diff --git "a/data/dm_maths/full_data_2/2005_11255.jsonl" "b/data/dm_maths/full_data_2/2005_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/2005_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 7280 divided by 20?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15266\/1041 + 2\/1041. What is the common denominator of k and -85\/22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 6:51 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4*i. Suppose c + 173655 = 4*t, 3*c - 31928 = -4*t + 141715. Let k(u) = -t - 8*u + 5*u**2 + 43413. Give k(p(j)).\nAnswer: 80*j**2 + 32*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94816 divided by -4.\nAnswer: -23704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 477793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*z**2 - 135220*z - 38632.\nAnswer: -4*(z + 4829)*(7*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (3 - 0)) + (5 - -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.4 - -4.4. Put 0.5, x, 2\/21 in decreasing order.\nAnswer: x, 0.5, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 + 25*p + 29*p - 51*p)*(73*p**2 - 2*p + p - 74*p**2 - 1) to k*p**3 + y*p**2 + c + n*p and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of q**3\/3 + 44*q - 1. Let v be x(0). Let y = v - 31. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1614507, -1614522, -1614545, -1614576, -1614615, -1614662?\nAnswer: -1614717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-9))\/(-25*(-28)\/6300).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6315? (a) -4 (b) -1 (c) 5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/((r*r**(-1\/3))\/r*r))\/r)\/r)**(1\/4)\/(r**1\/r*r*r*r**1))\/(r**(1\/10)*r*r**1*((r*r**1\/r*r)\/r)**(-15\/7)) assuming r is positive.\nAnswer: r**(-1417\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90 and 610.\nAnswer: 5490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/34 in 5, -4\/3, 20560?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18093 + 276.\nAnswer: 18369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ct when two letters picked without replacement from {m: 6, t: 1, d: 1, c: 2, l: 3}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*j + j + 114*j**4 - 2 - 1 - 26*j + 2 as x*j + z*j**3 + n*j**4 + t + k*j**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 96464.01 months in centuries?\nAnswer: 80.386675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 680 + s**2 - 121*s**4 - 508 + 1028 + 0*s**2 + 398*s**4 wrt s?\nAnswer: 1108*s**3 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-10)*10\/(-27). Let m = 133.4 - 133. What is the nearest to 2\/5 in m, f, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -753171, -3012737, -6778687, -12051027, -18829763, -27114901?\nAnswer: -36906447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2817.03 + 2817. What is the nearest to 1 in 5, n, -6\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*k + 2320, -k - q = -3*q - 472. Suppose 0 = 6*b - 3*b - k. What are the prime factors of b?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = u - 2*j, 3*u - 15 = 4*j + 19. Let d = -2 + u. Solve 0 = 4*n, 5*t + d*n - 5 = 4*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258 = -15*l + 1353. Solve -50*i = -l*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate q*z**3 + 68097*q*z**2 + 15*q*z + q - 9778116*z**3 with respect to q.\nAnswer: z**3 + 68097*z**2 + 15*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 + 34. Suppose -s*i + 4*d + 424 = 0, 431 + 629 = 5*i + 5*d. Let b = -109 + i. List the prime factors of b.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 1)*(2*z - z + 5*z)*(-63*z**2 + 9695 - 9695) in the form b*z + i + k*z**2 + q*z**3 and give q.\nAnswer: 1134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 334034869 rounded to the nearest 10000?\nAnswer: 334030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2297898333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8448, 32867, 73552, 130491, 203672, 293083?\nAnswer: 398712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 46113982 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 892 + 4*c**4 + 4*c**3 - 2*c**4 - 2*c**4 - 896 + 17*c**2 - 2*c - 2*c**4 as p*c**4 + i + l*c**3 + m*c**2 + f*c and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -677 + 992. Suppose -308 = -3*f + 5*g - g, -3*f - 3*g = -n. What are the prime factors of f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -297586491*d**3 + 943888685*d**2 wrt d.\nAnswer: -1785518946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/3*(3159\/(-26))\/27. Let r(t) be the first derivative of -t**4\/4 - 4*t**3 - t**2\/2 + 15*t + 1. Calculate the lowest common multiple of 11 and r(w).\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -635 + 720. Let u be (-2)\/1 + 119\/z. Which is the fourth biggest value? (a) -2\/5 (b) u (c) -0.1 (d) -2\/49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 83, 9, -41302 in ascending order.\nAnswer: -41302, 9, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/237575 and 121\/8840?\nAnswer: 1900600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(3*(-8)\/(-8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-196 - -199) + -15 + 1\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 5, 0.\nAnswer: 0, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 285 + -159. Suppose 0 = 5*z + 2*l + p, -l + 0*l = -2*z - 45. Let f be 1\/(-4) + (-558)\/z + -5. Calculate the greatest common divisor of f and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.32686 decades to millennia.\nAnswer: 0.2432686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 154, 181, 208, 235?\n\"Answer: 27*f + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 2*m + 2. Suppose 0 = 11*f - 15*f. Let b be o(f). Suppose 2*x = -t + 309, -b*x = -5*t + 2*x + 1601. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*v - 2*x + 43, -3*x = 0. Suppose v*f = 21*f - 26. What is the remainder when 232 is divided by f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -966258\/2994425 + -12\/12425. Let d = m - 82457\/3615. Let q = 23 + d. Which is smaller: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11039.994919 + 11040. What is z rounded to 4 decimal places?\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of i**4\/54 + 19*i**3\/27 - 22*i**2\/3 - i - 1017. Let f(n) = 0. Calculate n.\nAnswer: -22, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*o = 465*o - 144*o + 327 + 9735 for o.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*o = 8*o + o. Suppose o = -3*v - 2*z + 2, -2*v = -v + z. Factor 2*r**3 + 0 - 18\/7*r**v + 4\/7*r.\nAnswer: 2*r*(r - 1)*(7*r - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/8 and -89\/692.\nAnswer: 1384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -28\/55 (b) -4 (c) -231\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6106*c**2*p**5 - 92*c**2*p**3 + 759*c**2*p + 167 wrt p.\nAnswer: 122120*c**2*p**3 - 552*c**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.15 + -0.14. Round m to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 - 78256\/4824?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2342*g**2*h - 10*g*h**3 + 46595*h**3 wrt g?\nAnswer: 4684*g*h - 10*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-8)\/7)*5\/((-280)\/64)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 760 * 0.4.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 1 + 11*h - 5*h in the form q*h + m and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**2 - 34*a + 41. Let o be j(-18). Suppose 0 = -g - o*u - 8, 4*u - 24 = 3*g + 7*u. List the prime factors of -1 - 3 - (-83 - (4 + g)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 10, t: 4}. What is prob of picking 2 t and 1 y?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 41\/4 (b) -1 (c) -2 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 11*z**2. Let q(y) = 11721998*y**2. Calculate q(i(x)).\nAnswer: 1418361758*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 4*r - 3. Let w(m) = m**3 + 5*m**2 + 3*m - 1. Let f be w(-4). Let q be j(f). Which is the closest to q? (a) -4 (b) 1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, i: 2, d: 1, e: 1}. What is prob of sequence nd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1405 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 1620 = b. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-6*(-1 + sqrt(125) + 1 + sqrt(5) + sqrt(5)))**2.\nAnswer: 8818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + -2 - 4\/(-6). Let i be (81\/24 - 3)*-1. Let f = -1.8 + 2. What is the nearest to h in i, f, 5\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*i**3 + 8*i**3 + 19*i**4 + 19*i wrt i.\nAnswer: 228*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**5\/3 - 140*j**4\/3 - 886*j**3\/3 - 1952*j**2\/3 - 1816*j\/3 - 608\/3 = 0?\nAnswer: -2, -1, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1116.1 - 1096.144. Let g = -20 + d. Let c = g - -0.04447. Round c to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 8*t + 9. Let m(w) = -12*w - 14. Let y = 244 + -249. Calculate y*m(n) - 8*k(n).\nAnswer: -4*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -68 and -122318\/1761 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k - 1. Is 2 a factor of j(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 965699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 32, 7 in ascending order.\nAnswer: -2\/7, 7, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-243820)\/(-1314) - 183 - (-2)\/(-18).\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 4*o + 27, -v - 3*o = -0*v - 1. Suppose -j - 4*w + 6104 = 0, -v*j + 3*j - w = -24401. What is j rounded to the nearest 100?\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 508 and 2460.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 3*k + 97, -5*k + 249 = 4*q - 193 + 517 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t**2 - t + 1. Let w(p) = -p**2 - p + 1. Let g(r) = n(r) - w(r). Let h(a) = -9*a**2 + 2*a**2 - 6*a**2 + 2*a**2. Calculate h(g(f)).\nAnswer: -44*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h + 8*h**3 - 3*h**2 + 4*h**2 - 16109 + 16107 to the form n*h**2 + c + b*h**3 + a*h and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 35262 - -1103?\nAnswer: 36365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fllfflfflfffffffff. What is prob of picking 4 l?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.06839483 - 0.0684. Round k to seven dps.\nAnswer: -0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20260 - 2?\nAnswer: 20257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 56210664787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84898 is divided by 42339?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308*m - 3732 = 888 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 3, 11.212, 2 in decreasing order.\nAnswer: 11.212, 3, 2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1769.274 minutes to days.\nAnswer: 1.2286625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**2 + 142*j + 1043 = 0.\nAnswer: -7, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 1.1. Let r be 934\/84 - (-4)\/(-14). Let p = 43\/4 - r. Which is the nearest to 2? (a) p (b) z (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/48 - (-2914)\/1488\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**2 + 136*h**3 + 5*h**2 - 142*h**3.\nAnswer: -6*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 1 - -8)\/(98\/49). What is the smallest common multiple of 9 and (-5)\/30*-106 + v\/12?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2287 + -2300.03. Let b = p - -13. Let i = -1445 - -1442. What is the third biggest value in i, -4\/5, b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -243*w**3 + 1889441289*w**2 + 839751720*w + 93305748.\nAnswer: -3*(w - 7775479)*(9*w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3354997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 20 = 2*z - 5*r, -4*z - 12 = -3*r. Let v be ((-1440)\/108*9\/4)\/(3\/(-2)). Solve -6*c + 2*c - v = z for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -7*o - 38. Calculate m(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(3\/7)*d)\/(d*d**(7\/5)\/d))\/(d**(-3\/5)\/d**(-4)))**(-7\/5) assuming d is positive.\nAnswer: d**(118\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/27)\/((-30)\/(-405)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/15 or 252904?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c - 4 + 0*c + 4*c. Let q be v(5). Suppose -q = -4*t + 18. Solve t = 2*a - 6*a + 2*n, 4*a + 2*n = -2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -s**4\/12 - 5*s**3\/3 - 7*s**2\/2 + s. What are the prime factors of w(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1\/4, 3, -417952 in descending order.\nAnswer: 4, 3, -1\/4, -417952","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 2*y - 17. Calculate u(-9).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -10. Solve 0 = p*z + h + 11, -5*z + 3*h - 6 = -h for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/4671 and 41\/4671.\nAnswer: 4671","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vol when three letters picked without replacement from {u: 3, o: 2, l: 2, v: 4, x: 2, a: 3}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 4*c + 3*x, -3*c + 4*x = -4*c + 11 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -16, -2*d - s + 2 = -3*s. Let i(m) = -3*m - 6. Let b be i(-4). Let r = b - d. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1291640 divided by 659.\nAnswer: 1960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1815*w + 3*t - 3 = 1817*w, -8*w = -4*t + 36 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-442)\/(-6))\/((-4)\/(-12)). Let o = s - 312. Is (-4)\/(-6) - o\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35739 is divided by 10332.\nAnswer: 4743","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41474196, -41474210, -41474234, -41474274, -41474336, -41474426, -41474550, -41474714?\nAnswer: -41474924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 29*q**2 + 6*q - 1393. Let y be m(-36). Calculate the greatest common divisor of 25 and y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 684 is divided by 98.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.12+734\nAnswer: 733.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 94744500 to the nearest one hundred thousand.\nAnswer: 94700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 at most 327?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -2. Do -2 and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1174*r + 82 wrt r.\nAnswer: 1174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.5166804 nanoseconds?\nAnswer: 0.00000000000861134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3225 + 1403?\nAnswer: 4630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12031 + 300022000?\nAnswer: 300100031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*j + 6*j = -36. Solve h + j*h = -6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/(-30)*(-2)\/(-7). Let g = -3 + 7. What is the third smallest value in g, -3\/4, f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 192988 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -2 - (-1 - (5 + -14))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205556335?\nAnswer: 5, 67, 379, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 10*x**2 - 7*x - 1. Let f be (5\/(5\/9))\/3. Calculate the remainder when q(f) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 42\/8 - 7\/28. Suppose x*m = m. Suppose q + 5*k - 7415 = m, q - 4*q + 22185 = -5*k. 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 the second derivative of 20260453*g*x**2 - 160*g*x - 12652*g wrt x?\nAnswer: 40520906*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 553\/(-462) + (-6)\/(-9). Let p = 3\/22 - n. Let j = -10 - -15. What is the closest to 1 in j, p, 2\/23?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, m: 3, v: 4, p: 8}. What is prob of picking 1 m, 1 v, and 1 p?\nAnswer: 12\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/45 - (-2 - -1). Let h = -89\/120 + b. Suppose 16 = -l - 2*j - 3*j, 4*j = -2*l - 14. Which is smaller: l or h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p + 3*p + 2*p + (108 + 6 + 615)*(2 + 4 - 4)*(-2*p + 2*p + 4*p) to the form k + n*p and give n.\nAnswer: 5834","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2937484?\nAnswer: 2, 11, 101, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.21 + -0.2. Let n = l - -0.39. Let u = -1337\/3 + 446. Sort n, u, -1\/3.\nAnswer: -1\/3, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b = -5*b - 1053. What is the remainder when b is divided by 22 - ((-5)\/(-3) + (-16)\/24)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 320391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 4*s - 3*j, 5*s + 50 = -9*j + 14*j for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**3 - 1092*l**2 - 55650*l - 54556 = 0.\nAnswer: -46, -1, 593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f**(5\/6))\/f)\/f)\/f**(1\/7))\/(f\/(f\/f**(2\/15))*f*f*f*f**3) assuming f is positive.\nAnswer: f**(-451\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-2\/21)*o)\/o)\/o*o**(1\/4)*(o*(o*o\/o**1)\/o*o)**30)\/((o\/(o\/(o*o**(2\/7))))**(24\/7))**(-35) assuming o is positive.\nAnswer: o**(18029\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 784c7 (base 15) to base 4.\nAnswer: 1131113332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 9 + 16 + -23. What is the first derivative of -r**2 - r**2 - 49 - 91 - 26*r**u + 36*r**4 wrt r?\nAnswer: 40*r**3 - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (26\/(-26))\/(-4 + 2 + -1). What is the closest to -1 in 2\/3, 5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -830552 or -830551?\nAnswer: -830551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 524*l + 1576. Calculate b(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 159 + -466. Let k = q - -307.05. Let f = -499\/4 + 124. Which is the third biggest value? (a) f (b) k (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -27*h. Let q(w) = 33*w - 21. Give q(z(n)).\nAnswer: -891*n - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 32*f**2 + 70*f + 61. Determine g(-34).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 261373941*u**5 - 113615140*u**2 wrt u?\nAnswer: 15682436460*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*f + 47*f - 15*f**2)*(-2*f - 59 + 59).\nAnswer: 30*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -139*z - 596 + 596 + z - 3 + 3 + (6 + 0 - 4)*(-4*z + 5*z - 3*z) + (0 + 3 - 2)*(z + z + 0*z).\nAnswer: -140*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117268 and 3352939?\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/1*(-22)\/(-693)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 202*i**2 - 9964*i - 47. What is n(-41)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 11:26 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 2*x - x)*(-3*x**3 + x - x) - 6*x**4 - 62*x**4 - 29*x**4 - 3*x**2 + 3*x**2 + 2*x**4.\nAnswer: -98*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 34\/9 in 5, -0.187, -11\/20?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001075278 rounded to five decimal places?\nAnswer: 0.00108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/8 of a millimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*i + 44. Calculate the smallest common multiple of i and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4625*l**3 - 4675*l**3 + 9298*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 7*j**2 + 9*j + 10. Let r(b) = -2*b - 2. Let q be r(3). What is the units digit of l(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/13 (b) 2\/5 (c) -0.1 (d) 6 (e) 2 (f) -2\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 2. Let k be u(-2). Let x be ((-2)\/44)\/((-1)\/k). Let q = 80 + -84. Which is the closest to 0? (a) 0 (b) q (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -96 in 0.2, 2\/7, 5, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k + 11. Does 29 divide p(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 661757 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 117899883 a multiple of 256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x**2 - 2*x**2 + 5*x**2 + (-33*x**2 - 4*x**2 + 11*x**2)*(0 - 3 + 0))*(-2*x**2 + 4*x**2 + 0*x**2).\nAnswer: 152*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*p = -159*p - 2*j + 233, 2*p - 74 = -4*j. Solve p = -46*w + 325 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 l when four letters picked without replacement from kcclckllkkkkkktcktk?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (816\/1020)\/(38\/(-5415)*3\/1)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -48*u**3 + 11*u + 72.\nAnswer: -144*u**2 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 1. Let u(n) = 4*n**2 - 6. Suppose -2*v - q - 1 = -v, -v = 5*q + 1. Calculate v*u(h) - 6*m(h).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47 - -48. Which is the closest to 0.1? (a) w (b) -2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 16, 39, 72, 115?\nAnswer: 168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/8 + (-2 - (-9)\/12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 347.5 + -597. Let q = -249 - l. What is the closest to 3 in 0, q, 2\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 6:50 AM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2379033, -2379025, -2379017, -2379009, -2379001?\n\"Answer: 8*n - 2379041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 1641, -98151\/8, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01438518113 rounded to five dps?\nAnswer: 0.01439","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 166528372 and 1784?\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.172463 times 0.2\nAnswer: 0.0344926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3872, 4, 7 in ascending order.\nAnswer: -3872, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2438.\nAnswer: 2, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/4*(-50)\/(-15). Suppose -v*k + 1 = -14. Suppose -j = -5*f - 28, 0*j - k*j + 36 = -3*f. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 1. Let d be (-21)\/(1323\/14) + 58\/18. Solve -4*i - d*s = 5 - u, -5*i - s - 1 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1203779 is divided by 80245?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4*(sqrt(20) + 4 + sqrt(20)) + -2)**2.\nAnswer: 576*sqrt(5) + 1609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27314395 and 40?\nAnswer: 218515160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - -10. Let b be ((-5)\/15)\/((-2)\/12). Suppose 5*a - 3*v = 49, 3*a - 20 = b*a + 4*v. Solve -5*p - 29 = -2*s, 0 = -5*p - s - r - a for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1220 and 296476775?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9322.\nAnswer: 2, 59, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21.921 + 22.021. Which is the nearest to g? (a) -2\/11 (b) -1\/5 (c) -4 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*y - 268 - 65 + 63. Let f(u) = 9*u - 42. Give f(y).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 319821440 to the nearest integer?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 210 or 209?\nAnswer: 209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 232390*n**3 - 3*n**2 - 17*n + 84?\nAnswer: 1394340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**3 - 7*d. Let j = -512 + 482. Let v be 42\/(-3)*5\/j*3. Let r(y) = -y**3 - 3*y. What is v*r(g) - 3*q(g)?\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.84106 to one decimal place.\nAnswer: -30.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 290776?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -717, -3216, -10059, -23418, -45465, -78372, -124311?\nAnswer: -185454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/5 + -7)*-8. Suppose d = -9*h + 210. What is the third derivative of -l**2 + 15*l**5 - h*l**2 - 614 + 614 wrt l?\nAnswer: 900*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -730663 or -730664?\nAnswer: -730663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -37*k**2 - 41*k - 70. Let h(q) = -13*q**2 - 14*q - 23. Let b(m) = 17*h(m) - 6*l(m). What is the smallest common multiple of 14 and b(-7)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15.11 + -15. Let l = -0.11 + t. Which is the nearest to l? (a) 0.3 (b) -4 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-52)*12428\/(-11472).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 9*i - 16. Let b(n) = n**2 - 13*n + 0*n**2 - 3*n**2 + 15*n + 5. Let s be b(-2). Let j be y(s). Which is greater: 0.02 or j?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 17*d**4\/3 + d**2\/2 + 21*d. Find the first derivative of c(r) wrt r.\nAnswer: 136*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 32176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from {c: 15, u: 3}.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -t**6\/120 + t**5\/30 + t**4\/24 - t**3\/6 - 33*t**2. Determine g(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 387053?\nAnswer: 293, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7740, 7750, 7768, 7794, 7828, 7870?\n\"Answer: 4*d**2 - 2*d + 7738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1760 divided by -28?\nAnswer: -440\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 20*l**2 - 21*l - 4. Let c be y(-21). Find the common denominator of -74\/3 and c\/(-32) - ((-937)\/(-584) - 2).\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-140)\/(-56))\/((2*-1)\/4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 4687119997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -6*w + 19 - 28, 5*w + 3*u + 0*u = 20 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 0. Suppose 3*r - 1837 + 250 = f. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -166, -158, -150, -142, -134?\n\"Answer: 8*w - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01573402153 to 4 decimal places.\nAnswer: 0.0157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 169*s**2 - 3*s - 3. Let x be (24\/15 + -2)\/(3\/(-15)). Is o(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1700\/(-15))\/((-1)\/3). Let m = -164 + h. What is the greatest common factor of m and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65741 (base 8) to base 11\nAnswer: 19827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01744755775 to four dps.\nAnswer: 0.0174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000376996674 rounded to 5 dps?\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 162 - 161.782. Let x = r - 0.906. Round x to 2 decimal places.\nAnswer: -0.69","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5405*s*u**2*z**3 - 2*s*u*z**3 - 2*u**2*z**3 - 13*u*z**3 - 108*z**3 with respect to s.\nAnswer: -5405*u**2*z**3 - 2*u*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -1d?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l + 3. Let n(f) be the third derivative of 0*f + 4*f**2 + 0 + 1\/24*f**4 - 1\/3*f**3. Determine 4*i(j) + 5*n(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 3*i = -21, 4*s = -23*i + 25*i + 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 5, 22.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = j - 0*j, -2*j = 3*b + 19. What is the units digit of 773\/b*(-7 + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 3*k**2 - k - 3. Suppose -5*x = i - 2*x + 15, 19 = -i - 4*x. What is f(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*g**2 + 132*g - 41*g - 71*g + 89*g**2 - 20*g.\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0223 - 0.602. Let s = -0.0497 - t. Is s bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -23*q. Let s(v) = -114*v. Determine 19*j(k) - 4*s(k).\nAnswer: 19*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 1. Let d(c) = -4*c**2 - 10*c - 10. Give d(p) + 8*n(p).\nAnswer: -4*p**2 - 10*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3*(((sqrt(17) + 1)*3)**2 + (sqrt(833) - (sqrt(833)*2)**2)) + (-2*1*sqrt(119) - sqrt(119))\/(sqrt(567) + 1*sqrt(567) + sqrt(567))).\nAnswer: -674*sqrt(17)\/9 + 9510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2801*p - 34651. What is q(13)?\nAnswer: 1762","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + p + 1073789 = 0, -4*q = -8*q - 3*p + 1073801. Let v = -99448 + q. Round v to the nearest 10000.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -102*j + 55*j**2 + 268*j - 2*j - 44*j + 5*j**3 - 180.\nAnswer: 5*(j - 1)*(j + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 1. Let k(z) = 2*z + 44. Let o = 34 + -56. Let x be k(o). Let n be p(x). Which is the nearest to n? (a) -2 (b) 1\/4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.7 and 4148412?\nAnswer: 7052300.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/364 and -91\/24.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 434763 divided by -48307\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b8485 + 2?\nAnswer: b8487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**2 + 45239383*p**3 - 3*p**2 - 45238907*p**3.\nAnswer: 476*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 111482.3 + -117779. Let o = 5721 + q. What is o rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -104*z**3 - 3*z - 2. Let u be f(-1). Suppose 412 = 4*y - 4*s + 2*s, -4*s + 16 = 0. Is u != y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 + (-298233)\/(-9) + 5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*s + 280 = 129636*z - 129631*z, -4*s - 35 = -5*z for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -312303 (base 4) to base 5\nAnswer: -103012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -4*q - 5\/2*q**3 - 1\/20*q**5 + q**2 + 4\/3*q**4 + 0. Let w be h(15). What is the highest common factor of 16 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2537, -3, -2, -93, -4, 0.\nAnswer: -2537, -93, -4, -3, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and 5?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 9:00 AM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of 6*f**7\/35 + f**4\/12 + 2*f**3 + 20*f**2 - 2. Find the second derivative of x(i) wrt i.\nAnswer: 432*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2383 times 2?\nAnswer: 4766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -3*f + 3*s, -4*f + 9105*s + 25 = 9100*s for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.547877 rounded to 2 dps?\nAnswer: -2.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7165250*p - 4661 = 7165329*p for p.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 14, 3, 1 in decreasing order.\nAnswer: 14, 4, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20680434 + 10145690. Let d = -10534788.000089 - k. Let t = d - -44. What is t rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -4*u + 259, -4*u + 2*p + 130 = -2*u. Suppose 0 = 6*d - 2*d - u. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157541225.\nAnswer: 5, 31, 203279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 592 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/9912 and -101\/218182?\nAnswer: 18327288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 13*j - 140 = 0. Calculate the greatest common factor of 28 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 - -32. Which is the closest to v? (a) 3 (b) 0.05 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -49*i + 5*i**2 - 4*i**2 + 58*i + 17. Is c(-10) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 8*g + 10. Let t be q(8). Suppose 5*f + 530 = t*f. What is the remainder when f is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67803.57 years in decades?\nAnswer: 6780.357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.33567 times 7\nAnswer: 2.34969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -378 - -5672\/15. Put -1\/5, 0.1, 27\/8, h in descending order.\nAnswer: 27\/8, h, 0.1, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2999.38 days to hours.\nAnswer: 71985.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -1 + 3*v**2 + 2 - 7*v**2 + 0. Determine i(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4292 + 8585\/2. Which is the closest to 0.04? (a) 0.05 (b) 2\/13 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13277 - 13276.8. Which is the second smallest value? (a) -0.109 (b) -1\/6 (c) t (d) -5 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -920*r + 3148*r + 104 - 912*r - 1316*r + r**2.\nAnswer: r**2 + 104","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**4 - 444*y**3 + 16425*y**2 + 444*y - 16428.\nAnswer: 3*(y - 74)**2*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 1 = -3*w. What is the lowest common multiple of 93 - 1\/(1\/(-3)) and w?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -3\/1046?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s - 438 = 612. Let t = s + -45. Is t a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -8*u**3 - 2*u**2 + u + 2. Let a be (-4)\/((-5)\/(10\/(-4))). Calculate the remainder when z(a) is divided by (-3)\/(-2)*(-304)\/(-24).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of 1\/12*h**4 + 0 + 1\/2*h**3 - 10*h + 3\/2*h**2. Give k(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71 times -3641\nAnswer: 258511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -270*v**2 - 2. Let j(x) = 2*x. Give j(m(w)).\nAnswer: -540*w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**2 - 171*r + 1323. Determine g(7).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 680181263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + r - 5. Suppose 0 = -5*s - 5*v + 90, -s - 2*v + 14 = -2. Let c be ((-6)\/(-10))\/(2\/s). Is b(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) 0 (b) -42 (c) -94\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h. Let w(n) = 5*n**2 + 72*n. Let i be (-7)\/(-28)*-4*1. Let u(a) = i*w(a) + 2*j(a). Find m such that u(m) = 0.\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 5*u + 2. Let p be w(-5). Suppose 4*b = -4*d - 4, 16 = -2*b + b - 4*d. Factor a**2 - 2*a**5 - p*a**4 - 4*a**3 + 5*a**3 + a**b + a**5.\nAnswer: -a**2*(a - 1)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight thirds of a hour?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2655391283?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7500, 29986, 67466, 119940, 187408?\nAnswer: 269870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(-10)*68\/748.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -99950 (base 11) in base 10?\nAnswer: -144892","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 82 - w - 241 - 12*w + 99 + 95 in the form q*w + n and give n.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156 + p + 7*p - 154.\nAnswer: 8*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06*1384.\nAnswer: -83.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-3) + 16\/(-3). Let o = i - -7. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-10)\/(-12))*(-443)\/(-4873)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38624 or -38508?\nAnswer: -38624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5216 (base 7) to base 11\nAnswer: -1410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5*b**2 - 9*b**2 - 2*b**2. Let o(g) = 23*g - 37*g + 17*g. Calculate a(o(u)).\nAnswer: -54*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**5 + 76*d**4 + 96*d**3 - 2880*d**2.\nAnswer: 4*d**2*(d - 5)*(d + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4, -5, 6.\nAnswer: -5, 4, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 2*z - 129 + 1649, -5*m + 3803 = -2*z. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66810 (base 10) to base 12\nAnswer: -327b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 16 + 1 = 0, a + 2*b + 4 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l*l\/(l\/((l\/l**(-1\/4))\/l*l)*l*l*l*l*l*l))\/l*l)**(-50)\/(l**(-4)\/l**(1\/2)) assuming l is positive.\nAnswer: l**142","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -i - 0*p + 58, 0 = -i - 5*p + 65. Find the second derivative of -9*m - 110*m**5 + 55*m**5 + i*m**5 wrt m.\nAnswer: 100*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13 and 2.9.\nAnswer: 37.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/75 and 8\/3.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 36235 (base 9) in base 13?\nAnswer: b066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/629 and -34\/13949.\nAnswer: 237133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85 + -12 + (36 + -60 - -2).\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4.1, 3, -0.1, -2, -6\/7?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -35\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1205, 2094, 2983, 3872?\n\"Answer: 889*u + 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - 2*z - 20. Calculate the least common multiple of z and 23.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -71 in -0.4, 5, -3, -1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -77*q**5\/60 - q**3\/6 - 1929*q**2. Let p(d) = -2*d. Give x(p(b)).\nAnswer: -308*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h**4 + 2*h**3 - 217 + 217 - 2*h + 4*h**2 - 6*h**4 to the form y*h**2 + z*h + l*h**3 + s + a*h**4 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-6))**49*(c**(-7\/6))**(3\/34) assuming c is positive.\nAnswer: c**(-16667\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/149 in 0.1, -2, -61?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 674988?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136126 - 302862 + 166736 - 6*r**3.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39*a**3*i**5 + a**3 - 30*a + 4*i wrt i?\nAnswer: -780*a**3*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56712 and 1455608?\nAnswer: 4366824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(216)*2 - sqrt(216))*1 - (sqrt(216) + (sqrt(216) - (2*sqrt(216) + sqrt(216))) + sqrt(216))*-1)\/(sqrt(8)*-1*-4 - (sqrt(40)*-2)\/sqrt(5)) + -2)**2.\nAnswer: -2*sqrt(3) + 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4687*m + 14075. Let t be q(3). Let y = -11 + 23. Solve 4 = t*h - y*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 123 (b) -1\/4 (c) -2 (d) 3\/4 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 - 20345*u**2 - 103713327*u - 2374656183.\nAnswer: -(u + 23)*(u + 10161)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 827\/(-22 - 1139\/(-51)) is divided by 75?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/5 + (-48)\/195. Let m = 13.2 + -11.2. What is the closest to -1 in 1, v, m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1288 - -1318 - (49 - -1).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7464*a**2*h + 106*a**2 + 13*a + 58416*h wrt a.\nAnswer: 14928*h + 212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a kilogram in grams?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5063.311 - 5064. Let o = 6.25 - 7. Let y = o - l. What is y rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**24)**(-1\/35)\/(k*k*k**(-2)*k*k)**10 assuming k is positive.\nAnswer: k**(-724\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 3*b + 0*b)*(-40*b**3 + 1233*b - 1233*b) + (2*b**3 + 4*b**2 - 4*b**2)*(0*b - b + 3*b) + 5*b**4 - 2*b**4 - 4*b**4 + 2*b**4 + 0*b**2 + 0*b**2.\nAnswer: 45*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 219991391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 165\/4 + 25\/2*k**2 - 14*k**3 + 68*k + 1\/4*k**4.\nAnswer: (k - 55)*(k - 3)*(k + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k = -7*k - 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/10*(-11)\/((-528)\/(-40))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -172*x**2 - 92*x + 5. Let w(h) = 34*h**2 + 17*h - 1. Determine 2*r(v) + 11*w(v).\nAnswer: 30*v**2 + 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r**3 - 10*r**3 + 3*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17779 by -5.\nAnswer: -17779\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -443338 - -18?\nAnswer: -443320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1*sqrt(567) + sqrt(567))*2 - ((sqrt(77) - (sqrt(77)*-2 + sqrt(77)))*-2)\/(sqrt(11)*-2*-3).\nAnswer: 542*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 7*q + 4*q - 8 = 0, 5*w - 3*q - 4 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 1111 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - m + 52 = 3*m, 5*m - 50 - 4 = 48293*y - 48297*y for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**2 + a**2 + 2*a**2)*(3 - 2 - 3) + (2*a + 1 - 1)*(3*a - 2*a - 4*a) - 6*a - a**2 + 6*a.\nAnswer: -23*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/95 - -102\/665. Let h = 0.002 + -0.502. Let g = 0.1 + 0.9. Which is the second smallest value? (a) h (b) g (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 8*s + 2. Determine t(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 24*i - 132. Calculate the least common multiple of (9\/(-6))\/(2\/(-4)) and q(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14290 and 10690.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 3:02 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 35 = 5*j, o + 35*j = -o - 171 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/2 - 0) + (-77)\/42. Sort g, 5, 4, 1.\nAnswer: g, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and -27458684762029.\nAnswer: -27458684762029.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*o = -3*o + 640 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((18\/(-2))\/(-18))\/((-2)\/14)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -5, 1, 0 in increasing order.\nAnswer: -5, 0, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*b - 30*b - 5*b)*(0*b**2 + 3*b**2 - 5*b**2) to the form f*b + o + j*b**3 + w*b**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 - 5)*(0 - 4 + 2)*(-150*d - 81*d + 354*d).\nAnswer: 1968*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 3 = -4*u. Which is the second smallest value? (a) -0.038 (b) u (c) -4\/9 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03641 * -206.\nAnswer: -7.50046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-25 - 4 - 38)*(-6 + 0 + 3)*((0 + 1 - 3)*(j + 1 - 1) + j + j - 4*j) in the form l*j + f and give l.\nAnswer: -804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of o**3\/3 + 2*o**2 - 11*o + 1. Let f be k(-8). Let t = f - 15. What is the remainder when t is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 7:03 PM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -144 - -148. Let n = c - -32. Does 36 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.106+15.505789\nAnswer: 15.611789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.07 or -3411?\nAnswer: -3411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -4137*v - 63. Is s(-2) a multiple of 161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 21\/(-49) + (-300)\/(-14). Let o = c - 22. Let k(r) = -8*r**3 - 8*r**2 - 6*r - 2. Let f(g) = g**3 + g**2 + g. Give o*k(d) - 6*f(d).\nAnswer: 2*d**3 + 2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5812 + 98741\/17. Let z = t + 2\/51. Let d = 78 - 445\/6. Find the common denominator of d and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -62? (a) 0.4 (b) -153\/20 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 974998 and 54 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 y when three letters picked without replacement from {g: 9, y: 7}?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 14*u - 20. Let f be o(12). Differentiate -q**3 + 23*q**f + 4*q**3 - 87 + 74 wrt q.\nAnswer: 92*q**3 + 9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o**2 + 4 - 4)*(o + o + 0*o) + (-o**3 - o**3 + 3*o**3)*(7 + 5 + 2)*(-4 + 5 + 0)*(-3 - 2 - 5) to the form t*o**2 + g + z*o**3 + u*o and give z.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261690 is divided by 793.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**5\/11 - 670*v**4\/11 + 80736*v**3\/11 - 4086272*v**2\/11 + 6379520*v + 6758400 = 0 for v.\nAnswer: -1, 40, 88, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbqzl. What is prob of picking 1 q and 1 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -557 + 785. What is the remainder when q is divided by 58?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2 + l + 1. Suppose 1 = 2*t - 3. Let d be k(t). Let v = d + 1. What is the remainder when 22 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 6*k = 0. Solve k = 5*o - 6 + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4*o - 64 = 0, 4*o = -0*u - 5*u + 82. Suppose 2*i + 0*i - 40 = -x, i = -x + u. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.08792 + -4.08792. Put -2\/7, 1\/12, -0.6, d in decreasing order.\nAnswer: 1\/12, -2\/7, -0.6, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 15. Let w be 1*(-2)\/(-26)*-2. Let x = -3211 + 3206. Which is the closest to f? (a) w (b) -0.4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 16*t. Let b(m) be the second derivative of -m**6\/360 + 19*m**4\/3 + 3*m + 4. Let z(i) be the third derivative of b(i). Calculate s(z(d)).\nAnswer: -32*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 3*k - 0*k + 5*y, -k - 16 = -5*y. Let p(r) = -3 - 1 + 21*r + 2*r. What are the prime factors of p(k)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -d - 31. Let r = 120052\/5 - 24100. Let q = r - d. Do -3\/5 and q have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0113 rounded to 4 decimal places?\nAnswer: -0.0113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/1960 and -73\/13460300?\nAnswer: 26920600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4602216295 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21312 - -15919. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 45. Let b be (0 - 6)*33\/q. Calculate the greatest common divisor of b and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -4*s**2 - 4*s + s**2 + 0*s**2 + 5. Let v(b) = 2*b**2 + 2*b - 2. Let a(h) = 5*v(h) + 2*z(h). Find the second derivative of a(l) wrt l.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjquqsujososyj. Give prob of picking 1 y, 1 u, and 2 j.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**2 + 75178486*a = 0.\nAnswer: 0, 75178486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 12 - 5*y + 3*y)*(y**2 - y**2 - 11*y**2)*(-5*y - y + 3*y).\nAnswer: -33*y**4 - 396*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 404 - 402. Let z be 44\/21 - m - (-113400020)\/(-210). What is z rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q - 2. Give d(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**4 - 2*l**4 + 0*l**4 + (-2629*l**2 - 7341*l**2 + 2642*l**2)*(l**2 + 0*l**2 - 3*l**2).\nAnswer: 14654*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -40807, -40866, -40957, -41074, -41211, -41362?\n\"Answer: a**3 - 22*a**2 - 40786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 31 and 7?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-10))\/((792\/60)\/22)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 17558?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 148, 194, 236, 274?\nAnswer: 308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 5*f - 14. Let i(a) = 2*a - 5. Suppose 9*n - 6 = 30. Let z = -19 - -8. Give n*b(u) + z*i(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2320*b - 1171*b - 1830 = 1179*b for b.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -34 - 14. Suppose 2*j + x = 6*j. Sort j, -4, -2.\nAnswer: -4, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/1 - 5)*(-12)\/(72\/(-507)). Put 6, 5, d in ascending order.\nAnswer: d, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(5) + sqrt(880)\/sqrt(11)).\nAnswer: 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4121747 to the power of 1\/2, to the nearest integer?\nAnswer: 2030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, y: 17}. What is prob of picking 4 y?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**3\/11 + 14*u**2\/11 - 31*u\/11 + 16\/11 = 0.\nAnswer: -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -21) + 2 - (4 + -6 + -2).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -2*k - 8, -873*k - 12 = 12*z - 870*k for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.3 and -2.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 1. Let s(f) = -7*f**3 - 2*f + 4. Give -3*g(z) + s(z).\nAnswer: -4*z**3 - 2*z + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -5*z - 5*j, -2*z + 4*j - 689 + 705 = 0. Let s be 1\/3 + (-364)\/12. Let v = s + 60. What is the greatest common divisor of z and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/3))**44*(t\/(t**4\/t)*t)\/(t\/(t\/t**(3\/5))) assuming t is positive.\nAnswer: t**(416\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-3))\/(480\/900).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 22*a. Let u = 133697 - 133657. Calculate the least common multiple of u and d(2).\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -8*z**3 + 2*z**2 + 2*z - 3. Let i be -13 - (-138)\/6 - 4*2. What is p(i)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r - 15. Let x(y) = 7*y + 29. Let d be -5 - (-36)\/7 - (-58)\/(-14). Let u(g) = d*x(g) - 9*c(g). Calculate the remainder when 19 is divided by u(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (59 - -88)*7\/(-3). List the prime factors of 6*(-4 - w\/14).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(3\/2*-11)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide -264820*(-21 + (-2808)\/(-135))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 0 + 0*a + 5*a**2 - 7 + a**2 + 16*a. Does 30 divide h(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 16*c - 63. Let w be n(-7). Let l(g) = -7*g + 4*g**2 + 0*g**2 - 5*g**2 + 0*g**2 - 2 + w*g**2. Give l(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**4 - 35*o**3 + 70*o**2 - 40*o = 0. What is o?\nAnswer: 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + q)*(-5*q + q + 0*q) + (3*q**2 - q**2 - 4*q**2)*(1 + 0 + 0) - 2*q**2 - 1 + 1.\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(1377) - (0 + 1*sqrt(1377))**2)*3.\nAnswer: -4132 + 27*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/((6 + -10)\/(-5 - 137)). Sort -3\/2, -16, w in decreasing order.\nAnswer: w, -3\/2, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*5*4 - 1*sqrt(77)*5)\/(sqrt(175) - sqrt(175)*2*2 - (sqrt(175) + (sqrt(175) - 1*sqrt(175))*-6)))**2.\nAnswer: 99\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -25184 divided by -4\nAnswer: 6296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23012 divided by 11.\nAnswer: 2092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1310 * -11\nAnswer: -14410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -122733 - -122545.982. Let f = -187 - h. Which is the third smallest value? (a) -1 (b) -5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14375021 or 14375020?\nAnswer: 14375021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -88 (base 12) to base 13\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-20)\/(-7) + -2)*28. Suppose -3*i + k = -3. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 279863392 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 11 - 1. Let r(v) be the first derivative of v - 2 + 0*v**2 + 1\/4*v**t + 0*v**3. What is the first derivative of r(u) wrt u?\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 889 + -533. Let f = 1029 - h. Is f 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 6:24 AM and 4:02 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.6678438g?\nAnswer: 667843.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62930 and 3959196.\nAnswer: 1798","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4241727 and 538632?\nAnswer: 33933816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 3:21 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 18*o**3 - 243*o**2 - 202*o + 65. Let k(m) = -89*m**3 + 1214*m**2 + 1011*m - 325. Let v(b) = -2*k(b) - 11*q(b). What is c in v(c) = 0?\nAnswer: -1, 1\/4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y**3 - 3*y**2 + 3*y + 2. Let x(p) = -4*p**3 - 4*p**2 + 4*p + 2. Give -4*u(t) + 3*x(t).\nAnswer: 4*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b**2 + 1 - 1. Let k(j) = -5*j - j**2 + 5*j. Give u(k(t)).\nAnswer: 3*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*o**6 - 234*o**3 + 672*o**2 - 4*o - 2 wrt o?\nAnswer: -720*o**3 - 1404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -118, -332, -732, -1378, -2330, -3648?\nAnswer: -5392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, -0.021, 5, -1\/3, -277?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/49 - 848\/896?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -26 (c) -5 (d) 26 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6076823966.47 less than -1.5?\nAnswer: -6076823967.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 114675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 1)\/2 + 2. Let y(n) = n**3 + 1. Let s(j) = j**4 + 2*j**3 - j**2 + 2. Let q(d) = m*y(d) - s(d). Factor q(k).\nAnswer: -k**2*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + c + 28. Let l be 1 + (1 - 0) + c. Differentiate -1 + j**2 + 30*j + 2 - l*j wrt j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11232202321 - -1?\nAnswer: 11232202322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27824*m + 47558 with respect to m.\nAnswer: 27824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.47 - 12.87. Let m = u + 17. What is m rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36422273 is divided by 118254?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -223 - -232.3. Round z to 0 dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + u - 64, -77 = -5*n - 2*u + 82. What are the prime factors of n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14 + -88?\nAnswer: -9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c + 1. Suppose 11 = -0*q + 2*q + 3*a, 3*a = -9. Calculate z(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 15*r + 32. Determine b(-14).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -192*d**2 + 9 + 389*d**2 + 4*d + 0 - 198*d**2. What is y(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 - 2*w**2 - 2*w**2)*(4078565 + 138*w**2 - 4078565 - 7*w**3).\nAnswer: 7*w**5 - 138*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1581386*q**4*u - 48*q**2*u + 93*q*u + 1277390*q wrt q?\nAnswer: 18976632*q**2*u - 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -0*p - 3*i + 1281, 1284 = -3*p + 2*i. Let x = p - -9888\/23. Let w = 6 - 10. Which is the closest to 0.1? (a) -3 (b) x (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*r - 296*r + 15*r + 1216 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4*c + c + 3*c**2 + c - 1. Let p be w(-2). Suppose -5*o = x - 44, -16 = -3*o + 4*x + p. Is 2 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10826154 (base 9) in base 3?\nAnswer: 100220220011211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3.35979 - -209446\nAnswer: 209449.35979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/9*(-1)\/(-10)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i = 11*i + 2*y + 359, 2*y = -i + 117. Let m = 126 - i. What is the highest common factor of 1 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/7, -77759, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 13 = 4*g + 17, -4*g + 14 = 2*l. Solve -w - 5*f = 0, g*w + 4*f + 4 = -2 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.04299 - -0.044. Round s to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + z - 8, -3*j = -j - 2*z. Let y be (-51)\/j + (-18)\/24. Solve -2*v - 10 = 0, -3*c + 34 - y = -5*v for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 42 = 458*u - 460*u, -3*l - 48*u = -162 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10 + (2 - (2 - -4)). List the prime factors of (d\/4)\/(-5*2\/(-380)).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - c + 31 = -m, 2*c = -4*m - 42. Let s = m + 8. Which is greater: s or -6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70)\/(-315)*(-3)\/6.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2026 - -5105?\nAnswer: 10134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2123\/8 - -265. Let o = 0 - -2. Let d be (1 + o*-1)*-1. Does y = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -0*p + 8. Suppose r = h - p + 5, 3*r + 5*h = 35. Solve -2*m + 2*b + 14 = 0, 2*b = -r*m - 2*b - 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -19*d**3 - 495*d**2 + 5*d - 8. Let r(s) = -10*s**3 - 248*s**2 + 3*s - 5. Give 7*r(y) - 4*t(y).\nAnswer: 6*y**3 + 244*y**2 + y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - 17*l - 34. Determine h(-15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-892)\/(-14) + 8\/28. Let r = p + 55. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d + 0*d - d + (d - d + 2*d)*(1 - 6 + 2).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 4)*9 + ((-1039330)\/1041291)\/(1\/(-9))\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-88)\/(-198))\/(40\/(-160))?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 134 - 139. What is the tens digit of (p\/(-2))\/((-9)\/(-1026))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of 10*t**7\/63 - 988*t**6\/45 + 12397*t**5\/15 - 9604*t**4\/9 - 8052*t. Suppose y(o) = 0. What is o?\nAnswer: 0, 4\/5, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddwwdwdwww. What is prob of sequence ddd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 44340683 rounded to the nearest one hundred thousand?\nAnswer: 44300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -5*c + 31, -c - 11 = -4*c - 2*p. Solve -2*a + 10 = 0, a + 10 = -c*s - 0*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 54, 140, 262, 420?\nAnswer: 614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 12:14 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 180\/(-396) + 33\/(-10164)*-96?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 544 a factor of 98424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a century?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + -2 - (-1 + 85\/5). Let h = 92 - k. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22 + 61?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/48100616 and 93\/128.\nAnswer: 769609856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 15*t**2 + t - 3. Calculate x(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*g = -2072 + 182. Let s = 210 - g. List the prime factors of s.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 8:54 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -z**6\/24 + 5*z**3\/6 - 2*z**2 - 4*z. Let x(j) be the first derivative of g(j). Differentiate x(k) wrt k.\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 15 = -110*j + 111*j, -7*f + 21 = 3*j for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 109 (base 11) to base 5\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 144, 4919, 5, 1 in increasing order.\nAnswer: 1, 5, 144, 4919","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(306) + 4*sqrt(306)*-1)*-5)\/(sqrt(12)\/sqrt(6)*1 + (sqrt(2) - sqrt(6)\/sqrt(3))*-2))**2.\nAnswer: 34425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4 - 402*j**3 + 398*j**2 + 402*j - 400.\nAnswer: 2*(j - 200)*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369564976.\nAnswer: 2, 11, 190891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1 - ((-327)\/72 - -3) and 61\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*r + 576 = -1063 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does -2506 = -207894\/83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6538 is divided by 1631?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**3 - 1156*m**2 + 20723584*m + 20305865776 = 0.\nAnswer: -1414, 2539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - i**2 + (-2*i - 2 + 2)*(2 - 2 - i) - 2*i**2 + 1 - 1 + 3*i**2 - 4 + 4 + (7*i - 5*i + 3*i)*(-2*i + 2 - 2).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u\/(u*u**(1\/14))*u))*u)\/((u*u**(-23))\/u) assuming u is positive.\nAnswer: u**(349\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.137 (b) -2\/45 (c) -0.5 (d) -1\/355\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 105819, 105813, 105807?\n\"Answer: -6*l + 105825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**3 - 3410068*v**2 + 3410068*v**2.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - -12) + (-1 + 0 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -187 - -187.0000198. What is h rounded to 6 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 458*v**3 + 36644*v**2 - 2271818*v - 19844 = 0.\nAnswer: -121, -2\/229, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*l*z**3 + 2*l*z - l + 40*z**4 - z**2 - 3*z + 5355 wrt z?\nAnswer: 78*l*z + 480*z**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 1 = 3. Suppose 3*s - 2 = d*s. Let b be (-36)\/(-28) + (-6)\/21. Sort s, b, -4 in decreasing order.\nAnswer: s, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -17.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 430882 and 3496.\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 29*a + 42. Calculate the remainder when v(-32) is divided by (-2)\/(2600\/(-13875) - (-4)\/30).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 7:41 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzizvzzvivvz. What is prob of picking 2 v and 2 z?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pgjp when four letters picked without replacement from {p: 4, g: 3, j: 5}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = l - 3*r, -4*l + 4911*r + 33 = 4908*r for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (-15 + 3 + 1). Calculate the highest common factor of s and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1141 - 196. Let i = 953.38 - y. Let l = i + 0.12. Round l to 0 decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 598710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/sqrt(18)*1.\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of f**5\/60 + 5*f**4\/4 + 19*f**3\/2 - 4466*f**2. Determine i(-28).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54 - 0.43314\nAnswer: -54.43314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -492, -957, -1428, -1911, -2412?\n\"Answer: -p**3 + 3*p**2 - 467*p - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -287, 4768, 9823, 14878, 19933, 24988?\n\"Answer: 5055*m - 5342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 9*h**2 - 2*h - 5. Let r be l(-9). Suppose -y - 4*x = 13, -y - 2*x = x + r. Let b be -3 - y - 0 - 2. Is 9 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-102)\/(-336) - (-21)\/(-49)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**5 - j**5 - 3*j**5 + (-3*j**4 + j**4 + 3*j**4)*(-5*j + 5*j - 2*j) + 4*j**5 - 6*j**5 + 0*j**5 + 12*j**4 + 786*j**5 - 1780*j**5 - 12*j**4 - 3665*j**5.\nAnswer: -4665*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -2 - -3) + (-24 - -12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6811586 to the nearest integer?\nAnswer: 2610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6678 = -17*g - 6089. Let w = -748 - g. Solve -w*a = 18 - 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(108) + 4 + -6*(sqrt(108) + -1*sqrt(108)))**2 + (sqrt(15)\/(sqrt(5) - (sqrt(55)*-4)\/sqrt(11)))**2*4.\nAnswer: -96*sqrt(3) + 11212\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/1 - (-1 + 1). Suppose -16 = -a*u - 3*z + 2, 4 = -2*u + 5*z. Let o(g) be the first derivative of -g**4\/4 + g**3 + 4*g - 10. What is o(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2220380504 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: Collect the terms in 3068*f**2 + 138*f + 2 - 140*f - 642*f**2.\nAnswer: 2426*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*u - 8*u. Let q be -12*(33500\/(-3))\/u. Round q to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 4*a**2 - 123*a + 111*a + 0 = 0. What is a?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9892 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of z**7\/2520 - z**5\/120 + z**4\/36 + 2*z**3\/3 + 4. Let h(p) be the third derivative of r(p). Suppose h(x) = 0. What is x?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -89\/300 - 34\/75. Sort t, -4, -2\/129 in ascending order.\nAnswer: -4, t, -2\/129","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.3308 rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1184050325 or 1184050326?\nAnswer: 1184050326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3036*b**4 - 4*b**3*g - 3*b*g + 16*b + 93*g wrt b.\nAnswer: 36432*b**2 - 24*b*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2329 and 137?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 23*l + 35 - 25*l)*(2 - 6*l + 0 - 3)*(-l**2 + 6*l**2 + 2*l**2).\nAnswer: 84*l**4 - 1960*l**3 - 329*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7338621?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 7*l**2. Let c be u(1). Suppose f = -c + 2. Let q = f - -8. Solve 4*a - q*z - 13 = 0, -5*a + 2*z + 2*z + 17 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 5) to base 4\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -418 + 783. What are the prime factors of q?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/((((-6)\/21)\/((-4)\/(-28)))\/(-2))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4 = 4*l. Suppose -m + 3*y - 5 = 0, l*m - 2*y = -0*m - 18. Let p be m\/(-5) + (-11)\/55. Sort -9, 0, p.\nAnswer: -9, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 12 = z - 0*r, 5*z = -r + 5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.31145 to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 4. Suppose -j*d - d + 6 = 0. Is ((-3)\/(-6))\/(d\/76) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 346 (b) 3\/7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hnnyqh. Give prob of picking 1 y, 1 n, and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 150*n**2 + 51*n + 50*n + 82*n - 187*n. Let r(h) = -11*h. What is l(r(o))?\nAnswer: 18150*o**2 + 44*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0418 + 498.9582. Let y = 76866043.699799 - 76865544.7. Let m = y - u. Round m to 5 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of -34*x**2 - 1\/84*x**7 - 5\/16*x**4 + 1\/16*x**6 + 0 + 1\/24*x**5 + 0*x + 0*x**3. What is m in q(m) = 0?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -218.468 * -8.\nAnswer: 1747.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -39.38743 at least 88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 7. Let d(y) = 1 - 1287*y**2 + y**3 + 1282*y**2 + 7*y - 6. What is d(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013291536 rounded to four dps?\nAnswer: 0.0133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/7))**(-34)\/(f**(1\/6)\/f*f**(-6)\/f*f)*(((f**1*f)\/f)\/f)**(-7\/12)\/(f**(-2\/5)\/f**(-4\/5)) assuming f is positive.\nAnswer: f**(-689\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) -5 (b) -0.34 (c) -86\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*1.55.\nAnswer: -0.465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2491289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + r + 4 - 6 - r**2 to k + p*r**2 + l*r and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (0 - -16) + -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssvv when four letters picked without replacement from vsvvvvvvssv?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1203634238 <= 1203634239?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -799*a + 718 = -797*a. List the prime factors of a.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 187.12 + -195. Let c = 8 + g. Let x = -4.88 - c. What is the third biggest value in -3\/4, x, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((2660\/6)\/(-7))\/((-2)\/6)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4 = 6*i - 3*i, -i + 3*j + 12 = 0. Suppose i*h - 2*h + 538 = 0. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 12) in base 10?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 385685504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 130646\/5 at least 26128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 150*q - 151*q - 11, 1 = h + q. Solve -n = h - 11 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.952 millilitres in litres?\nAnswer: 0.044952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 4:28 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 3126, -515.\nAnswer: -515, 3, 3126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -22*c - 130. Let h(x) = 9*x + 52. Let g(j) = 12*h(j) + 5*i(j). Let u be g(13). Round u to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -691*i + 118*i - 573 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9*(30\/(-9) - -3). Let z be y\/(-15)*5\/12. Which is bigger: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/15 (b) 1\/303 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05 and 0.1451584?\nAnswer: 0.00725792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 614762 to the power of 1\/2, to the nearest integer?\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32 - -332?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*b - 285 = 0, -j + 436 - 149 = -b. Let n = j - 167. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p - 1. Let c(m) = 6*m + 3. Let i(v) = -c(v) - 5*w(v). Let k be i(-8). Let l = 7225 - 7205. Calculate the greatest common factor of l and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*35.6456.\nAnswer: 17.8228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 22671, 45344, 68017, 90690, 113363, 136036?\n\"Answer: 22673*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 536399 is divided by 300.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/4, -2, -2\/5, -0.3 in decreasing order.\nAnswer: -0.3, -2\/5, -5\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 5*u - 9 = 0, 3*s - 506*u = -508*u for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*g = -56*g + 43*g - 519893. What is the thousands digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2022 + 2324. Calculate the highest common factor of 2869 and a.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 178, 356, 654, 1072, 1610, 2268, 3046?\nAnswer: 3944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3904 + 3903.83. Let a = -0.3 - -0.1. Let w = a - 0.8. What is the second biggest value in -0.5, u, w?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 35984, 36392, 36804, 37220, 37640?\n\"Answer: 2*q**2 + 402*q + 35580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 19\/4 of a kilometer?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7509, 15021, 22533, 30045, 37557, 45069?\n\"Answer: 7512*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 0)*(-271 + 95*o + 271)*(2*o - 2*o - o**2) to y + s*o**2 + h*o + m*o**3 and give m.\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of c**5\/60 + 13*c**3\/6 + 6*c**2 + 80*c. Let r(v) be the third derivative of -v**5\/30 - 2*v**2. Determine r(o(j)).\nAnswer: -2*j**4 - 52*j**2 - 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - 31 = -3*w + 47, -3*z = 5*w + z - 58 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 480*x = 478*x + 14240. Suppose t + 5683 = 5*r - r, 0 = 5*r + 2*t - x. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -1. Let f = 3 - v. Which is smaller: f or 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**5 - 35*s**4 + 75*s**3 - 65*s**2 + 20*s.\nAnswer: 5*s*(s - 4)*(s - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 238.2992 millilitres?\nAnswer: 0.2382992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 73*j**2 + 5*j + 5. Let n(m) = 2992*m**2 + 204*m + 204. What is -5*n(d) + 204*r(d)?\nAnswer: -68*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 119 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 440, 858, 1262, 1646, 2004, 2330?\nAnswer: 2618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -66 - -90. Suppose n*r - 15 = 21*r. Solve 2*v + v - g + 13 = 0, -27 = r*v + g for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44369297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 971988192 divided by -75208\nAnswer: -12924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 4653850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.9 - -4. Let l be ((-8)\/(-2862))\/((-2)\/(-213)). Let r = 4\/53 - l. What is the nearest to h in -5, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 776972 and 776973 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 5*g**2 + 5*g. Let w be (-5)\/100*(94 - 94). Let a(l) be the third derivative of 18*l**2 + 0 + 0*l**3 - 1\/60*l**5 + 0*l + w*l**4. Determine a(s(h)).\nAnswer: -25*h**4 - 50*h**3 - 25*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -141, 69, 603, 1623, 3291?\n\"Answer: 27*g**3 + 21*g - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/634680 and 49\/129?\nAnswer: 634680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 0.3 (b) -3 (c) 0.1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 46, 62, 84, 112, 146?\nAnswer: 186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-41))\/(l*l**(5\/2)))\/(l*l**44)**46 assuming l is positive.\nAnswer: l**(-4063\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 50? (a) -4 (b) 0 (c) -23.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-23)\/(-5) + -4)*20. Suppose 5*z - 2*z + j = 0. Let c(h) = -141*h - 11. Is c(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 2*v + 76. Suppose 0 = -v*r + 16*r. Find f, given that 0*f**2 + 0 - 1\/3*f**5 + r*f**4 + 2\/3*f**3 - 1\/3*f = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 190, 20, -150, -320?\n\"Answer: -170*h + 360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -245 + -20?\nAnswer: -305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -29*v + 36. Suppose 17 + 30 = 15*n + 32. What is i(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and -49949.6.\nAnswer: -49949.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 456007, 912013, 1368019?\n\"Answer: 456006*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.35*34.029\nAnswer: -11.91015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/30*-1*9\/6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 966425204*t**4 + 170651*t - 234 wrt t.\nAnswer: 11597102448*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w. Let q(x) = 287*x - 49. Let m(f) = -12*f + 2. Let a(p) = -49*m(p) - 2*q(p). Calculate a(v(g)).\nAnswer: 28*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*u**2 + 139*u**2 + 30*u**2 - 2 + 2 to the form b*u**2 + g + z*u and give b.\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(45\/108)\/(5\/2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 - 145?\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 764 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*o + 459*o = -448*o - 28418 for o.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138665?\nAnswer: 5, 27733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 10*k + 14. Let u be o(-10). Let f = u + -12. Suppose q - 429 = -5*a, -q - 166 = -0*a - f*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25461769429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of 0 - 1\/120*j**4 - 6*j**2 + 0*j**3 + 0*j + 1\/300*j**5. Factor h(a).\nAnswer: a*(a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2844 + 3254*w**2 - 19*w + 2844.\nAnswer: 3254*w**2 - 19*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5693\/17 + -335. Let z = 5.9 + -0.9. Which is the third smallest value? (a) 2 (b) o (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1380 and 11316\/205*(320\/(-12))\/(-4).\nAnswer: 5520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: fbdae (base 16) to base 12\nAnswer: 418ba6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -690 + 1046. Let g = 356 - h. What is the closest to 0 in g, 2\/5, -3, 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343869 is divided by 347.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**1\/o)\/(o\/(o\/o**(2\/9))))**(3\/11) assuming o is positive.\nAnswer: o**(-2\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 237473414 to the nearest integer?\nAnswer: 15410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 53 + -151740?\nAnswer: -151665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/2 and 174\/49*133\/76?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 4*y - 4*y + y for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74843.\nAnswer: 74843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2\/125 of a kilogram?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 93831540*j**6 + 3*j**4 - 2*j**3 - 332721346*j**2 wrt j.\nAnswer: 11259784800*j**3 + 72*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58980 is divided by 19612?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16646\/(-4756)*(-8)\/231?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -139*s*u**3 + 19*s + 17536*u**3 - u with respect to s.\nAnswer: -139*u**3 + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12990 - 12981 + 38938 + 4*y**2 - 12967.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -w**4\/12 - w**3 - 5*w**2\/2 - 3*w. Let p be k(-4). Solve 3*n = -r - 2*n + 23, 0 = -4*r - p*n + 7 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*y = -117 - 403. Solve -9*v = -14*v + y for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 30826737 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13453002*l**3 + 18*l**2 + 2*l + 82446.\nAnswer: -80718012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14 + 9098?\nAnswer: 9084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 674 * -36.\nAnswer: -24264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -10*j + 6 + 0*j + 15*j - 2*j - j**3 + 13*j**2. What is the tens digit of k(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tm when two letters picked without replacement from {w: 1, g: 5, t: 2, m: 1, e: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -1276238*n**2. Let q(t) = 3*t**2. Determine f(q(i)).\nAnswer: -11486142*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a meter in centimeters?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -6 + 60*c**2 - 59*c**2 + 19 + 10*c. Determine z(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 1\/2 (b) 3\/5 (c) 2 (d) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 0.002. Let w = 3405\/2 - 1702. Put x, w, -2\/3 in descending order.\nAnswer: w, x, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.09461 + -0.00539. What is the nearest to 0 in 4, 118, 2\/9, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -972, -1184, -1508, -1944, -2492, -3152, -3924?\nAnswer: -4808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/322056 and -113\/3976.\nAnswer: 322056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30.5 + 31. What is the nearest to -1 in 0.4, 1\/24, p?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -61.573 + -13.723. Let x = 75 + y. What is x rounded to two decimal places?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209474922.\nAnswer: 2, 3, 233, 149839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-77)\/(-44)*(-112)\/(-49)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -79.2 - -79. Let f = -34.9 + 31.9. Which is the nearest to -14? (a) r (b) 0 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 510 divide 101784780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b + 19. Let g(m) = -2*m - 10. Let j(n) = n**3 + 9*n**2 + 15*n - 4. Let q be j(-2). Give q*v(a) - 11*g(a).\nAnswer: -2*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 558\/(-124)*(0 - (-14)\/(-3)). Calculate the greatest common divisor of 42 and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12162067 or -12162066?\nAnswer: -12162066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 452462163?\nAnswer: 6334470282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(65)*-2)\/((sqrt(640)*-6 + sqrt(40))\/sqrt(8)).\nAnswer: 20*sqrt(13)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 3 - 18. Suppose f*v + 20 = 0, -5*n - 6*v + 2*v - 16 = 0. Let c(r) = 5*r**2 + 2*r + 1. Let y be c(-1). Solve -y*s - 20 + 4 = n for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -31312*c**3 + 304*c**2. Let m(j) = 310*j**3 - 3*j**2. Determine 3*a(z) + 304*m(z).\nAnswer: 304*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, r: 4, j: 4}. What is prob of sequence jaa?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a microgram in nanograms?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 55, 8, -2\/9 in decreasing order.\nAnswer: 55, 8, -2\/9, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1788358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5.82*0.1\nAnswer: -0.582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -283693, -567399, -851117, -1134853, -1418613, -1702403, -1986229?\nAnswer: -2270097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 - 43. What is the least common multiple of 60 and (h\/(-7))\/(-3) + 3048\/84?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -409259?\nAnswer: 409257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -3*p - 20, p = 2*p + 3*j - 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/((-6)\/3*1). Suppose 0 = -i*t - 20, -8 = w + w + 2*t. Let b be 3 - (-2 + w - 3). Solve 0 = -3*h - 5*y - b + 31, 0 = -h - 3*y + 13 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -48*(4 - 464\/24). Let p = b - 718. Which is greater: 14 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 8*f**2 - 202. Let x(s) = -13*s**2 - 27. Calculate l(x(d)).\nAnswer: 1352*d**4 + 5616*d**2 + 5630","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 32\/3, 3, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*j**3 - 2*j**3 - 4*j**3 + 36*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 25399, 50782, 76163, 101542, 126919?\n\"Answer: -w**2 + 25386*w + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 562 - 558. Suppose q = 1 + g, 2*o - q - 19 = 0. What is the remainder when 28 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 7*w**3 - 5*w**2 + 275*w - 1127. Determine h(4).\nAnswer: 341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 v when two letters picked without replacement from cvruucvycbu?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(7\/2)*z*z**5*z*z)\/((z\/(z**(-2\/5)*z))\/z)**8 assuming z is positive.\nAnswer: z**(163\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7311581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14272.9 + -14273. Which is the fourth biggest value? (a) -0.4 (b) 3 (c) -275 (d) x (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 961522.\nAnswer: 2, 480761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -13*j**2. Let r(q) = -2*q - 2. Let u(g) = -g**2 + 3*g + 3. Let z(l) = 3*r(l) + 2*u(l). What is z(o(y))?\nAnswer: -338*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*y + 17*y = 85*y - 1200 for y.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 7*u**6\/6 + u**5\/5 + 3*u**2 + 10*u - 290. Find the second derivative of f(l) wrt l.\nAnswer: 140*l**3 + 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4795378123?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a kilometer in centimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22063 = 198*t - 1488*t + 6365 + 50262 for t.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 12:51 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b1 (base 14) in base 7?\nAnswer: 1411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 9*p**2 - 9*p - 7. Let g be z(-8). Let a be 0\/(-2)*(0 - g). Which is greater: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.07 + -0.57. Which is the closest to 1\/4? (a) o (b) -2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/20*2)\/((-2)\/14)*60492\/1491\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/3 - 26\/(-6). Does 1 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a + 13. Let o be p(11). Suppose 6*y - 96 = -o*y. Calculate the least common multiple of 7 and y.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -4 (b) -2\/11 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16309259*b**3*v**2 - 35*b**2*v**2 - 100*b**2*v + 9*b**2 - b*v**2 - 5*v wrt b.\nAnswer: -97855554*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 735 - l - 735 + 51*l**3 - 4*l**3 to the form d*l**2 + s*l + m + p*l**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2. Let d(f) = 549 - 16 - 2*f - 60 + 5*f. What is n(d(x))?\nAnswer: -9*x**2 - 2838*x - 223729","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from ggggggggggggggggqg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79534, 79527, 79518, 79507, 79494, 79479?\nAnswer: 79462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -5) + (-54)\/(-24)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000669 rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1700 and 325?\nAnswer: 22100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, e: 9, a: 6, r: 2}. Give prob of picking 1 e and 2 r.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a second in milliseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1430)\/(-72) - 1*2\/18 and ((-2)\/16)\/(63\/1458).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9c87c19c - -2?\nAnswer: 9c87c1a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14844321 to the nearest integer?\nAnswer: 3853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**4\/7 + 183*b**3\/7 - 87*b**2 - 4359*b\/7 + 684 = 0 for b.\nAnswer: -4, 1, 7, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllllllllltl. What is prob of picking 1 t and 1 l?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 956 divided by 4\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**4\/3 - 8*g**3 - 30*g**2 - 36*g.\nAnswer: -2*g*(g + 3)**2*(g + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -4*x**5\/3 + 11*x**4 + 19*x**3\/3 - 66*x**2 - 48*x = 0.\nAnswer: -2, -3\/4, 0, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1256 = 4*f + 1280 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 696 and 649716.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 308b5 - -9?\nAnswer: 308c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 + -119. Let r = d - -69. What is the nearest to -1 in 5, 2\/5, r?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/7*r**4 + 0 + 24*r**3 + 0*r + 165\/7*r**2.\nAnswer: 3*r**2*(r + 1)*(r + 55)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**2 - 1752 + 0*g**2 - g**3.\nAnswer: -g**3 - 1752","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7784 = -8*d + 19520. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 396133 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 10*u - 6*u - 10*u. Let w(l) = -35*l**2. Determine w(g(a)).\nAnswer: -1260*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3 = 2*l - 5*v, 5*l = -2*v - 7. Let s(j) = 27*j**2 + 2*j + 1. What is s(l)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence au when two letters picked without replacement from {y: 3, q: 6, u: 5, a: 2, s: 1}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-6)\/48))\/(6\/36*2).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8059113 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 9. Let q = m - -13. Suppose 4*d = 20, -q*d + 16 = -0*r - 3*r. Solve x + r = 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.2, -3, 0.2, 0.3, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2832 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11549 (base 10) to base 13.\nAnswer: -5345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-16)\/c)\/c*c*c*c*c)\/c*c)\/(c\/c**18) assuming c is positive.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of x**3\/6 - x**2\/2 + 17*x + 17. Let y(s) be the first derivative of d(s). Determine y(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 41097163, 82194327, 123291491, 164388655, 205485819?\n\"Answer: 41097164*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 5:04 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 75 - 72. Let s be (r + (-16 - -2))\/(-1 + 0). Let p = 3 - 2. What is the greatest common divisor of s and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(170)\/(sqrt(10)*-3)*-2 - (5 + sqrt(102)\/(sqrt(6) - sqrt(96)*-1)))**2.\nAnswer: 46*sqrt(17)\/3 + 14618\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 68929.3?\nAnswer: 68929.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9716, 9717, 9718, 9719, 9720?\n\"Answer: l + 9715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 26.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 16 = -t + 5*b, 0 = 5*t + 2*b - 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccaaaacccecaaaeachcc. What is prob of picking 2 e?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 268581 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/16*-5)\/(1\/(-2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -1702701 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.099 + -1.219. Let y = o + 1.12. Which is the nearest to -6? (a) 3 (b) 0.3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 74, -1\/33, 4, -1\/5, -4, -2\/11?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 5) in base 14?\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-2)*(-9 + (-70)\/(-10)). Sort 258, d, 1.\nAnswer: 1, d, 258","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k - 5*k + 4*k + k + 0*k + k - 13*k + 33*k - 4*k + (3 - 6 + 1)*(0*k - k - k).\nAnswer: 24*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + x - 176 = -178, 2*i - 5*x = -11 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 7 + 76\/(-14). Suppose g + f = -3 - 5, f + 20 = -4*g. Let u be ((-5)\/(-5))\/(2\/(-4)). What is the biggest value in u, z, g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1b0e3d8 - 4?\nAnswer: 1b0e3d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 79916381 to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -u + 12. Let j = -6190.3 + 6194.3. Which is the nearest to -1? (a) j (b) -2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16166 divided by 2340\nAnswer: -8083\/1170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -232, -234, -236, -238, -240, -242?\nAnswer: -244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 55.81474 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 91 - 82.7. Let u = -8 + t. Let d = 43.5 - 43. Which is the closest to -1? (a) 0.2 (b) d (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-15))\/((3\/(-2))\/((-1530)\/51)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68005026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 1222301?\nAnswer: -1222302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1857 - -1900. Solve -21*v - y = 20 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 n when three letters picked without replacement from nnnnnnhhnhh.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1427413 - 88?\nAnswer: -1427512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13090554 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 46094024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.02104979 and 134267.\nAnswer: 134267.02104979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03 and 12.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 323, 284, 149, -130, -601, -1312, -2311, -3646?\nAnswer: -5365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 5)*(6 + -7). Which is the third smallest value? (a) -55 (b) -5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 3*h**2 + 3*h + 2. Let q(n) = -n**3 - n**2 + 1. Let w(a) = l(a) - 2*q(a). Let v be w(-4). Solve -22 + 2 = -z - 3*u, -v*u = -z - 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -5. Suppose 0 = 3*c + c + 8. Let n = 6 + c. Let z(x) = 2*x**3 - 3*x**2 + 3*x + 3. Let v(g) = 3*g**3 - 4*g**2 + 4*g + 4. What is f*v(p) + n*z(p)?\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 917415 divided by 61161\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (4 - (-6 + (4 - -2))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 1037*u**2 + 5*u + 0*u + 1 - 3*u.\nAnswer: 1037*u**2 + 2*u + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.12378 decades to months.\nAnswer: 2894.8536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3947 + 4800.1. Let q = 796 - n. Let d = q + 57. What is the nearest to -7 in d, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -480376983\/4 or -120094247?\nAnswer: -120094247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + (-49 - (14 - 35))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -697*b - 1549*b - 1786*b + 826*b in the form l*b + x and give l.\nAnswer: -3206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(48\/(-9 - -7) - -10).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - k + 333 = 0. Calculate the remainder when k is divided by 1*(-15)\/(-5) + 7\/98*14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11398367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -306 + 2839. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1289458 + 2765887154\/2145. Let c = -2\/143 + w. Let l be 3\/12 - (-1)\/(-4). What is the second smallest value in -5, l, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**2*w + 6*h**2*y - 10722898*h**2 + h*w*y - 52*h*w - 2*h*y + 17*h + 2*w*y - 7*w + 10*y wrt h?\nAnswer: 4*w + 12*y - 21445796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/11 in -5, -0.1, -2\/9, 0?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 612839309.\nAnswer: 6827, 89767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 28\/6 + 3\/9. Let n be 92\/p + 12\/(-30). Let a be (-7740002)\/9 + 4\/n. Round a to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*w**6 + 285*w**4 + 5291*w**2 + 2*w wrt w?\nAnswer: -720*w**3 + 6840*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) -6\/7 (b) 4 (c) -7188\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 52 (base 7) to base 11\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2 = 2*n, 0*s - 2*s - 3*n = 23. Which is the second smallest value? (a) s (b) -1\/2 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**5 - f**4 - 15*f**3 + 9*f**2 + 54*f.\nAnswer: f*(f - 3)**2*(f + 2)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/300 + (-2)\/10?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**3 + 15*n**3 + 31*n**3 - n**3 - 9*n**3.\nAnswer: 38*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 9 + 2)*(-3 - 1 + 6)*(b + 3*b - 6*b)*(-3 + 3 - b).\nAnswer: 28*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14641 - 7851. Suppose 0 = 2*x - w + 2426. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*i + 23*i = 1762 - 761 + 2489 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8168164 is divided by 429.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from sosvooovossoso.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -78575 by -1979.\nAnswer: 78575\/1979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -s - 4*v - 21, 0 = -2*s - 3*v - 22. Let g(o) = -o**2 - 6*o - 1. Let j be g(s). Let y be 2 + (-4)\/1 - -5. Solve y = -4*z + 23, -n + j*z = 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -405*c - 10 = -400*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -841.246 + 842. Round c to two dps.\nAnswer: 0.75","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 + 1186273*n**2 + 3855348*n + 889695.\nAnswer: (n + 3)*(n + 296565)*(4*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 913 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 19. What is the smallest common multiple of (9 - 8) + 4 + j and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by 48?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*x**2 - 5*x**2 - x**2)*(11 - 11 + 7*x) + 0*x**3 + 0*x**3 + 6*x**3 to g + d*x + m*x**3 + z*x**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 3*w - 2*w)*(3 - 3 + w**3)*(w + 1 - 1).\nAnswer: -2*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**28*q*q**22*q)\/((q\/(q\/(q*q**(-4\/3)\/q)*q))\/q)**(5\/14) assuming q is positive.\nAnswer: q**(1117\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v - 7. Let a(t) = 4 + 3 + 6 + 5*t - 5. Give -5*a(i) - 6*b(i).\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - j - 2 = 7, -5*j = 0. Suppose y*z - 339 - 129 = 0. Let i be (-2)\/3 - (-80)\/z. Which is the nearest to 0.3? (a) -2\/15 (b) -5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -3 (c) -2\/7 (d) 3 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*h - 32 = 0. Let c = 13 - h. Let g be 0 - ((-16)\/2)\/2. Solve c*x = g*x - 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.02262 and 3.\nAnswer: 3.02262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - 2) + 59 + -60 + 3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2984*x = 4472*x + 1488 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 10*x = -15. Factor 36*z**x - 2 + 2 - 6*z**2 + 6*z**4 - 4*z + 2*z**5 - 34*z**3.\nAnswer: 2*z*(z - 1)*(z + 1)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 251 - 169. Let z = v - -81. Calculate the remainder when z is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*h + 2*h + 19 = 0, -5*f + 40 = -5*h. Is 8\/(-12)*-120 + f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -330 divided by 15?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -14. Let s(t) = t. Let j be s(5). Solve -8*u + 2*b = -3*u + 3, o = -5*u - j*b + 25 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 432220?\nAnswer: 432220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4434469046+38\nAnswer: -4434469008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 23a - -1?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51232 (base 6) to base 4.\nAnswer: 1222010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1206 + 88 + 661 + (-1 + 0 - 1)*(1 + 2 - 4))*(-2*s - 7*s + 2*s) as u*s + g and give u.\nAnswer: -13699","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(275)*2.\nAnswer: 2 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of (2 - 59)*16\/(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 r, and 1 y when four letters picked without replacement from {r: 4, a: 1, y: 4, u: 2, d: 5, i: 4}.\nAnswer: 32\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 9:07 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 854 is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 77 = 133. Suppose 4*k + 3*u - 139 = 0, 3*k + 5*u = h + 48. List the prime factors of k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 609401759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 13) to base 3.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z - 9*z - z**2 + 9*z + 2*z + 22 + 7*z. Give r(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*j - 13, -2*j - 4*o = o - 15. Let b = -6 + 11. Suppose -19 = 4*u - y - 81, j*y + 85 = b*u. What is the remainder when u is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/24375 and 16\/362375?\nAnswer: 5435625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -54.2? (a) -1\/12 (b) 0 (c) 0.07 (d) -0.4 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/7 + 6422*y\/7 + 14752.\nAnswer: -2*(y - 3227)*(y + 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 3:42 AM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -22*i**2 + 40*i - 141. Calculate h(8).\nAnswer: -1229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 314743 and 736164?\nAnswer: 1620296964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276 = o + s, 0 = 2*s - 4*s + 8. Let a = o - -395. What are the prime factors of a?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200334 a multiple of 386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(3) + sqrt(432)))**2 + 5 - (sqrt(288)\/sqrt(6) - (sqrt(3) - (sqrt(108) + -2))).\nAnswer: -9*sqrt(3) + 2035","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 8)*(-1 - (-21)\/15). Let n be 1\/t + (-8)\/16*-191. Calculate the highest common factor of 32 and n.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-204)*2*6. Let n = 2.3 - 2.2. Let m = 0.2 + n. What is the closest to 0.2 in r, -0.3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**5 + 261*n**4 - 9945*n**3 + 17475*n**2 + 48582*n - 56376 = 0 for n.\nAnswer: -116, -2, 1, 3, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 822301 and 36499.\nAnswer: 2147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06624523 to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -16. Let g be 201\/39 + 8\/(-52). Suppose -2*y - w + 16 = 4*w, g*y - 11 = 2*w. Sort 0, l, y in decreasing order.\nAnswer: y, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -3 - (-3307 - (-18 + 6)) is divided by 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-132) + 175460\/(-37356).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 602 - -138. Let c = l + -243. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*-8*(-72)\/(-144)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -5*d**5 - 2900*d**4 - 230940*d**3 - 6203770*d**2 - 45393775*d + 198486750 = 0.\nAnswer: -491, -35, -22, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.848 + -231741087?\nAnswer: -231741087.848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179724863.\nAnswer: 6043, 29741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 90\/(-6) - -6411 - -7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 56 = 9362*k - 9364*k, -5*k + 4*k - 13 = 8*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 21*x + 26. Let y be u(-21). Calculate the highest common factor of y and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l. Let n(q) be the first derivative of -q**4\/4 - 72*q**2 + 38. Let w(x) be the second derivative of n(x). Calculate w(h(j)).\nAnswer: -18*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, j: 2}. What is prob of picking 2 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6794, 6799, 6804, 6809, 6814, 6819?\n\"Answer: 5*j + 6789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65468 is divided by 1587?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzcc when four letters picked without replacement from cccccczzcccccccccccz.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 746 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 41321 (base 6) in base 16?\nAnswer: 1591","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 5*v**2 - 3. Let f(w) = -w**3 + 8*w**2 + 7*w + 22. Let t be f(9). Calculate b(t).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 3:38 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1029 + 1093 + (-524)\/4\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126593.\nAnswer: 71, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4431 = 23*m - 11508. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*t**4 - 3*t**2 + 3 wrt t?\nAnswer: -168*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 13*f**2 - 6*f + 11. Let b be a(-13). Let n = b + -78. Calculate the remainder when 58 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -1. Let x = 0.4 - -3.6. Which is the closest to i? (a) 0.5 (b) 0 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1210 - -415. Let k = -890 + p. List the prime factors of k.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0, 73\/4, -4084?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/5, -470, -54?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -207, -414, -617, -816, -1011, -1202?\n\"Answer: 2*q**2 - 213*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -25574084.5 to the nearest one thousand.\nAnswer: -25574000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -49*c**2 - 10 - 33*c**2 + 127*c**2 - c**3 - 36*c**2 - 7*c. Give b(7).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14\/215 - -22\/13545. Is 1 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**2 + 89*y - 126. Calculate w(-16).\nAnswer: -1038","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -237 and -33453127076.\nAnswer: -33453127313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2564, -2565, -2566, -2567, -2568?\nAnswer: -2569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/6*p**2 - 187\/6*p.\nAnswer: -p*(p + 187)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 173 - 169. Suppose -3*z + 21 = m*z. Calculate the greatest common divisor of 12 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i - 6*i - 55 = 0. Let m = 3 - 8. Put i, m, -6 in decreasing order.\nAnswer: i, m, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 128\/(-8)*3\/4. Let x = 16 + m. What is the lowest common multiple of (3\/(-3))\/((-1)\/5) and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from sssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 20373, 35871, 51369, 66867?\n\"Answer: 15498*b + 4875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -12*l + 13. What is g(-3)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s\/(s**(-3)\/s))\/s)\/(s*s*s*s**(-5\/4)))\/((s\/(s\/(s*s**(3\/5)\/s*s)*s))\/s**(-4)) assuming s is positive.\nAnswer: s**(-27\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b - 3. Give k(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + (-12)\/4 + 20 + 65. What is the highest common factor of d and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 51. Let w = d + 36. Suppose w = p - 0. Solve b = p + 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*j**2 - 34*j**3 - 100*j**2 - 75*j**3 - 69*j**3.\nAnswer: -178*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one quarters of a meter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 58118263?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 5*a + 0*a + 20 = 0, -4*a + 16 = 0. Let h(g) = r - 2*g + 5 - 3. What are the prime factors of h(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**2 - 20*p + 3744 = 0.\nAnswer: -72, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89928183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 1746\/557?\nAnswer: 1746\/557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1355 - 0.1855. Sort 10, -2, f in decreasing order.\nAnswer: 10, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 + 0 + 0)*(-p + 4 - 4)*(-3*p - 4*p + 5*p).\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 8*x**2 - 6*x + 5. Let r be v(-7). Let u be 5\/3*(-6)\/r. Suppose 17 = 2*w + u*c, -3 = -4*c + 5*c. Solve 0*a - w = -4*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23543669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2 + d. Suppose 18*j - 7*j + 15 = -7. Let u(z) = -2*z**2 - 2*z - 1. Let h = -7 - -4. Give h*g(r) + j*u(r).\nAnswer: -2*r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 8*b**2 + b + 8. Let x be t(8). Let c(g) = 3*g + 78. What is the units digit of c(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2. Let h(c) be the first derivative of -13*c**3\/6 + 13*c + 8. Let q(j) be the first derivative of h(j). What is r(q(b))?\nAnswer: 338*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-54)\/15 + ((-29)\/10)\/((-4641)\/884)\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1975260143 to the nearest integer?\nAnswer: 1255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/20*(-30)\/(-45)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1519 - 809. Let x = c + 83. Let y = x - 476. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 39, 5, -1, 4, -174, 28 in increasing order.\nAnswer: -174, -7, -1, 4, 5, 28, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 4\/27 in decreasing order.\nAnswer: 4\/27, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 114883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 70*y - 85. Suppose -3*j - 58 = -4*b + 144, j = -5*b + 262. Let t = b - 58. Let z(v) = 5*v - 6. Determine t*u(o) + 85*z(o).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -98 (base 10) to base 16\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**2 - 6555*d - 19638 = 0.\nAnswer: -2182, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*p - 118 = -122 + 133 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1116, 2003, 2752, 3369, 3860?\nAnswer: 4231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/15)\/(19\/95)*(-3)\/(-3).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 91*d + 328. Let b be v(-4). Calculate the lowest common multiple of 5 and 8\/b*-138*3.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m**3 - 2*m**2 - 58*m + 9. Let d(g) = 2*g**3 + 5. Give -2*d(a) + x(a).\nAnswer: -a**3 - 2*a**2 - 58*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 1101*a**2 + 223470*a - 6693. Give o(-203).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -100*h + 99*h + 2*r + 15408, -138672 = -9*h - 3*r. Is h a multiple of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10296 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1187, -1174, -1137, -1064, -943, -762, -509, -172?\n\"Answer: 2*q**3 - q - 1188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, g: 8, v: 1}. What is prob of sequence vhh?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 1. Suppose 2*z + 0 + u = -2*k, 0 = -4*z + 4*k - 32. Let h(p) = p**3 + 5*p**2 - p - 1. What is the units digit of h(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003056914764 to four decimal places.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w + 0*w + w - 45*w.\nAnswer: -48*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 12:36 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-24)*9\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32087 + 33487. Is 2 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 712 is divided by 148?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*l + 6948 = -126*l - 68*l + 57*l for l.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -39\/20?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 67 = -0. Suppose -108*x + 112*x - 96 = 0. Calculate the remainder when h is divided by x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5218, -10444, -15670, -20896, -26122, -31348?\nAnswer: -36574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 8:53 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*o**4 + 84*o**2*p + 35*o**2 - o*w + 1804*p*w + p + 2*w wrt o?\nAnswer: -12*o**3 + 168*o*p + 70*o - w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 5*f - 45. Suppose 4*x + 19 = 5*q - 0*x, 5*x = -2*q + 34. Calculate the highest common divisor of f and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.66 - 1.16. What is the closest to 0.1 in -4, 0, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + 9)\/(1\/4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*(4 + (sqrt(88)*2*2)\/(sqrt(200)*-2)) + 0)**2.\nAnswer: -24*sqrt(11)\/5 + 944\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 8 - 37 = 0. Let h(g) = g**2 - 10*g + 11. Let k be h(f). Let n(b) = 31*b - k*b**2 - 31*b. Let i(l) = 10*l. What is n(i(d))?\nAnswer: -200*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*1*-1 - (sqrt(77) - -2*sqrt(77)*-1))\/(3*sqrt(112) + -5*(sqrt(7) - (sqrt(7) - sqrt(112)))) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -986767 less than -703042?\nAnswer: 283725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -14. What is the remainder when 3 is divided by w - (-3 - 3\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -4*m**3 + 384*m**2 - 7956*m - 62424 = 0.\nAnswer: -6, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -15*r - 7. Let x(j) = -51*j + 103 - 51*j - 99 + 110*j. Give 3*b(v) + 5*x(v).\nAnswer: -5*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**2 + 4*g**2 + 3*g**5 + (0*g**4 + 6*g**4 + 0*g**4)*(0*g + 2*g - 3*g).\nAnswer: -3*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m - 35 = -67 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.780723 micrograms in kilograms?\nAnswer: 0.000000002780723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 91 and -11.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -31114908931 + -0.04\nAnswer: -31114908931.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -9 - (7 + 5 + -9 + 6)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 + 3*b - 1. Give j(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/28518 and -53\/10864.\nAnswer: 228144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/2, 4, -35?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12504?\nAnswer: 2, 3, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -78, 2, -0.5, 2.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of k**5\/20 + 13*k**4\/12 + k**3 + 6*k**2 - k - 3. Is 24 a factor of a(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = -7*x + 18*x. Solve 3*j - 14 + x = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 28*u**2 + 351*u + 1746. What is the remainder when q(-5) is divided by 78?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 13882.\nAnswer: -13882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 w when two letters picked without replacement from kwd.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**4\/7 + 9640*r**3\/7 + 4174700*r**2\/7 - 17934015000*r\/7 + 6921990281250\/7 = 0. Calculate r.\nAnswer: -3025, 615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 + -28 - ((2 - -1) + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21*t + 21*t - 18*t**3)*((-1 + 0 + 3)*(2*t + 0*t + 0*t) - 1 - t + 1) to w*t**2 + s*t**3 + v*t + o + m*t**4 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 3*k - 19499 + 19496, -4*c - 32 = 3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -15. Let h(b) = 4*b**3 - 68*b**2 + 73*b - 148. Let r be h(16). Put 0, 4, v, r in decreasing order.\nAnswer: 4, 0, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14\/43 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = -34 - 66. Is (3585\/b)\/(6\/(-68)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -551274 divided by 6.\nAnswer: -91879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 - -37. Let l*m - 4*m + 2 + m - m - m**2 = 0. Calculate m.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -421c2 + 4?\nAnswer: -421bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**4 + 4*u**4 + 6 - 1 - u**4 - u + u + (-4*u**2 - u**2 + 4*u**2)*(4*u**2 + 0*u**2 - 2*u**2) + u**4 + u**4 - 3*u**4.\nAnswer: -3*u**4 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 63*s**3 - 17*s + 17. Let w(u) be the first derivative of -21*u**4\/4 + 3*u**2 - 6*u + 1497. What is -6*p(z) - 17*w(z)?\nAnswer: -21*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - -1)*2\/2. Let q be 6\/p*1 - -31. Suppose 4*m + 12 = 4*r + q, 5*r - 10 = -m. Is 2 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90 and 2933365?\nAnswer: 52800570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 0 + 1)*(6*o**2 - 2*o**2 + o**2) + 0*o**2 + 0*o**2 + o**2)*(2*o - 11*o - 14*o) as c*o**3 + k + a*o + r*o**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 7, -248 in ascending order.\nAnswer: -248, 7, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -a215 (base 12) in base 13?\nAnswer: -8009","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 571259 - 571259 + 9*m**3.\nAnswer: 9*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -183*m - 97. Let u(w) = 187*w + 116. Calculate -6*r(l) - 5*u(l).\nAnswer: 163*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -145 + 153 + -1 + -16?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -117, -223, -329?\nAnswer: -435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -b + 34250, -5*q + 3*b = -0*b - 42821. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-3)*60\/8*-1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 5722948\/952 + -7*(-1)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*k - 4*k + 980. Let a = 99 + k. What is the highest common divisor of 70 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vh when two letters picked without replacement from {w: 2, v: 7, h: 2}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4407 + -4 + 24\/2. Let h(u) = -u**2 + 4. Let r be h(0). Suppose -r*o + 6021 = -b. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 1 + 16751*z - 16778*z + 6 - 1.\nAnswer: -27*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -44*u + 5. Let f(l) = -14 + 6 + 198*l - 14. Let p(z) = 5*f(z) + 22*y(z). Let g(c) = 2*c**2. Calculate p(g(m)).\nAnswer: 44*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at least as big as 34112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 3. Let v be r(0). What is the second derivative of -2*a + 2*a**2 - 5*a**v - 2*a**2 - a**3 wrt a?\nAnswer: -36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wqqb when four letters picked without replacement from qbqqqqbbqbqqw?\nAnswer: 28\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -395 = -54*z - 1259 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 4:02 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 190.682 to 0 dps.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + k + 0*k)*(2 - 29 + 3)*(3 + 1 - 1)*(25*k**2 - 10*k**2 + 4*k**2).\nAnswer: 2736*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 132103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4294.\nAnswer: 2, 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159779?\nAnswer: 159779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 20*d**2 - 55*d - 68. Give h(-17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 140 - 148. Find the common denominator of -59\/10 and 1177\/428*1\/(14\/m).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(2816) - sqrt(2816))*-5)\/(sqrt(16)\/(sqrt(144) + sqrt(144)*-2 + sqrt(144) - sqrt(144))).\nAnswer: 240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u**3 + 2*u**2 - 2*u + 3. Let y(m) = 8*m**3 + 7*m**2 - 7*m + 10. Calculate 14*t(d) - 4*y(d).\nAnswer: 10*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 2. Suppose h + 5*u = 41, 10*h = j*h - 2*u + 228. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tm when two letters picked without replacement from {k: 2, t: 1, m: 5, o: 3, h: 8}.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6184075 + 6?\nAnswer: -6184068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i**2 - 7*i - 10. Let h = -18 + 12. Let b(g) = g**2 + 2*g + 3. Let r(p) = h*u(p) - 17*b(p). Calculate r(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -394064.3411 - 0.3752\nAnswer: -394064.7163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -1. Let d = -4664 - -23666\/5. Let q = 69 - d. Which is the biggest value? (a) 2\/15 (b) h (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-5 + 87\/17). Let i(o) = -10*o + 170. Let y be i(u). What is the closest to -10 in -2, y, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 5, 2\/153, 0, 1.22.\nAnswer: -2\/9, 0, 2\/153, 1.22, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a minute in seconds?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-2 + 1)*-84. Suppose -2*v = -g - 123, 0 = -5*v - 2*g + a + 201. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 - 5 + (2 + 0 - 3)*(-2 - 2 + 3))*(10*c**2 - 56*c + 56*c).\nAnswer: 30*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-1*sqrt(162)*1 - -6*-2*sqrt(162)) + (sqrt(162) + sqrt(162)*1*5)*-6)**2 + 2.\nAnswer: -3528*sqrt(2) + 388980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3985029 and 684?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 = 21*b - 57 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -291, -333, -375, -417, -459, -501?\n\"Answer: -42*z - 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8677.\nAnswer: 8677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 u when four letters picked without replacement from {u: 5, d: 1, s: 5, t: 1}.\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -94 + 98. Suppose -o + 69 = 5*y, 16 = y + 2*o - x*o. Calculate the greatest common divisor of y and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36666 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**5*s - 11*a**5 - 5*a**2*s + 711*a*s - 2*a wrt a.\nAnswer: 40*a**3*s - 220*a**3 - 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -414 and -78205.\nAnswer: 32376870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2055435350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2037691 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*b + b**2 - b**2 + 4985 - 4984 + 2*b**3 in the form i*b**2 + t + u*b**3 + h*b and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/1335 and 65\/6408.\nAnswer: 32040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91826249.\nAnswer: 677, 135637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11101 + 2?\nAnswer: 11103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 7*p - 8. Suppose g = -2*c + 7*c + 19, -2*g + p*c + 14 = 0. Let a be (-2)\/(-7) + g\/(-14). Sort -5, -1, a in decreasing order.\nAnswer: a, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90189108 to the power of 1\/2, to the nearest integer?\nAnswer: 9497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zshn when four letters picked without replacement from {g: 2, h: 2, n: 1, z: 2, o: 4, s: 1}?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -8*y - 6. Let k(f) = -f. What is h(l) - 4*k(l)?\nAnswer: -4*l - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 58, -118, -2 in decreasing order.\nAnswer: 58, 2\/5, -2, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/5 - 8*u\/5.\nAnswer: 2*u*(u - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 2*f - 894, -3*r - 4*f - f + 555 = 0. Let v = r - 127. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v = 3*v + 4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 9*a + 152*a + 0 + 6 + 5 to x*a + m and give x.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*l + 20 - 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**2. Let z be h(-1). Let i be ((-3)\/z)\/(9\/12). Suppose -i = -b + 10. Solve -3*x - 3 = -b for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 7*k**2 - 13*k + 136. Determine z(11).\nAnswer: 840","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 74992060 and 107822.\nAnswer: 3718","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7798, -15599, -23400?\nAnswer: -31201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 263 + -134. What are the prime factors of z?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -24460*p - 564. Let t(o) = 6115*o + 157. Let k(q) = 23*t(q) + 6*y(q). Differentiate k(w) wrt w.\nAnswer: -6115","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 3:47 PM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 706 - 695. Suppose -4*i - 4 = 7*t - v*t, -2*i = 4*t - 22. Solve -2 = -f + 4*f + t*m, f = 3*m + 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -5.6. Let z = k - 0.1. What is the second biggest value in 0.4, -2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -60609, -60616, -60637, -60678, -60745?\n\"Answer: -j**3 - j**2 + 3*j - 60610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2154353*200\nAnswer: 430870600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -233.206424 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 15*x**2 + 2172969*x\/7 - 124170\/7 = 0.\nAnswer: -20695, 2\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2770468832.\nAnswer: 2, 29, 37, 80687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -11, -0.2, -1, -4 in increasing order.\nAnswer: -11, -4, -1, -0.2, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2 + 3*t - 234. Calculate the remainder when 23 is divided by i(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 142, 249, 408, 625, 906, 1257?\nAnswer: 1684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 124201415 less than 198898?\nAnswer: -124002517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 331333, 331309, 331237, 331093, 330853, 330493, 329989, 329317?\nAnswer: 328453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*b**2 + 3*b**2 - 5*b**2)*(0*b + 6*b - b + 3 - 3 - b + (-1 - 3 + 3)*(b - 1 + 1)) + 3*b**3 - b**3 - b**3.\nAnswer: 16*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-120)\/(-45))\/(243 + -199)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 1, 2.5, -0.3, -4\/5, 3 in decreasing order.\nAnswer: 3, 2.5, 1, -0.3, -4\/5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 0 = -21. Let x be -2*(0\/2 - 56\/d). Suppose -6*r = -8*r + x. Solve 6*i + r = 2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 12*k**2 + 17*k + 7. What is l(10)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, d: 2, k: 3, f: 2}. Give prob of sequence df.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 450*u - 1 = 443*u - x + 2*x, 4*u - 9*x = 9 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8792.\nAnswer: 2, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 37)*2\/(-2) - 1. Suppose -5*j - 1 = -a. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1494.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-3))\/((-4)\/(-3360)). Round j to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (17 + 28 - 17 - 3 - 2 + 4 + (-1 + 0 + 2)*(1 - 3 + 1) + 4 - 2 - 5 - 1 + 3 + 0)*(-2*y**2 + y - y) in the form q + g*y + w*y**2 and give w.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.07 (b) -2 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5*v = -376. Suppose 103 = 4*u - g, g - v = -4*u - g. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000056689133 to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**3 - 10*w**2 - 20*w - 34. Let f be c(-7). Let t = -303 + f. Is 39 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1404506106915 - 4\nAnswer: -1404506106919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/146 and 37\/384856?\nAnswer: 384856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 593300 is divided by 84756.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 1119\/351)*48 - (-873)\/97.\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 7*u**2 - 10*u + 3. Suppose 5*i + 37 + 9 = 3*f, 2*f = -i - 4. What is p(i)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n + 2. Let h(t) = t**3 + 7*t**2 + 8*t + 7. Let z be h(-6). Let c be d(z). Solve -12 = m + 3*y, -5*m - 2*y - 4 = c for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 b when four letters picked without replacement from {b: 6, y: 13}?\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 230*f**4 + 26*f + 11 + 16*f - 15 + 1460*f**4 wrt f.\nAnswer: 20280*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3159104 and 4160?\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 85693 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.445 + -210.445. Let a = -124 - m. Let y = a + -77. Put y, -4, 0.5 in ascending order.\nAnswer: -4, 0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20*a**3*y + 9*a**2*y**2 - a - 137*y**2 + 1 wrt a.\nAnswer: -60*a**2*y + 18*a*y**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -9*y**2 - 3. What is f(-1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + -43 - 26) + 43\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.142, 3, -0.1, 0.5, 29.946 in descending order.\nAnswer: 29.946, 3, 0.5, 0.142, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h. Let q(v) be the third derivative of 0 + 0*v**3 + 1\/24*v**4 + 0*v + 5*v**2. Calculate o(q(u)).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (13 - (3 + -2)) + 0 + 3\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2960.8 - 2960.9. Which is the closest to 3\/13? (a) -0.5 (b) -0.3 (c) l (d) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1004 is divided by 917?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(1\/(-2)) - 18. Let w = l + 23. What is the second derivative of -3*v**w + 9*v - v + v + 5*v**3 wrt v?\nAnswer: 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0*m = -12. Let s(a) = -3*a + 9. Let j be s(3). Solve j = m*g + g + 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9171.\nAnswer: 3, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/5)\/(21\/(-70)). What is the first derivative of -77 + 18*a + 20 + y*a + 9*a wrt a?\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = 4*z + 265. Suppose 9*w - 17 + z = 0. Let b = -7 + 10. Put b, w, -1\/9 in decreasing order.\nAnswer: b, -1\/9, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12982 + -12982. Let g(j) be the first derivative of 0*j - 23 + 16\/5*j**5 + 7\/3*j**3 + a*j**2 + 0*j**4. Find the third derivative of g(i) wrt i.\nAnswer: 384*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28.5 - 28. Which is the closest to 0? (a) j (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-114) - 3136\/1824) + 1295\/147\nAnswer: 50\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 13*r + 76. Give j(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gqi when three letters picked without replacement from {g: 1, q: 1, s: 1, n: 1, i: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p. Let x(s) be the first derivative of s**5\/60 - s**3 + 3. Let q(d) be the third derivative of x(d). What is q(f(i))?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**3 + 27 + 21 + x**3 - 48.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42027*g + 42034*g = 14. Suppose 0 = -0*i - 4*i + 8. Let y = -2 - -4. Solve g*b + 1 = -3*j, 4*j + i*b + b = -y for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (99\/(-5) - 411\/685)\/((-2)\/30). Is p smaller than -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-7)*a*a**3\/a*a**1\/a**(-1))**6 assuming a is positive.\nAnswer: a**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 669805 and 0.3.\nAnswer: 669805.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0321556 and -2?\nAnswer: 0.0643112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**2*c*c**(3\/17)*c assuming c is positive.\nAnswer: c**(20\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 7*l**2 - 8*l - 7. What is r(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*d + 6654 = -106*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2319 + -2319.4. Let p = -187 - -2803\/15. What is the closest to -1 in 1, p, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 8*u**2 + 7*u + 1. Let l be r(7). Suppose 2*y = -l + 3. Suppose -3 - y = -o. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175554037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 5. Suppose 4*d - 13 = -p. Let i = 4 - d. Is 1 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from zxzxzz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100111 (base 2) in base 9?\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g + 52*g**2 + 621*g**2 - 2*g.\nAnswer: 673*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 1\/4, 0.4, 23.448429, 2\/15 in decreasing order.\nAnswer: 23.448429, 0.5, 0.4, 1\/4, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 2*v. Let r be y(4). Suppose -15*w + 2*w = 260. What is the common denominator of (-753)\/30 - r\/w and -7\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-3 + 5) - -8. Suppose 0 = 3*g - v*g + 25. What is the third smallest value in g, -3\/4, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.142 + -0.758. Let f = 0.88 + c. Let n = -35.48 + f. Round n to zero decimal places.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + t - 6 = 0, 5*t + 70 = -4*v + 52 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000221 (base 5) in base 6?\nAnswer: 200342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*g + g + 2*g)*(-3*g + g + g) - 57*g + 57*g + 16*g**2 + (-2 + 2*g + 2)*(2*g + 2 - 6 + 2) to i + a*g + p*g**2 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 w when four letters picked without replacement from jssjnsjjwwjwwsjsns.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110000000110000 (base 2) in base 5?\nAnswer: 3314032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - d = 11205, -3066*l + 3061*l = 3*d - 56025. Is l a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1539)\/228 - 2\/8\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1215665 + -111?\nAnswer: -1216106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 2:34 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o. Let l(r) = -1. Determine -i(w) + 5*l(w).\nAnswer: -2*w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1 + ((sqrt(637) - (sqrt(637) + -1)) + sqrt(637) + 3 - (5 + (sqrt(637) - (sqrt(637) + sqrt(637) + -3 + sqrt(637)))))**2)*-5.\nAnswer: -28755 + 840*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5*s**2 - 39*s + 39. Let m(g) = g**2 + 8*g - 8. Let i(b) = -2*h(b) - 11*m(b). Let p = 3 - 10. Let t(c) = 3*c - 3. Determine p*t(q) - 2*i(q).\nAnswer: 2*q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 45 = 17. Calculate the least common multiple of q and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -y**7\/140 + y**4 - 5*y. Let d(j) be the third derivative of k(j). Let l(q) = q**2. What is d(l(h))?\nAnswer: -18*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1140 is divided by 373.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 303, 1810, 5925, 13956, 27211, 46998?\nAnswer: 74625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 13*t**2 - 28*t - 23. What is h(15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -71, -607, -2067, -4913, -9607, -16611, -26387?\n\"Answer: -77*w**3 + 3*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + q. Let p(v) = 6*v**2 - v. What is 2*c(d) - p(d)?\nAnswer: -4*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + x = 4*x. Suppose x*k - 12*k = -552. Suppose -5*t + 156 + 294 = 0. What is the remainder when t is divided by k?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 6. Let l be p*-3*(-2)\/12. Are l and -3\/10 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 17 + 7)*(0 - 6 + 4)*(-k**3 + 8*k**3 - 2*k**3).\nAnswer: -80*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 20*b**2 - 4*b + 24. Let f(c) = -30*c**2 - 25 + 94*c - 91*c + 9*c**2. Let o(x) = -4*f(x) - 3*g(x). Differentiate o(r) wrt r.\nAnswer: 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 times 834?\nAnswer: 33360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.2*-0.3.\nAnswer: -0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2585, 2587, 2589, 2591?\n\"Answer: 2*h + 2583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of 0 + 6*y**2 - 1\/6*y**3 + 11*y. Let v be x(9). Is v at least 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -4*x**5 - 3220*x**4 - 649544*x**3 - 2457776*x**2 + 17728992*x - 20378880 = 0.\nAnswer: -435, -366, -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (27\/36)\/(1\/3804). Suppose 0 = -0*z - z - 3*p + 567, 5*z = 3*p + g. Round z to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7948, -31816, -71594, -127282, -198880?\n\"Answer: -7955*a**2 - 3*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*k = -215, -3*s + 53 = 4*k - 102. Calculate the highest common divisor of 1440 and s.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233076893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 219324 and 735?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 8*g**2 + 31858*g + 413302. Determine i(-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*p + 148*p + 135*p)*(2 - 5 + 2)*(-3*p**2 - 2*p**2 + 3*p**2)*(-2*p**2 + 2*p**2 - 2*p**2).\nAnswer: -1016*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 639487.3 nanograms to grams.\nAnswer: 0.0006394873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -29*i**3 - 21*i**2 + 2*i + 10. Let q(d) = -83*d**3 - 58*d**2 + 5*d + 28. Calculate -11*g(a) + 4*q(a).\nAnswer: -13*a**3 - a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.4, 1\/3, -3, 0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 937*v + 424. Is a(45) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -65 + 157. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268*v + 6348 = -264*v. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277212484?\nAnswer: 2, 2053, 33757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2074\/208 + 82\/(-9061)*-17 - 12\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 6*i - 1. Let k be l(5). Suppose -g + 5*g = -36. Let o be -3*6\/g - -34. Calculate the greatest common factor of k and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81 by -1.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**2 + 53*n - 89. Determine m(-29).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 58782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a second in milliseconds?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -394*g**2 - 396*g**2 + 1180*g**2 - 392*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4768916*k**4 - 1598817*k**2 wrt k?\nAnswer: -114453984*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 44 = 6*d, 136 = 614*d - 596*d - 5*b for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/3)*(t*t**0)\/t*(t*t**(-4))\/(t*t*t**(2\/3)))\/(t**0\/t**(1\/4))**(-15) assuming t is positive.\nAnswer: t**(-109\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(-13)*s*s))\/s*s*s*s\/(s\/s**(-2\/39)))\/(s*s\/s**(4\/7)*s*s\/s**(-13)) assuming s is positive.\nAnswer: s**(-950\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-15) - 23\/(-5). What is the closest to 8 in v, 2, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 12 = -9*x. Solve -z = -x*z - 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = k - 71, 5*k = 9*o - 4*o + 85. Let x be -6*1\/o*6. Solve -2*z + 14 = -x*n - 2*n, 3*z - 7 = -n for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 585 and 2945709?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19025a0a - -3?\nAnswer: -19025a07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 126744.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58873?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*j - 2 = -0*j, 2*m + 3*j - 5 = 0. Let y be -1 + 3 + (m\/2)\/(-1). Suppose -5*a + 59848 = -d, y*a - d = -2*d + 35904. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r - 21*r + 42*r + 0 - 60*r - 4 + (3*r - r - r)*(-3 - 1 + 3).\nAnswer: -45*r - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 690252\/18*36\/(-2). Let s = -627748 + a. Round s to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 30 = i - 64, -4*i + 3*v = -389. Let u(g) = -2*g**2 - 4*g + 745. Let q be u(19). Let f = q + i. Calculate the highest common factor of 225 and f.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 i when three letters picked without replacement from lqsui.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10 + -6)*(-1)\/(-2). Find the third derivative of -500 - 21*v**3 + 500 - 28*v**u + 3*v**2 wrt v.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u - 1. Let n be c(-1). Let z be 10\/21 + n\/28. Is z < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + -5 + (sqrt(2) - sqrt(32)) - (-2 + sqrt(2))*2) + 3 + sqrt(90)\/sqrt(5).\nAnswer: -sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 156170 and 674590?\nAnswer: 65435230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -197.5 - -197. Which is the nearest to 2\/7? (a) -0.08 (b) 0 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 17*g. Let m(u) = 4*u + 4. Let j be m(0). Let a be n(j). Let p = a - 47. Solve -4*t = -3*t + 4*o + 11, 2*o + 11 = p*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at least as big as -26402947?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/3 - (-10)\/(-15). Let d = z - -1. Suppose -d*o - 48 = -4*o. Is 12 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*m**2 - 7*m**5 - 18*m**2 + 6*m**5 + m)*(0 + 2 - 5)*(3 - 1 - 3)*(-3 + 5 - 3).\nAnswer: 3*m**5 - 90*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 305 = 4*u, 5*u + 60 = t - 86. Solve t*x = 60*x + 58*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6305807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + -3 + 1 + 2. Suppose r = -v + 5 - 4. Let k = 10 - v. Calculate the least common multiple of k and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 124 - 1?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -3*n + 140 - 239 for n.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/14*(-18837)\/828. Let x be 638 + 6\/(-2) + 2. What is the greatest common divisor of x and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56229?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1592 - 1583. Solve -14*o = 2*r - t*o - 16, -8 = -2*r - o for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2763759 is divided by 202.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -53*l + 94 + 12. Suppose -l*g = -8, -3*q + 769 = g - 3*g. Calculate the remainder when q is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -5*w**3 + w**2 - 3*w - 2. Let v(j) be the first derivative of j**4\/4 - j**3\/3 + j**2\/2 - 400. What is b(c) + 3*v(c)?\nAnswer: -2*c**3 - 2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2727*y - 580*y - 810*y to the form d*y + a and give d.\nAnswer: 1337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 5, 7, -4, -11, 0.3, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 68 = -5*i, -5 - 7 = 3*x. Suppose -442 = -6*b - 7*b. Calculate the remainder when b is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/4*a**2 + 0 - 21*a = 0 for a.\nAnswer: 0, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5234, 5204, 5124, 4970, 4718, 4344?\n\"Answer: -4*o**3 - o**2 + o + 5238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 52*l - 44*l - 122 - 48*l - 57*l. List the prime factors of c(-8).\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -112256 - -449025\/4. Factor 25\/4 + o*r**2 + 5\/2*r.\nAnswer: (r + 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + (-3 - -5 - 5))*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 4 - (-11 + 7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11415.\nAnswer: 3, 5, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3921 = -6*l. Let s = l - -2523\/2. Calculate the common denominator of s and -13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v*v**(4\/35))))**50)**(2\/33) assuming v is positive.\nAnswer: v**(260\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of c**6\/15 + 13*c**5\/20 - 19*c**3\/6 - 2*c + 1. Find the second derivative of a(y) wrt y.\nAnswer: 24*y**2 + 78*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/2)*h)\/h**(-10))**(-10\/7) assuming h is positive.\nAnswer: h**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hthhyvhvvyyvhhhvv.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 50422?\nAnswer: 50421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 19 = 2*q, -l - 234 = q - 114 - 118 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Differentiate 2*b*k + 1210*b - 61*k with respect to k.\nAnswer: 2*b - 61","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 108*q**4 + 3*q**2 - 104*q. Let w(t) = 108*t**4 + 2*t**2 - 105*t. Let i(s) = -2*c(s) + 3*w(s). Find the second derivative of i(l) wrt l.\nAnswer: 1296*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**2 - 12*z - 11. Let s = -836 - -834. Let k be y(s). Solve -q - 9 = -3*d + 5, k*d = -q + 26 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1654801559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(12)\/sqrt(6) + -1 + 5.\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.1, -4.3, 5, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kvck when four letters picked without replacement from kcvvcvvcck.\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*y = 21 - 19, 0 = 2*i + 4*y - 4. Let r = -0.3 + 0.1. Which is the second smallest value? (a) i (b) 3\/5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2035 divided by 2\nAnswer: 2035\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17161397 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 41516 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 11*j + 6. Let z be o(9). Let p = 40 - 59. Let t = z - p. Calculate the remainder when t is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 74488445 and 0.2.\nAnswer: 14897689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/5126 + -138187\/1102090. Calculate the common denominator of i and 103\/410.\nAnswer: 17630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -164879, -164882, -164887, -164894, -164903?\nAnswer: -164914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*h - 16*h - 6*h - 19*h to t*h + u and give t.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 117 - 117. Suppose t - l - 33 - 34 = r, -t + 2*l + 65 = 0. Does 2 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 3:14 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1108 = -13*m + 1141. Does 13 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 594617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 0 - 6*x**2 - 9*x + 21*x + 21 + 3*x. Let q(u) = u**2 - 3*u - 4. Let r(z) = 4*i(z) + 21*q(z). Factor r(p).\nAnswer: -3*p*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = u + 4*u - 10, 4*u - 6 = -3*s. Let j(m) = m**3 - 5*m**2 + m**2 + 48 - m**2 + 6*m - 7*m**s. Does 10 divide j(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -947 * 3.\nAnswer: -2841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, y: 4, t: 2, q: 7}. What is prob of picking 1 t and 1 q?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 4*h - 5. Let s be w(5). Suppose -5*x + 6560 - 1255 = s. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5*m**2 + 663*m + 1870. What is x(135)?\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jezhewdwz. Give prob of picking 1 h, 1 w, and 1 d.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62, 238, 516, 884, 1330, 1842, 2408?\nAnswer: 3016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.23 - -6.77. Let o = 0.12 + -0.16. Let v = 1.96 - o. Put l, -2\/3, v in descending order.\nAnswer: l, v, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -11072?\nAnswer: -11068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -249875 - -3?\nAnswer: -249872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 8 = -2*q, 2*k - 1 = -9. Suppose y + 4*l + 12 = 3*y, q*l - 2 = 3*y. Let c = 7 + y. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 4*x**5\/7 - 5226*x**4\/7 + 1754216*x**3\/7 - 30638906*x**2\/7 - 2376912*x + 2251424 = 0.\nAnswer: -1, 1\/2, 19, 644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2556\/144 + 84\/(-336).\nAnswer: 35\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.12, 1.244, -3\/7, -2\/111?\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -3, 0.4, -1\/3, -2\/1855?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*k**3 - 1120*k**2 - 7*k**3 - 267506*k + 77284 - 182549*k + 7240*k**2 + 23881*k.\nAnswer: -2*(k - 139)**2*(11*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eleeelevee. What is prob of sequence lee?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + -3)*(-32)\/(-96). Let g(m) = m. Let p(u) = 6*u. Let f(z) = -2*g(z) + p(z). Let d(q) = -12*q. Calculate n*d(a) - 7*f(a).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4 + 29 = 0. Let w(l) = 84*l**3 + l**2 - l + 1. Let c be w(1). Suppose -25 = q*b - c. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kdkaaf. What is prob of sequence fkk?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/14 + (-528)\/(-308))*-62*(-2)\/6.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2261 is divided by 527.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45891, -45894, -45897, -45900, -45903, -45906?\nAnswer: -45909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus 99.8403163499?\nAnswer: -99.8403163499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = 822 - 52. Which is smaller: o or -109?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 divided by 5?\nAnswer: -44\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d + 5. Calculate y(8).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, t: 2, j: 7}. What is prob of picking 1 j and 1 t?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 419129?\nAnswer: 23, 18223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 295 and 590?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(0 + (-2)\/30). Let i(v) = v**3 + 15*v**2 + v + 1. Let a be i(-15). Let t = a - s. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of z**6\/180 + z**5\/20 + z**4\/12 + z**2. Let y(r) be the second derivative of f(r). Suppose -405 + 505 = -25*g. Calculate y(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 859603022 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddddbbddbdbdddbdg. Give prob of sequence dbd.\nAnswer: 55\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jpmr when four letters picked without replacement from prrljpjpjmjrjmrrmrxp?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 55840310 a multiple of 362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 719 a factor of 31928633?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 1292*x - 1293*x + 7 = 0, 2*o + 538 = 44*x for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*u = 11, 11 - 2 = -5*v - 4*u. Let f = 3.3 + -3.3. Which is the nearest to 3? (a) f (b) 0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 402492 a multiple of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-22)\/(-4) - 14\/28. Let u(r) = -2*r - 17. Let n be u(-14). Suppose x*i + 1 = n. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of 19\/30*z**6 + 4*z - 43\/12*z**4 + 0*z**2 + 0*z**5 + 1\/42*z**7 + 0*z**3 + 16. What is the third derivative of q(i) wrt i?\nAnswer: 60*i**2 + 456*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*k = 15*k - 10*k - 4*j - 392, 3*k - j = -50 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 5211?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a centimeter in micrometers?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69 - -90. Let l be (127 - -2)\/(o\/14). Let q be (-256)\/120 + 2 + l\/(-30). Which is the smallest value? (a) -5 (b) q (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of 0 + 0 + g**3 - 3*g**2 + 8. Suppose t(q) = 0. What is q?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 24*b - 7 + 12.\nAnswer: 24*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqa when three letters picked without replacement from qaanq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 6*d**2 + 7*d + 5. Let o be i(-5). Let t be (-180)\/8*(-26)\/3. Let f be (-95)\/t - (-2)\/13. What is the second smallest value in o, f, 2\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 174 + 4 = 0. Let n = -26 + 29. Suppose 4*j + 24 = n*x + j, -2*j - f = -5*x. Solve 0 = 5*g - x - 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 6*o - 107. Let u(z) = 1. What is -c(i) + 6*u(i)?\nAnswer: -6*i + 113","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2827 = o - 9*w, 3*o + w = 8561. Calculate the remainder when o is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/18 + (-11)\/(-6).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-20)\/(-14))\/(10\/210). Let c(s) = -6 + 1 + 0 + q*s + 32. Is c(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 smaller than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 60 = -3*n. Suppose -m - 4*m + 5*c = -210, 2*m + c = 75. What is the remainder when m is divided by n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five fourteenths of a week in minutes?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/184620 and 89\/140?\nAnswer: 1292340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 32 (b) 0.3 (c) 785\/3 (d) -3 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 3, w: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 613 is divided by 77.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 8:59 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1285 = 4*h - 4121. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4*k - 230 = 15, -3*k = -2*v - 75. Let w be (-10)\/6*54\/v. Suppose 4*n = -w*n + 3480000. Round n to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -58, -117, -176, -235, -294, -353?\n\"Answer: -59*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 112 - 83. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*x**3 + 132428*x + 77286575.\nAnswer: -27*x**2 + 132428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 168*x + 151 = 275*x - 139, -2*k + 48 = -75*x + 80*x for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -f**6\/120 + f**5\/12 - 5*f**4\/24 + f**3\/3 + 15*f**2. Determine s(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -2975, -2\/9 in ascending order.\nAnswer: -2975, -2\/9, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 228.\nAnswer: -91.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-4)*(-84)\/(-9). Let t = o + -9. Solve 0 = -q - 3*d + 6*d + 9, -3*q = -t*d - 11 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/7 (b) 2\/11 (c) -4 (d) 2\/1033 (e) -0.3 (f) -34.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2979329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121925564 divided by 186987594?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tgkvktxtggtkuk. Give prob of picking 1 t and 1 v.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2163 * -0.4.\nAnswer: -865.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (3 + (2 - -3) - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3 (b) -3 (c) -0.3 (d) -0.46 (e) 0.4 (f) -2\/39 (g) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 5*s**3 - 477313660*s**2 + 11391416501129780*s = 0.\nAnswer: 0, 47731366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 2:04 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**5 + v**5 + v**5 + (2*v + 0*v - 6*v)*(5*v**2 - 3*v**2 - v**2)*(-26*v**2 - 144*v + 144*v).\nAnswer: 106*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 times 6565?\nAnswer: -190385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + -41 + 5 + 0 + -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -5. Suppose 0 = o - 7*j + 5*j - 7, 18 = 4*o - 3*j. Let y(g) = -155*g + q - g**o + 6*g**2 + 149*g - 3. Calculate y(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 33*l**3 + 28*l**2 + 45*l - 7. Give t(-2).\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212 = -34*c + 87*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1215, 2140, 3065?\n\"Answer: 925*i + 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 11:04 PM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2\/11, -58\/329, 1\/8, -15 in descending order.\nAnswer: 2, 2\/11, 1\/8, -58\/329, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 7*r**2 - r + 7. Suppose -55 = -5*h - 20. What is y(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11.51 * 0.6.\nAnswer: -6.906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -7) + -4 - -2 - (12 + 1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 271659 to the power of 1\/2, to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*x - 596916 + 596916 - 3*x**2 + 13*x - 3*x.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 22*p + 25*p + 21 = 0, 2*p = -2*a - 10 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6726?\nAnswer: 2, 3, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52 and 12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {d: 8, g: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*l + 12844 + 5461 = -26443. Does 34 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3532 = 13*m - 2175. Suppose 88 = -3*p + m. Is 9 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 155323338 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**3 - 3*c + 4*c - 7*c**2 + 0 + 0*c - 3. Suppose -25 = 3*q + 2*q. Is o(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + b = t + 10, -b + 7 = 4*t. Let m be (-76)\/28 + 0 + t. Let w = -1.6 + 1.2. Sort w, -3, m in descending order.\nAnswer: m, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, o: 9, p: 3, w: 2}. What is prob of sequence ooo?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s - 3*u - 19, s + 2*u + 29470 - 29479 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1746086?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(5\/3)*(n**(-6\/13)\/n)\/n*n**5*n**(-2\/11) assuming n is positive.\nAnswer: n**(1726\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 448 and 6848?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + (0 - 0) + 0. Let x = -1 + a. Suppose 5*u + 5*w - 5 = 0, 4*u + 3*w = -x*u + 8. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -598138137.01 minus 2?\nAnswer: -598138139.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -7*r - 8. Let m be t(-8). Let k = 9479\/3520 + 5\/704. Find the common denominator of k and 290\/m*2\/(-5).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 1.5. Let z = -0.04 + -0.36. Let b = z + f. Is b bigger than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 12:12 PM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3188*u**3 - 10720*u**3 - 2510*u**3 - 5268*u**3.\nAnswer: -15310*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 412404892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66499340 by 5.\nAnswer: 13299868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 169315 - 3.33.\nAnswer: 169311.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -213*d + 6673. Determine h(33).\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in 0.4, 77.32, -1\/5, 0.1, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - y. Let a(l) = -l**3 - l**2 + 2. Let q be a(y). List the prime factors of 2*1*17\/q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4)*z\/((z\/z**3)\/z))\/((z**6*z)\/(z**(-5)\/z)) assuming z is positive.\nAnswer: z**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7840, -7008, -6176, -5344, -4512, -3680?\nAnswer: -2848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4886 + -3365. Suppose -3*j + j = -4, 0 = 5*b - 2*j - o. Suppose -d + b = 4*d. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6513218599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10731050 divided by 895\nAnswer: 11990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + l. Let u be a(1). What is the first derivative of -3*z**4 + u*z**4 - 3 - 2*z**4 wrt z?\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20)\/55 - 413\/(-77). Solve 16*a - 13*a = 2*j + 2, -u*a + 2*j = -2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 9*g**2 - 16*g - 3. What is the tens digit of l(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184 = -5*b - g - 111, 82 = 5*b + 4*g for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 43 - 18. Let b(o) = -107*o - 18. Let f be b(i). Suppose f = 5*u - 283. 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: Solve 1875*w - 837*w + 3164*w + 292*w = -417942 for w.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -370 - -1216. Let q = -635 + v. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*x - 218 = 2*d, -4*d = 2*d - d + 4*x + 68 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -7)\/((-161)\/(-46) + 5 + -16)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 95166*c - 5*c**2 + c**4 - 95165*c + 11*c**2 + 185*c**2 in the form l + o*c**2 + t*c + x*c**4 + u*c**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 162 and 108?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of g**6\/6 + 13*g**3 - g**2\/2 + 108. What is the second derivative of v(d) wrt d?\nAnswer: 20*d**3 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/9 + (-6)\/27. Suppose 6*w - w = q. List the prime factors of 0 + 16*(1 + w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -69 - (107 + (210 - 334))?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1501)\/171 - -9)*3\/(-2). Sort -19, u, -12.\nAnswer: -19, -12, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, w: 2, f: 4}. What is prob of sequence wfff?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - (-6)\/14)*(-147)\/42. Suppose -5*k = -v*d + 1850, 3*d + 5*k = 8*k + 2793. What is the hundreds digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 5*m + 4. Let d be o(-4). Suppose d = 3*j + 12, 4*j = h - 28 - 0. What is the lowest common multiple of h and (-75)\/(-5) - 2\/2?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16556989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33115391.\nAnswer: 199, 166409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - sqrt(114)*-1)*-2)\/sqrt(6).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 29*i**2 + 136*i + 135. Determine j(-33).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/5208 and -61\/121646?\nAnswer: 45252312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -202*t**2 + 18*t - 2. Let k(w) = w. Calculate k(u(v)).\nAnswer: -202*v**2 + 18*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.679 plus -0.417?\nAnswer: -16.096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/21 and ((-1)\/(-3))\/((-9)\/423).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -79 + 34. Let y be 18\/u + (-9927)\/(-5). Is (-1 + -1)\/((-10)\/y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19936342169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6098 is divided by 2010?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39480 and 60312?\nAnswer: 14173320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of b**3\/3 + 1. Suppose -127*a - 1 - 14 = -122*a. Let u(j) = -2*j**3 - 2*j**2. Give a*m(f) - u(f).\nAnswer: 2*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 555\/353?\nAnswer: 555\/353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82377, 329582, 741591, 1318404, 2060021?\nAnswer: 2966442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 21*h**2 - 21*h + 22. What is c(20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y**3 + 22*y**2 + 4*y - 13. Let r be v(-7). Is 5735 - 6\/12*r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17\/5 or 5\/97?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 40123067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 162 - 171. Let m be (4\/(-1512))\/(s\/(-18)). Is 0 greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5*(24\/10)\/3. Suppose 2*q + i + 0*i = 17, 3*q - 28 = -n*i. Suppose 0 = 10*f - 83 + 13. Which is smaller: f or q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -10 in ascending order.\nAnswer: -10, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/132076 and -3\/811324.\nAnswer: 5679268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200863 + 906122 = 55*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*a - 4. Suppose 3*q - a = 64. Calculate the common denominator of -73\/4 and ((-33)\/q)\/((-6)\/170).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 16, 25, 24, 7, -32, -99, -200, -341?\n\"Answer: -b**3 + b**2 + 13*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3210414198.\nAnswer: 2, 3, 17, 23, 1368463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001292643 to 4 decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -5?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 5*u - 36 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = 23 - 65. Let n be (y\/(-4))\/(3\/(-4)). Solve -n*b = -2 - 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1216 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*s = -p + 17*s + 120, 2*p + 3*s = -90 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + 32 + (-2 - -2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 2\/17 (b) -330 (c) 1 (d) 0 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b - 7. Let k = 2 + -3. Let f be k + (-5 - (-1 + 0)). Determine u(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of 5*a**8\/1344 + a**7\/56 + a**6\/48 - a**5\/24 - 5*a**4\/32 - 5*a**3\/24 - a**2 - 23. Suppose y(j) = 0. What is j?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5822 - -429\nAnswer: 6251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of v**3\/6 + 7*v**2\/2 - 2*v. Let p be k(0). Is (2\/4)\/(p\/1554) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100122 (base 3) in base 12?\nAnswer: -198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 q when four letters picked without replacement from {y: 2, k: 2, c: 3, u: 2, q: 2, t: 1}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -11*k**2 + k + 47. Let i(z) = -35*z**2 + 3*z + 143. Determine 19*h(t) - 6*i(t).\nAnswer: t**2 + t + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*c - 174 = -63*c - 7*c + 6*c. Factor -2\/13*t**3 - 126\/13*t - 30\/13*t**c - 98\/13.\nAnswer: -2*(t + 1)*(t + 7)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 106.14639 months?\nAnswer: 0.88455325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/9 + 58\/(-6). Let u(f) be the first derivative of -f**4\/4 - 11*f**3\/3 - 6*f**2 + 9*f - 2. What is the tens digit of u(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 20*y + 9. Let w(g) = 7*g + 3. Let u(x) = -6*i(x) + 17*w(x). Let f(j) = j + 2. Calculate 5*f(h) + 4*u(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -383\/45 - -76\/9. Let d = n - -2\/5. Let h = 14.8 - 15. Which is the third smallest value? (a) h (b) d (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310089 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*l + l + 7*l - 22*l to j*l + z and give j.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (69\/12)\/1 - 2\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 2 + 14, 63 = q - i. Suppose v + q = z, -3*v + 116 = 2*z - 7*v. Suppose -5*d = 11*d - 336. Calculate the remainder when z is divided by d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183*c - 188*c = -381*c + 360. Solve -14*f = -8*f - c for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 4*i - 5*i. Suppose -w = a - 28, 3*a + 29 = 2*w - 52. What is the highest common divisor of i and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44410000 rounded to the nearest one million?\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19546 and 1431817.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.036121 and 3.8946254.\nAnswer: 3.8585044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(5)*3 + (sqrt(5) - 3*sqrt(20) - sqrt(5)).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -14*w + 7. Let h be r(-5). What is the highest common factor of h and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = o - 0. Suppose w - o = -c, 4*c + 2*w = 70 + 10. Calculate the remainder when c is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 - -9. Let z(t) be the third derivative of -t**5\/60 - 5*t**4\/6 - 2*t**3 + 19*t**2 + 4*t. List the prime factors of z(a).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*g + 64*g - 179*g + 58*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 2:47 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 585 - 589. Is 33 a factor of 44\/(s\/460*-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.4251 - -2.615. Let r = f + -0.19. What is r rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -11332*f - 1. Let v(a) = 2*a**2 + 15*a. Give v(p(o)).\nAnswer: 256828448*o**2 - 124652*o - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2896 and 543?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -10*(-7 - -4)\/(-3). Let z = -11 + 16. Let c = z + h. Let t(w) = w**3 + 5*w**2 + 2*w + 5. What is t(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -11.71627\nAnswer: 11.71627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of h - 2*h**2 - 3*h**3 + 2*h**2. What is the smallest common multiple of 2 and r(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/4 - 53886027*i + 2903703905844729.\nAnswer: (i - 107772054)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7, h: 12}. Give prob of sequence hfff.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16875 - -16887. Calculate the least common multiple of q and 1356.\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -2*g - 9. Does 10 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 441\/(-28)*(-11288)\/4233.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5 - 3)*(u**2 - 2*u**2 - 3*u**2 - u)*(-16*u + 16*u - 2*u**2) as y*u**3 + n*u**4 + x + o*u + g*u**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 958*i + 1057. What is the units digit of d(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 2*z + 1. Suppose 15 = 8*c - 3*c + 5*h, -3*h + 3 = 0. Let n be k(c). What is the first derivative of -5 - n + 0 - 1 + 5*w**2 wrt w?\nAnswer: 10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55391\/12 + 4607. What is the common denominator of b and 73\/930?\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -11. Let o(h) = 2*h + 5*h - 2*h + 1 - 4*h. Suppose 2 = -5*a - 28. Let f(g) = -g - 1. What is a*f(s) + x*o(s)?\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3*i = 80. Let d(q) = q + 5. Determine d(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 23179396?\nAnswer: 7\/23179396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 1, 10, -22, 4 in decreasing order.\nAnswer: 10, 4, 1, -1, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of y**3\/2 - 27*y**2 + 192*y - 2162. Let c(r) = 0. What is r?\nAnswer: 4, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 4, -0.15183, -0.3, 0.5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j - 4*j + 40. Suppose 0 = -4*k - j - 2. Is ((-1)\/k)\/((-5)\/(-795)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) 9 (b) 3 (c) 3\/7 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**2\/7 - 1888*y\/7 - 1608 = 0?\nAnswer: -938, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 134976 to the power of 1\/2, to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 8:45 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28 or -31?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -3\/7, 2\/9, 0, 0.19, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1378 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -380105.41 to the nearest one hundred.\nAnswer: -380100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*y + 27. Suppose 0 = 4*q - y*j - 2 - 3, 0 = 4*j - 12. Suppose 4*p - 2*p = -q*t + 32, -9 = -p + t. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (31 - 30) + (-3 - (0 + -1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q + 12 = -17*q. What are the prime factors of ((-4)\/q)\/(8\/(-864))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -68*(-1)\/(8\/(-6)). Let j = f + 47. Calculate the remainder when 54 is divided by (-5)\/10 + (-58)\/j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventy-four fifths of a microgram?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 + 15. Let w(i) = 2*i + 26. Let j(k) = 3*k + 27. Let l(x) = -3*j(x) + 4*w(x). Is l(m) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**2 - 2*m + 3. Let q be y(2). List the prime factors of (-2)\/q - 32\/(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/210 and -86\/525.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-39) + 228\/39. Let h(p) = -p**3 + 5*p**2 + 8*p - 9. What is h(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 8:59 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (0\/(-2) - 0). Factor -2*l**2 + 2*l**j - l**3 - l**4.\nAnswer: -l**3*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -3\/146 (c) -1\/8 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 715 = -13. Let u = g + -101. What is the derivative of -24*q**u - 464 - 7*q**3 + 6*q**3 + 488 wrt q?\nAnswer: -75*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2.2, -0.3, 41, -0.2, 5?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 - 55. Let p = h - -34. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 629, 426, 223?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1301 is divided by 1036.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23824 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of 0*c**4 + 0*c**6 + 0*c + 0*c**5 + 0*c**3 + 0 + 1\/420*c**7 + 2*c**2. Solve d(i) = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/6 (b) -0.06 (c) -5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 at most -3126\/259?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) 5161 (b) 0.4 (c) 7 (d) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 99*k**2 + 386*k + 561. What is i(-95)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.01 + -4.01. Let z = -8 + 9.2. Let o = 1 - z. Which is the second smallest value? (a) d (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-26)\/(-8) + (-3)\/(-4). What are the prime factors of (-54)\/l*(-4)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4224.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -118\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 2675877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.4, 3\/5, -2\/7, 0, 0.09?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 2157b47?\nAnswer: 2157b44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -31, 11, 7, -13?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 11, h: 9}?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11)\/44 - (-3)\/(-4). Let f = -1.1 + -2.9. Which is the nearest to z? (a) -5 (b) 0 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -850 (base 9) to base 10\nAnswer: -693","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8383 is divided by 2090.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 52840660.\nAnswer: -5284066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3573 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -63409200 divided by -5300\nAnswer: 11964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000391755 rounded to six decimal places?\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (360\/(-10))\/(38\/(-19))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 9*w - 12. Let v(t) = 16*t - 21. Let k(p) = 7*m(p) - 4*v(p). Calculate k(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 81 + -79. Suppose c*h + 7*h = 216. Does 8 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 62*5\/(-10) - (17 + -30)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2602053331 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 24489039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -26*d**5 + 52*d**4 + 182*d**3 + 86*d**2 - 9*d + 9. Let q(z) = z**4 - 2*z**3 - z**2 - z - 3. Let x(g) = -4*m(g) - 12*q(g). Solve x(t) = 0 for t.\nAnswer: -1, 0, 3\/26, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - (11\/(-33) - 16\/6). Suppose -14*q = -l*q - 64. What is the smallest common multiple of 6 and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9974 is divided by 597?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-18)\/(-12))\/(28\/(-16)*8\/(-28)) and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 74, 0.05?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 4, -4\/137, -1179, 2, -1\/4?\nAnswer: -4\/137","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 4*v - 8 = w, 2*v - 4 = -w. Suppose 4 = v*n + 2. Let u(g) = -11*g - 1. Calculate u(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.3 + 1184107389.\nAnswer: 1184107399.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -50 - -158. What is the highest common divisor of w and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1501, 4\/7, -3, 0.1, 2\/5, -9 in descending order.\nAnswer: 4\/7, 2\/5, 0.1, -3, -9, -1501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/3*(4 - 11\/4). Factor -3\/2 - 3\/4*o**3 - 3*o**2 - j*o.\nAnswer: -3*(o + 1)**2*(o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374\/(-68)*-10*8\/(-40)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of r**8\/560 + r**7\/140 + r**6\/120 - r**3 + 7*r**2. Let n(h) be the first derivative of j(h). Determine q so that n(q) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19628406 and 10602.\nAnswer: 608480586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 459869, 459868, 459867, 459866, 459865?\nAnswer: 459864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) 2 (c) 0 (d) 1 (e) -5\/39 (f) -5\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -t**4\/12 - t**3\/2 + t**2 - 42*t. Calculate the smallest common multiple of 2 and j(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10475.9486 to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1490558 at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v = -11 + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 9*j**2 - 22*j - 1. What is u(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/(-6) + (-49)\/(-28). Suppose -4*y + 6*y = 8. Suppose -6 = 4*c - 5*u + 22, -y = u. Is c >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1548\/222 - (-7)\/259?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0, -6\/7, 108 in descending order.\nAnswer: 108, 0.5, 0, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1518585 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 330762.9 millimeters?\nAnswer: 33076.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.27 + 66\nAnswer: 65.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uekuuukueekuuuujje. Give prob of picking 1 e and 2 j.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from rnyrryr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 155 - 2. Let t = a - 35. Find the second derivative of -t*g - 5*g**5 + 22*g + 13*g**5 - 11*g wrt g.\nAnswer: 160*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 559 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/45*3)\/((-4)\/20). Is (-2)\/(n\/3) + 3914\/19 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2 - 5 - 9249*c**3 + 9248*c**3 - 2 - 6 + 6*c**2 - c. Let n be k(5). Suppose -q = -2 - 1. Solve 12 = n*r - q for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - c + 60153, 0 = -4*c + 104 - 84. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 70767309?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10\/17 + -64\/51. Let w = 0 - -5. Which is the third biggest value? (a) w (b) d (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -1)*4\/12?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 26, 56, 86, 116, 146, 176?\n\"Answer: 30*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 12*p - 22. Calculate the remainder when 11 is divided by u(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 1219e221?\nAnswer: 1219e222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1217, 1214, 1313, 1592, 2129, 3002, 4289?\nAnswer: 6068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -276 + 1047. Does 15 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 275*w + 6. Let l(f) = 399024*f + 8704. Let k(d) = 3*l(d) - 4352*n(d). Let x(h) = 4*h**2. What is x(k(r))?\nAnswer: 295936*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*t + 334 = 0, -4*h + 1555 = 5*t + 234. Let w = h + -321. Which is the nearest to 0.1? (a) 6\/11 (b) -5 (c) -0.4 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 342 + -196. Let g = a + -195. Let t be (1 + 0)*g\/(-7). Solve -4*i - t = -3*i + 3*s, 2*s + 2 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1190063?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d + 17. Calculate the remainder when 111 is divided by h(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 15*r + 21 - 22 - 14*r. Calculate p(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -7, -1\/57, 4 in descending order.\nAnswer: 4, -1\/57, -1\/5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -351, -703, -1055, -1407, -1759, -2111?\n\"Answer: -352*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/9? (a) -2\/3 (b) -1 (c) -0.035 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p**2 - 3*p**2 - p**2)*(19*p - 26 + 9 + 24) to the form w*p**3 + s + q*p + j*p**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) + sqrt(242) + 2*sqrt(242) + -5 + sqrt(242) + 3 + 1 + sqrt(242))**2*-5.\nAnswer: -43565 + 660*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (p + 3*p - 3*p)*(p - p - 3*p)*(0 + 0 - 1) in the form s*p + x*p**2 + b and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1414 (base 13) to base 6.\nAnswer: 21214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/273 - (-22551390)\/346710.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**2 - 5*d + 5*d)*(176*d + 10 - 354*d + 173*d).\nAnswer: -20*d**3 + 40*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**2 - 259344*v - 8407413792 = 0 for v.\nAnswer: -64836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1811003 and 92749?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 468*t + 17101*t + 1827176 = 0 for t.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/9514248 and -29\/96.\nAnswer: 38056992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 9:23 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 28. Suppose -4*k + d*k = 25. Which is the third biggest value? (a) -3\/2 (b) -3\/5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1054*g + 1017*g + 462796 = 0. Is g a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*s + 3*s + 30. What is the second derivative of 369 + 9*x + s*x**2 - 369 wrt x?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94542469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3718362 at most 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4 = -3*q, 3*q = -7*u + 4*u + 12. Suppose q*i + 16 = 4*i + 2*j, 5*i + 3*j = 20. Calculate the smallest common multiple of i and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*((sqrt(19) - -1*sqrt(19)) + sqrt(19) + 1) - (1*1*sqrt(114))\/sqrt(6)) + -2 + 3*(sqrt(304) + sqrt(304)*1*-4))**2.\nAnswer: -100*sqrt(19) + 11879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 434? (a) 2 (b) 5 (c) 38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 940ba4 (base 12) to base 15\nAnswer: 30d97a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 439158777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + sqrt(1700)) - (-3 + sqrt(1700)*1)) + -4*(sqrt(1700) + 1*sqrt(1700) + sqrt(1700))*-2.\nAnswer: 8 + 180*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 + 3269 = -259*p - 302 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*d**5 - 6424*d**3 - 50867*d wrt d.\nAnswer: -80*d**3 - 38544*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -426, -1411, -3318, -6453?\nAnswer: -11122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 1, -5, 21 in increasing order.\nAnswer: -5, 0, 1, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -21*y**3 + 275*y**2 - 28*y + 54. What is p(13)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 57*u - 19. Let a be n(3). Calculate the highest common factor of a and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -1\/5*s**2 + 0 - 1\/100*s**5 - 1\/6*s**3 + 18*s - 1\/15*s**4. Factor g(j).\nAnswer: -(j + 1)**2*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(462) + sqrt(462) + 2*sqrt(462))\/sqrt(11))\/(-6*sqrt(6)*-1)*-1 + (-5*sqrt(1512))\/(sqrt(486)*2 + sqrt(486) - sqrt(6)))**2.\nAnswer: 35287\/1521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 766 + -762. Suppose 3*c = -6*p + 78, -c - d*p = -2*c + 2. What is the remainder when 104 is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 110.55216 to one decimal place.\nAnswer: 110.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k + 4*k - 6*k)*(-23 + 68 - 23) to the form b*k + q and give b.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/2304 and 173\/5400.\nAnswer: 172800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000024 rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83801?\nAnswer: 47, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -84 - -83. Let m be (2 + 161\/(-7))\/(j\/(-2)). Let i = m - -42. Solve -v = -i*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9200 and 550.\nAnswer: 101200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1946, 7345, 16260, 28691, 44638?\n\"Answer: 1758*y**2 + 125*y + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3513*s + 1. What is m(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4427678419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 429*h**3 - 9*h**2 + h - 3. Let m be y(7). Let x = -137437 - m. Let w = -537147 - x. Round w to the nearest 10000.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/3 + 4\/(-1). What is the remainder when ((-245)\/21)\/(1\/f) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 62 - 5?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 8*v**2. Let j be f(-8). Solve 0*i + 5*i = j for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 21 - (-62 + 64 - (40 - 2)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 15) to base 6\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9503 - 9488. Suppose 3*c - 90 = 5*o, 15 = c + 3*o - 15. Calculate the greatest common divisor of y and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 400 = 13*f. Suppose j + 5*m - f = 0, -6 + 16 = 2*m. Solve -8 = -0*b - j*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4\/17, 0.1, 2257?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18743689551 + -911074518084002\/48607. Let d = r + 2\/3739. Let h = d - 699\/26. What is the common denominator of 14 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*f - 4. Let q(s) = f*s - 1 + 1 - s + 1 + 5*s**2. Let t be q(-1). What is the greatest common divisor of t and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*w = -2*x + 10297, -41188 = -4*x - 2*w. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22219 is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6\/37 - 176\/629. Let f = 317 + -315. Which is the fourth biggest value? (a) -2\/5 (b) m (c) -6 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -101*g + 4577. What is x(43)?\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 131032?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - f - 2. Let c be v(0). Sort -16, c, -4 in decreasing order.\nAnswer: c, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 11:18 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-16))\/(77\/44).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(2\/(-1354)) - (18 - 20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06986 in -0.21, -0.6, -0.5?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w**3 - 12 + 65838*w**2 - 65834*w**2 + 12.\nAnswer: 5*w**3 + 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3353 rounded to 1 decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11408)\/(-119784)*(-7)\/(-54)*3.\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*j**2*n**3 + 7858*j**2*n**2 + j*n**3 - 2*j*n**2 - 2*j*n - 154*n**3 + 26*n wrt j.\nAnswer: 36*n**3 + 15716*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8685*h**3 + 17020?\nAnswer: 26055*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 605 - 352. What are the prime factors of h?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f*y*z - 184*f*z - 225*y*z + 2*y with respect to y.\nAnswer: -2*f*z - 225*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2163*h**2 + h - 3. Is y(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y - 5. Let c be o(5). Suppose -4*r + c = -3*r. Let k(g) = -g**2 + 11*g + 7. What is the tens digit of k(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 87100871?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26076?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 6 = -2*q, 5*p = q + 8*p + 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*u + 2627 = 4719 - 2508 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 303 a factor of 50334941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r**2 + 32*r - 15. Let s be v(10). Let d(o) be the third derivative of 0*o**3 + 0 + 1\/48*o**4 - o**2 - 1\/240*o**6 + 0*o**s + 0*o. Factor d(x).\nAnswer: -x*(x - 1)*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -1 + 2 + 2 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 468 - 268. Let o be ((-25)\/3)\/(3\/(-9)). What is the greatest common divisor of c and o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-14 + 347)*11\/3?\nAnswer: 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21.1 - -19.12. Let h = -12.72 + c. What is h rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o - 3. Let x be i(-6). What is the second derivative of 0*f - 7*f**3 + 3*f**x + f wrt f?\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/3536 and 73\/190799976.\nAnswer: 4960799376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194 = -40*c + 3 - 37. Solve -i - 4*n = -4*i - 4, 0 = -i - 4*n + c for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 440 = 2*h + 8*h. Suppose -w = 4*c - 46, -2*w + 24 = -4*c - h. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -427*t - 24. Let q be x(1). Let h = q + 630. What is the remainder when h is divided by 57?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31.138 - 31.538. Let w(l) = -l**2 + 4*l - 2. Let m be w(4). What is the closest to m in 1\/11, 3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220 is divided by 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.5 + 12.497549. What is s rounded to four decimal places?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 5*q - 6, 686*o - 690*o + 2 = -q. Solve -7*d - 3*s = -9*d + o, -2*d = 5*s - 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33996137017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttttftfttttfttt. Give prob of sequence ttf.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(99)\/(sqrt(45)\/(sqrt(45) + sqrt(5))) + sqrt(1100) + -5*(sqrt(1100) + -3 - sqrt(1100))**2).\nAnswer: -45 + 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/1284 and 4\/(-3) - (-69 - -64 - 12911\/(-3531)).\nAnswer: 14124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 2:34 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -5*p**2 + 83630*p - 349698845 = 0.\nAnswer: 8363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 2:44 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of 0*x + 0 - 14*x**2 + 2\/3*x**3 + 1\/24*x**4. Calculate b(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -42843, -42842, -42841, -42840?\n\"Answer: j - 42844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of 0*j + 102 + 0*j**2 - 51\/4*j**4 - 65\/3*j**3 - 1\/5*j**5. What is the third derivative of g(w) wrt w?\nAnswer: -24*w - 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19869?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 73\/4 of a litre?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*(3 + sqrt(700)) - sqrt(700))*3)**2 - ((sqrt(175) - (sqrt(175) + 3))*-2 + -4)**2) + 1.\nAnswer: 22680*sqrt(7) + 311613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 8*q**2 - 8*q - 12. Let i be g(-9). Let m be 19\/(-2)*4\/(-1). Let h = i + m. What is the greatest common divisor of 17 and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(228)*3 + sqrt(228) + sqrt(228) + sqrt(228))\/sqrt(12) + 3)*2.\nAnswer: 6 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4*h**2 - 16*h - 18. Let f be s(-1). Let c(p) be the first derivative of -4 + 1\/2*p**f + 0*p. Let w(y) = -4*y**2. Give c(w(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 23 = 3*w + 2, 0 = 3*w - 3*a - 15. Let c(r) = -r**3 + 4*r**2 - 4*r + 3. Let l be c(w). Solve 0*g = -l*g - 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pfofffoffffpopfp. What is prob of sequence op?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f = -19*f + 10. Suppose 0 = n - f*o - 69, -3*o - o = -n + 74. Suppose n + 381 = 5*z. List the prime factors of z.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/(-6))\/(26\/(-78)). Suppose 2*k = -v*s + 68992, -s + 2*s = -k + 13796. What is s rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -6*n + 0*n**4 - 13\/12*n**5 + 0*n**6 - 4\/35*n**7 + 0 + 0*n**3 + 4*n**2. What is the third derivative of r(y) wrt y?\nAnswer: -576*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*k**4 - 4*k**4 + 5*k**4 - 1736*k**2 - 50*k**4 + 1736*k**2 - 2*k**4 + 2*k**4 + k**4 + (4 - 4 - 2)*(2*k - 2*k - k**4) + k - k - 2*k**4.\nAnswer: -42*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) - (sqrt(98) - (sqrt(98) + 2)))*3)**2.\nAnswer: 252*sqrt(2) + 918","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1783 is divided by 594.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(833)*-2 + sqrt(833) - sqrt(833))*2 + 5 - (-6*sqrt(833)*-1 + -5))*-3)**2.\nAnswer: -12600*sqrt(17) + 750600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2196*b - 449*b - 431*b - 440*b - 448*b - 429*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of 0*c**2 + 38*c + 0 - 1\/72*c**4 - 7*c**3 + 0*c**5 + 1\/1080*c**6. Let x(f) be the second derivative of w(f). Factor x(t).\nAnswer: (t - 1)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1470 - -1479. Solve 8*p = y*p - 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 k when three letters picked without replacement from kkkqqqqqkqkkkqkqkkkq.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (1 + -6) - (34 + 3)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 2*j**5 + 4 + 2*j**5 - j**5 + j**5 + (0*j + j + 0*j)*(7*j**4 - 3*j**4 - 3*j**4) + j**5 - 4 + 4 + (-3*j**2 + j**2 + 3*j**2)*(4*j**3 - 3 + 3).\nAnswer: 10*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -743 = 371*m - 4082 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 391 - 91. Let d(x) = 2*x**3 + 20*x**2 - 106*x - 912. What is the remainder when i is divided by d(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -185, -409, -721, -1121?\nAnswer: -1609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3605 and 3605.\nAnswer: 3605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1676*u + 2919*u + 3600*u in the form y*u + n and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -16*h**2 + 7*h - 7. Let t(d) = 16*d**2 - 6*d + 6. Let b(l) = -l + 7. Let u be b(0). What is u*t(p) + 6*k(p)?\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 135 + -96. Suppose -p = 3*u - 6*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3040256311 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/3 - (-3)\/9. Suppose -4*z + d*y + 74 = 0, -3*y + 49 = -0*z + 2*z. What is the remainder when z is divided by 2 - 1*-4 - -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 9*b + 14. What is q(9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -7*x + 2*o + 12, -5*x = 3*o - 10. Let k(i) = 3*i - 8 + 53*i**2 + 0 + i. What are the prime factors of k(x)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25031408 and 1168.\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1688981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -3\/4 (c) -818\/3 (d) -5 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 + 1 + 3 + (5 - 3 + 0)*(-3 + 2 - 1) - 1 - 1 + 0 + 0 + 2 - 1)*(2*c + c + c) as n*c + k and give n.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 - 44 = -50*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/99*-2)\/(-2*(-1)\/36).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n - 19*n = -2. Let t(o) = -o**n + 0*o - 6 - 1 - o + 10*o. Let y be t(7). Solve -2*k = -f - y*k + 20, 4*k = 4*f - 8 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 96 + (-36 - -20 - -14)\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -90, -171, -262, -369, -498, -655, -846?\n\"Answer: -f**3 + f**2 - 77*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5102, 5104, 5106?\n\"Answer: 2*o + 5100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 3*q - 5*q + 37, 4*q - 63 = 5*d. Let u(h) = 5*h**2 - 21*h - 21. Let y(o) = 14*o**2 - 62*o - 63. Let j(b) = -8*u(b) + 3*y(b). Is j(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 - -4. Let y = o - 229. What are the prime factors of 6\/(-10) + y\/(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 1 = -3*l - 3, 3*l = 0. Let y be -3*n*(-8 - -7). What is the units digit of 25\/y - (-6)\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 3*g**2 + 3*g - 3. Let k be u(3). What is the common denominator of (74\/4)\/(33\/k) and (17\/(-4))\/((-20)\/8)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*y - 5*y. Sort -0.03, -0.2, -1, -2, y.\nAnswer: -2, -1, -0.2, -0.03, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-10) - 1640\/(-25). Let h = 103 - j. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 727957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-19)\/(v**(-1\/2)*v)*((v*v*v**0\/v)\/v)**(6\/31))**(-2\/73) assuming v is positive.\nAnswer: v**(39\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of 5*k**8\/336 + k**7\/7 + k**6\/6 - k**5\/2 - 25*k**4\/24 + 18*k**2. Factor d(r).\nAnswer: 5*r*(r - 1)*(r + 1)**2*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - ((-1 - (10 + -19)) + -49).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*r + 17*r = 430 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*o**6 + 35*o**6 + 2062*o**4 + 1142*o**4 + 2621*o**2 + 410*o**2 wrt o.\nAnswer: 240*o**3 + 76896*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1771?\nAnswer: 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106953?\nAnswer: 3, 7, 11, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*(15\/6 + -3). Let g(y) = 3*y**2 + 5*y + 1. Suppose 3*q + 3 = 18. Let n(u) = -2*u**2 - 3*u - 1. Determine q*n(l) + z*g(l).\nAnswer: -l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h = 13 + 7. Which is the smallest value? (a) h (b) -0.9 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5641 - 12255?\nAnswer: -21226","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 2:10 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.2813858 milligrams?\nAnswer: 281385.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -56 (c) -3 (d) -0.5 (e) 3 (f) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1743 (base 8) to base 2\nAnswer: -1111100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 - 23. Suppose -y = 3*x + 1, -f*y + 2*x - 56 = y. Let c(g) = -4*g - 5. Is c(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1144.7*9.\nAnswer: 10302.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 15*k**5 + 11008*k**4 + 31337*k**3 - 70284*k**2 - 78932*k + 11696 = 0?\nAnswer: -731, -4, -1, 2\/15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/4 - 3\/(-12). Let r = -39.37 - -40. Let a = 0.17 + r. Which is smaller: v or a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 21*x + 92. Let w be p(6). Suppose 0 = w*c - 2*k - 80, -c + 3*k - 44 = -2*c. Is 42 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 2370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.070354634 rounded to 4 decimal places?\nAnswer: -0.0704","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 9 = -5*w - 3*t, 3*w - 3*t = 0. Let l(u) = u**3 - u**2 - 1. Let g(h) = 10*h**3 - 6*h**2 - 6. What is w*g(j) - 6*l(j)?\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -70241, -139673, -209105, -278537, -347969?\n\"Answer: -69432*w - 809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84654 is divided by 8465.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(4 + -5) - (-14 + 3). Is n\/(-2) + ((-26020)\/(-8))\/5 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -3*p + 4*z, 0 = -p + 33*z - 37*z + 1. Solve -a - p = -8 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*j - 12*j - 9*j)*(5 + 8 + 11 + 20)*(0 - 2 + 0).\nAnswer: 1144*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -5*x. Let i(y) = y. Let u be i(1). Suppose t = -4 + u. Let s(z) = 2*z + 2. Let j(q) = -2*q - 3. Let g(m) = t*s(m) - 2*j(m). What is f(g(v))?\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 14*d**2 + 2*d + 2. What is s(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-15))\/(2\/5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6308 + -6308.1. Suppose 3*x + 0*x = 0. What is the nearest to y in -5, -0.3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 13) to base 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z - 1. Let x be u(-6). Let c(t) = -t**3 - 7*t**2 - t - 4. Let m be c(x). Solve -m = q + 2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -568 - -2528. Suppose 117*q + a = 131*q. Is q a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -8*a**2 + 7*a. Let x = -26 - -27. Let n(f) = f + 4*f - f**2 - 4*f. Determine x*j(u) - 6*n(u).\nAnswer: -2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 15 + 25 = 0. List the prime factors of i*(28\/16 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 4*g + 2. Let f be a(-4). Solve -f*z + 3*o = -0*z + 21, 0 = -5*z - o - 10 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o + 49. Let m be (((-32)\/(-3))\/2)\/(17\/51). What is the remainder when 82 is divided by d(m)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1743?\nAnswer: 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45754 + 31636. What is g rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 81\/4 in -1, 3\/4, 7\/2, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/11 (b) -1858.326 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((15309\/216)\/((-9)\/6))\/(9\/(-12)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 790110 is divided by 306?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 0*p + 0*p)*(-p + p + p) + 0*p**3 - 5*p**3 + 0*p**3 + 7*p**3 - 4*p**3 + 11*p**2 + p**2.\nAnswer: -4*p**3 + 12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104614*v**2 + 0 + 104676*v**2 + 3 - 4.\nAnswer: 62*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 7*p**4\/2 + 20*p**2 - 19*p - 2. What is the derivative of t(g) wrt g?\nAnswer: 84*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*n + 3*r - 9, -2*n = r - 6. Solve -5*h + 19 = 2*c, -5*c - n*h + 11 = -8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55\/2 - -28. Let o = -32867.8 + 32869. What is the nearest to t in o, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220541?\nAnswer: 17, 12973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009889834 to four decimal places.\nAnswer: 0.0099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5738659327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v - 196. Calculate m(61).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-114)\/10 - -1) + (-152)\/(-380). Let b be 192 + (k - (-7 + 3)). What is the greatest common divisor of b and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -944, -943, -942, -941, -940, -939?\n\"Answer: b - 945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, -2569, -3\/4, -49?\nAnswer: -2569","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 84041845 to the nearest one hundred thousand.\nAnswer: 84000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*g + 10*g - 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*q - 34 + 34 + (-3 + 1 + 0)*(-2*q + 4*q - q) + 0*q - 4*q + 2*q - 3*q - 3*q + 3*q)*(-2*q**3 + 2*q**3 - 2*q**3).\nAnswer: 30*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 7*q + 8. Let m = -16 - -8. Give k(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/18 - (-3893)\/27846. Let w be 0\/(-5) + (-13042)\/1456. Let b = w - d. What is the common denominator of b and 35?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.003 - -0.003. What is the nearest to 3\/2 in q, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 566253630 divided by 127.\nAnswer: 4458690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1\/6)*a**(4\/9)*(a*a*((a**(-3\/5)*a)\/a*a)\/a*a*a*a)\/a*a*a*a*a\/((a**(-9)*a)\/a))**(2\/7) assuming a is positive.\nAnswer: a**(1591\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 7*d. Let t be i(-5). Is (6\/t)\/((-5)\/(-25)) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -1169*t**4\/6 - t**3\/3 + 89*t**2\/2 - 2544*t. Find the second derivative of r(q) wrt q.\nAnswer: -4676","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 16. Solve -3*x**2 - z*x**2 + 5*x**2 + x + x**2 = 0 for x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 6:47 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-25*(-14)\/(-980))*2?\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g + 30. Let z(y) = 2*y + 1. Determine j(d) + 2*z(d).\nAnswer: d + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 l, and 1 m when three letters picked without replacement from {l: 4, j: 1, m: 2, f: 1, q: 6, v: 1}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y - 14*y - 8*y)*(-378 + 378 - 39*y) + (0 - 3 + 5)*(y**2 + 2*y**2 - 5*y**2) - 3*y**2 + 0*y**2 + 2*y**2 + 2 + 2*y**2 - 2.\nAnswer: 621*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -790, -791, -792, -793, -794, -795?\nAnswer: -796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10\/3? (a) 0.2 (b) 7 (c) -1 (d) -4 (e) -8\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-15) + ((-7)\/(-3) - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(-10401 - 1055*t - 10409 + 20808).\nAnswer: -1055*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(15\/6) + 1. Sort -6, -2, j in descending order.\nAnswer: j, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.88 + -8.6. Let h = -0.28 + r. What is the closest to h in 3, 3\/5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 466517, 466501, 466459, 466379, 466249, 466057, 465791?\n\"Answer: -2*k**3 - k**2 + k + 466519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + a**2 + 3*a)*(3*a + a - 3*a) + a**2 + 2*a**3 - a**2 - 3*a**3 - 2*a**3 + 7*a**3 + 21 + 949*a**2 + 924*a - 947*a**2 - 942*a - 2*a**3.\nAnswer: 3*a**3 + 2*a**2 - 18*a + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1387 + 1407. Suppose -2*l + 2*i + 0 = -2, 3*l - 8 = 2*i. What is the least common multiple of 12\/(2\/l*2) and t?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26301.54 hours in milliseconds?\nAnswer: 94685544000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by -59721\nAnswer: -10\/19907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*-1*(-5 + 6))\/((12 - 4)\/(-344))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28.76 - -6.7. What is s rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*q + 53*q - 120 = -5*o + 116*q, 5*o - 3*q - 114 = 0 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/368 and 97\/18?\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*k - 2*k**2 + 10*k**3 - 7*k - 2*k**3 + 27*k**2 - 9*k**3 as a*k + n*k**3 + y*k**2 + w and give y.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31*(-58)\/(-899)*1\/11.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 4, 0.6, -1\/11, 1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**4\/12 - 15*i**2. Let r(c) = -6*c + 1. Determine l(r(u)).\nAnswer: -12*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5185 - 3668. What is the remainder when d is divided by 169?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 1:13 AM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-10))\/((-248)\/63240). What is the highest common factor of h and 6171?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 r when two letters picked without replacement from ararraaarrrrriaarr.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3073 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 151 or 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -1, -186 in descending order.\nAnswer: -1, -3, -4, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 4*s + 4*q - 226, 0 = -s + 3*q + 50. Suppose -i + 15*i = s. Solve 3*c - 2*p + 1 = -i, 3*c + 6 = 3*p for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of s**4\/4 + 7*s**3\/3 - s**2 - 10*s - 25. Is 4 a factor of i(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41 - -42. Let v be (-3)\/(-3) + l + -1 + 1. Solve v*x = -x + 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 763430.8 millennia to months.\nAnswer: 9161169600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -91*p**5\/20 - p**4\/12 - p**3\/3 - p**2 - 9*p - 30. Let t(y) be the first derivative of f(y). What is the tens digit of t(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 230483 + -112956. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 57\/6 + 1\/2. Let b be ((-3)\/3)\/((-1)\/2). Suppose f = -5*n + b*h - 8, 4*h = -2*n - 12. Is -4 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22832, 45066, 67300, 89534, 111768?\nAnswer: 134002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27887?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.00206894 + 0.00234. Round r to 5 dps.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12*1 + (-7 - -5). Let b be (10\/(-8))\/((-17)\/68). What is the greatest common divisor of b and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - r + 118 = 0, 2*r + 82 = 3*s + 6*r. Calculate the remainder when s is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1045 - 560. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79 + 16*g - 18*g - g.\nAnswer: -3*g - 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -g + 3. Suppose -3*w - u = -5, -3*u = -w - 6*u - g. Suppose -w*m + 11 = -13. What is the least common multiple of 22 and m?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1931 is divided by 103.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 51643 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: What is the remainder when 515195 is divided by 53?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z**2 + 5110*z = 0.\nAnswer: 0, 1022","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 572146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 380 a factor of 221796500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16 + -795?\nAnswer: -77d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(-14))*p)\/p*p**30\/p assuming p is positive.\nAnswer: p**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-39)\/(-182))\/(4\/(-70))*(-48)\/(-9).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-7)*k*k)\/k)\/k**(4\/3)*k**(2\/7)\/(k**(-2)\/k))\/(((k\/(k\/(k\/k**(-2))*k))\/(k\/(k\/(k*k\/k**(1\/7)))))\/((k*k**(-1))\/(k*k*k*k*k**8))) assuming k is positive.\nAnswer: k**(-340\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21668199?\nAnswer: 3, 7, 37, 79, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 43*d + 11. Let r(o) = 21*o + 6. Let s(y) = -2*m(y) + 5*r(y). Let v be s(-6). What is v rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, n: 7, x: 3, v: 3, h: 3, p: 2}. What is prob of picking 1 p, 1 n, and 1 h?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28890 divided by 45.\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -17 + (-1 - (1 - 5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a hour in minutes?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -25679.71 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from opuucrruuu. What is prob of picking 3 p and 1 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14534*m**2*y**3 - 4*m**2*y**2 + 178*m + 466*y**3 + 25974*y**2 + 4 wrt m.\nAnswer: -29068*m*y**3 - 8*m*y**2 + 178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 807 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 1. Let c(f) = 7 - 6*f**h - 5*f + 2*f + 0 + 5*f**2. Calculate c(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tctttexxt. Give prob of picking 1 e, 1 t, and 1 c.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 5:07 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*i**2 - 1 - 4*i**2 - i + 70*i**3 - 2*i**4 - 68*i**3 + 1 as w + v*i**3 + c*i**4 + s*i + l*i**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 838\/19127?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 10*c**2 + 1. Calculate the remainder when m(-2) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15366 times 2?\nAnswer: 30732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6929 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*b**2 - 1 + (b - 3*b - b)*(28 + 8*b - 28).\nAnswer: -22*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*z**2 + 7*z**4 - 4*z**4 - 11*z**2 + 3*z**5.\nAnswer: 3*z**4*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16\/18*(-15)\/20 - (-35)\/3\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in -2\/5, 6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1344 by -16.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 1:57 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 0\/5 + 4 + 0. Sort a, -5, -3, -4 in decreasing order.\nAnswer: a, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, -3, 0, 6\/181 in descending order.\nAnswer: 6\/181, 0, -4\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6272107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 14*b + 14. Give n(14).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 4:58 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - k**3)*(2 - 6 + 2) + 2*k**3 + k**3 - k**3 + (k**2 + 7*k + 0*k**2 + k + 2)*(-4*k + 0*k + 7*k).\nAnswer: 7*k**3 + 24*k**2 + 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 18*z - 41. What is the remainder when 38 is divided by h(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 9:40 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -137, -132, -127?\n\"Answer: 5*x - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -28*v - 16. What is t(-2)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7384 - -51686\/7. Let s = 15 + -10. What is the nearest to d in -8, s, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 5*a - 8 + 4*a**2 - 2*a - 12*a**2. Let r be w(-8). Suppose -15*o = -12*o - r. What is the lowest common multiple of 36 and o?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1484355189 to the nearest integer?\nAnswer: 1141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 10) + (4 - (0 + 7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4061*n + 1740 + 104707 = 906*n - 142798 for n.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2. Let y(g) = -164097*g. Give o(y(w)).\nAnswer: -26927825409*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 620041 (base 7) to base 16.\nAnswer: 19cc9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 - 53 - 19 + 3*q - 32 to the form t + k*q and give t.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of y**4\/24 + 5*y**3\/6 + 25*y**2\/4 - 6*y. Find m, given that g(m) = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6844, -6843, -6842, -6841, -6840, -6839?\n\"Answer: h - 6845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1017319 is divided by 259?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -4*z**2 + 0*z**4 + 1\/6*z**3 + 0 - 1\/60*z**5 + 0*z. Let v(k) = 0. Calculate k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-18))\/(14\/(-3)*(-6966)\/(-292572)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68155186470559\/2266215378 - -2\/53957509. Let u = -30073 + d. Calculate the common denominator of -33\/5 and u.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2230733.\nAnswer: 19, 113, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -92074 divided by 10\nAnswer: -46037\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) - sqrt(75)*2) + sqrt(3) - sqrt(6)\/(sqrt(2)*1))**2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 a when two letters picked without replacement from aoaoagouaguuuaauju?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 240467?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 136*t - 72*t - 65*t + 2 + 1. Suppose -i + 60 - 63 = 0. Let s = 3 + -1. Let b(o) = 3. Calculate i*b(z) + s*d(z).\nAnswer: -2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pnp when three letters picked without replacement from ypnynyyrppypyyyppy?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*d**3*t**3 - 38958*d**3*t**2 - d**2*t**3 + d**2 + 8031*d*t**3 - 12*t**2 wrt d?\nAnswer: 18*t**3 - 233748*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 5*z - 2*y, -2*z + 74 - 28 = 4*y for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.55 times -75164?\nAnswer: 642652.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + i - 14 = -247, -4*u + 465 = -3*i. Suppose 4*m = -3*y + 508, m - 10 - u = 3*y. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -0*q - 5790. Suppose -462 = -c + q. Suppose 0 = -4*t + 20, 5*j + 4*t - t = c. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 g when three letters picked without replacement from nntygjtyynntjyyytyy.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 102 - 332213?\nAnswer: -332111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.38 + 1.62. Let r = 3\/2 - 11\/6. What is the nearest to 2 in b, r, -2\/17?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25325541 (base 6) to base 3\nAnswer: -1112200022121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*k - 483 + 2199 = -100*k for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*w = -2. Let o(i) = -i**3 + 7*i**2 + 11*i - 18. Let t be o(8). Let k = w + t. Calculate the least common multiple of 16 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + f**2 - f - 7. What is the remainder when 151 is divided by m(-3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 0.04962, -5\/4, 1, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 0.495\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85097.37 kilograms to grams.\nAnswer: 85097370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of 529*v**2 - 73*v + 1\/6*v**4 + 0 - 46\/3*v**3. Find n such that f(n) = 0.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wlw when three letters picked without replacement from {l: 3, w: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 98.06222 centuries?\nAnswer: 9.806222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96\/(-36)*(7 + -7423)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -110*b + 440. Let k be r(4). Suppose k*g**3 + 0 + 2\/17*g**4 - 6\/17*g**2 + 4\/17*g = 0. Calculate g.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.21383 - -0.68617. Are b and 25.3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1644\/263 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wf when two letters picked without replacement from afaffaiafawiawi?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 1261 and 24261 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 447 - 914*n + 2496*n + 516*n + 3148*n wrt n?\nAnswer: 5246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 10*i - 102 - 1\/2*i**2. Let x(t) = -t**3 - t**2 - t + 7. Let d be x(0). Calculate f(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 69443 and 493889.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2 - 5)*(-n + 3*n - n) - n - 2*n + n - 4*n + 2*n + 4*n - 9*n - 8*n - 8*n)*(-1 - 15 - 8).\nAnswer: 648*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16021 + -16016. Which is the fourth biggest value? (a) -97 (b) 2 (c) i (d) 2\/3 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -872*j - 16284. Calculate the smallest common multiple of 3 and r(-19).\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.04 + -1.04. Suppose -4*v + 1 - 5 = -4*b, -b - 5 = -4*v. Let y be v\/3*11\/(-66). Put -0.5, y, i in descending order.\nAnswer: y, -0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1015 - 1009. Solve -b*v + 9*v + 6 = -3*x, 5*x - v - 14 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: 41520 (base 7) to base 6\nAnswer: 115130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (8 - (-6 + (10 - 1)))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -43*p + 2. What is g(1)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1154.06 + -1132.0684. Let s = i + -22. Round s to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-40))\/((-2)\/10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(88\/24 + 1).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2002*a - 2058*a = -500416. What are the prime factors of a?\nAnswer: 2, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 116 in ascending order.\nAnswer: 0, 2, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 3*m + 4, -4*l + 6 = -m - 2*l. Let g = -35 + 35.13. Let o = g + -0.13. What is the third biggest value in -2\/9, o, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1805160 divided by 1960\nAnswer: 921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/((-20)\/24) + 100\/15. Which is the closest to -1.3? (a) o (b) 1 (c) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/5, 0.042, -2, 3 in descending order.\nAnswer: 3, 0.042, -6\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*z**2 + 21*z**2 - 5*z**2.\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 445 a factor of 518990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 162055 (base 7) to base 12\nAnswer: 16597","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 5:23 AM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2 - 4 = 0. Let a = 6 + n. Find the second derivative of -x**5 - x - 5*x**2 + a*x**2 wrt x.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 158*w**2 + 312*w + 31. Determine h(-2).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1485 = -3*m - 2*r, -2*m + 583 + 407 = -r. Suppose -2*g = 5*p + g - 844, -3*p = -2*g - m. Is 31 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.3 - -58.3. Let h = i - 26. Let s = 26 - h. What is the second biggest value in s, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r - 5*r**3 - 29 - r**3 + 84 + 55.\nAnswer: -6*r**3 + r + 110","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 9) in base 10?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/(-4) + 140\/(-56) - -9358?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o = 15*o + 4*w - 26, 0 = 3*o + 4*w - 22. Solve -5*c + 6*c = -o for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52482222.\nAnswer: 2, 3, 13, 74761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o - 4*o + 20. Find the third derivative of -82 + 19*p**4 + 5*p**o + 82 wrt p.\nAnswer: 456*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((0 - 1)*19)\/(-1). Suppose 2*y = 3*h - t, 5*h + 1 - 16 = 0. Let u(l) = -l + 5. Give u(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-154)\/44*(-60)\/(-245)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/195*(-71)\/((-2343)\/2574)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11194, -22380, -33580, -44800, -56046, -67324?\n\"Answer: -p**3 - p**2 - 11176*p - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l**3*z**4 + 678*l**3*z - l**3 - 99*z**4 + 2*z wrt z?\nAnswer: -12*l**3*z**2 - 1188*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5*j = -7*n + 40, 0 = 4*n + 5*j - 35. Calculate the lowest common multiple of 4 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from axaynqayyayayay. What is prob of sequence nya?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -141*c**4 - 19047*c**3 + 36873*c**2 - 16041*c - 1644 = 0. Calculate c.\nAnswer: -137, -4\/47, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 3:15 PM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55107 and 1269?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v - 1. Let x be 2\/(-7) - 279\/(-21). Let d = -9 + x. Suppose 2*t + 0 = d. Give w(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f**3 + 13*f**2 + 9*f. Let y(u) = -10*u**3 - 32*u**2 - 22*u. Let l(p) = -12*c(p) - 5*y(p). Determine q, given that l(q) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 182697243 and 5594?\nAnswer: 2797","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -524524*t**4 + 3*t**3 - 49*t**2 - 2*t + 4018?\nAnswer: -12588576*t + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbp when three letters picked without replacement from pbbbbbbpbb.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9.238 and -0.01.\nAnswer: 0.09238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 383743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, r: 2, x: 5}. What is prob of picking 1 x and 1 r?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 680767310?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 962\/7 or 138?\nAnswer: 962\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5040 by 18.\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -0.377, 2, 1, 150, -2?\nAnswer: -0.377","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/9)\/(1\/291). Let b = -93 + l. Suppose 26 + 38 = b*w. Calculate the lowest common multiple of 10 and w.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9177 + -770897\/84. What is the common denominator of a and -187\/60?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7*(1 + -4)\/3. Let w(g) = g**3 + 7*g**2 + 3. Let s be w(d). Suppose 5*u + 0*u = 3*r - 85, s*r = -2*u + 71. Is r a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 0*l + 1\/4*l**2 - 8 + 5\/18*l**3 + 1\/12*l**4. Factor w(b).\nAnswer: b*(b + 1)*(2*b + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.47 less than -6361?\nAnswer: -6360.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3553803829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 10, 2*u - 10*b + 15*b - 52178 = 0. List the prime factors of u.\nAnswer: 2, 6521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fsyyyysfv. What is prob of sequence fv?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16107613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.635299 seconds in minutes?\nAnswer: 0.24392165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 351 and 468?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c - 8. Let a be s(10). Suppose 150 = 3*d + a*d. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/4)*t*t**(2\/17))\/(t*t**(-2))**(-18))**(10\/7) assuming t is positive.\nAnswer: t**(-5655\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s. Let r(z) = -1207*z + 607*z + 602*z. Give a(r(q)).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 185*g + 131.\nAnswer: 185","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10270647 - -92239353. Round v to the nearest 1000000.\nAnswer: 103000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 + 27. Suppose -5*a = -s*a - 12. Let -9\/2*o**2 + 12*o - a = 0. Calculate o.\nAnswer: 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) -3 (c) 3.1 (d) 1.69 (e) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4832938 or 4832894?\nAnswer: 4832894","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48116?\nAnswer: 2, 23, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**5\/9 + 591394*h**4\/9 - 23665360*h**3 + 2840227200*h**2 - 113616768000*h = 0.\nAnswer: -591754, 0, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in 1, 3362, 5, 4, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -24. Suppose -i*r + 18 + 3 = 0. Suppose 2*o = 4*c - 18, 3*c = 3*o - 5*o - 4. Solve 5*h - 1 = 3*t - c, -r*h = -3*t + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1445 divided by -5?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -382 by -3.\nAnswer: 382\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -932, 3, -8, 1, -223 in ascending order.\nAnswer: -932, -223, -8, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 45*i - 46*i - 26, -3*h - 20 = i for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + -1. Let z(s) = 0*s - s**2 + 1 + s + 0. Let c be z(-1). Put k, 4, c in ascending order.\nAnswer: k, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/21 in 0.05, -0.1, 46?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -15*z + 479. Let o be k(31). Let b(y) = -y**2 + 15*y - 12. Determine b(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3 - 36*s**2 + 9595*s - 9558.\nAnswer: -(s - 81)*(s - 1)*(s + 118)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 161 + -347. Let j = z - 63. Let m = j - -248.761. What is m rounded to 2 decimal places?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 130\/(-70))\/((326 - -10)\/(-24))?\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -92\/301 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**3 - 5*n**2 - 4*n = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -126, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 475 = -0*r - 3*r + 4*y, 0 = -4*r + 3*y - 645. Let z = -96 - r. List the prime factors of z.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/((1 + 11\/(-10))\/(10\/(-50))). Put -3, u, 7, 2 in decreasing order.\nAnswer: 7, 2, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1559 - 0.48.\nAnswer: -0.3241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-8)\/(-20) - 5552\/4080 and 6\/5.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-3)*24\/(-30). Suppose 10*j + 102 = -41*j. Is r smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34317*p + 528*p**3 - 17168*p - 17175*p - 140*p**3.\nAnswer: 388*p**3 - 26*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*z + 15 = 0, 6*z - z = v + 16. Let h be (1 + -1 + 1)*-1. Let l be (h\/(-2))\/(2\/(-4)). Is l greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a decade in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 10 = -0. Let w be (23\/(-2) + s)*-10. Suppose -b + 4*b = -3*o + 174, 5*o + w = 2*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 5*l**2 - 22*l - 27. Let f(r) = 2*r**2 - r + 1. Let a(u) = -3*f(u) + w(u). Give a(-16).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5+-3021\nAnswer: -3016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 3:20 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -f**11\/3696 + f**7\/105 - f**4\/6 + 10*f. Let z(k) be the third derivative of v(k). Find the third derivative of z(i) wrt i.\nAnswer: -1800*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c6 + -aa0?\nAnswer: -c76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-5)*10\/20?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 773511 is divided by 630.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k + 20 - 461 + 0*k.\nAnswer: 3*k - 441","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iwh when three letters picked without replacement from {w: 5, i: 11, h: 3, n: 1}.\nAnswer: 11\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {k: 5, q: 1, c: 1, v: 2, z: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(17) + -1 + (sqrt(17) - (sqrt(17) + sqrt(17) + 4)) + sqrt(17)).\nAnswer: -20 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3020233 is divided by 86261.\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*m**2*n**3 + 52794*m*n**3*u**3 + 30*n**3*u**2 + 736*n**3 - 2*n**2*u**3 wrt m.\nAnswer: 14*m*n**3 + 52794*n**3*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 5*o + 14. Suppose -25 - 32 = -3*c. Let j = 34 - c. Solve -2*n - 6 = 5*l, -5*l - o*n - j = -4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 1, -11\/8, 0.045?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53 - -57. Let a(g) be the second derivative of 9*g**2 - m*g - 17 - 2*g**3 + 17. What is the first derivative of a(d) wrt d?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2 + 5*q - 5. Let v be l(-3). Let x = v - -68. Is 5 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.18 - -0.02. Let g = -7.6 + 8. Which is the smallest value? (a) g (b) -0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 17*w. Let r(d) = 2*d + 25. Let k be r(-15). Let p(q) = -44*q**2. Let f(x) = -18*x**2. Let h(i) = k*p(i) + 12*f(i). Give o(h(y)).\nAnswer: 68*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/((sqrt(10)*-3)\/sqrt(5) - sqrt(2)).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - k + 7 = 4*k, 5*k - 35 = -5*x. Suppose -x = 2*b - 24. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60048?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*s**3 - 4)*(-221*s**2 - 41*s**2 - 255*s**2) - 2*s**5 + 7*s**5 + 3*s**5.\nAnswer: -1026*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -118 - (17 + -41 - -14)\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*r = 54*r + r - 980 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s - 35. Let u(n) = -7*n + 5. Let t(a) = -3*a + 2. Let j(v) = 10*t(v) - 4*u(v). Give g(j(i)).\nAnswer: -2*i - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.5 - -1.1. Let u = 0.8 - 4.8. Let m = 0.6592 - 0.9592. Sort c, u, m.\nAnswer: u, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 22.11955, -1\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g + 1. Let d(a) be the second derivative of -7*a**3\/6 - 5*a**2\/2 + 509*a. Determine 2*d(h) + 9*m(h).\nAnswer: 4*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 6, 0 = -0*w - w - 5*h + 5. Suppose 0 = v - 1 - 1. Suppose 0 = f + v*f - w. Solve 2*d = -2, -4*d + 3 = f*q + 12 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0228 * 0.01\nAnswer: 0.000228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 829?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.631866 decades in centuries?\nAnswer: 0.2631866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10646580 rounded to the nearest one hundred thousand?\nAnswer: 10600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19766, 18827, 16280, 11321, 3146, -9049, -26068?\nAnswer: -48715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2228 - 1532. Let c = g + 51. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2 - 20389*z**3 + 20390*z**3.\nAnswer: z**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22801*l**3 - 296715*l**2 + 657000*l - 337500.\nAnswer: -(l + 15)*(151*l - 150)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3 + 0*o**2 - 5*o**2 - o**2 - 5*o + o**3 + o**2. Let z be x(6). Suppose -z*r + 66 = 2*a, 2*a - 6*a = -r + 22. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5647903?\nAnswer: 23, 245561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 37033*q**2. Let w(b) = 6*b**2. Determine w(t(p)).\nAnswer: 8228658534*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-1*sqrt(1088) - sqrt(1088))*4 + sqrt(1088)*2*-4)**2.\nAnswer: 278532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -400140310 (base 5) in base 12?\nAnswer: -637639","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -10*u + 5. Let i be w(-2). Let r be (-2 - -6) + i\/(-7). Suppose r*p**4 + 0 + 15\/7*p**2 - 6\/7*p - 12\/7*p**3 = 0. What is p?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/3))**(-12))**(4\/9)\/(((x*x*x**(2\/3)*x)\/x**(7\/5))\/(x\/x**(-1\/4)*x)**33) assuming x is positive.\nAnswer: x**(13277\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.97 - -5.8. Round c to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2821 is divided by 281?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2704 (base 8) to base 15.\nAnswer: -686","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 1 + 6. Let k(i) = -1108*i**3 + 5*i - 9. Let a be k(d). What is a rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/5)\/(i**(2\/7)*i))\/(((i*(i\/i**9)\/i)\/i)\/(i**(-4\/3)\/i)) assuming i is positive.\nAnswer: i**(628\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k + 17. Let x(d) = 3*d + 26. Let f(m) = 8*h(m) - 5*x(m). Let z be f(-2). Suppose z*b - 3455 = -4*r + 4685, 0 = -4*b - 16. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -2\/3, -2, -1, -14?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1185 + -1816. Let z = b + 12561\/20. Calculate the common denominator of 3\/(-3 - 411\/(-117)) and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7359?\nAnswer: 3, 11, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -8*k + 66. Let q be z(8). Let b(j) = 32*j - 30. Let v be b(q). Let u = 111 - 77. Is u != v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 924 is divided by 308.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k = -355 + 331 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -5, 72, 2 in descending order.\nAnswer: 72, 2, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/84 and 34\/9?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yo when two letters picked without replacement from {k: 2, y: 1, a: 2, j: 2, o: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 + 63. Let v = 54 - 27. What is the greatest common factor of l and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 663167003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 3*m. Let v be j(3). Suppose -z - 3*z + 24 = v. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3847.\nAnswer: 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2 = -16. Let w = 9 + g. Suppose -3*o - 2 + 8 = 0. Solve -w*y + 4*m = -1 - o, 0 = 2*y - 2*m for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 5, -456?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -392355, -783621, -1174887, -1566153, -1957419?\n\"Answer: -391266*x - 1089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -39. Let x = -40 + k. Let o = 7 - 11. Which is the nearest to x? (a) o (b) -0.1 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 31*u**3 - 4*u**2 - u + 12. Let z be j(2). Suppose 0*m = 2*m + z. Is -122 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 83, 2, -1 in descending order.\nAnswer: 83, 5, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 6 = -0, -2*l - 4*k + 28 = 0. Let y = 280 + -190. Calculate the greatest common factor of y and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + g + 46 = 0, 6*p - 113 = 4*p - 5*g. What is the remainder when 154 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -6. Let y(l) = -l**3 - 6*l**2 - 2*l - 14. Let j be y(-6). Which is smaller: b or j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8562991 is divided by 368.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10509 is divided by 3039?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 3, 0.16, 10?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 30954, 61866, 92778, 123690, 154602?\n\"Answer: 30912*z + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-1*-2*(sqrt(1782)*-1 + sqrt(1782)))\/(1*2*sqrt(98) + (sqrt(98) - sqrt(98)*-2*2)))**2*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*r + 5*r + 304*r**2 + 111*r**2 to t*r + i + z*r**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 152 and 13144?\nAnswer: 249736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 24857064 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - a = 11, 2*a + 0*a = 2. Let p(q) = -3 - q**2 + 11*q - 3*q + 3*q**2. Let j be p(z). Solve 5*g = -4 - j for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-5) + (-14)\/(-12).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 186 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 10:03 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/65, -3\/4, -1\/3, -1\/5, 6\/119?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -220*p. Let y(v) = -17*v**2. Calculate t(y(g)).\nAnswer: 3740*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 1)*(-1 + (1 - 3)). Suppose 4*u = 3*u + t + 19, -l*t = -u + 29. Calculate the remainder when 41 is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 2*k + 3 - 1, -2*k - 6 = 0. Let y be l\/4*-1*(-27 - -29). Is y + 3 - (-625 + -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in -2, -1, 0, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -430.27 (b) 45 (c) -0.2 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/9)\/q)**(-4\/7)*(q\/q**(-8))\/((q\/(q*q**8))\/q*q) assuming q is positive.\nAnswer: q**(1103\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 6:27 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkvvivtvkvkvttvttvrv. Give prob of sequence vik.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 806\/18 + -3*(-6)\/81. Solve -15 = 42*n - w*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - (7 + 0\/(-3 + -6)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5799\/22 - 28731\/110. Determine j, given that 0*j**2 + 0 + 8\/5*j**3 + 0*j + 4\/5*j**5 - f*j**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 11. Let y = -3 + w. What is the third derivative of -2*x**2 + 3*x**6 - 5*x**6 + 4*x**y wrt x?\nAnswer: 240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*r - 46842 = -47488 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*o = 26*o + 20. What is the second derivative of 265*b**2 + 40 - 441*b**o + 3*b + 222*b**2 wrt b?\nAnswer: 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + 3 - (-30)\/(-3). Let v(c) = -c**3 + 14*c**2 + 74*c + 10. Let y be v(-4). Sort 1, q, y in increasing order.\nAnswer: q, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 2*n**2 - 697*n + 2820. Determine v(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -359138*d*t**2 - 63023*d*t + t wrt t?\nAnswer: -718276*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56 + 38*w**2 - 56 + 4749*w - 40*w**2 + 5298*w to the form i*w**2 + m + l*w and give l.\nAnswer: 10047","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/756 and -103\/504.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/6071652 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - 10. What is the common denominator of -121\/6 and (-6 - 102\/o)*26\/(-8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 25 + 11. Let d be p*((-44)\/(-11) + (-7)\/2). Sort 2, d, -22 in descending order.\nAnswer: d, 2, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + i**2 + 4*i. Let l be z(-3). Calculate the highest common factor of 12 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**3 - 4*y**3 - y**3 + 16*y**3 - 6*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -18*y - 11. Is z(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15171 + -2773.\nAnswer: 12398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 102*b + 146*b + 2 - 212*b + 2*b**2 + 4*b**2 to the form y*b**2 + w + r*b and give r.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - -1)*(-32 + 12). Let f = n - -23. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 8*p**2. Let b(k) = 2*k. Let l(d) be the third derivative of -7*d**4\/24 + 2*d**2 + 45*d. Let o(s) = -4*b(s) - l(s). What is r(o(j))?\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(4\/3))\/(z*z**7*z)*z**(-3\/2)\/(z*z*(z*z**(-1\/3))\/z) assuming z is positive.\nAnswer: z**(-53\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 2\/3*d**3 + 0 - 5\/12*d**4 + 11*d**2 + 0*d. What is the units digit of j(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*z - 74 + 74)*(-5*z + 3*z - 2*z)*(-z + 2*z - 3*z) to b*z + s*z**2 + o*z**3 + j and give o.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02338603818 rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1759905 and 280?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 3*i - 31, -4*p - 3*i - 18 - 7 = 0. Let r be ((-6)\/4)\/(p\/(-420)). Let o = 390 + r. Round o to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 104965542?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5 = 5*w, -5*m + 0*m - 5*w = -45. Let g be (6 - (m + -3)) + -11. Is (-1)\/(2\/g - 4462\/(-15666)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33 - 25 - (-4412 + 2)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of 2*n**7\/105 + 8*n**6\/105 + 11*n**5\/105 + n**4\/21 - 35*n**2. Determine s, given that r(s) = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b - 9. Suppose -4*v + 1 = 5, -3*v - 9 = -i. Calculate j(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1801 rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 5*y**2 - 3*y. Determine p(4).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -6. Suppose -s + 5*k - 1 - 7 = 0, -4*s + 10 = k. Let j(c) = 5 + 6*c**s + 4*c - c**3 + 5*c**l - 7*c**2. Calculate j(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/67, 0, -138?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2192684 is divided by 2192683.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 6*(1 + (-1*(sqrt(768) - (1 + sqrt(768) - sqrt(768))) - (0 + 2*sqrt(768) + sqrt(768))))**2.\nAnswer: -1536*sqrt(3) + 73747","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 811847, 3247316, 7306431, 12989192, 20295599?\nAnswer: 29225652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-9))\/((-80)\/((-198720)\/(-138))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2792226 is divided by 1098?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**5\/7 - 736*a**4\/7 - 66224*a**3\/7 + 273792*a**2\/7 - 276768*a\/7 = 0.\nAnswer: -186, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5325971 and 122?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -182 - -64. Is (s\/(-1) - 2)*69\/12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/(1*2\/(-2)). Suppose t*h = 8*h - 19. Let k = h - 5. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-24)\/(-4))\/(-6) + (-36074)\/10. Let n = -3564 - l. Let z = -177\/4 + n. Is z at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, j: 6, e: 1}. What is prob of sequence www?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 g, and 1 t when four letters picked without replacement from {g: 3, t: 2, j: 3, b: 11}?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5948005 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -49064148*t + 71084061 wrt t?\nAnswer: -49064148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*v + 128 = 0. Suppose 0 = -7*i + 6*i + v. Is i a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.948 + -0.052. What is the second smallest value in -1, k, 0.1, 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 5*u, 39 = -3*l + 38*u - 45*u. Solve 2*r = h - 2 - 4, l = -4*r for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h + 5. Let t be g(10). Suppose 5*d + q = -q + 35, -d + t = 2*q. Let x = 19 - d. Does 3 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1062 - -1768. List the prime factors of u.\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5090760 by -18.\nAnswer: 282820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/((-168)\/208))\/((-24)\/(-14))?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t - 5*t + 4*k = -4, -3*t = 4*k - 1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-15)\/(-20))\/((-5)\/4))\/(5\/125).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2.915+1.114\nAnswer: -1.801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 43*v - 22. What is the units digit of g(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23 + 19*f - 52 + 25 + 7*f + 43*f to g + h*f and give h.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2809799 and 11168?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15735455*r**3 + 25696312*r**2?\nAnswer: 94412730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -72.000282 + 72. Round v to 5 dps.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4\/9 + 2*r**3\/9.\nAnswer: -2*r**3*(r - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 108, 1, 18 in descending order.\nAnswer: 108, 18, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10.5209 and 551.\nAnswer: 540.4791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**11\/h*(h**(12\/11)\/h)\/h assuming h is positive.\nAnswer: h**(100\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 5:01 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116451053 is divided by 181?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 12:05 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 5*q**2 - 3*q - 5. Let x = 5 + -1. Let i be z(x). Let g = -133 + 132. Is i less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14.943 - 0.04854154.\nAnswer: 14.89445846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/3)\/1*-750. Let y be (-3)\/(1*3\/(-2)). Suppose 0 = -y*u + u + q. Round u to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 2\/15*n**5 + 6 + 0*n**2 - 4\/9*n**3 + 2\/3*n + 0*n**4. Determine x, given that u(x) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 13*n + 220. Let j be 16\/(-40) - -7*n\/(-10). Solve 2*k - 3 = 5*h, 10 = 5*k + 5*h - j for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.637994 - -552.\nAnswer: 548.362006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 255, 4, -7 in increasing order.\nAnswer: -7, -2, 4, 255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -151 + 154. Suppose -7280 = -5*u + 3*t, -u - 3*t = x*u - 5851. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (49 - 43) + (1 - 7). Solve c*s + 1\/2*s**3 + 0 + 1\/2*s**4 + 0*s**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1924952 is divided by 565?\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 31, 3 in descending order.\nAnswer: 31, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 9 + -1 + -3. Is (-1 + 5 + (-1359)\/(-2))*a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 98*u**3 - 170*u**2 + 9*u + 9. Let b(y) = -50*y**3 + 85*y**2 - 5*y - 5. Let o(a) = -9*b(a) - 5*j(a). Factor o(v).\nAnswer: -5*v**2*(8*v - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 7659865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + a?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 26*h + 5. Let l(a) = 130*a + 24. Let y(d) = 11*k(d) - 2*l(d). Let o(q) = 8*q**2 - 74*q + 20. Let v be o(9). Does 5 divide y(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 0.0224\nAnswer: 0.0224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 46 = 310. Let h = p - 52. What is the highest common factor of h and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*g**3*m - 147479*g**3 - 4203*g**2*m**3 wrt m?\nAnswer: -6*g**3 - 12609*g**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + -6 + 4*1119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r - 2. Let a(i) = -3*i + 4. Calculate 2*a(g) + 5*h(g).\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 862050?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 2*o**5 - 5 + (-o**4 - 2*o**4 + o**4)*(3*o - 11 + 11) + 5*o**5 + 21*o**2 - 18*o**5 + 14*o**5.\nAnswer: -7*o**5 + 21*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11485\/3 - -3828. Let a(p) = -p**3 - p**2 + 2*p - 2. Let f be a(2). Put -2\/3, g, f, -2\/9 in descending order.\nAnswer: -2\/9, g, -2\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 368? (a) -3 (b) 1 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.0586228 centuries?\nAnswer: 0.586228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -5\/3048?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 (base 9) in base 14?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/258 (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6\/13, 23, 11342?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**3 + 5444*p**2 + 10916*p - 16356 = 0 for p.\nAnswer: -3, 1, 1363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-160 - -200) + (2 - 2) + (1 - 7).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.94 and 6.0908976.\nAnswer: 5.1508976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.328, 0, -4\/5, -5, -2\/45?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.714 + 0.295. Let g = m - 0.581. Suppose 0 = 2*l - 5*k + 10, 3*k + 15 = -3*l - 2*k. What is the second smallest value in l, 0.3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 2:44 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -117 - -288. Suppose -4*b = -7*b - y. Let a = -18 - b. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.002 + -0.202. Let u be 18\/(-28)*(-1806)\/1548. What is the second smallest value in u, -1, -8, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 6:31 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 419220128?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*x**4 - 3*x**4 + 7 + 3*x**4 wrt x?\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38168230, 38168231, 38168232, 38168233, 38168234, 38168235?\nAnswer: 38168236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.029726 + -23.718726. Let u = 0.689 + n. Which is bigger: 1\/3 or u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 6 = -3*d + 5*d, -4*t + 2*d + 12 = 0. Let f(n) = n**2 - n - 1. Let z(w) = 2*w**3 - 2*w**2 + 2*w + 2. Calculate t*f(a) + z(a).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4908978 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -74*b**5\/5 + b**4\/4 + 24*b**3 + 205. Find the third derivative of i(j) wrt j.\nAnswer: -1776*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 154 and 374?\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2208, 2299, 2434, 2637, 2932, 3343, 3894?\nAnswer: 4609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0463964672 to 3 dps.\nAnswer: -0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 12:06 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 126 - 121. Suppose 2*j = -3*a + 10, m*a = -6*j + 4*j + 14. Put -5, 5, a, 1 in descending order.\nAnswer: 5, a, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 988937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1403102 (base 5) in base 4?\nAnswer: 12331233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25296 by 2108.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -z**9\/68040 + z**8\/30240 - z**4\/8 - z**2. Let d(j) be the second derivative of g(j). Factor d(l).\nAnswer: -2*l**3*(l - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5 - 8 = 0. Let k(o) = -o**3 + 16*o**2 - 17*o + 31. Let n be k(15). Sort w, n, -10.\nAnswer: -10, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2179 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -969514\/2175 at least -447?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -257 - -241.1. What is l rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.8 + -3.46. Let k = -5.56 - p. Let g = -6 - k. Which is the biggest value? (a) -5 (b) g (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*t)*(3 + 1 - 10)*(-2 + 7 + 11).\nAnswer: -192*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/5 + 178*r**3\/5 + 8096*r**2\/5 + 15488*r\/5.\nAnswer: r*(r + 2)*(r + 88)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 962\/5 - 192. What is the biggest value in 3\/4, 2\/17, -0.4, a?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 73, 257, 567, 1009, 1589, 2313, 3187?\n\"Answer: l**3 + 57*l**2 + 6*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15976 + -15953. Let i be (-2)\/4 + (-231)\/(-2). What is the greatest common factor of i and j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4936147 - 68?\nAnswer: -4936204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 252850201 to the power of 1\/3, to the nearest integer?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*p = 5*r - 26*p + 23, -3*p + 33 = -6*r. Let v(o) = 2 + 2*o - 1 + 0. Determine v(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*t + 24*t + 772 - 3208 = 108*t for t.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -64*s**4 - 33*s**2 + 922*s - 6495755 wrt s?\nAnswer: -256*s**3 - 66*s + 922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -1.6. Let q = 0.98 - 1.88. Let n = w - q. What is the second smallest value in n, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.09 - -0.805021399\nAnswer: -2.284978601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 1:59 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 788*a - 789*a = 2*b - 6, -4 = 2*b - 4*a. Find k, given that 27*k**b + 2025 - 3\/5*k**3 - 405*k = 0.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2 = -4. Let b(t) = -t - 4. Let o be b(m). Suppose 28 = -o*h + 6*h. Solve h*r = 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -4*o**4 - 612*o**3 - 29160*o**2 - 314928*o + 5668704 = 0.\nAnswer: -54, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 739410023.\nAnswer: 11, 19, 3537847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/(-6))\/((-11748)\/60876)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 1\/2*s + 0 - 1\/2*s**2 + 1\/2*s**4 - 1\/2*s**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + -1*sqrt(72))\/sqrt(2))\/sqrt(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -74625188 <= -74625180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 62559063 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*r**5 + 10*r + 4*r**5 - 2*r wrt r.\nAnswer: 120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -11. Solve 0 = 2*g + a*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(550)\/sqrt(99))\/((sqrt(90) - ((sqrt(90) - -2*sqrt(90)) + sqrt(90))) + sqrt(90)).\nAnswer: -sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.687 - 0.187. Which is the closest to -2\/5? (a) 22 (b) g (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 - b**2 + 34 + 11 + 5*b**2.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 0. Let d be (0 - -18)\/k + -2. Let h = 459 + -456. Solve d = h*l + 1 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 279 and 527?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 times -114?\nAnswer: -1482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4418*b - 3465*b + 18107 = 0 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-three thirds of a day?\nAnswer: 20640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -n**5\/60 - n**4\/12 + n**3\/3 - 3*n**2. Let d be c(-2). Suppose -5*b + 3*b + 10 = 0. Solve -x - b = -d*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.52 + 0.92. Let l = -0.42 + 0.02. What is the second smallest value in l, 5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1616056, 3232480, 4848904?\nAnswer: 6465328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z - 1. Let p(n) be the second derivative of 5*n**3\/2 + 3*n**2 - n. Let x = 4662 - 4661. Calculate x*p(h) + 6*j(h).\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -66 + 501. What is the highest common factor of 15 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.5759797 to 0 dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -156, 543, 5, -2 in increasing order.\nAnswer: -156, -2, 5, 543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2*y - y - 110, 2*r = 0. What is the units digit of y\/(-22)*((-488)\/(-10))\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*l - 994 + 3694 = 0 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 130162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 165322 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1180 in -1\/8, 0.5, -1\/5, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 + 3888*u + 19515.\nAnswer: -3*(u - 1301)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/5))**(-18\/5)\/((v\/(v**(-5)\/v*v*v))\/v**(-7\/6)) assuming v is positive.\nAnswer: v**(-1033\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 + 4*l**2 - l**2)*(-59*l + 101*l - 64*l).\nAnswer: -22*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2)*6\/8. Let z be 12\/9 - ((-24)\/15 - 3). Let w = z + -19\/3. Which is the closest to w? (a) 5 (b) 4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 608 = 10*d - 472. Is 36 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 814 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, s: 3, o: 3, p: 7, y: 3}. Give prob of sequence ooo.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 8*g**2 - 22*g - 19. Suppose -6*w + 5*w - 10 = -n, -20 = 2*w + 5*n. Let y be x(w). Solve 2*q - y = 3*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 4*m - 2*d - 7, 4*m + 14 = -2*d for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j + 2. Let o = 1 - -2. Let y be z(o). Let p be 60\/y + 10\/(-35). Solve 0 = 2*k + p*s + 20, 2*k + 17 = -4*s + s for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 64 = -4*i + i, -2*i = -4*v - 96. Let a = -23 - v. Solve -a*k = 2*k - 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i + 4. Let r be u(-10). Suppose 0 = -n + 5 - 38. Let l be r\/n - (-2)\/(-11). What is the third biggest value in -0.5, 1, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -15222297449287?\nAnswer: -15222297449287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1002801799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 838996 is divided by 3848.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 15\/4 of a decade?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14886698 (base 10) to base 15.\nAnswer: -1490d18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.74 - 0.26. Let m be 12\/3 + 124\/(-30). Sort v, m, 2 in descending order.\nAnswer: 2, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 5\/3 + -1*(-4456)\/12 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-15)\/9 - (-425)\/150\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*b - 20, 3*v - 5*b - 12 = -2*b. Suppose -4*d + 12 = -4*n, 4*n - 10 = -v*d - 3*d. Determine z so that 4\/7*z**d + 0*z - 4\/7 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -z + 5*v, 23*z = 20*z - 5*v - 37 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 1839*z + 6129. What is the thousands digit of g(13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10783, 41186, 91857, 162796, 254003?\n\"Answer: 10134*s**2 + s + 648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009646 rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 - 24. Suppose 2*v - 15 = -s*v. What is the units digit of (75\/12)\/(v\/12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2*(-3*2*sqrt(180) - 5*(sqrt(180) + 0)) + (sqrt(180) + -1 + -5 + 2*(0 + sqrt(180)))*1)**2.\nAnswer: -900*sqrt(5) + 112509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((70\/(-55))\/(-7))\/((-4)\/(-11))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2920\/7*g + 8\/7 + 266450\/7*g**2.\nAnswer: 2*(365*g + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-27)\/6)\/(-3))\/((-80)\/(-32))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228 = -p - 3*p. What is the remainder when p is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2505 divided by 28084.\nAnswer: -2505\/28084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1288 and 2.\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53 + 61. Let z be -4 + n + -1 + 4\/(-4). Solve -3*t + z = 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2950*l**2 + 1476*l**2 - 93*l + 3*l**3 + 1474*l**2 + 168*l.\nAnswer: 3*l**3 + 75*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.084, 2\/81, 32\/61 in decreasing order.\nAnswer: 32\/61, 2\/81, -0.084","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.2, 1\/174, 1, -306?\nAnswer: -306","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27.5 + -0.022396.\nAnswer: -27.522396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f = -26*f. Suppose 0*p + 4*p - 200 = f. Suppose -48*j + p = -43*j. Solve 4*g + j = 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 13. Let g = 32 - p. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 794, 5, 32, -5, 3, -2 in increasing order.\nAnswer: -5, -2, 2, 3, 5, 32, 794","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4170.\nAnswer: 2, 3, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 377623740 divided by -13\nAnswer: -29047980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 12:44 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -213*t**3 - 80*t**2 + 4*t - 4. Let m(y) = -639*y**3 - 238*y**2 + 11*y - 11. Let p(q) = -11*g(q) + 4*m(q). Find the third derivative of p(o) wrt o.\nAnswer: -1278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -19683 (b) 1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 6:22 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2576486 and 2739?\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5243 and 321.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (3\/5)\/3 - (-562908)\/3660 and 132.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00025535632 to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -1, -7\/43, -1\/15, -143 in descending order.\nAnswer: 0.1, -1\/15, -7\/43, -1, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 12 = 0, 8*n = 5*v + 5*n + 126. Let h(z) = 5*z + 139. Let y be h(v). Solve 7*w + 2 = 2*w + a, 3*w - y = -2*a for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 6*c = 9*c + 14, -3*w + 25 = 5*c for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7951?\nAnswer: 7951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/4594824 and 41\/464.\nAnswer: 266499792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rh when two letters picked without replacement from rhhrrhhhrmhm?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 9:21 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2259 divided by -3.\nAnswer: -753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(34)\/(sqrt(242) - sqrt(242)*-3))**2.\nAnswer: 17\/968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 5 (b) 2 (c) -3\/683 (d) -3 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8996737688 to five decimal places.\nAnswer: 0.89967","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 154381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -310.68 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 20*u + 2. Let p be ((-10)\/20)\/((-2)\/8). Does 29 divide k(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -9. Let a(b) be the first derivative of b**4\/4 - 5*b**3\/3 - 7*b**2\/2 + 6*b + 15. Let x be a(6). Solve 3*c - n*r + 2 = 0, x*c + 2*c = r + 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 267642064 to the nearest integer?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 3\/7, -7287, -33, 2?\nAnswer: -7287","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and (154\/33)\/((-2)\/(-12)).\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 245*y**3 - 3*y**2 - 2*y + 1. Let k be f(2). Let u = k + -936. List the prime factors of u.\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence re when two letters picked without replacement from drderlrrr?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 92 - 134. Let t be (14\/v)\/((-1)\/(-3)). Let i be 3\/9 + (-33)\/18. Sort t, i, 5 in descending order.\nAnswer: 5, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**2 - 11*l + 6. List the prime factors of t(5).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/8)\/((-15)\/(-20)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 4:32 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 298951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/2*(-3)\/(7 + 2)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*q. Suppose 1 + 0 = w. Let o(t) = t**3 + 11*t**2 + 11*t + 15. Let z be o(-10). Which is the nearest to q? (a) z (b) -2\/7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -932, -2670, -42, 4 in descending order.\nAnswer: 4, -42, -932, -2670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23412335?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 463 = -79*d + 65*d + 15. Put d, 3, 22 in increasing order.\nAnswer: d, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -608 * -1.\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**(-15)*c)\/c)\/c)**(2\/3))**(2\/23) assuming c is positive.\nAnswer: c**(-64\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/4*(19520\/183)\/32.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z + 9*z + 2 = -q, 4*q = -z - 8 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 19 = l, -4*c - 19 = -2*l - 1. Let x(s) = 8*s**2 + 1. Let o be x(l). What is the least common multiple of -1 + o + (0 - 0) and 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6cc794 (base 14) to base 2.\nAnswer: 1110001100110001111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -15\/4*c**4 - 5*c**2 - 35\/6*c**3 - 1\/6*c**6 + 0 + 9*c - 5\/4*c**5. Suppose f(w) = 0. What is w?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -2.39, 0.2, 45, 2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/15 (b) 1\/6 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 257681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4040 and -0.1.\nAnswer: -4040.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 - 21. Suppose 1 + 0 = p. What are the prime factors of -67*(j + (-3 - p))?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.454939 months to decades.\nAnswer: 0.245457825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 342044 = 24*f - 3695260. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 16*n**2 + 2*n + 1. Let q be k(-1). Suppose -13 = -4*j + q. Suppose 6 = 3*l, -4*v + j*l = 2*l - 222. What is the remainder when v is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690384640 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: Suppose 1278 = -i + 7*i. Put 2, i, -2 in increasing order.\nAnswer: -2, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d + 10. Let p be w(-10). Let i = 80 - p. Does 15 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00030417771 rounded to five decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59*17673.\nAnswer: 1042707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11573 and 213.\nAnswer: 34719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -270*y + 251. What are the prime factors of k(-6)?\nAnswer: 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 103*f - 27. Let v(z) = 1235*z - 325. Let a(n) = -25*i(n) + 2*v(n). Let m(p) = 8*p - 2. Let d(u) = 3*a(u) + 40*m(u). Does 4 divide d(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 207468, 207462, 207456, 207450, 207444, 207438?\n\"Answer: -6*f + 207474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 145*d**2 + d + 7. Is p(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*n + 5*n**4 + 3*n**2 - n**2 - 7*n**4 as k*n + w + j*n**3 + m*n**2 + x*n**4 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -h + 4*r, 15*h - 3*r = 10*h - 22 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5303872204 take away -740?\nAnswer: -5303871464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 0) + (-30 + 3 - -7 - -64)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, w: 8, f: 1, s: 2}. Give prob of sequence qs.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6184602 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (336\/18)\/(1\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 - 2 - -268*(-25)\/(-10).\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 + 20. Suppose -j**4 + 4*j**4 + j**4 + 0*j**k - 4*j**3 = 0. Calculate j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2 = -0. What are the prime factors of ((-34)\/s)\/(-2 - -3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64 - -59.9. Let m = 0.1 + g. What is the third biggest value in -0.5, m, -1\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4 = 2*n, -2*i + 8 = 4*n. Suppose 0*y + 4*y = -28. Let m = 10 + y. Solve i = m*x - x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -363*j*z**3 + 2*j*z + 4*j + 14*z**3 + 243*z**2 wrt j.\nAnswer: -363*z**3 + 2*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 11) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -375*q - 253*q - 162*q.\nAnswer: -790*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11919 or -17?\nAnswer: -11919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.1, -4, 5, 1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*b = -64*b + 15600. Suppose -4*q - 3*v = -9*q + b, -4*q + 4*v = -496. List the prime factors of q.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 115\/5446, -2, 2, -5, -3?\nAnswer: 115\/5446","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59274204 - -0.3.\nAnswer: -59274203.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*w**3 - 27*w + 25*w**3 - 50*w**3 as f*w + j*w**3 + c + v*w**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 15, -79 in descending order.\nAnswer: 15, 2, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 670 and 134.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**2 + 2*u - 17*u**2 + 52*u**2 - 37*u**2.\nAnswer: -7*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = j, -2*y + 1 - 3 = 2*j. Let z(h) = 16 + 7 - 41 - h + 17 - h**2. Let t(n) = -n - 2. Give y*t(a) - 2*z(a).\nAnswer: 2*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n + 0*n + n - 55*z + 58*z + 18 = 202, -10 = 5*z for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22302323233 - -3?\nAnswer: 22302323302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3282 is divided by 656.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -327 by 3.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 x when two letters picked without replacement from olobollooolbxxoboo?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -53 * -4\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2806 + -19640\/7. Let g = 0.7 + -3.1. Which is the second smallest value? (a) 2\/13 (b) t (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7924628?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/18 - (-1803)\/27. Suppose 2*g + 3*x + 171 = 0, 258 = -g - 2*g - 4*x. Let n = h - g. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1159319 litres in millilitres?\nAnswer: 115.9319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -31 divided by -8450\nAnswer: 31\/8450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1161 and 10089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47*d**3*u**4 - 6*d**3 + 4*d*u**4 + 33*u wrt u.\nAnswer: -564*d**3*u**2 + 48*d*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/9)\/((-22)\/198). Let i be (-57)\/(-126) + d\/(-18). Which is the third smallest value? (a) i (b) 3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37 - 26) + (-151 - (-14 - (-22 - -5)))?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*w + 517*w**2 - 3 - 260*w**2 - 260*w**2 to f*w**2 + s + q*w and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -3) + -6 - (-4 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*n = 43*n + 3*m + 168, -2*n + 5*m + 52 = 0. What is the least common multiple of 18 and n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from msgmqqsp. What is prob of picking 1 q and 2 s?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of t**3\/6 + 2*t**2 - 2*t. Let s be q(-4). Let z(j) = 0*j + j + s*j. Let i(r) = -2*r**2. Give i(z(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43845.313 - 33.\nAnswer: 43812.313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*(8 - 350\/42)\/(-12).\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-142*f**3 + 18357*f - 18357*f)*(f + 3*f - 2*f).\nAnswer: -284*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 6*g - 22. Let j be w(-9). Suppose h - 4*y = 22604, -j*h - 3*y = 2*y - 112995. Round h to the nearest one thousand.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -374 + 401. Suppose 21*d = i*d - 102. What is the remainder when 339 is divided by d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 20*a**3 - 263*a**2 + 6*a - 6. Let i(o) = -o**2 + o - 1. Let r(y) = c(y) - 6*i(y). What is the third derivative of r(s) wrt s?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -127 - 2*x**2 + 127 - 5*x. Let v(h) = -h**2 - 4*h. Let d(f) = 5*v(f) - 4*z(f). Let i(m) = -5*m. Determine i(d(s)).\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(96) - sqrt(54)*-1)\/(sqrt(98)*-1 + sqrt(16)\/sqrt(2)).\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 15. Let q be -1*k\/(-3) - 2. Is q < 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 498739810?\nAnswer: 2, 5, 1151, 43331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8816758?\nAnswer: 2, 83, 53113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 13*n**2 + 13*n. Let z(c) = -7*c**2 - 7*c. Let s(k) = -k - 5. Let l = -6 + 6. Suppose -3*r + 0*r + 18 = l. Let a be s(r). Give a*z(v) - 6*u(v).\nAnswer: -v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/(-10) - 2\/5. Let t be q*0*3\/12. Suppose t = 2*a - 3*a. Solve a = 4*o + 2*p - 14, 5*o + 2*p = p + 13 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -849 + 852. Which is the second smallest value? (a) -121 (b) k (c) -2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/(-375)*(-9)\/3.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 133784, 267562, 401340, 535118, 668896?\nAnswer: 802674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 174850 (base 9) to base 6\nAnswer: 2154413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 7. Let m(w) = -w + 9. Let l be m(4). Suppose 2*f = x*f - l. Calculate the remainder when f is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 + -18. Calculate the remainder when (-522)\/(-16) - (-78)\/208 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.96 - -6.16. What is the nearest to 2 in -61, 1\/3, q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of 0*a**3 + 0*a**6 + 0*a**5 + 0*a + 3*a**2 + 0*a**7 + 0 - 5\/24*a**4 + 1\/21*a**8. Find the second derivative of t(v) wrt v.\nAnswer: 320*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 6*v. Let x be q(6). Let p = x - 48. Does 8 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(209)\/(-5*-4*sqrt(11) + sqrt(11) - sqrt(11)))**2.\nAnswer: 19\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/30*-2)\/(266\/95)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -135*m**2. Let s(g) = -8*g**2 - 2. Let i(h) = -33*h**2 - 9. Let n(k) = -2*i(k) + 9*s(k). Determine z(n(y)).\nAnswer: -4860*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*v + 33. Suppose 3*o = v + 10. Solve 2*g - 10 = -2*t, -o - 2 = -4*g + t for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 232 - 246 = -6*b, g = -b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18372077\/9 or 2041341?\nAnswer: 18372077\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 56487.01 millennia?\nAnswer: 5648701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -305617.8935 to the nearest one thousand.\nAnswer: -306000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -129 (base 15) in base 2?\nAnswer: -100001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 132*j*v**4 + 25*j*v**2 - 14*j + 3*v**5 wrt v.\nAnswer: 3168*j*v + 180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c - 30?\nAnswer: -3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 4 = 3*v. Let b be (5 + -9)\/(3\/(-72)). Is (b\/(-20))\/(v\/5) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 6*a**2 - a - 2. Suppose 2*z - 24 = 6*z. Let r be l(z). Let d(u) = -u - 10. Let s be d(-13). Solve 4*o - 5*o = -4*j + 5, o = -r*j + s for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187549022 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450)*-5)\/(sqrt(10) + sqrt(10) + 5*sqrt(90)).\nAnswer: -15*sqrt(5)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*a - 4. Suppose 56 - a = 4*z. Let f = z + -9. Is 1\/8 <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238392 a multiple of 301?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1399 is divided by 100?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2.796 + 1.88\nAnswer: 4.676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -60 + 60 - 59*s**5 + (0*s**2 + 0*s**2 - 2*s**2)*(2 + 1 - 2)*(-5*s**3 + 2*s - 2*s).\nAnswer: -49*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/3*225\/(-50). Suppose -2*v + 514 = -4*r, r + 776 = u*v - 0*r. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 1:51 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 565343.1nm to kilometers.\nAnswer: 0.0000005653431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60926551?\nAnswer: 7, 937, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27650 + 27506 = -12*o for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y - 13. Let v be d(12). Let f be 0 + ((-80)\/38 - -2). Which is the second biggest value? (a) f (b) -1\/2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (81*(-435)\/(-147987))\/((-105)\/28*2\/(-35))?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -24, 8, -2\/7, -111, -3\/2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 14) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 8. Let b be (21\/14)\/((-6)\/(-112)). Suppose 4*t = -2*p + b + 2, -3*p - 3*t + 39 = 0. What is the remainder when p is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 24 = -2*n, -36 = 12*n - 15*n - b. Let g = 1.6 + -2. Let p = -5 - -8. Sort g, p, n in descending order.\nAnswer: n, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-1\/3)*i)\/(i*i**(1\/4)\/i))\/(((i*i**(5\/4)*i*i)\/i)\/i*i**8))\/((i**(-2\/9)*i**8)\/((i*(i*i*i*(i\/i**(2\/11))\/i)\/i)\/i**(-2))) assuming i is positive.\nAnswer: i**(-2533\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*k - n, 94*k - 107*k + 97 = -4*n for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/7))**(-28)*((y\/(y\/(y**(2\/9)\/y))*y*y)\/y)**(-1\/4))**(22\/5) assuming y is positive.\nAnswer: y**(-319\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -36286763 and 50.\nAnswer: -36286713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 2*o - 4*o)*(-o + 2 - 2 + (23 - 23 - 2*o)*(29 + 74 - 184)).\nAnswer: -322*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 579 a factor of 317444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -540\/7*o**2 - 192\/7*o - 16\/7.\nAnswer: -4*(9*o + 2)*(15*o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2537113318.\nAnswer: 2, 1268556659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45425, 45426, 45427, 45428?\nAnswer: 45429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 153170?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228 = 8*s - 0 - 172. Solve 16*q + 9*q = s for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 64940740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 - 4*i**2 + 5*i**2)*(4 - 4 + 3*i) + 43*i**2 - 43*i**2 - 56*i**3.\nAnswer: -47*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4) + -4*sqrt(64))\/sqrt(2).\nAnswer: -15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 296 and 144.\nAnswer: 5328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 4 = 5*a. Suppose 5 = -c, 0 = a*r - r - 5*c - 26. Let q be 10*(0 - 4\/(-10)). Calculate the greatest common factor of q and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 78 = 198. Let y be 80\/g - (-1)\/(-3). Is 2 at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 226970?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 4*m**3\/3 + 9739*m**2 + 145785*m = 0?\nAnswer: -29157\/4, -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 1:31 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 590, 349, -74, -679, -1466?\nAnswer: -2435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107297*m - 107297*m - 5*m**2.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -38676?\nAnswer: -1\/9669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-25057)\/(-32) - (-84)\/(-2688) is divided by 50?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/13 or 0.029?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zibw when four letters picked without replacement from {z: 2, w: 1, i: 5, b: 1}.\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, l: 4, y: 5}. Give prob of picking 1 y, 1 s, and 1 l.\nAnswer: 25\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -2, -68 in descending order.\nAnswer: 2, 0, -2, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of u**8\/420 - u**5\/60 - 5*u**3\/3 + 9*u. Let a(z) be the second derivative of k(z). Find the second derivative of a(m) wrt m.\nAnswer: 48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k + 471299. Let z be l(0). Suppose -3*a + 41701 = -z. Suppose 8*i - a = 7*i. What is i rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f**2 - 26*f. Let r(g) = -2*g**2 + 13*g. What is 5*r(k) + 2*s(k)?\nAnswer: -4*k**2 + 13*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(-5\/3)*j\/(j**12*j))**(-8) assuming j is positive.\nAnswer: j**(280\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 3856?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/(-712)*(-53)\/((-954)\/4)\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p + 6. Let f be y(11). Let a be 5\/15 - f\/(-6). What are the prime factors of 47 + (a - 2) + -2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -3*q - 33, q + 16 + 24 = -92*g + 101*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 3*j + 8489*r + 40 = 8494*r, -39 = -5*j - r + 1 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 881*h**3 - h**2 - 8*h - 8. Let z(m) = -1763*m**3 + 2*m**2 + 14*m + 14. Determine 7*y(w) + 4*z(w).\nAnswer: -885*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 25\/30 - (-39)\/18. Sort -4, i, 35 in increasing order.\nAnswer: -4, i, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 3:46 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145 = 72*w - 35 + 106 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 0*k**3 + 0 + 0*k**2 - 11*k + 0*k**4 + 0*k**5 + 1\/15*k**6 - 1\/21*k**7. Determine a, given that l(a) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-2 + 8 - -5 - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -319418, -638838, -958270, -1277720, -1597194, -1916698, -2236238, -2555820?\nAnswer: -2875450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19 and 22667.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66639 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*n + 45*n**3 - 113 - 7*n - 3*n wrt n.\nAnswer: 135*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -468*a - 59 + 40 + 19 in the form v + d*a and give d.\nAnswer: -468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i - 3. Let t be w(6). Suppose -30 = 4*p - t*v, -2*p + 0*v - 14 = -v. Let u = 4 - p. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 35 = -25*u - 5*g, -u + 3*g + 11 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkah when four letters picked without replacement from {h: 2, k: 9, q: 1, a: 4}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5002\/(-2196) - (-5)\/2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*j + 23*j + 1520 = 0. Solve -2*y + 30*o - 26*o = j, -15 = 4*y - 3*o for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -6*p - 12. What is the units digit of g(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100100010001 - 1010011?\nAnswer: -100100101100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 756 = 5*u - 0*u, -5*u + 759 = d. Suppose 3*n + n + l - 37 = 0, 5*l + 40 = 5*n. Calculate the remainder when u is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o - 16390 = 11*o. Suppose -58*m = -53*m - o. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2322800642 rounded to 3 decimal places?\nAnswer: -0.232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -15*a + 6. Let d(h) = 8*h - 3. Let b(n) = 11*d(n) + 6*x(n). Let k be b(-3). Let o be 4\/6 + 57\/k. Solve 0 = -3*m - 5*t - o, 2*m - 5*t - 3 = 9 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (104 - 209 + 20*g + 108 - 3*g**2)*(-4 + 4*g + 4 + (1 + 0 - 2)*(3 - 3 - g) - 4*g + 3*g + 3*g + 5*g - 3*g - 4*g + 2*g - 1 + 1).\nAnswer: -21*g**3 + 140*g**2 + 21*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**3\/7 + 64*o**2\/7 - 314*o\/7 - 900\/7 = 0. Calculate o.\nAnswer: -2, 9, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4461047?\nAnswer: 4461047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/9)\/(r*r**(1\/3))*r*(r\/(r\/(r*r**(2\/35)*r)*r))\/r*r\/(r*r**(-8)))**39 assuming r is positive.\nAnswer: r**(32539\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.59895948 - 91.2127.\nAnswer: -92.81165948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4.0187 times -7\nAnswer: -28.1309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 87, 0.9, 0.1 in decreasing order.\nAnswer: 87, 0.9, 0.1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -12*o**3 - 7*o**2 + 6*o + 1. Give c(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 117527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (40\/12)\/5*(-10995)\/(-40). Let m = 1445\/8 - f. Which is smaller: m or -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -bd3 (base 16) to base 9\nAnswer: -4133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 23853, 5, 6.\nAnswer: -4, 5, 6, 23853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2621, 2647, 2721, 2867, 3109, 3471?\n\"Answer: 4*i**3 - 2*i + 2619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 15*f**2 - 12*f. Let k = -1 + 17. What is the units digit of m(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 33, 51, 87, 147, 237?\n\"Answer: i**3 + 3*i**2 + 2*i + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -6, -3*y + 3*m = -y - 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (484\/66)\/(4\/6). Suppose n - c = 15. Calculate the remainder when n is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + h**2 - h + 2. Let x be p(-2). Solve -i + 3*i + 8 = x for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2946229?\nAnswer: 11, 13, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 31 + 6\/(-14) + (-44)\/28. Let u = j + -25. Sort 0, -3, 2, u in decreasing order.\nAnswer: u, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(1\/((-8)\/(-10))*26808\/(-33510))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**2\/5 - 258*s\/5 - 524\/5 = 0.\nAnswer: -2, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 966 divided by -6\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -21*n**3 + 11*n**2 - 11*n - 39. Let g(q) = -4*q**3 + 2*q**2 - 2*q - 8. Calculate -22*g(k) + 4*s(k).\nAnswer: 4*k**3 + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43006, -13, 31 in increasing order.\nAnswer: -13, 31, 43006","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -98*d**2 - d - 3. Let k(z) = -292*z**2 - 3*z - 10. Determine -2*k(h) + 7*x(h).\nAnswer: -102*h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 432?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/14 and (-3)\/6 - (-23)\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -267 and 2.\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 3 = -10*r. Let p be 223 - (4 - 7 - r). Calculate the greatest common factor of p and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225*p + 1680 = -217*p. Let h be (-623)\/p*2 - (-2 - 4). Let q = 13 + -8. Is q bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*x + 411 = 57. Let m(o) be the first derivative of -4\/5*o**5 + 8 + 0*o**2 - 5*o + 0*o**x + 0*o**4. Find the first derivative of m(j) wrt j.\nAnswer: -16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20387 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: Which is the closest to 1? (a) 308848 (b) -1 (c) 2\/19 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -515*c + 1491*c + 220*c**2 - 488*c - 488*c.\nAnswer: 220*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*h + 606, h = 5*c - 2*h + 2961. Calculate the common denominator of 3\/(21*12\/c) and 99\/314.\nAnswer: 2198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1522, 1521, 1520, 1519, 1518?\nAnswer: 1517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -20 + 2. Suppose -4*t = i - 1 - 45, 2*t - 38 = -i. Let g be (-18)\/(-5)*i\/p. Calculate the highest common factor of 48 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00090126048 rounded to 6 decimal places?\nAnswer: -0.000901","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 494 - 141 = 2*d - a, 5*a = 4*d - 709. Suppose 12*w - d = w. What is the remainder when 46 is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 5:44 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.59 times 454\nAnswer: 267.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**4 - 29865*d**3 + 269055*d**2 - 807435*d + 807570.\nAnswer: -5*(d - 3)**3*(d + 5982)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**4 - 13*w**3 - 63*w**2 - 78*w - 36. Let v(d) = 2*d**4 + 14*d**3 + 62*d**2 + 78*d + 36. Let s(r) = 4*j(r) + 5*v(r). Factor s(b).\nAnswer: 2*(b + 1)*(b + 2)*(b + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 23709?\nAnswer: -23709.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) -2 (c) 0.2 (d) 0.03 (e) -0.374\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7d (base 15) to base 8\nAnswer: -166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 98.5.\nAnswer: -295.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53 (base 8) to base 10.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 8:05 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**4\/5 - 466026*r**3 + 452461148199*r**2\/5 - 180983061204*r + 452456487948\/5.\nAnswer: 3*(r - 388354)**2*(r - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 r when two letters picked without replacement from skrseseszrzrzsv?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 227*x - 231*x = -252, 3*z + 2*x = z + 114 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2707 is divided by 33?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iigrmm. What is prob of picking 2 m and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111101011000 - 1010?\nAnswer: -1111101100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-1)*246\/410*4\/(-3)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-2 + 5 + 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*v - 44, 5 = 7*v - 6*v. Calculate the greatest common divisor of a and 1026.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/5 in 4, 2, -1, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 1)*(4*t - 59 + 59)*(-2*t**2 + 0*t**2 + 5*t**2).\nAnswer: -24*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -67*n**4\/3 - 261*n. Let s(m) = -10*m. Calculate s(w(k)).\nAnswer: 2680*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22147 - 3?\nAnswer: -22152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-18) + 281\/93573*38036\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - ((-3)\/5 + (-527)\/155)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*r = -100*r + 8. Let b = 0.205 - 2.205. Put r, -0.3, b, 1 in descending order.\nAnswer: r, 1, -0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x**3 + 22*x**2 - 55*x - 13. Is h(20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.12 + 0.12124. Round u to 4 dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242)\/(-2*sqrt(891) + sqrt(891)))\/(sqrt(128) + ((sqrt(128) - (-2*sqrt(128) + sqrt(128)))*4 - sqrt(128)) - sqrt(128)).\nAnswer: -sqrt(11)\/504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 72980537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-9)*6\/(-2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/44251300 and -71\/175.\nAnswer: 309759100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*s**5*u - 6*s**4 + 20*s**3*u**2 - 123*s**2*u**2 wrt s?\nAnswer: -120*s**2*u - 144*s + 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -514\/3, -1, 3\/8, -0.01, -5 in decreasing order.\nAnswer: 3\/8, -0.01, -1, -5, -514\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (156\/20 - 3)*(-20)\/(-6). Suppose -4*p + s*k + 24 = 18*k, 3*p + k = 16. Calculate the smallest common multiple of p and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -108*i + 16464. Determine o(148).\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2, 2626, 5250?\n\"Answer: 2624*b - 2622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1049, -2138, -3227, -4316?\nAnswer: -5405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-10))\/((-1102)\/(-95) - 12) - 392\/40\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 648930131\/957 - 678088. Calculate the common denominator of -40\/33 and v.\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 13 - 11 = -2*u, w - 2*u - 14 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = o - 24, -71471*h + 56 = 4*o - 71475*h for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -329 + 21 = 5*b + 4*r, 4*r + 8 = 0. Let v be (-6)\/b*0 - -4. Find l, given that 1\/5*l**3 + 2\/5*l**v - 2\/5*l**2 + 0 - 1\/5*l**5 + 0*l = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-7)\/(w\/(w\/(w\/(w**(-5)\/w*w)))*w))\/((w**(-2\/5)\/w)\/(w**7*w*w)) assuming w is positive.\nAnswer: w**(-18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 21*n + 25. Let t be u(-20). Suppose -t*f + 1476 = 7*f. Let d = f + -35. What are the prime factors of d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98\/(-539) - (2 + 196\/(-110))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13396249 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -40694727 and 117.\nAnswer: -40694610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 320 and 152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 953 divide 76057977?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/10388 and 173\/30.\nAnswer: 155820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -429*t - 8. Let w = 584 - 587. What are the prime factors of l(w)?\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 731 = 2*j + 2*j, -4*r = -5*j + 925. Let c = j - 1320\/7. Let i = 0 - -1. Which is greater: c or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 75738638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of 0*n + 0*n**3 - 4*n**2 + 0*n**5 - 1\/8*n**4 + 1\/24*n**6 + 0. What is the second derivative of o(b) wrt b?\nAnswer: 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-1\/2)*j*j)\/(j\/(j\/(j*j\/(j*j**(-4\/7)*j)*j))))**(-2\/3))**(-37) assuming j is positive.\nAnswer: j**(481\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001532 rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10 + -20)*3\/(6\/(-5)). Let f be ((-4)\/(-5))\/(10\/l). Suppose f = 3*z - 151. List the prime factors of z.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/12)\/(-17 + 777\/42)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 8, s: 3}. What is prob of sequence sw?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57*o**3*q**2 - o**3*q - 30*o**2*q**3 - 10611*q wrt q.\nAnswer: -114*o**3 - 180*o**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/11 < -208732037?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llkddkkklllll. What is prob of picking 1 d and 3 l?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 162224598 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -330042, -330062, -330048, -329982, -329846?\n\"Answer: 3*q**3 - q**2 - 38*q - 330006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115 = -5*k - 5*t, -4*k - 67*t + 72*t + 133 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 32*u - 137. Let o = 267 + -228. What are the prime factors of m(o)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25480 divided by -7\nAnswer: -3640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(4\/(-1)))\/((-1)\/(-5))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3 + (234\/(-351) - ((-185842)\/6 - -2))?\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*12\/(-3) - 0. Let p(l) = -l**3 - 4*l**2 - 5*l - 4. Let f be p(r). Find the third derivative of -7*b**5 - 2*b**5 - 26*b**6 + 9*b**5 - f*b**2 wrt b.\nAnswer: -3120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/(-10)*6)\/((-44)\/(-9020)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a**4\/5 + 9518636*a**3\/5 - 3807460*a**2 - 28555932*a\/5 = 0. Calculate a.\nAnswer: -2379661, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 2 - 12) + -16 + 1.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + (-6 - 150*(-28)\/(-70)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 - 390*j + 37248.\nAnswer: -3*(j - 64)*(j + 194)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 706*a**3 - 341*a**2 - 656*a**2 - 1037*a + 892*a**3 + 1037*a wrt a.\nAnswer: 9588","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.79 * 172.\nAnswer: -135.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + p**2 - p**2 - 13*p**2 - 25*p + 25*p + 0*p + 0*p + p**2 + (-3*p + 3*p - 2*p)*(0*p - p + 0*p))*(-p - p + 4*p).\nAnswer: -18*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kpkpajkjkpekpaap. Give prob of sequence jpa.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/6, 12, -656?\nAnswer: -656","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 57213106202339 and 6.\nAnswer: 57213106202345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 87 + 108 - 168 + 5*p to the form j*p + r and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, h: 1, u: 3, d: 5, a: 3, z: 1}. Give prob of sequence da.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1578 - 3157 + 2*h + 1579.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/7644 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75100120?\nAnswer: 2, 5, 1877503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62365 divided by 5.\nAnswer: -12473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7245*p - 7108*p = -2055 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (1188\/66 + 10*-4)\/(0 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/90360 and 77\/171684.\nAnswer: 1716840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -74997 in descending order.\nAnswer: 4, 2, -74997","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of (((-2)\/(-4) + 1)*134)\/(77\/3388)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - n + 50898748. Suppose n = -13*s - 35765313. What is s rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5682247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 23*c + 60. Calculate the common denominator of 95\/14 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -35, -43, -53?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3144*-0.02.\nAnswer: 0.006288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-130)*(3 + -1)\/((-6)\/3)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 1:26 PM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9360*l**5 - l**3 - 30*l**2 + 5914*l - 55.\nAnswer: -187200*l**3 - 6*l - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 46*m + 16. Let b(j) = -j + 1. Let d(h) = -3*b(h) - c(h). Let o be d(20). Is (-4)\/6 - o\/9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 10 = 5*g, -51*g + 8 = -47*g - r. Let o be (-12)\/54 - 528\/(-189). Factor -o*w + 3\/7*w**g + 24\/7.\nAnswer: 3*(w - 4)*(w - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1291 - 0.205.\nAnswer: -1291.205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + (-264)\/(-55)*(-5)\/(-3). Is q smaller than 45\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -470150820 divided by 4.\nAnswer: -117537705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b00a - 92?\nAnswer: -b0a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 2:08 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 20 - 9 + 2*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-39))**(-5)\/(r*(r\/r**(-3\/14))\/r*r*r\/r**(3\/2)) assuming r is positive.\nAnswer: r**(1353\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*5*16\/(-5). Suppose -o + i = 4*x, 2*x = 5*x + o - 25. Suppose 2*b = a - 0*b - 20, -4*b - 10 = a. Calculate the smallest common multiple of x and a.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -6411268.\nAnswer: -2564507.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1283*c**2*h - 2*c**2 - 20*c*h + 5*c + h wrt c.\nAnswer: 2566*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*n = -20*n + 680 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-8 - 1683\/(-216))\/((-4)\/54) and -25\/226?\nAnswer: 1808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-3 + (5 + sqrt(147) + 5 - (sqrt(147) - ((sqrt(147)*4 - sqrt(147)) + 3 + sqrt(147)))))**2 + 4.\nAnswer: 560*sqrt(3) + 2461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -607110 * 444.\nAnswer: -269556840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 2:35 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1548 and 37955928?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 9. Let p = 0.44 + -3.34. Let v = p - n. What is the biggest value in -0.2, v, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 28 - 24 = h, -4*u + 16*h = 64 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/7, 1\/52, 0, 0.0684?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -41*s + 741. What is the greatest common divisor of s and 437?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 98 - 63. What are the prime factors of c?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/13)\/((-269558)\/(-33059))?\nAnswer: -4\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mg when two letters picked without replacement from mgiph?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 187.86057 months to centuries.\nAnswer: 0.156550475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4552*l = 5546*l - 30814 for l.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2855?\nAnswer: 5, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - -0.8. Let f = -0.54 - 0.06. Let g = f - q. What is g rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -183 + 4462.\nAnswer: 4279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5600 = -19*w + 27*w. Suppose 110945 = 705*n - w*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**30)\/(n\/(n\/((((n*n\/(n*n\/n**43))\/n)\/n)\/n))*n*n)*(n\/(n\/(n**(-17)\/n)))**(-38) assuming n is positive.\nAnswer: n**673","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 22*t**2 + 4674. Let m(i) = -5 + 4 + 1 + 2*i**2. Determine m(j(k)).\nAnswer: 3872*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/(-6)*(-82)\/205. Which is the closest to -39? (a) -2\/5 (b) x (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, l: 8}. Give prob of sequence ddll.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qptfpno. What is prob of sequence po?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8989 is divided by 530.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 2 + 2*q + 0*q)*(-q**2 + 0 + 0) - q**3 + q**3 - q**3.\nAnswer: -2*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h + 9. Let l be c(15). Let i = 10 + l. Suppose 3*d + 6 = -5*m, 0 = 2*m - 5*d + 21. Put 1, i, m in descending order.\nAnswer: i, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k + 11. Let p be a(-9). Suppose p = l - 2. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3535 + 3535.002933. What is i rounded to four dps?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t**2. Suppose 0 = -j - 2*r - 1, -j = 2*r + 3*r - 8. Let a(o) = 3*o. Let k(f) = 3*f. Let q(z) = j*a(z) + 6*k(z). Calculate h(q(v)).\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.3 + -0.3. Let z = 298.6 + -298.5. Sort 6, h, z, -1 in decreasing order.\nAnswer: 6, h, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s = 6*s + 1524. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 24*x - 72. Let s(l) be the third derivative of 3*l**4\/2 - 18*l**3 + 38*l**2. Let w(o) = -8*f(o) + 5*s(o). Differentiate w(y) wrt y.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((1*sqrt(6776) + 2*sqrt(6776))*-2)\/((sqrt(72) - sqrt(72)*2*5)\/((sqrt(81)*-2)\/sqrt(9))).\nAnswer: -44*sqrt(7)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 22 = -2*a + 3, 5*a + 15 = -l for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f**2 - f**2 + f**2)*(-8 + 8 - 12*f**2)*(-58 - 21 - 2) to n*f**2 + z*f**3 + x*f**4 + v*f + k and give x.\nAnswer: 1944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = -4*j - 85. Solve j*i - 18 = 33 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-54)\/15 - -6)*1\/38. Let z = s - -412\/95. Calculate the common denominator of z and -49\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 1365 = 4*k. Let y be 2314\/k - 4\/(-30). Calculate the greatest common divisor of y and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 5*s + 40 = 0. Let l be (s\/8)\/((-5)\/(-4)). Suppose y + 0*r + 3*r - 45 = 0, -90 = -l*y - 3*r. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.08, 1970, 92?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -120 - -125. Let k(y) = -2*y + 13. Let r be k(z). Solve 7*p + 5 = r*p + u, u + 3 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 298*s**2 + 299*s**2 - 3.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-12))\/(2\/12*-1). Let j(d) be the second derivative of 0 + d + 1\/12*d**4 + 0*d**f + 1\/40*d**5 + 0*d**2. Determine m so that j(m) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1150820)\/275*(-25)\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 350978.5mg to nanograms.\nAnswer: 350978500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.6, -0.1, 26, -2\/15, -11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/12 - 1\/4. Suppose 0 = -3*c - 9 - 6. What is the nearest to v in c, 4\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -4003298.4683 and -6.3.\nAnswer: -4003304.7683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -96678 + 5?\nAnswer: -96673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 671 + -672.076. Let k = r - 0.064. Let p = -1.6 - k. Round p to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*v**2 + 20*v**2 - 15*v**2.\nAnswer: 43*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p - 3*p + 5*p)*((-2 + 0 + 1)*(3 + 3 - 7) + (-1 + 2 + 1)*(267 - 86 + 437)*(5 - 5 - 1)) as u + o*p and give o.\nAnswer: 1235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrgrgrrggrrergrgrrg. Give prob of picking 2 g.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/4 and -4\/131.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v = -203 + 167 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-44))\/((-15)\/(-4))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b*d**3*v + 22*b*d*v + 38*b*d - 181351*d**3 + 47*d*v - 392*v wrt v?\nAnswer: b*d**3 + 22*b*d + 47*d - 392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/5*a + 0 + 3\/5*a**5 - 6\/5*a**3 + 0*a**2 + 0*a**4 = 0. Calculate a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1932?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 195030, -2 in decreasing order.\nAnswer: 195030, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 3:56 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/15)\/(((-46)\/(-2185))\/(6*2\/76)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 7*b**2 + 431*b + 35. Let l(j) = -3*j**2 - 212*j - 14. Let t(u) = 5*l(u) + 2*z(u). Let y(f) = 2*f. Calculate t(y(i)).\nAnswer: -4*i**2 - 396*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0.3 (b) -572 (c) -2\/357 (d) 4 (e) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**3 - 2*n - n**3 + 5*n**2 + n**3 - 4*n**2 in the form y*n**2 + g + h*n**3 + r*n and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + v - 11. Let b(i) = i**2 - 7*i + 12. Let a be b(4). Calculate r(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 197722897?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*15\/225*40\/((-160)\/(-78)).\nAnswer: 39\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 535408?\nAnswer: 2, 109, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 81 + -36 + -53 - (0 - 0 - (2 + 36))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/14 and 127\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 17*k = 13 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46851?\nAnswer: 3, 7, 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1350 = -5*w + 4165. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-2))\/(-3)*6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**5 - 564*h**4 - 47178*h**3 - 1027360*h**2 - 4275432*h + 36705312 = 0 for h.\nAnswer: -126, -17, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*t - 429 = -3*o, 281056 = 5*t - 3*o + 281077 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12.16 + -12.46. Let x = 3.8 + -23.8. Let m = -9 - x. Which is the third biggest value? (a) j (b) m (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2119.\nAnswer: 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 146800 divided by -40\nAnswer: -3670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 134 - 2*r + 159 - 299. Let y be (0\/2 + 6)*-1. Let g be 6*(-3)\/y - 9. What is k(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, a: 1, y: 1}. Give prob of sequence ya.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5199370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2388 - -2387.98858. Round k to four decimal places.\nAnswer: -0.0114","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/3*2)\/(266\/(-171)). Which is the closest to 1? (a) t (b) -0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-2*sqrt(1008) - sqrt(1008)) + (-1 + sqrt(1008))*1 - (-5*-1*sqrt(1008) - (-2 + sqrt(1008) + 2)))**2.\nAnswer: 864*sqrt(7) + 36324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -727764*g**2*j**2 + 3*g**2*j + 11*g**2 + 171944*g*j**2 + 4*g - 5*j**2 wrt g.\nAnswer: -1455528*j**2 + 6*j + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4*w + 5*w - 3*w)*(1 - 3 - 1) + w + 0*w + w + 2*w - 2*w - 3*w)*(2*w - 3*w + 0*w) to q + y*w + f*w**2 and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 14. Let d(l) = l**2 + 6*l - 1. Let j be d(p). Is j > -3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - a - a**2 - a)*(-4 + 4 + a**3 + (-a**2 - a**2 + 3*a**2)*(0*a + a + a) - 5*a**3 + 3*a**3 - 4*a**3).\nAnswer: 3*a**5 - 6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7415, 14800, 22155, 29486, 36799?\n\"Answer: t**3 - 21*t**2 + 7441*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-19)\/1 + (-925)\/(-37) + (-76)\/14. Let b = 10.19 + -0.19. Sort 0.3, i, b in decreasing order.\nAnswer: b, i, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 12, -3\/5, -42\/5 in decreasing order.\nAnswer: 12, -3\/5, -3\/4, -42\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-38*w - 7 + 8 + 2*w**2 + 5*w)*(-2 - 2 + 2) as n*w**2 + d + u*w and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3306 + 80?\nAnswer: 3386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 31*6021.32\nAnswer: 186660.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 238*2\/2*154\/2156?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1412519026 to the nearest integer?\nAnswer: 37583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.046 and 17442464.3.\nAnswer: 17442464.346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2461836\/22020 + (-62)\/(-10) + -4.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2.41 (b) -1\/6 (c) -184 (d) -1\/8 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*d**3 + 91*d**3 + 42*d**2 - 42*d**2.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.034 + 12.466. Round n to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (3 - 7) - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-155)\/(-4) - 3\/(-9 - 3). Suppose -j - 5*u - 7 = 0, 0 = -0*j - 3*j - u + 49. Let v = n + j. Is 4 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 58 (b) -5 (c) 395\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 9 = 6. Suppose -3*f - 3*i - 189003 = 0, 0*f - p*i = -3*f - 188995. Round f to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 1. Let d = -1 - 0. Let x = t - d. Solve -3*k - 4 = -5*m + 10, 0 = x*k - 3*m + 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a day in seconds?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of 7*k**5\/5 - 49*k**4\/12 + 2*k - 67. What is the third derivative of u(l) wrt l?\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 8190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.7 + 0.6. Let x = 2.1 + g. Let q = -249 + 252. Which is the closest to q? (a) x (b) -1\/8 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1e3508 (base 16) in base 13?\nAnswer: -5440c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*z**4 - 35297981*z**3 - 22919545*z**2 wrt z?\nAnswer: 48*z - 211787886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -29, -80, -1\/5, -2\/5, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -272435 (base 8) to base 10\nAnswer: -95517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 3 + 37 - -4 - (0 + 1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 903 - 903.00373. What is h rounded to four decimal places?\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-20*8\/(-32)*324\/36.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 60343 divided by -7?\nAnswer: -60343\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(441)*-1 + sqrt(441))*-3 + sqrt(441))\/((1*sqrt(63))\/sqrt(9) - sqrt(7) - 1*sqrt(35)\/sqrt(5)).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 88\/20*10\/14 + -4. What is the closest to 2 in 5, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 24, 2, -18?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29498794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.7 - -10.7. Let o = -45 - -35. Let u = o + b. Is -0.2 greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -12*a. Let s(u) = 6512 + 6505 - 13016 - 9*u**2. Determine p(s(f)).\nAnswer: 108*f**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.89 and 0.5?\nAnswer: 0.445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000011636186 rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m + 0 + 4*m + 3)*(735 + 593 - 235).\nAnswer: -1093*m + 3279","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 37 (c) -0.065 (d) -2.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -5*t - 477, y + t - 43 = 65. What are the prime factors of y?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 980*q**4 + 704*q**2.\nAnswer: 23520*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 0, 4, -1, -4, -83, -2 in descending order.\nAnswer: 27, 4, 0, -1, -2, -4, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-16) + 189\/(-720).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5 - 1 = 0. Let g = 58 + -37. Let d = g + -19. Sort u, d, -2 in descending order.\nAnswer: d, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2*j = 10, -6*y + 2*y = 3*j - 1. Suppose -541 = -5*t + y*x, -2*t + 2*x = -164 - 54. Calculate the greatest common factor of t and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3230826 - 4*d**2 + 0*d - 3230820 + 0*d + 6461646 + 2*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 3)*9\/(-6). Suppose a*f + 3*p = 39, -p + 44 = 3*f - 3*p. Let x be 5\/10*(-8)\/f. What is the second biggest value in 2, x, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 + 0.1. Let d = k - 1.3. Let u be (-18)\/(-8)*(-2)\/(-6). Which is the third smallest value? (a) 3 (b) u (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 6) + 11 - 3. Let t be ((-6)\/18)\/(u\/(-24)). Suppose 0 = 4*p - 2*l - 10, -t*l = -0*p - 2*p. Put p, 0.2, -8 in descending order.\nAnswer: p, 0.2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -155.6 in -1, -1\/2, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**3 + h**3 - 5*h**2 + 0 + 0.\nAnswer: 2*h**3 - 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 958 divided by -996.\nAnswer: -479\/498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 + 35. Determine m so that -5*m**3 - 6*m**4 + 64 + g*m**4 + 64*m - 11*m**3 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 9*w**5\/2 + 4722*w**4 - 6309*w**3\/2 - 4722*w**2 + 3150*w = 0.\nAnswer: -1050, -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzaaazabazanaaapnzqa. Give prob of picking 1 q and 1 n.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -7*b**2 - 3*b + 8. Let i be r(4). Let g = 1042\/9 + i. Are 0.1 and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 78, 450, 1118, 2082, 3342?\n\"Answer: 148*j**2 - 72*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 5*v - 21 = 0, -7*v = -3*d - 9*v + 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -72581214\nAnswer: 1\/24193738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3897 + -3869. What is the smallest common multiple of 21 and d?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3146088046 rounded to the nearest 1000000?\nAnswer: 3146000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7952.\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**4 - 2*q**2 + 6*q**3 - 599 - 2*q - 2*q**3 + 1188 - 588 to the form d + a*q**4 + x*q**3 + p*q + f*q**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = 24 - 80. Suppose 5*r - 35 = -2*s, r - 4*s - l = -23. Solve -11 = -2*a - 3*a + 2*p, 0 = -5*a + r*p + 20 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 33*i + 27*i)*(-i**2 - 2*i**2 - i**2).\nAnswer: 24*i**3 + 12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -24. Let n(j) = -j - 6. Let s(c) = 5 - c + 2*c + 0*c. Let l(d) = x*s(d) + 6*n(d). Give l(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/557 and 37\/631081.\nAnswer: 631081","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one fifth of a minute?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11675397.\nAnswer: 3, 233, 16703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 58\/18 - 26\/117. Let n(c) = 4*c - 10. Let w be n(s). Solve -w*h = -5*m + 3*h, -4*m + h = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -2*v**5\/25 + 2*v**4\/5 - 16*v**2\/5 + 32*v\/5 + 7. Factor g(y).\nAnswer: -2*(y - 2)**3*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1368, 1372, 1376, 1380, 1384, 1388?\n\"Answer: 4*g + 1364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, g: 1, p: 1, q: 4, f: 1}. What is prob of picking 1 q and 1 u?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/47 at most 1.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhkchcihhcx. Give prob of picking 2 k, 1 i, and 1 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f**2 + 3*f + 20. What is g(-3)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 2) + -3 + (29 - 19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 245221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55.99999971 - 56. Round t to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2a + 352ac?\nAnswer: 35282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c + 17. Let b be (-55)\/4 - (-1)\/(-4). Let v be a(b). Find the second derivative of -2*h + 8*h + 0*h - v*h**3 wrt h.\nAnswer: -18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 64*t**2 - 2*t + 191. Calculate p(64).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 t when four letters picked without replacement from {o: 4, t: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-35 - -18 - 24) + 35)\/((-2)\/(-16))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*z + 5*z + 0*z - 3*z + 2*z**3.\nAnswer: 2*z**3 + 21*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 d when two letters picked without replacement from hhmimmmmhmdhmnmimtii.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -2\/207, 9, 0.2?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07 + -37241.\nAnswer: -37240.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 270888839 to the power of 1\/3, to the nearest integer?\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 8. Let o = -6 + w. Solve o*i = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 1021113?\nAnswer: 1021121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2929\/84 + 415\/12. Suppose -3*d + 3*f + 39 = -6*d, -f = 0. Let p = d - -10. What is the second biggest value in 0, p, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221789?\nAnswer: 23, 9643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6043445 less than or equal to -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90, 215, 340?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**2 - 8*f - 1. Let z(b) = -3*b**2 - 12*b - 2. Let x(v) = 7*g(v) - 5*z(v). Suppose 0 = -5*s + 3 - 13. Give x(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vsvsgccwcwcccssswjcg. What is prob of sequence wwsj?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*j + 15607, -3*h + 4064 = j + 165. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 8:41 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**4 - 5*i**3 + 4*i**2 + 3. Let n(c) = -c**4 - 2*c**3 + 2*c**2 + 1. Let b(t) = -5*n(t) + 2*s(t). Find v, given that b(v) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -106 + (253 - 79) - (-1 - (8 - (1 - -1)))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/9 (b) -0.065 (c) -5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-19)\/(-15) - (-8 + (-1 - -8)).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16.89 - 1.11. Let a = i - -18.1. Is a < -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -2\/3 (b) 4 (c) -13 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 689641214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 151 and 51680958.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + l = -4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 58611 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f - 3. Let n(p) = 4*p. Let b be n(1). Let g be z(b). Suppose 4*u = g*y - 4 - 0, 0 = u - 5*y + 16. Calculate the greatest common factor of 28 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 0.2. Let f = -257.135 + 257.135. Which is the closest to f? (a) g (b) -0.3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -7, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -2\/15, -1, -0.5, 105, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.30985608 to 3 decimal places.\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 33494 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 131222.4 tonnes?\nAnswer: 131222400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 19\/4 of a decade?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -236 and 0.2.\nAnswer: -47.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6233595 rounded to 2 dps?\nAnswer: -0.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 14*v + 34. Calculate n(-8).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -1622?\nAnswer: 1616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211 + 0?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8190803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/6)\/((-1)\/(-10))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 139\/196 + 2\/49. Which is smaller: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**3 - 3*q**2 - 5*q. Let x(f) = -4*f**3 + 5*f**2 + 9*f. Let z be 9\/15 + 74\/10 + -5. Give z*x(g) + 5*b(g).\nAnswer: -2*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -47 and 0.03.\nAnswer: -1.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (24\/5)\/((-123)\/(-1435)) and 42?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 6*h**3 - 90*h**2 - 595*h - 94. Calculate p(20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*r**6*r*r)\/r)\/r*r**6)\/(r\/(r*r**0*r)*r*r)**(1\/9) assuming r is positive.\nAnswer: r**(125\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 223, 475, 807, 1207?\nAnswer: 1663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 458 a factor of 50519232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a tonne in kilograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-31)\/28 - 2\/14. Put -1\/6, 0.1, g in increasing order.\nAnswer: g, -1\/6, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + sqrt(88)*4)\/sqrt(8) - (0 + (sqrt(539))**2) - (1*sqrt(1980))\/(sqrt(160)\/sqrt(2)).\nAnswer: -539 + 7*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/7*z**2 - 8612\/7*z - 18541636\/7 = 0.\nAnswer: -4306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1548)\/(-731) - (-4)\/(-2). Which is the second biggest value? (a) 0.06 (b) k (c) -0.1 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11286523?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 533512, 533775, 534214, 534829, 535620?\nAnswer: 536587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-1)*(901\/(-28))\/(-17))\/((-459)\/3213)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -4, 5879\/28, -3\/5, 4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3606 = 2954 - 10087. List the prime factors of v.\nAnswer: 10739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-20))\/((-10)\/900*-24)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -2\/23 (c) -0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46937209?\nAnswer: 11, 43, 99233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/779 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-597)\/(-15) - 1\/(-5). Calculate the greatest common factor of 4 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -7*z**4\/6 + 5*z**3\/6 + 8*z**2\/3 + 2*z\/3 = 0.\nAnswer: -1, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44.29 + -43.89. What is the fourth biggest value in 0, -1\/4, 3, -0.1, z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40736, -80789, -120164, -158861, -196880?\nAnswer: -234221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.0766 + -1.060719. Let r = 0.0173 - l. What is r rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5281141?\nAnswer: 67, 78823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 7035291 divided by 7\nAnswer: 7035291\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 - 16 = -i. Suppose -62 = -2*h + 4*g, 5*g + i = h + 2. What is the highest common divisor of h and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssyyyxxxxvxsvxvsyxy. Give prob of sequence yyxx.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/4 and -55\/1311?\nAnswer: 5244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -974 + 2124. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 6*j**3 + 29*j**2 + 19*j - 4 = 0.\nAnswer: -4, -1, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*k - r + 15, -16 = -2*k + 4*r. Let j be 1 + 0 + k\/8. Let s(h) be the second derivative of -h**3\/2 + h**2\/2 - h. What is s(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 65\/26*(-8)\/(-10). Suppose -s = -t - 4*z + 4, -1 = -t - 5*z. Calculate the remainder when 102 is divided by t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13.131 times 611\nAnswer: 8023.041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7206 - (-2 - ((-120)\/8 - -4))?\nAnswer: 3, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-three halves of a kilogram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 265*(6 + (-34)\/5). Let v = 212 + l. Let a(x) = -x**3 + x**2 - 5. Calculate a(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 1 = 2. Suppose 0 = 3*y + 13 - a. Let x(q) = 2*q + 3. Let g(t) = 2*t + 2. Determine y*g(z) + 3*x(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/3*k**5 + 0*k**2 - 16\/3*k**3 - 4\/3*k**4 + 0*k.\nAnswer: 2*k**3*(k - 4)*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118112500 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(y) = y + 16. Let c be v(-19). Let b(o) = -4*o**3 - 6*o + 4. Let h(w) = w**3 + w**2 + w - 1. Let f(g) = c*h(g) - b(g). Solve f(s) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2961 and 282.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3\/2)\/(1\/((-395)\/15)) and -61\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -1) + (12 - 11).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 849\/18 - (-2)\/(-3) and (43\/(-22) + 2)*(-274 - -185).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 4*k + 1. Let p(j) = j**3 + 5*j**2 - 9*j - 8. Let i be p(-6). Let q(r) = -r + 13. Let f be q(i). Let w be m(f). Solve u = 5*u - w for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 + 474 = 4*v. Let x be 2 - (-1 - v\/(-32)). Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.229 - 0.029. What is the fourth biggest value in 1\/3, 0, a, 0.04?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 4*a + 412, -4*a - 216 = -t - t. What is the greatest common factor of t and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 7701*q - 377349. Let n be c(49). Suppose n - 44\/7*f**3 + 0*f + 4\/7*f**4 - 48\/7*f**2 = 0. What is f?\nAnswer: -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - 0)*(-2)\/(-4). Let a(y) = -y**2 - y**c + 4*y**2. Let p(q) = -q**2 + 4 - 4. What is p(a(v))?\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 348*x = 136*x - 792 - 56 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 65?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 42629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1068*s - 54*s**2 - 1 + 1068*s + 2.\nAnswer: -54*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 9*q**2 + 8189*q - 16376. Calculate l(2).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from ydypydyzygdzgzydd?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 79*s**4 + 40*s**3 + 726659*s.\nAnswer: 948*s**2 + 240*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2774309726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = t + 2*t + 3, 2*t = 3*d - 27. Let j be (102\/18 + -3)\/((-4)\/t). Suppose k - 25 = 4*p + j, 3*k = 5*p + 80. Solve -2*g + k = 3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 11:59 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*y**2 - 18*y**2 - 79 - 85 - 95 + 350 - 91.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1, 73, -10 in ascending order.\nAnswer: -10, -7, -1, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78034297 is divided by 234.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80 and 3896?\nAnswer: 38960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 6 = v. Suppose -v*z - 18 = -7*z. Solve r = z*r - 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 - -11. Let p = b - -11. Suppose 0 = o + 2*d - p*d - 3, 0 = -5*o + 4*d + 26. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of 2299*p**6\/120 - p**5\/30 - 181*p**3 + 346*p**2 + 3. Differentiate n(a) with respect to a.\nAnswer: 6897*a**2 - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 2*z + z - 17, 4*z - 14 = 2*d. Let y = -5 - d. Suppose t - 32 - 8 = 0. Calculate the greatest common divisor of y and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 5*g - 43, -2*p + 3*g - 6 = -3. Calculate the greatest common factor of 66 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 38, 51, 30, -43, -186, -417, -754, -1215?\n\"Answer: -3*c**3 + c**2 + 31*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.05 and 5085.\nAnswer: 5085.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - 858\/30) + (-4)\/10. Which is greater: n or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17715875 to the power of 1\/2, to the nearest integer?\nAnswer: 4209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**15*m*m**(-1\/4) assuming m is positive.\nAnswer: m**(63\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5886 and 1744.\nAnswer: 47088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -5*v**3\/2 + 7*v**2\/2 + 4*v - 2 = 0?\nAnswer: -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -878696 + 5*j + 0*j - j + 878696.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, a: 2, v: 1, y: 1, m: 1, e: 1}. Give prob of picking 1 h and 1 y.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/2 - 17251*n**2\/2 - 56349728*n - 79449594622.\nAnswer: (n - 22559)*(n + 2654)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/8842 and -95\/6.\nAnswer: 26526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 6*h - 21. What is o(7)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110111001 (base 2) in base 3?\nAnswer: 1022022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2 = -3*o, 3*o + 8 = q + 3*q. Let r = 2 + o. Differentiate 3*s - 2*s - r*s - 2 with respect to s.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of 3*v**5\/10 - 2*v**4\/3 + v**3\/6 + v**2\/2 + 4*v + 2. Is c(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 4, 0.4, -1\/5, 0.3 in descending order.\nAnswer: 6, 4, 0.4, 0.3, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 0 - 4 = -3*v, 0 = 4*v + z - 1. Suppose 4*q - 2 + q**3 - 5*q**3 + v*q**3 + 2*q**4 = 0. Calculate q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2. Let u = 478 - 482. Let g(k) = 4*k**2 + 2*k - 3. Let x(a) = -a**2 - a + 1. Let n(j) = -2*g(j) - 6*x(j). What is u*s(y) - n(y)?\nAnswer: -2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 4834 divide 609669132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 3*b - 3 = 0, 5 = j + 2*j - 5*b for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(288) - sqrt(288) - sqrt(288)*1*6 - (3 + (sqrt(288) + sqrt(288) + -1)*4))**2.\nAnswer: -264*sqrt(2) + 34849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 146*h + 242502 - 253014 for h.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 29*t**2 - 328*t + 9587. What is j(30)?\nAnswer: 647","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 768204\/270*10\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) -2\/3 (c) -5 (d) 5 (e) 2 (f) 0.3177\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 13*z**2 + 12*z + 1. Let k be g(12). Calculate the highest common divisor of k and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -175188 (base 14) to base 16\nAnswer: -c8624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/480*-10*(-4)\/(-6).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -97 + 102. Suppose -4*x + 5*j = -105, 12 = -2*x - c*j + 87. Calculate the remainder when 10*6 - 4\/2 is divided by x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) - (sqrt(72) + sqrt(72) + sqrt(72)*1 + sqrt(72) + sqrt(72)))\/(1*sqrt(6)*-5) + (sqrt(1344)*-1)\/(sqrt(84)\/sqrt(3)).\nAnswer: -12*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.67 and -0.1.\nAnswer: 0.167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -180 by -5.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/124769766 and -4\/6171.\nAnswer: 1372467426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 - 41. Is d > -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, 3\/7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9656377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 23*y + 82 = 29*y. Let g be (9\/2)\/(2\/(-4)). Let l be y + (-3 - g) - -3. Solve 0*h = 2*q + h - l, -2*h = -2*q + 2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -657, -2584, -5799, -10302, -16093?\nAnswer: -23172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6349)\/(-8) - (-3 - 84\/(-32))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 592360 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9 (b) 0.3 (c) 2 (d) 4 (e) 3206 (f) -0.04 (g) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 208, 2, 1, 1\/16, 14, 4?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183327*b**3 - 5*b + 5*b + 2*b.\nAnswer: -183327*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 15*c**2 + 20*c - 22. Let t be u(16). Let w = 69 - t. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a + 25. Suppose -1821*i - 144 = -1845*i. Let y(k) = 1. What is i*y(f) + c(f)?\nAnswer: f + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/5)*z*z**(-1\/8)*z*(z\/z**(5\/4))\/z**(-1\/2))\/((z*z\/(z*z**(-2\/9)*z*z)*z*z)\/(z**(-1\/6)\/z))**0 assuming z is positive.\nAnswer: z**(77\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*v**2 + 34*v**2 + 11*v**2 + 241*v**3 + 485*v**3.\nAnswer: 726*v**3 + 57*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-2 + 1)*(-19)\/(-380)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6908 and 13188.\nAnswer: 145068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9989.756 decades to months.\nAnswer: 1198770.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 2. Let f = 19 - d. Solve l - 6*l = f for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -326, -314, -272, -182, -26, 214?\nAnswer: 556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2105285093.\nAnswer: 2105285093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/240 and -23\/126.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13684*l - 13675*l - 4*p = 84, l + 154 = -5*p for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 - -221410130?\nAnswer: 221410114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*c**3*j**2 - 5834*c**3*j - 251*c**3 - 127802*c**2*j**2 + c wrt j.\nAnswer: 26*c**3 - 255604*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 421 - 128 = -2*r, -4*p - 4*r = -728. Suppose b + 52 = p. Let x = b + -85. Calculate the highest common factor of x and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55224217?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvv when four letters picked without replacement from vvvvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18562 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - ((15 - 56 - -42) + (19 - 1)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1004243 (base 5) to base 14\nAnswer: 5c90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 l when two letters picked without replacement from {u: 1, l: 1, f: 5, z: 1, i: 7}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 4. Let x(p) = -p**2 + 8*p - 7. Calculate x(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c - 2*c + 1498 - c**2 + 1497 - 2995.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2. Let t(q) = -q. Let b be (-14)\/(-3) - (-2)\/(-3). Let f(x) = x. Let p(z) = b*t(z) + 5*f(z). Determine c(p(r)).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 11 + 54 = 5*w, -18*m + 4*w = 2*w + 282 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 9*t**2 + 8*t + 29. Determine f(-10).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5504068, 11008160, 16512252, 22016344, 27520436, 33024528?\n\"Answer: 5504092*s - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -91 + 94. List the prime factors of 1*((3 - h) + 122) + -1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5518533857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q*q**(-7))**(-5\/7)*q**(-6)\/(q*q\/q**(1\/10)*q) assuming q is positive.\nAnswer: q**(-423\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -37*x**7\/210 + 29*x**3\/6 + 10*x**2. Differentiate k(u) wrt u.\nAnswer: -148*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 17*k + 48. Give d(22).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(-195)\/(-364)*((-3848)\/663)\/37?\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (6\/49)\/((-8)\/56) and 119\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -1. Let k(y) = -14*y**3 - 4. Let c(m) = -k(m) + 10*p(m). Find the first derivative of c(u) wrt u.\nAnswer: 42*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -451, -1674, -3665, -6424, -9951, -14246, -19309?\nAnswer: -25140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 6 + 9 + (-1 - 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 363 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -5*u - 4*v + 53, 4*u - 28 = -3*v. Let t = 85963 - 85961. Let n = -1 - -2. Solve 2*w = u*b - t, -3*b - n = 5*w + 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, 2, -1001, -1810?\nAnswer: -1810","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 56070*w**3 - 185557*w**2 wrt w?\nAnswer: 336420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.114874 rounded to 2 decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 244, 245, 246, 247, 248, 249?\nAnswer: 250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 496 + -521 - (-23 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 6074*c**2 + 12120*c - 12120*c in the form m*c + g*c**2 + k and give g.\nAnswer: 6074","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 4:43 AM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 2\/789 (c) 11957\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + 17. What are the prime factors of b\/14 + 38 + -1?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - -10 - 9 - -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(128) + 4.\nAnswer: 3 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1233834, -2467676, -3701518?\nAnswer: -4935360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -355*q*u**2 + 2*u**2 + 5 with respect to q.\nAnswer: -355*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**2 + 109*t + 601. Determine a(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -592 - 3713. Let f = o - -17123\/4. Calculate the common denominator of -109*1\/(-10) + 1 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 266 and 95.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3327917277.\nAnswer: 3, 1109305759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16 - 195440a1?\nAnswer: -19544087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182458 is divided by 469?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 1\/2, 4 in increasing order.\nAnswer: -15, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8812511231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2095 and 4609.\nAnswer: 23045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from knkznkzknnz. Give prob of sequence nznk.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(1458) - sqrt(1458)*2 - sqrt(126)\/(-2*sqrt(7) + sqrt(7)))\/(sqrt(66)\/(sqrt(44)*4)).\nAnswer: 384*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23.768? (a) -4\/5 (b) -2 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24)\/(-4) + -1*2. Let l be -2 - (2 + (-2 - o)). What is the units digit of 1\/l - 14\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1303 - -1300. Sort p, 3\/4, 2\/9, -7.1 in increasing order.\nAnswer: -7.1, p, 2\/9, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = i - 2. Let d(r) = -r**2 + 6*r + 6. Let j be d(i). Solve 4*p = -1 - j for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -168, -5, -1, -6, -12, 3, 8 in increasing order.\nAnswer: -168, -12, -6, -5, -1, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1287225 divided by -257445.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 6 = 2*f - 4*t, 5*f - 3*t = 15. Solve -k - 9 = f*o - 0*k, 0 = 2*o + 4*k + 16 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 47412.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 12:35 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 312305.\nAnswer: 5, 7, 8923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (1 + 0)) + 49 + (2 - -25 - 22)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 3 + 3)*(0*s**3 + 2*s**3 + 0*s**3) - 197*s**4 - 59*s**4 - 85*s**4.\nAnswer: -337*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(20) + 4)**2 + sqrt(980)*2.\nAnswer: 96 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2. Suppose 5*f - 7 = 3. Let a(x) = -9*x**2 + x**f + 6*x**2. Determine a(g(t)).\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3558975, 7117950, 10676925, 14235900?\n\"Answer: 3558975*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 + -22. Suppose -317 = -z*u - 29. Is 16 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 25.839879 months?\nAnswer: 2.15332325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 k when three letters picked without replacement from {k: 8, z: 3, p: 4, f: 3, h: 1}.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1795129 at least as big as 1795128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 6 - 0. Let c be (-3 + f)*(-6)\/2. Suppose -26 = -2*i + 3*v - 2*v, 4*v + 34 = c*i. What is the least common multiple of i and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 57*b - 1. Let d(j) = 3*j**2 - 169*j - 2. Give -3*d(l) + 8*y(l).\nAnswer: -l**2 + 51*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -16*b**3 - 36*b**2 - b - 11. Let y(l) = 3*l**3 + 7*l**2 + 2. Give -2*g(d) - 11*y(d).\nAnswer: -d**3 - 5*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 396 + -2774\/7. Which is the fourth biggest value? (a) 4\/13 (b) 2\/5 (c) 0.3 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -19*b + 286. Let t be w(0). What is the greatest common factor of 26 and t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1420586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 6 = -s. Suppose -s*t = -t - 12. Suppose 4*u - u - t = 0. Let f(i) = i**2 - 4*i + 3. What is f(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, x: 7, g: 3, t: 1, l: 1, r: 2}. What is prob of picking 2 x?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4931 - -4952. What is the nearest to -2 in -4, 2\/3, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 + 20. Suppose m = 2*a + 8, 3*m - 2*a - 11 - 1 = g. Suppose 0 = -s - m*v + 26, s - v - 17 = -0*s. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 902*k = -1692*k + 698*k + 170640 for k.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -14*g + 29. Let p(q) = -30*q + 59. Let m(y) = -6*p(y) + 13*z(y). Determine m(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 11*k**2 - 58*k - 542. What is the remainder when 935 is divided by o(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.21 (b) 4 (c) 5 (d) -2\/25 (e) -1\/9 (f) -36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8 - (1 + (5 - 1)). Let b = 61 + -25. Suppose -2*w + c*g + 12 = 2*g, -g = 4*w - b. Is 8 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j\/(j*j**(-2\/7)))\/j*j)**35*j**(3\/7)\/j*j\/(((j*j**(-5\/6))\/j)\/j)*j*(j*j**(4\/3)*j\/j**(-5)*j)**14 assuming j is positive.\nAnswer: j**(2505\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -6. Let j = 0.02 + -0.04. Let m = j - 0.48. Put m, y, -1\/5 in descending order.\nAnswer: -1\/5, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2. Let s(y) = -1978*y. Calculate d(s(o)).\nAnswer: 3912484*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + h + 52. Let p be z(8). Let o be 6\/p*40\/12. Let j(n) = -n**3 - 5*n**2 + 4. Let w be j(o). Solve i - w = -i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -777, -1530, -2295, -3078, -3885, -4722, -5595, -6510?\n\"Answer: -i**3 - 746*i - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**2 - 10*p + 6. Let r be b(-5). Suppose -21 + r = -5*d. Which is smaller: d or 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 1151*n**3 + 3184*n**2 + 14*n. Let x(o) = -576*o**3 - 1591*o**2 - 8*o. Let y(i) = 4*b(i) + 7*x(i). Find the third derivative of y(u) wrt u.\nAnswer: 3432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 y when four letters picked without replacement from jjrmrmymrrrmrykyr?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 700*q + 22 = 704*q - 2*y, 2*y - 5 = -5*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 214806743?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 25 = -2*q - 5*a, -3*q + 33 = -3*a. Suppose -3*f + q = 4. Suppose -f*z + 18 + 8 = 0. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1226125 or -3678377\/3?\nAnswer: -1226125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*w**3 + 2*w**2 - 27*w - 2?\nAnswer: -60*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30449, -122077, -274879, -488855?\nAnswer: -764005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 417397997141 + 0.2.\nAnswer: 417397997141.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of m**9\/21 + 15*m**6\/8 + m**5\/30 - m**4\/24 - 308*m**3\/3 - 6853*m**2. What is the third derivative of f(l) wrt l?\nAnswer: 2880*l**3 + 1350","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/(-20)*336\/(-18). Suppose -22 + y = -2*w. Solve 3 = w*d + 11 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3776217939?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.515 * -1539.\nAnswer: 2331.585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10 - -11 - (-1 + 0) - 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 15) in base 14?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 28*u + 737. Give n(28).\nAnswer: -831","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 5*o + 62, 8 = -4*o. What is the smallest common multiple of (v\/(-18))\/(2\/6) and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -v**3\/2 + v**2\/2 + 2*v + 2. Let l(p) be the first derivative of a(p). Let h(t) = -3*t - 25. Let f be h(-9). Determine l(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 426*b**2 - b - 429. Give o(-426).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 6 = q + 4*z, q + 6 = -2*z. Suppose 2*c + 2*a - 18 = 0, 2*c - 5*a = 1 + 3. Suppose 0 = 5*y - c - 8. Solve -q*r - r + y = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40 - 67) + -9 + 18?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -871*h - 583*h = 3432 + 8200 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 532377059*q**2 - 335463657.\nAnswer: 1064754118*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o*o\/(o**(-2\/11)\/o))\/o)**46\/(o\/(o**(-1\/6)\/o))**(2\/53) assuming o is positive.\nAnswer: o**(255847\/1749)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 793?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.0208464 times 0.1?\nAnswer: 0.60208464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (6614\/23149)\/((-2)\/8 - 6\/(-56))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 6:29 PM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38211 is divided by 8018.\nAnswer: 6139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1fd + 6?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -x**7\/1155 + x**6\/165 - x**5\/66 + x**4\/66 - 27*x**2 - 2. Determine s, given that y(s) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5684744311 to the nearest integer?\nAnswer: 1785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -397\/6660 + 1\/180. Let w = s - -57\/370. Let p be 2\/(-8) - 165\/60. What is the second biggest value in p, -5, w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 5*i**3 + 3*i**2 - 1. What is m(-2)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-24890)\/4)\/((-238)\/68). Let z = -1775 + b. Let -z*v - 50\/7 - 2\/7*v**2 = 0. What is v?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 6*x**2 - 36*x - 129. What is d(-5)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 25\/(-9) - (-1)\/((-63)\/14). Let l be 1\/(-4)*112\/12. Is l < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -1\/50*d**6 + 91*d - 2 + 0*d**2 + d**3 + 6\/25*d**5 - 17\/20*d**4. Suppose c(a) = 0. What is a?\nAnswer: 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -170*v**3 + 3*v**2 + 7*v + 9. List the prime factors of r(-2).\nAnswer: 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -23 + (154\/70 - -3)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2535610259?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 5*q. Let v be t(-5). Let k = -13 - -17. Suppose l - k = -v*l. Solve -4*a + l*g = -8, 4*a - 4*g + g = 10 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v - 7. Let j be r(-6). Let d = 2 + 3. Let m = -5.4 + d. Which is greater: j or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2 + -3*sqrt(175)) + 2*-4*sqrt(175)*2)**2.\nAnswer: 1500*sqrt(7) + 109411","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-40)*12 + 18\/(-5). Let b be ((-136)\/168 - v) + 12\/(-14). Factor -2\/3*x**2 - 2\/3 - b*x.\nAnswer: -2*(x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 108 + -83. What is the remainder when z is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/70 and 15\/28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 8*7\/280 - (-3)\/30\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**3 + 4*c**2 - 123*c - 458. Determine y(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 7, r: 9}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -2. What is the third derivative of 10*a**2 + 0*a**3 - 2*a**3 - m*a**3 wrt a?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 181530 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/(28\/11) + 3. What is the second smallest value in -9, s, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -1, -4 in ascending order.\nAnswer: -26, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 38535732 or 38535731?\nAnswer: 38535732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43307?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = r - 6. Suppose 2*a + 3 = -5*b + 3*a, -3*b + 6 = 2*a. Suppose -4*t - 2 + 18 = b. Calculate the highest common factor of t and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 - 16)*(2 + f**3 + f**3 - 4*f**3).\nAnswer: 36*f**3 - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*s + s + s)*(-1 + 2 - 3) + 3*s - s + 0*s)*(-1 + 0 - 5 + (3 - 4 + 3)*(-1 + 0 + 2) + 0 + 7 - 2) - 2 + 0 + 0 + s to the form x*s + v and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**2)**(-2\/25)*f**(-8)\/f**(-2\/3))**(-2\/19) assuming f is positive.\nAnswer: f**(1136\/1425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*r**(-2\/27)*r*r**(12\/11)*r*(r\/(r*r**(3\/13)*r))\/r**(23\/5) assuming r is positive.\nAnswer: r**(-15713\/19305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 5*f - 2*f - 4 - 3*f**4 - f. Let n(q) = q - 1. Let i(m) = -2*n(m) + z(m). What is the first derivative of i(r) wrt r?\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 365 and 657?\nAnswer: 3285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18.71 + -19. Let z = 8167 + -8140.89. Let x = z - k. What is x rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -24605*l + 221459. What is c(9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from crcwwerpg. What is prob of sequence gcre?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/8 + 18\/4. Suppose 9*f - 880 = h*f. Let x = f - 17. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2285 * 3.\nAnswer: 0.6855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8616.\nAnswer: 2, 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -15\/19, -2\/17, 0.6, 38?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12279 - -23430. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13809636.\nAnswer: 2, 3, 127867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3*h**3 + 2*h**4 - 4*h**3 + 2 - 6 + 15*h**2 + 6*h**3 to the form j*h + k + n*h**3 + x*h**2 + p*h**4 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**(-5)))\/b**4*b*(b\/b**(1\/2))\/b*(b\/(b*b**(-5\/3)*b))\/b)**(-1) assuming b is positive.\nAnswer: b**(-7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k - 9. Let v be z(-7). Suppose -u + 0*b - 2 = b, 3*u = -5*b - v. Solve u + 3 = s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18705853 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 26.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 12. Let g(m) = 7*m**3 - 19*m**2 - m - 6. Let n(h) = 20*h**3 - 55*h**2 - 3*h - 17. Let z(f) = -17*g(f) + 6*n(f). Calculate z(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 550082419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15498*n**3 - 9653*n**2 wrt n.\nAnswer: -92988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 187, -215.\nAnswer: -215, 27, 187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 6:32 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -15*p**2 - 250*p + 479*p + p**2 - 229*p. Let d(h) = -33*h**2. Determine l(d(v)).\nAnswer: -15246*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -60*o - 7. Let u be g(-5). Let p = u - 102. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77866600 rounded to the nearest one million?\nAnswer: 78000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 2*j**2 + 3*j - 2. Let y be s(-3). Suppose 2*u = -4*i - i - 27, -60 = 4*u + 4*i. Calculate the common denominator of -75\/8 and y\/u - (-2)\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 e when three letters picked without replacement from {t: 1, e: 11, z: 8}.\nAnswer: 77\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**10*r*r*r)\/((r*r\/(r*r**(4\/9)*r)*r)\/r*r))**11*(r**(-7)*r)\/(r\/(r**1\/r*r))*(r**0)**(-37) assuming r is positive.\nAnswer: r**(1277\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -133\/2 - -38. What is the common denominator of z and 33\/58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28 or 22\/260375?\nAnswer: 22\/260375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 59400 and 326700?\nAnswer: 653400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from duuuuduuooououod.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(624) - sqrt(624)*-1 - sqrt(624)) + sqrt(39))\/(sqrt(3)*-1*5).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1768008.3 and -58.\nAnswer: -1768066.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 7*d + 7. What is the remainder when 37 is divided by m(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -3*c - 2*o + 21, 5*o = 4*c + 8. Let b = 32 + -28. Let s(x) = x**3 - 5*x**2 - 5*x + 1. Let d be s(6). Solve -b = c*g - d*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -294*w - 204 wrt w.\nAnswer: -294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/17, -32\/5, -0.5, -1, 3\/8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4225392.\nAnswer: 2, 3, 9781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -5, -55, 2, -2 in increasing order.\nAnswer: -55, -5, -3, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -5*b + 5*k, 0 = -4*b + b - 4*k + 47. Let z = b - 40\/3. What is the third biggest value in -2, z, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 81 = -62. What is the remainder when 92 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0711 to three dps.\nAnswer: -0.071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55 or 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + x**2 - x + 7. Let c(y) = y + 9. Let a be (6 + -4)*9\/(-2). Let d be c(a). Suppose d*o = 2*o. Calculate h(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14.3 - -5.3. Let w = 2 + -1. Let j = w + v. Which is smaller: j or 0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -19*j**3 - 5*j**2 + 5. Let o(v) = 58*v**3 + 16*v**2 - 16. Give -16*c(f) - 5*o(f).\nAnswer: 14*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -6*m**5 + 32*m**4 - 58*m**3 + 40*m**2 - 8*m = 0.\nAnswer: 0, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b - 2. Let w be j(-2). Suppose -2*h = -w*h + 32. Let x = -6 + h. Calculate the remainder when 39 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in -7, 3\/8, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12034007 to the power of 1\/2, to the nearest integer?\nAnswer: 3469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 782792132?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5\/2, 5, 3\/2, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210 is divided by 31.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - (-430 + 445 - (-1 + -71)).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*m + 40 = -2*u, -3*m + 4*u + 60 = 0. Let q = 48 - -2. What is the highest common factor of m and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10*((-6)\/(-60))\/(1\/(-4))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52 - -58. Let x = 22 + -14. Calculate the lowest common multiple of t and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61410 by -61410.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -87915 times 0.08?\nAnswer: -7033.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 4*j + 103. Let y = 79 - 56. Is 15 a factor of i(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -4. Let k(i) = -3*i - 4. Let t be k(l). Solve -3*f + 4*c - 7 = 0, 2*c + 2*c + 1 = -t*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*(3 + 11\/(-2)). Suppose 4*g = 4*y - 12, -g - 7*y + 2*y = -9. Does 3 divide (g - 44)*4\/z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -147*h + 74*h - 183*h in the form w*h + p and give w.\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/15 of a century?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 less than -5971?\nAnswer: -5971.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -42*y**6 - 3081*y**2\/2 - y - 1242. What is the second derivative of z(t) wrt t?\nAnswer: -5040*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 294.1343 take away 0.037457?\nAnswer: 294.096843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37.1 - 1.1. Let a = k - 35.965. Let t = -1.565 - a. Which is greater: 2 or t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 0, -26, 100, -4 in decreasing order.\nAnswer: 100, 0, -1, -4, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 50 = 6*s - 2*s, 5*o - 70 = 5*s. Does 16 divide ((-15)\/(105\/112))\/(2\/s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 200 and 1776.\nAnswer: 44400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 26045*h**2 + 13*h - 26045*h**2 + 4*h**4 + (2*h + 2*h + h)*(5 - 5 + h**3) as o*h + p*h**4 + d*h**3 + y + u*h**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -5*o - 8 + o**2 + 8*o**2 + 100*o**3 - 99*o**3. Calculate the remainder when j(-9) is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81 and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25.96 + -25. Let u = t - -0.04. Let d be 2\/(-3)*(-30)\/35. What is the biggest value in u, -0.5, d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -27 and 54632?\nAnswer: -1475064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6161 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -b**4\/12 - 5*b**3\/6 + 8*b**2 + b. Let l be p(-7). Let i(f) = 2*f**2 + f + 1. Let k be i(-1). Solve 2 = -l*y - k for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 387\/132 + (-6)\/(-24) and 29?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146074417631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -261, 5 in decreasing order.\nAnswer: 5, -12, -261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -89 + 1?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m**2 - 3*m - 6. What is the smallest common multiple of 100 and r(4)?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dodwoddooowo. Give prob of sequence wdo.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 547696 to the power of 1\/2, to the nearest integer?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + b - 3. Let a be l(0). Let i be (-2 - a\/1)\/(-1). List the prime factors of 9*1 + (-3 - i).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -r + 11. Suppose 0 = -3*h - 4*l - 0*l - 20, -5*h = -l - r. Suppose h = -2*x + 22 + 12. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21101101011 (base 3) to base 14.\nAnswer: 3ad7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.03713095 and -0.4.\nAnswer: -0.36286905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -40? (a) 0.5 (b) 0.2 (c) -1\/6 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -246 or -253?\nAnswer: -246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8879367901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 375169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + u + 17 = 0, 5*a + u - 15 + 5 = 0. Suppose 3 = -3*q + a*j, 2*j = -2*q + 5 + 1. Solve q = -d - 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -35. Suppose 31*f - 7*f + 7*f = -62. Put f, o, -5 in ascending order.\nAnswer: o, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -210, -3, 7, -2 in descending order.\nAnswer: 7, 4, -2, -3, -210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-8)\/q*q)\/(q*q**(3\/7)))\/(q*q**(4\/5)*q*q\/((q**8\/q)\/q)) assuming q is positive.\nAnswer: q**(-253\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4*-2*sqrt(21))\/(-5*sqrt(63)).\nAnswer: -8*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/184 and 103\/18?\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 47*k**2 + 31*k - 54. Give w(-48).\nAnswer: 762","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {k: 2, y: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 149 + -253. What are the prime factors of (1 - o\/3)\/(3\/90)?\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2987.6 and -0.1?\nAnswer: 2987.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 17 = 3*j + j, 11 = -f - 3*j for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.009*-5.\nAnswer: -0.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -6*n**2 - n + 1. Let y be p(1). Let r = 14 + y. Suppose 0 = -2*k - 10, 5*s + 3*k - 80 = 4*k. Calculate the remainder when s is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -13, -5, 10?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 34550*u**2 + 3 - 2 - 34657*u**2 + 69208*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-30)*(5 - 8 - 2). Let l(s) = 1196*s**2 - 115*s - 115. Let p(k) = -21*k**2 + 2*k + 2. Calculate u*l(x) - 115*p(x).\nAnswer: 23*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 165 + 3063. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8508321, -8508324, -8508327, -8508330, -8508333, -8508336?\nAnswer: -8508339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**4\/5 + 42*g**3 + 11082*g**2\/5 + 21526*g\/5 + 10656\/5 = 0.\nAnswer: -37, -1, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -42 and -7237084?\nAnswer: 303957528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**5*n*n\/(n*n*n\/n**(-1\/6))*n*n**3*n*n\/n**(-4))\/((n**2)**49)**(-48) assuming n is positive.\nAnswer: n**(28313\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 6:08 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2598*z**2 + 8670*z**2 + z - z.\nAnswer: 11268*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(104) + -1*sqrt(104)*1)*-1)\/(sqrt(24)\/(sqrt(9)\/sqrt(3)) + sqrt(128)*-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-20\/3)*h*h\/(h**(25\/6)*h))**(9\/4))**24 assuming h is positive.\nAnswer: h**243","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6223 + 3490. Let b = k - -1533. Round b to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51 and 744.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ey when two letters picked without replacement from ueepuyyueeeeueeepee?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -15*a. Let h(l) = -203*l**2 + 3*l. Determine h(b(c)).\nAnswer: -45675*c**2 - 45*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 - 25. Suppose w - h = 1. Solve 4*o + 3*f - 22 = 0, -2*o = w*f - 0 - 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q + 6. Let o be v(5). Suppose -3*h + f = -o, 0*h + f = -3*h + 13. Solve -2*c + 14 + h = -2*l, 2*l + 2 = -2*c for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -180.5 + 180.4. Which is the closest to 0.2? (a) 0.3 (b) -48\/5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, g: 2, d: 3}. What is prob of sequence ghh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 19\/(-3) + 12\/2. Suppose -804*p + 25 = -799*p. Sort p, o, 13 in descending order.\nAnswer: 13, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81 divided by -9.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-905)\/105 - 320\/(-140)?\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6463 (base 7) to base 13.\nAnswer: -107b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 93.68 - 95.3. Which is smaller: w or 0.6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 9*c**2 - c + 9. Let x be f(9). What is the second smallest value in -0.5, 1\/4, x, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o**3 - 13 + 3*o**2 - 2*o**2 + 4*o**3 - 13*o**3 to the form i + x*o**3 + g*o + p*o**2 and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 385524?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 67*q**2 + 193*q - 193*q + (-5*q**2 + 3*q**2 - q**2)*(1 + 2 - 2) + 6*q**2 - 4*q**2 + 7*q**2 + 0 + 0 + 2*q**2.\nAnswer: 75*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -4*j**2. Let u(y) = -134640*y. Give u(s(w)).\nAnswer: 538560*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*d - 46*d + 10. What is the greatest common divisor of 15 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-35))\/(-6 + 54\/10).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -22. Let a = j - -9. Let s(l) = -3*l - 4. Let z(w) = 2*w + 3. Let d(p) = -4*s(p) - 5*z(p). Calculate d(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 1) + (7 - 2). Let x be 22 + -12 - 4 - 2. Suppose 148 = x*z - w*f, -f = f. What are the prime factors of z?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 132423 to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 186900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 19\/6 + -4 + 1. What is the biggest value in -1\/5, 5, i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1113*q + 1047*q + 1402 = -116 for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/110751 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15233 or 15234?\nAnswer: 15233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**5*d*d**20 assuming d is positive.\nAnswer: d**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122, 294, 514, 782?\nAnswer: 1098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.65, 0.1, 6, -5.\nAnswer: -5, 0.1, 0.65, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 2:18 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((o*(o*o**21)\/o)\/o)\/o)\/(o\/o**8))**(-32))**7)**(1\/2) assuming o is positive.\nAnswer: o**(-3024)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*d**3 - 3*d**3 + 4*d**3 + 6*d**2 - 2*d**2 = 0. What is d?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 430.24 + -421. Round j to 0 decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*a**2 + 23*a**2 + 2 - 1 - 2*a**2 - 4 + 4 + (a**2 - a**2 - a**2)*(-2 + 3 - 2) - 6*a**2 + 2*a**2 + 2*a**2.\nAnswer: -5*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ko when two letters picked without replacement from kososooddissssss.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 + 123?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of 0 + h**2 + 0*h**3 + 1\/240*h**6 + 1\/60*h**5 + 1\/48*h**4 + 0*h. Factor x(o).\nAnswer: o*(o + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, d: 1, v: 1, c: 1, m: 1}. Give prob of sequence mvd.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -45749, -45987, -46213, -46421, -46605, -46759, -46877, -46953?\n\"Answer: c**3 - 245*c - 45505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -s**5\/10 + s**4\/12 + s**3\/2 - s**2 - s. Give w(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h - 8. Let c be o(10). Suppose c*w - 21 = 15. Let y = w + -6. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 32 - 49 = 4*y, 0 = -3*q - y - 43. Let k be 1 + 0 + (-16 - q). Let m = 2 + k. Solve m*n = -2*n - 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 6*q**3 - 265*q**2 - 245*q + 403. Determine p(45).\nAnswer: -497","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c + 4*c + 3*c**2 + (2*c - 3*c - c)*(0*c + 3*c + 0*c) + 2*c**2 + 2*c**2 - 3*c**2 to w*c**2 + l*c + t and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 5 = -4*l - 0, -4*b = -4*l. Solve 8 - 3 = l*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = 1015 - 287. Suppose -z + 5*z = k. Suppose -121 - z = -3*y. Does 17 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 88 = -4*w, -5*x + 2*x - 43 = -2*w. Suppose 2*u - w = 215. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2101 + 10?\nAnswer: -2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 16 = -h, -10 = -4*h - 9*q + 7*q for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -11*d**3 - 4*d**2 - 3*d. Let w be k(-4). Let j = w + -357. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 427*k**3 - 20*k**2 - 1 - 429*k**3 - 7*k**2 + 5.\nAnswer: -2*k**3 - 27*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 24492 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 821 + -817. Suppose -5*z - 18 = f, -2*f - 14 = f + 5*z. Suppose 0 = 2*j + f*j - 8. Solve -j*p = -12 + x for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence youc when four letters picked without replacement from {y: 2, c: 4, t: 1, u: 1, o: 3}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*k**3 + 0*k**3 + k**3)*(9*k - 2 + 2) to m*k**4 + a*k**2 + d*k**3 + s + v*k and give m.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 3 (c) -1\/2 (d) 0.01 (e) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-112)\/4*5\/(-2).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 + 27 - 113 = 134*h. Suppose -4*p + 0*j = -2*j + 100, 0 = -2*p + 2*j - 54. Put 1, p, h in increasing order.\nAnswer: p, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322.10682 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -826384 (base 9) to base 2\nAnswer: -1110111101011011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*w - 3*w. Solve -v + 9 = -3*y, w*y + 0*y + v = -7 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 628 and 518257.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-208)\/130)\/((-2)\/(-5))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 643 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - y + 3. Suppose -l + y*r + 17 = 0, -l - 41 = -6*l + 4*r. Suppose 52 = 3*z - z. Solve 21 = t - 5*i, -5*t - z = l*i + 19 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 67999\/(-5) - 4\/20. What is n rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 122 = -101 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 111*x**2 - 107*x + 559. Let m be q(-112). Which is the biggest value? (a) -0.5 (b) m (c) -0.3467\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - n**2 + 8*n - 11. Suppose -10 + 1 = -2*a + d, -3*a + d = -16. Suppose 0 = -3*j - 12, 20 = -a*k + 2*k + 5*j. Is u(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/12)\/(p\/p**(6\/7)))\/(p**(-1))**(-46)*(p*p**0)**47\/(p**0)**(-30\/11) assuming p is positive.\nAnswer: p**(79\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -24 + 10 - -14 - 8 - (-2 + -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2849, 3075, 3449, 3977, 4665, 5519, 6545?\n\"Answer: t**3 + 68*t**2 + 15*t + 2765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(0*v - 4*v + v)*(-2 + 1 + 3)*(6 + 2*v**2 - 6) - 16*v**3 - 6*v**3 - 11*v**3.\nAnswer: -57*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -1 - -1) + (-123 - -109)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.26 + 1.18. Let o = -6.48 - n. Let i = -7 - o. Sort i, -4, -2.\nAnswer: -4, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/8 (b) -740 (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 163 and 19723.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -784 - 3?\nAnswer: -787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 385\/6 + 4\/(-24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23999164 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2476?\nAnswer: 2, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from bxxdcxxduuuuccxu?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -62 - -120. Let l = 2252552750.00000062 - 2252552808. Let t = l + d. Round t to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -93, -185, -277?\n\"Answer: -92*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0030376 to 4 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqbvvqqvvqbvvvvvbvwv. What is prob of sequence bvvv?\nAnswer: 33\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 1, -0.4, 4\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*((-6474)\/12)\/13. Let j = 172 + p. What is the highest common factor of 48 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9607841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27.87 - -28. Sort m, -4, -1 in ascending order.\nAnswer: -4, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2 - 2 + 0*y**2 + y + 3*y**2. Let g be z(-3). Solve -g*a = -4*u - 2*a - 16, 17 = -5*u + a for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 221420432 + 4?\nAnswer: 221420440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 807 divide 585004791?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -32\/33 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 1. Let t = 0.3 + -0.8. Let k = -942\/5 + 189. Which is the closest to j? (a) k (b) t (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55)\/4*(-2016)\/(-4410)*-7.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5543 times 1445?\nAnswer: 3690.9635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3 = -7. Suppose 0 = -4*p + 22 + 66. Suppose -3*n + p = 4*j, -4*n = n + x*j - 40. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13418 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 4:09 AM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.4, -0.1, -16?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 156 and 518258.\nAnswer: 3109548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142153*d - 142351*d + 2376 = 0 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23835648 divided by -12?\nAnswer: -1986304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 0.1. Let i = -4.4 + 0.4. Let f = 1 + 4. What is the nearest to c in i, f, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -187 + 176. Does -3 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-4))\/(539\/1078).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 + 2. Let x(t) = -t**3 + 30*t**2 + 11. What is -6*m(q) + x(q)?\nAnswer: -q**3 + 18*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k + 5. Let u be t(-5). Let a be (-6)\/u + 22\/5. Solve -4*f + 0*f + o = 0, 25 = -a*f - 5*o for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*2\/(-56)*-42?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 51115*u**3 - 6*u**2 + 19. Let g(n) = -25557*n**3 + 3*n**2 - 10. Let w(k) = -2*a(k) - 5*g(k). Let o be w(-3). What is o rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3d5 + -12e?\nAnswer: -514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - 4. Let l = -6 - p. Let h = l - 2.00052. Round h to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m + 2. Let i be y(4). Let d(p) = p**2 + 9*p + 8. Does 9 divide d(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 140989510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 15*w + 32. Let p(a) = 7*a. Let f(k) = -3*p(k) + t(k). What is f(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 25 = -2*c. Solve -q + c*q + 20 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -5121 - 32467. Let b = 0 + 0. Let g be -1 + b + -2 + n. Round g to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*q = -40. Let n be (2 - 0) + q\/(-5). Suppose n*d + d = 11. What is the remainder when d is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -1984*g - 8. Let x be k(1). Let q = x + 3463. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(126)\/sqrt(2)) - (3 + ((1*sqrt(24) + sqrt(24))\/sqrt(8) + sqrt(3))**2).\nAnswer: -30 + sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 180\/(-42) - (-2)\/7. Let g(u) = -2*u**3 + 2*u**2 - 4. Let j = 2 - -1. Let k(a) = 3*a**2 - a**2 - 2*a**j - 4 + 0*a**2 + 1. Determine h*k(q) + 3*g(q).\nAnswer: 2*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -64*a**3 - 4*a**2 - 9*a - 14. Determine c(-2).\nAnswer: 500","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 44 = 2*v, 2*l + 2*v = l + 8. Let z = -9 + l. Suppose 5*y - 18 = z*y. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**2 + h - 1. Let s(t) = 35*t**2 - 15*t + 15. Let c(g) = 30*o(g) + 2*s(g). Let l(y) = 2*y**2. Give c(l(j)).\nAnswer: 40*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 4)*3\/(-1). Let h = 8 - 4. Suppose s*k - 4*d = h*k - 23, 3*d - 131 = -4*k. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ezzeezzzeezez. What is prob of sequence ezz?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 0*o + 6*o**3 - 9\/4*o**4 - 31 + 0*o**2. What is the third derivative of y(r) wrt r?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxzzzzzzzzzzzzzzz. Give prob of sequence zxz.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4*0.7\nAnswer: 2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.1634 - 0.1634. Which is the second smallest value? (a) -8 (b) 5 (c) g (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*y = 37. Let c = y + -25. Suppose 34*w = 35*w - 20. Calculate the least common multiple of c and w.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*u**4*y**2 + 28*u**3*y**3 - 4*u**2*y - 29*u*y**3 wrt u.\nAnswer: 72*u*y**2 + 168*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -137256049*s**2 - 117*s - 998?\nAnswer: -274512098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18517322 is divided by 4629330.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 - 22 = 4*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w + 11. Let s be p(6). Let m(o) = 4*o - 2. Let i be m(s). Let r(q) = 22*q - 10. Let u be r(7). What is the greatest common factor of u and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 271, 552, 845, 1150, 1467?\nAnswer: 1796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -1289847296\nAnswer: -1289847291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -360060099582 + 356731704021432251\/990756. Let p = f - -1\/13572. Let b = p - 22105\/438. What is the common denominator of -61\/48 and b?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*23\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = p + 4*p. Suppose -3*n = 2*u + 3 - p, -u + 23 = 4*n. Suppose -3*q + 11*q = -16. Sort q, 0, n in increasing order.\nAnswer: q, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/117 + (-152)\/(-26)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2764494 is divided by 691119.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 at most as big as 17718\/137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2535 (base 6) in base 4?\nAnswer: 21323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -412812 divided by -36\nAnswer: 11467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (113816\/(-7728) - -7) + (-2)\/(-7). Let m = 101\/23 - g. Calculate the common denominator of m and 163\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 7*a**2 + 2*a + 6. Let k = 494 - 501. Calculate z(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 y when four letters picked without replacement from {h: 2, o: 4, y: 2}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 52 (c) -13\/5 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**4*o - 3831*f**2 + f*o**3 - 3*o**3 + 2*o - 21953 with respect to f.\nAnswer: -4*f**3*o - 7662*f + o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*a**2*t**2 + 32*a**2*t + 6*a**2 - 639*a*t**2 - 25*a*t - 3*t**3 - 2*t wrt t?\nAnswer: -36*a**2 - 1278*a - 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 3975?\nAnswer: -1192.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43937031?\nAnswer: 3, 14645677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, l: 1, f: 2, w: 2, n: 1, i: 1}. What is prob of picking 1 g and 1 w?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**5 - h**5 + 0*h**5 + (-3 + 3 + 2*h**4)*(0*h + 2*h + 0*h) + (5 - 2 - 1)*(-5 + 5 + 7*h**5) + 2*h**5 - 5*h**5 + 4*h**5.\nAnswer: 16*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 8*o**3 - 30*o**2 + 64*o - 3427. Let b(m) = -16*m**3 + 55*m**2 - 128*m + 6858. Let q(g) = 6*b(g) + 11*s(g). Differentiate q(j) wrt j.\nAnswer: -24*j**2 - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1923872731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380*r = 382*r - 12 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -125*l**5*w + 2*l**3*w + 160376*l**2 - 14034863*l*w + 2*l - 4*w - 2 wrt l?\nAnswer: -2500*l**3*w + 12*l*w + 320752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*p - 11 + 0 + 9 - 248*p + 356 - 356 + (5 - 1 - 2)*(-p + p - 2*p) + p - 3 + 3 + 0*p - 3*p + 4*p to the form y + x*p and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 14114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0504 + -0.1616. Are u and 2\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21853865233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4641614 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/162 and 83\/18.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 38344*t + 12001693. Calculate b(-313).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1716809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4327840 and 1758185.\nAnswer: 56261920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**4)\/n**(1\/7)*(n\/(n\/(n*n\/n**6*n)))\/((n\/(n*n*(n*n**(4\/7))\/n*n))\/n)*(n\/(n**4\/n)*n**2)\/(n**(1\/3)*n)**(1\/32) assuming n is positive.\nAnswer: n**(1073\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 2 - (-4)\/(-6)*(-10605)\/(-202)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 35\/6, -5, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -2690?\nAnswer: 268a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 50 = -3*g. Suppose 1 = s - g. Suppose 0 = 3*v + 2*j - 4*j - 15, -5*v - 2*j + 9 = 0. What is the smallest common multiple of s and v?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2411, 2542, 2673, 2804?\n\"Answer: 131*x + 2280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 2151?\nAnswer: 2148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.6075 + 4.6. Let z = 301.9925 - n. Let g = -301.999813 + z. What is g rounded to five decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74*q**2 - 74*q**2 - 26*q**4)*((3 - 1 - 1)*(-6*q + 8*q + 6*q) + 6*q - 4*q - 8*q).\nAnswer: -52*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**2 + 13*c - 3. Give o(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-43411)\/16 + 264\/33. Let k(a) = -905*a + 11. Let u be k(3). Let l = h - u. Find the common denominator of l and 79\/58.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(88)*3)\/sqrt(8)*-2 + 1)**2 - ((-1*(sqrt(132) + sqrt(132) + sqrt(132)*1 + sqrt(132)) + sqrt(132))\/sqrt(12) - sqrt(99)\/((1*sqrt(27))\/sqrt(3))).\nAnswer: 16*sqrt(11) + 397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5621.6 + 5621.5962761. What is t rounded to four dps?\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64 (base 10) to base 7.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t**2 + 4*t - 14. Let u(w) = w**3 - 6*w**2 - 4*w - 17. Let z be u(7). What is the tens digit of r(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -97929 >= -97937?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29394 and 35926?\nAnswer: 323334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 4:19 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 12*a**2 - 5*a + 62. What is l(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u - 20. Calculate z(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wkakaw. Give prob of picking 2 a and 2 k.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of g**3\/2 + 45*g. Let i(q) = -50*q**2. Determine f(i(x)).\nAnswer: -150*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 264 - 175. Calculate the remainder when u is divided by 48.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-4))\/(23\/((-4600)\/75))?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -9*p - 3. Let x(l) = l + 1. Suppose -5*v - 6*v - 66 = 0. Let n(z) = v*x(z) - b(z). Let q be n(1). Solve q = -5*a - 12 - 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j + 3*j + 81*j**2 - 84*j**2. Let m(h) = 4*h**2 - 2*h**2 + 3*h**2. Determine k(m(t)).\nAnswer: -75*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -6*o**3 - 2*o**2 - 6*o - 7. What is the hundreds digit of b(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/3)\/((-41401)\/20700 + 2). Round t to the nearest 1000.\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8161\/(-8161)*((-106)\/(-8) - (-2)\/(-8))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-9) + 228\/(-38) + (-652)\/(-132)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.35 - -0.35. Let l = -0.99 + -0.01. What is the nearest to c in -0.4, l, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 5:14 PM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - (-1)\/2) + (-8)\/(-16). Which is the third smallest value? (a) -2 (b) h (c) -1\/5 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -123.49 and -5077469043.\nAnswer: -5077469166.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 62260735 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of u**3\/3 + u**2\/2 + 67. Let p be 0\/(-2 + 0\/(-1)). Let k be c(p). Solve 2*n + 4*y - 2 = 0, k = -n - n + y + 12 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -v + 5*v. Suppose 4*o - 31 = o - 4*n, -o = 2*n - v. Solve 0 = -2*u + o*d + 24, -5*d - 14 = -3*u + 6*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gzgxxxxbbzxggxzgxxg. What is prob of sequence zg?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -5*o - 37, -2*p - 2*o - 14 = -4*o. Let z(l) = -l - 6. What is the least common multiple of z(p) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3398 is divided by 198.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 365 and 292.\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 10) to base 2\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 3. Let u = 6 - k. Let s be u\/12 + 2\/(-6). Solve s = -o - 3*o - 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00131 to 4 dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 13, p: 6}. Give prob of picking 1 p and 1 v.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 71 + 19. Suppose z = h - 3. Differentiate h*p**3 + 4 + 6 - 38 wrt p.\nAnswer: 99*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 324 and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 15*u + 9*u**2 - 4*u**2 - 15*u + 21*u**2. Let l(c) = -3*c**2. What is q(l(a))?\nAnswer: 234*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.23, -0.68, 3, -1 in descending order.\nAnswer: 3, -0.23, -0.68, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - 1)*(-1)\/2. Suppose -3*h + a*u = -3, 0 = 5*h - 2*u - u - 4. Which is greater: h or 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + 3. Let p = 46.728 + -55.7. Let r = t + p. What is r rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -214\/165 - -175243\/1155. Let i = j + -151. Which is the closest to -0.2? (a) -3 (b) 15 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3\/2)*(t\/t**8*t)\/t)\/(t*(t\/t**(1\/2))\/t)**34 assuming t is positive.\nAnswer: t**(-51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1411*-3.\nAnswer: -4233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**3 + 14*f**2 + 22*f + 10 = 0?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 146875*d**4\/6 + d**3\/6 - 2*d**2 + 8*d. Let l be h(4). Round l to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 751 and 2.\nAnswer: 1502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*l**2 + 9*l**2 - 3*l**2.\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93679, 187355, 281029, 374701, 468371, 562039, 655705?\nAnswer: 749369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 20*p**5 + 65036*p**4 + 52864496*p**3 - 10627536*p**2 - 42302016*p = 0.\nAnswer: -1626, -4\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/2 and 53\/1878.\nAnswer: 1878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 7:41 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 - -27. What are the prime factors of u\/1 - (5 + -33)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4988952935 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 127\/(-9)*1 + (26 + -68)*(-26)\/78?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 42\/(-15)*(4 + 1). Which is smaller: -9 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -12 and 6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49\/(-147)*189\/12*(-20)\/14.\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*t**4 - 1103244*t**3 + 19387*t**2 - 853 wrt t.\nAnswer: -96*t - 6619464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3053798 + 4868346 = 0. Suppose -2*r - 18561082 = -5*j - z, 8 = 4*j. Round r to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(2299) + sqrt(2299) + 0 + sqrt(2299)) + -3 + -4 + (sqrt(1539) - (sqrt(1539) + -1)**2) + 1.\nAnswer: -1546 - 39*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (-4 + sqrt(5) + 3)) + (-5*sqrt(5) + -4 - sqrt(5)).\nAnswer: -6*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 29411.072 and 4.\nAnswer: 117644.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 2846880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 51262806 divided by 3?\nAnswer: 17087602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.00000056 - 3. What is t rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((225\/(-6))\/(-25))\/(3\/(-56))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 229\/1683 + -14\/561. Let i(v) be the first derivative of -1\/3*v**2 - 24 + v - y*v**3. Solve i(w) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 6*g + 1. Give l(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -408*l - 4624\/3 - 27*l**2.\nAnswer: -(9*l + 68)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*a - 309339 = 31061. Calculate the greatest common divisor of a and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 + 5 = 47*u. Solve u*b + 1 = -1, 4*o = -b - 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61802216797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 356*h**2 - 2*h + 2. Let p be t(-3). Find the third derivative of -3212*v + p*v + 5*v**2 + 31*v**5 wrt v.\nAnswer: 1860*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*b - 4. Let g(i) = i - 3. Let p be g(b). Which is bigger: p or -6\/11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100100110110100010101 - 1010?\nAnswer: -110100100110110100011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -457 - 388 = -46*k + 443. Solve k*h + 10*h - 266 = 0 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 2*s + 12, 3 = z + 68*s - 71*s. Let x(k) = 13*k**2 + 77*k - 1. Let d be x(z). Solve l = d*b, -4*b + 5 = 4*l + 29 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 0 (c) 0.3 (d) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 + 26. Suppose -n*x = 2*x - 5*v + 255, 3*x + 151 = v. What is the remainder when (x\/(-4))\/((-6)\/(-12)*1) is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1) + -6 + -126 + 135.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 756.0195ml?\nAnswer: 0.7560195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 9747.445ng?\nAnswer: 0.000000000009747445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 - 759172*x + 10628212.\nAnswer: (x - 759158)*(x - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -1.2. Let d = z - -0.2. Let f(s) = s**3 - 2*s**2 - 4*s - 1. Let t be f(-1). Which is the nearest to d? (a) -5\/2 (b) t (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 121527 - -3?\nAnswer: 121531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19.9989 - -20. Round h to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -186 + 467. What is f rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -28d - 47?\nAnswer: -2d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i = 3171 - 497. Let t = 957\/5 + i. Which is the third biggest value? (a) t (b) -10 (c) 1\/2 (d) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*i + 6*i + 18*i**3 - 21 - 84*i.\nAnswer: 18*i**3 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*w - 17*w + 27*w - 14*w + 27*w - 11*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -735*i - 13 = -734*i + 1 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 99 - 77. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 594, 5, 11693.\nAnswer: 5, 594, 11693","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -8*y - 8. What is t(6)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/661 and -25\/7.\nAnswer: 4627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.11003 + -0.11. What is c rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 0*t - 16. Suppose -2*b + 14 = t. Suppose -6 = -2*j + 6*j - 5*n, 0 = b*j - 2*n - 1. Which is bigger: j or 2\/9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 261250643 to the nearest integer?\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1188 by 6.\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 0, 37, -1\/4, 2\/5 in descending order.\nAnswer: 37, 2\/5, 1\/5, 0, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -655*f**3 - 750*f**3 - f**2 + 71 + 1548*f**3 wrt f.\nAnswer: 858","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568390917 to the power of 1\/2, to the nearest integer?\nAnswer: 23841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t, 1 u, and 1 w when four letters picked without replacement from {u: 5, w: 10, t: 4}?\nAnswer: 25\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 f when two letters picked without replacement from hhffhbffoffffhbff?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2424 - 2275.95. Let s = j - 148.049991659. Round s to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4db8 + -d4?\nAnswer: 4ce4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2132 + 377?\nAnswer: 2509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**4 - 4*w - 52*w**2 + 51*w**2 + w**3 + 2*w to v*w**4 + h*w + o*w**3 + y + i*w**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = a - 4*a + 328, 3*a = 3*t + 303. What is the third derivative of -a*f**5 + 203*f**5 - 19*f**2 - 100*f**5 wrt f?\nAnswer: -180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1581119.\nAnswer: 17, 5471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -191, -194, -199, -206?\nAnswer: -215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -277 and 21?\nAnswer: -5817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.93 - 9. Let r = 239\/4 + -60. Let x = 11 + -10.8. What is the closest to r in 1, x, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9182 - 3982. What is u rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**3\/2 + 1502*j**2 - 14995*j\/2 = 0. What is j?\nAnswer: 0, 5, 2999","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 41\/9 (c) -3\/1918\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -132 - -143. What is the highest common factor of 33 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (1\/(16\/132))\/(15\/460)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-893)\/(-470) - 6\/(-60).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/868450 and 47\/10.\nAnswer: 868450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by 37885.\nAnswer: 24\/37885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 20 = 0, -289 = -3*s + 50*k - 51*k. Calculate the remainder when 280 is divided by s.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3408 - 3422 = -5*k + 5*s - 6790, k + 5*s - 70 = -4*k for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*c + 182 = 35*c. What is the remainder when 18 is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 169.7 and 529?\nAnswer: 359.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101011001 (base 2) to base 15.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {c: 2, z: 2, p: 2, b: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 10 = -2*j, -j + f + f = -5. Suppose 47 = j*c - 43. Suppose 0 = 3*v - c + 3. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*i = -278, -3*j - i - 848 = -0*i. Is (20\/(-15))\/(4\/j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17988 divided by -20538\nAnswer: -2998\/3423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -76 - 21021?\nAnswer: -21107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4198635, 4198637, 4198639, 4198641, 4198643, 4198645?\n\"Answer: 2*c + 4198633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 754013.201 to the nearest 1000.\nAnswer: 754000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 564 - 559. Let w(f) = -f**3 - f**2 + f + 1. Let l be w(-2). Suppose v*m - 14 = l*m. Which is smaller: m or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 14) in base 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132921 divided by 3.\nAnswer: 44307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvwv when four letters picked without replacement from vvvw?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4146 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 13*p. Let x(r) = 13*r + 1. Let h(q) = -7*u(q) + 6*x(q). Suppose 4 = -5*z - 21. Let w be h(z). What is w rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/90 and -145\/12?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115847171?\nAnswer: 11, 10531561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 56) + (25 - 26) + (11 - 17)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13656 divided by 12.\nAnswer: -1138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t - 24*t - 279 = 183 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22547049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22482, 22221, 21946, 21651, 21330, 20977?\nAnswer: 20586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-215)\/(-86) - 15\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 125710143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o + 13. Let t(g) = 2*g - 14. Determine 4*h(l) + 3*t(l).\nAnswer: -2*l + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -238091, 0, -5, -4 in decreasing order.\nAnswer: 0, -4, -5, -238091","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18960, 18931, 18886, 18837, 18796?\nAnswer: 18775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/122 and -43\/11?\nAnswer: 1342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -11. Let b = -157\/6 - -77\/3. What is the third biggest value in -1, b, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 9*h**2 - 9*h - 44. Determine c(-6).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -8130*b - 40598. Determine f(-5).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + 1 - 1)*(-2*i**4 - i + i) + 6*i**5 - 5*i**5 - 2*i**5.\nAnswer: -7*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 1334*j**2. Let p(i) = -i. Give p(k(u)).\nAnswer: -1334*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/24 of a millennium?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 6*h - 9. Suppose -83 - 117 = -50*n. Let m be j(n). Which is the biggest value? (a) 1\/4 (b) m (c) -2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (4 - 6 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -l**2\/2 - l - 21. Let j(r) = 2*r + 16. What is the remainder when j(8) is divided by k(-12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -10*r**2 + 4300*r + 2272712. Let x(m) = -3*m**2 + 9*m. Let q(u) = -g(u) + 4*x(u). Find n, given that q(n) = 0.\nAnswer: -1066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1139.2 + 1046. Let d = z + 34.2. Is 4 greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.054469 rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -7*j**2 - 61*j - 84 = 0?\nAnswer: -7, -12\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 100572512 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -88547 * -169\nAnswer: 14964443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 3*q = -291 + 291, -7*f + 25 = -q for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011100100111000001 - -11101111?\nAnswer: -1011100100011010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*g - 197 = 0, -4*t - 4*g + 58 + 74 = 0. Let v(o) = 5 - 2 - t*o + 36*o. Let y be v(0). Sort y, -1, 0 in decreasing order.\nAnswer: y, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 273 divide 833704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 201.6 - 202. Which is the biggest value? (a) m (b) 66 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 85*r - 88*r = -29043, 19350 = 2*w - 2*r. What is the hundreds digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -107 divided by 21?\nAnswer: -107\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -1551505?\nAnswer: 1551501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.38092 micrograms to nanograms.\nAnswer: 1380.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 77 (b) -4 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 1\/3*a**3 - a**2 - 1\/24*a**4 + 0*a + 3 - 1\/60*a**5. Let b(z) be the second derivative of r(z). Determine b(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, d: 3, v: 11, f: 1, g: 1, q: 1}. Give prob of picking 1 c and 1 d.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + (6\/9)\/(22\/33). Suppose -u + g*o = -39, u = -2*u - o + 124. Calculate the remainder when u is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand l + l - 17*l**3 - l + (-2*l**2 + 5*l**2 - 4*l**2)*(-l - 3*l + l).\nAnswer: -14*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - 5*(1 + -2). Let u = o - -1. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 351\/(-45) - (-8)\/10. Let m(p) = 121*p**3 + 4*p - 55. Let y(d) = 243*d**3 + 7*d - 110. Let s(a) = i*m(a) + 4*y(a). Differentiate s(q) with respect to q.\nAnswer: 375*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8983, 8982, 8981?\nAnswer: 8980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) 117 (c) -4\/7 (d) -2.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -11*l + 57 + 9*l**2 + 12*l - 6*l - 51. Let b = -2 + 8. Let d(q) = -8*q**2 + 4*q - 5. Determine b*d(a) + 5*w(a).\nAnswer: -3*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*y = -21*y - 36. Suppose 0 = 8*m - y*m. Suppose m = -5*i + 79 + 4186. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2286, -4571, -6856, -9141, -11426, -13711?\nAnswer: -15996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from abbbbabbabababbb. What is prob of picking 3 b?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**3 - 7*g**2 - 2*g - 12. List the prime factors of p(7).\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, -1\/2, 3\/7.\nAnswer: -48, -1\/2, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1114 + 519. Does 98 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5573, -22304, -50189, -89228?\nAnswer: -139421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b5883 (base 13) in base 8?\nAnswer: 4050221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13725977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13603 is divided by 1132?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -815721, -1, 5.\nAnswer: -815721, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 5:26 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -4, 6.5, -1\/2, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 5 (c) -2 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -f**2\/2 + 3. Let g(m) = -3*m. Let n(o) = -5*a(o) + g(o). Let j(s) = -4*s. Calculate j(n(t)).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23588 + 23948. What is the greatest common divisor of 288 and b?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42289\/54 - -1569\/2. Calculate the common denominator of k and 4\/7.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -22479*t. Let q(u) = 1463*u + 4. Determine q(k(r)).\nAnswer: -32886777*r + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -2*l + 210, 3*l - 21 + 6 = 0. What is the hundreds digit of ((-578)\/4 - -2)*t\/(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 10*d = 0, -4*a + 10*d - 24*d - 10 = -25*d + 66 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1309 + -603?\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 19343*f + 444873. Calculate y(-23).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -15796710 times 7\nAnswer: -110576970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -3 (c) -16\/471 (d) -1\/12 (e) -108\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t + 14*t + 8 + t + 5 - 18*t.\nAnswer: -5*t + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 6*q + 4. Let z be (-99)\/(-2)*(56\/(-6))\/(-14). Suppose z = 5*y - 12. Calculate the lowest common multiple of y and l(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*(-15)\/(-315)*(-2)\/4.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/109 and 49\/9?\nAnswer: 981","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12127\/469 - (3 + (-60)\/28)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004978 rounded to seven decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 57 - 4b1?\nAnswer: -459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11172545.\nAnswer: 5, 191, 11699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/13223340 and -139\/150.\nAnswer: 66116700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 3:31 AM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1840.5 + -1841. Which is the closest to -0.2? (a) -0.055 (b) w (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**3 - 5*n**3 - 2*n**4 + 5*n**2 + n**3 to u + c*n**2 + z*n**3 + s*n**4 + b*n and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 629767119 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 + -24. Let i = l - 9. Suppose -2*k = -i*r + 3*r - 3, -2*r + k = -3. Solve 0*m = 5*m + r*u - 16, -5*m = -4*u - 37 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*a**3*z**5 + 2*a**3*z**2 + 2*a**3 + 80*a*z + 7*z**4 wrt z.\nAnswer: 360*a**3*z**2 + 168*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -763 + 764. Suppose -4*i + 6 = 2. Let h be y - (0\/(-4))\/i. Solve 0 = -f - 0 + h for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u - 77 = -126 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -3\/2 (b) 5 (c) -3192\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 496 = -6*l + 130*l. Which is the nearest to -1? (a) 1\/10 (b) l (c) 3 (d) -88\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 106557 (base 8) to base 14\nAnswer: d2a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2\/6 + 326015*y - 63771468135\/2.\nAnswer: -5*(y - 195609)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -2. Suppose 0*u - 2 = u, -r*h - 2*u - 8 = 0. Let m(q) = -q. Let l(x) = -4*x + 1. Let v(f) = -l(f) + 6*m(f). What is v(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) -1\/6 (c) -3 (d) 7\/4 (e) 81\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uo when two letters picked without replacement from ffpaofu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1164, -4470, -9938, -17568, -27360, -39314, -53430?\n\"Answer: -1081*k**2 - 63*k - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-6*(sqrt(2) + -2 + sqrt(2)) + 4)**2 - (4*(sqrt(6) + sqrt(12)\/sqrt(2) - sqrt(6))\/sqrt(3) + 4).\nAnswer: -7684*sqrt(2) + 11292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 116.1 - 121. Let u = n + 5. Is u < -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 2*z + 15 = 0, -z + 9 + 0 = 4*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2550*r**2. Let t(o) be the first derivative of -o**2\/2 + 478. What is f(t(s))?\nAnswer: 2550*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-14) - 60\/14. Let n(c) = c**3 + 4*c**2 - c. Let h be n(r). Suppose -3*o + 2 = -h. Solve 2*q - 3*j = 17, 6*q = q + o*j + 26 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 75708.989 + -75657. Let m = t + -52. Let r = m + -0.489. Which is the nearest to 1.4? (a) -1\/5 (b) 0.2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from imyscyymmymyy. Give prob of picking 1 i, 1 s, and 2 y.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 0.06, -2\/191, 1, 4 in decreasing order.\nAnswer: 4, 1, 0.06, -2\/191, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6440? (a) -2 (b) 0.14 (c) -4 (d) -7\/5 (e) -1\/7 (f) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 + 3289.\nAnswer: 3279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11781 + 37121 = 4*w + 2*z, 48905 = 4*w + z. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76848525 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-354)\/1062)\/(2\/(-24)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 179931 - 103718. What is the thousands digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 26*o**2 + 26*o + 47. Let j be p(25). Let g be (1 - 2\/(-10))\/(j\/180). Solve 15 = -g*y + 3 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 102 and 10086032.\nAnswer: 30258096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/3*(-51 + 3). Let u = -56 - c. Calculate the remainder when 46 is divided by u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i + 32. Let z(a) = -a + 21. Let l(o) = 5*p(o) - 8*z(o). Determine l(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -105993, -105995, -105997, -105999?\n\"Answer: -2*k - 105991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*h + 13 = 0, j = 4*h - 9 + 4. Solve 0 = -3*c - 15, 2*s + j*c - 3*c = -24 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5392 + 8567 = 9*f. What are the prime factors of f?\nAnswer: 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(325) - 1*(sqrt(325) + -1))*-6 + 2)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(2160\/(-21)) - (-4)\/16?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -108 + 89. Let m(p) be the first derivative of -p**4\/4 - 6*p**3 + 17*p**2\/2 - 13*p - 2. Let d be m(r). Calculate the highest common factor of d and 225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**5\/2 + 259*z**4\/6 - 451*z**3\/6 - 971*z**2\/6 - 44*z = 0?\nAnswer: -88, -1, -1\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2709.153 + 2708. Round b to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118225.1 millilitres in litres?\nAnswer: 118.2251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2347.67 - 397.57. Round b to the nearest one hundred.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104 - ((-35 - 0) + (588 - 566))\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 13 + 3*h**2 + 3*h**2 - h**2 + 0*h**2 + (-2 + 2 - 2*h)*(h - 2 + 2) + 3*h**2 + 1 - 1 - 2*h**2 + 0*h**2 + h**2 as k*h**2 + v + n*h and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 885 + -870. Is (-5)\/15 - (-6740)\/l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/701 - 707\/2103. Put -2, 1\/21, q in increasing order.\nAnswer: -2, q, 1\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - 53*f + 283. Let p be b(6). Sort -2, -3, 10, p.\nAnswer: -3, -2, p, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -5 - (-1 + 4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + 119\/5. What is the closest to 2\/3 in 0.4, 5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-116)\/(-28))\/(-12*35\/2940)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 144 = s - 134, -4*o + 1193 = -5*s. Solve o = -7*z + 238 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 182860 to the nearest 1000.\nAnswer: 183000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 370431 - 261431. Round b to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of 41*z**4\/24 - z**3\/3 - 6*z**2. Suppose -3*q - 17 = 7. Let a be u(q). Round a to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 4*t + 518, -166 + 1194 = -4*o - 4*t. Let n = o + 2802\/11. Calculate the common denominator of -29\/3 and n.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 8:50 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7698 + 659. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 2*k = 0. Suppose k = z - 0*z - 10. Let p be 4100002\/z - (-3)\/(-15). Round p to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**3*f*f*f**7)\/((f\/(f*f**5*f))\/(((f**6*f)\/f*f*f*f)\/f)))\/((f**(1\/3)*f)**(-33))**(4\/7) assuming f is positive.\nAnswer: f**(358\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5270 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 - 15462*r - 529176.\nAnswer: 3*(r - 5188)*(r + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1708\/2440*495\/1617?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 295 + -139. Suppose 6*i - n = 2*i. What is the remainder when i is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 4*a**2 - 2*a + 2. Let j = -6876 + 6875. What is m(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 614*l + 26393 = 5*b + 616*l, -26339 = -5*b + 4*l. What is the greatest common factor of 1477 and b?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*k - 48*k = 39*k + 2268 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**3 - 3*c**3 + 3*c**3)*(-3 + c + 3) + 4 - 2*c**4 - 4.\nAnswer: -6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q - 13. Suppose -n - 3*u = -80, 0*n - 64 = -n + u. Calculate the remainder when n is divided by p(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1804126?\nAnswer: 2, 19, 197, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 6*s - 2*q = 9, -11 = 2*s + 3*q for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9, -29, -53, -81?\n\"Answer: -2*m**2 - 14*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 85259*p*s**4 + 2*p*s + 18947*p with respect to s.\nAnswer: 341036*p*s**3 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*w**3 - 39*w**3 + 25*w**3.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2999 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1148 is divided by 559?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 3, 0.5, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/6)*(n**(-2\/3)*n)\/n*(n\/n**(-6))\/(n*n**0))**36 assuming n is positive.\nAnswer: n**198","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k - 1 + 1)*(14*k - 152 + 74 + 81)*(k**2 - 5*k**2 + 2*k**2) to p*k**2 + o + c*k + n*k**3 + j*k**4 and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -6. Suppose y*f = 6*f - 10. Suppose 4*t - 5*k + 4006 = -2*k, -k - 4998 = f*t. What is t rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/243 and -139\/1804518.\nAnswer: 1804518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, -13, 1\/4, 0.2, -4.\nAnswer: -13, -4, -0.01, 0.2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-62)\/(-7))*(-52)\/(-3458)*-38.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3720*j. Let g(z) = z. Give g(m(f)).\nAnswer: 3720*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 35 = -19. Which is the closest to 1? (a) z (b) -0.1 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.022 * -631275\nAnswer: 13888.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -166*j**2 - 78*j**2 - 6090 + 6091 - j in the form k*j + w*j**2 + u and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 10 + 14. Let d = j - 5. Calculate the greatest common factor of 7 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/170*306\/72.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g\/(g*g**49))))\/g**(-14))**43 assuming g is positive.\nAnswer: g**(-1505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 560*-0.2\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 10\/47, -0.5, -1091, -5?\nAnswer: 10\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1026 and 15162.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t + 61 = 3*r + 3*t, 2*r + 4*t - 48 = 0. Suppose a = -a + r. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.26286310605 minus 0.18?\nAnswer: -3.44286310605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 687*o**2 + 567.\nAnswer: 1374*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 172*t**3 - 4*t**2 - 9*t + 9. Let x be i(1). Calculate the greatest common factor of x and 3288.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -7*g + 2. Give d(-5).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2006, -4, 3 in descending order.\nAnswer: 2006, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + j - 5, -6*u + u + 15 = 3*j. Let h(o) = -o**2 - o + 3. Let a be h(u). Solve 4 = d, 10 = -a*i - 0*d + 4*d for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (3 + 5 + -12 + 8 + 9)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 159\/7 - 521\/14. Let l = 317097 + -17124025\/54. Let r = l - t. What is the third smallest value in -1\/3, r, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441 is divided by 236?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -v + 2*s - 6, 5*s + 55 = -4*v. Let h(d) = 4*d + 62. Let a be h(v). Solve 20 = a*u + 3*n - 0, 4*u - 4*n = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 180\/(-24)*(-2)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 371091296 and 881.\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 7*r - 1. Let x be j(11). Let k = -32 + x. Let l(v) = 3*v - 28. Let f be l(k). Solve 23 + 2 = -f*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of 1 - 1\/3*w**6 + 0*w**2 - 5\/2*w**4 + 4\/3*w**3 + 8\/5*w**5 + 0*w. Factor t(i).\nAnswer: -2*i**2*(i - 2)*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 43, 207, 485, 883, 1407?\n\"Answer: y**3 + 51*y**2 + 4*y - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -362952*w**5\/11 - 310128*w**4\/11 + 1739566*w**3\/11 - 1597914*w**2\/11 + 553770*w\/11 - 66150\/11 = 0.\nAnswer: -3, 1\/3, 105\/142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 239072 (base 10) in base 8?\nAnswer: 722740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(11))*5 + (1*sqrt(110))\/sqrt(10) + -5*sqrt(88)\/(sqrt(200)*1 + sqrt(200)))**2*3.\nAnswer: 330*sqrt(11) + 5193\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 8 = b + 4, -3*m + 2*b = -34. Let r(v) = 16*v**2 - 2*v. Calculate the remainder when r(-2) is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 2:43 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -286\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, l: 3, s: 6, q: 1}. What is prob of picking 1 s, 1 q, and 2 a?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f**2 - 8*f**2 - 3*f**2 - f**2.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1993777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 743467 and 8336.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 424441?\nAnswer: -424442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) -5 (c) 2\/3 (d) 0.6 (e) -512 (f) -3 (g) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -15.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2 + 13*o**3 + 0*o**2 + 13*o**3 - 8*o - 27*o**3 + 4.\nAnswer: -(o - 2)**2*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -337 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*l + 20 + 184 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 316.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y**2 + 2*y - 12. Is u(6) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/1793 and -38\/7.\nAnswer: 12551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -3.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 3*y - 8 = 0, 5*m - 3 = 3*y + 17 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/8925 and 33\/850.\nAnswer: 17850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -69, 2, 4, -0.1, 90, 1\/8 in descending order.\nAnswer: 90, 4, 2, 1\/8, -0.1, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101906.\nAnswer: 2, 7, 29, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/8 and (-9)\/3 + (1089\/70)\/9?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2380392 and 209160.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2. Let n(a) = -8468*a**2 - 4*a. Let t(o) = -25407*o**2 - 14*o. Let u(v) = -7*n(v) + 2*t(v). Calculate u(l(c)).\nAnswer: 33848*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 + -41 + -1 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 97 = q, 31 = -3*o + 5*q + 106. Let i be (o\/16)\/1*-4. Let k(c) = 4*c - 5. Let l(t) = -3*t + 4. Determine i*k(r) - 6*l(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -225434 (base 8) to base 12.\nAnswer: -38390","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/18)\/((-14)\/14))\/((48\/24)\/(-18))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j + 4398 = 181*j + 7182 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 - 375\/8. Let w = -0.2 + -0.8. Which is the second smallest value? (a) 4 (b) w (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1196400 and 209370.\nAnswer: 8374800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*o = -14*o - o + 1344 for o.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a meter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (6*(sqrt(567) + -5))**2*-2 + (sqrt(252) - 1*sqrt(252))\/(4*sqrt(16)).\nAnswer: -42623 + 6480*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*(-30)\/66 - (-280)\/80.\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228)*1)\/sqrt(12) + sqrt(19) + 5*sqrt(76))*2 - ((1*sqrt(114) + sqrt(114))\/sqrt(3))\/(sqrt(98) - -1*sqrt(98)).\nAnswer: 167*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, z: 2, c: 1, l: 2}. Give prob of picking 2 q and 1 l.\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 36*v - 128. Let b(f) = -2*f - 34. What is 8*b(q) - k(q)?\nAnswer: -52*q - 144","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 3, 97, -1, 21 in decreasing order.\nAnswer: 97, 21, 10, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.172 + 1.472. Which is smaller: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 200 + -320. Let x be (f\/160)\/(6\/(-16)). Solve -x*l - 6 - 4 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -9 - 77184\/(-8624) - 2\/(-22). Are 1.53 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 446*p**2\/17 - 11051886*p\/17 + 148680\/17.\nAnswer: 2*(p - 24780)*(223*p - 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((27\/90)\/3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u + 7. Let r be x(6). Suppose -4 + 6 = 2*w. What is the closest to r in w, -4, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5505 - 3.\nAnswer: -5508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87 = 11*b + 34 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 3, -1, 1\/43, -2, 5\/4 in descending order.\nAnswer: 3, 5\/4, 1\/43, -1, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 21 + -13 + -8 + -1 + 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 - 2*a**2 + a**2)*(1 - 1 + 2*a**2) + 17*a**4 + 13 - 13.\nAnswer: 21*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0177 + -0.01770674. Round a to 7 dps.\nAnswer: -0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 751\/1864 + -13\/466. Which is the nearest to -1\/4? (a) w (b) 3 (c) 5 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -392467*x**2 + 5286265*x**2 + 170036*x**2.\nAnswer: 5063834*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71 + -70.1. Which is the nearest to 0.2? (a) 4 (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, f: 1, z: 4, t: 1, l: 4, v: 1}. What is prob of picking 1 z and 1 f?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 669410634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - x + 4*y = -11, -3*y + 6 = x. Does 10 divide (x + -2)\/(5\/1385)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 13 = -3*m + 3*p, -p - 7 = -3*m. Suppose -52435 = m*g - 119. Let w = -27079 - g. What is w rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.41742 millilitres in litres?\nAnswer: 0.02041742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2106 and 13962?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 3*t - 1. Suppose 2*z + 3*a = -29, -4*z + 5*z + 2*a = -12. Let m = -12 - z. Suppose 0 = 5*g - m - 10. Give n(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**3 - 3*w - 2. Let k be f(-2). Let h = 79 - 92. Which is smaller: h or k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -58*(3\/6 - 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*r**2 - 49*r**2 + 124 + 68*r**2 + (-2*r**2 + 4*r**2 - r**2)*(5 - 2 - 1) - 3*r**2 - 2*r**2 + 4*r**2 to p + j*r**2 + x*r and give p.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43.76 + -43.63. Let h be (3\/6)\/((-5)\/(-2)). What is the fourth smallest value in 2\/15, h, -2, u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifteen quarters of a kilometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 281*x**2 + 27*x - 2.\nAnswer: 562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 + 15*z + 10. Calculate c(-10).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 + -0.21. Let p = -333.01003 - -333. Let h = o - p. What is h rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -191.199993929 + 191.2. Round g to 7 decimal places.\nAnswer: 0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000655788 to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + 0. Let l = v - 4. Let b = -183 + 1645\/9. Sort l, -0.1, b in ascending order.\nAnswer: b, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*r - y, -r + 5*y + 28 = 3*r. Let k be (2 - r)*1 - 0. Suppose -2 = -k*n - n. Solve n*f = -0*f - 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -180945265 rounded to the nearest ten thousand?\nAnswer: -180950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -488*g**4*w - 2*g**4 - 2*g**2*w + 44*g*w + 9*g wrt g?\nAnswer: -11712*g*w - 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88285*d = -88290*d + 4*p - 37, 3*p + 16 = -5*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 16164 and -151049.7.\nAnswer: -134885.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -730*h**3 + 11*h**2 - 10*h - 5. List the prime factors of u(-4).\nAnswer: 71, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1185076816?\nAnswer: 2, 7, 11, 19, 50627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4442, 11003, 19678, 30467, 43370, 58387, 75518?\n\"Answer: 1057*u**2 + 3390*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -9*i + 4. Let n = 40 + -33. Suppose -3*l = n - 4. Let h(d) = -d + 1. Let v(w) = l*o(w) + 4*h(w). Let q(k) = 2*k**2. Determine q(v(a)).\nAnswer: 50*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - t + 13*m + 152 = -5*t, -3*t + 4*t + m = 4*t + 2*m for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 186889.\nAnswer: 1308223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -8414?\nAnswer: 1\/4207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lvl when three letters picked without replacement from {l: 3, k: 5, j: 1, s: 3, v: 1, z: 2}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1509 + 2223. What are the prime factors of r?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-94)\/23 + (-2)\/(-23). Which is the biggest value? (a) -4\/25 (b) k (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 3*v + 2. Let g be (-42)\/(-12)*(-3 - v). Let r = -5 - g. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o. Give x(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-210)\/(-12))\/(36\/2592*-30).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -36*l - 356. Is 2 a factor of b(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 193*r - 641. Let j be t(4). Solve 0 = 2*u + j - 135 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 552 - 541. Suppose -n*x + 5772 = -5492. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 576 and 1.3?\nAnswer: 748.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/2 - (-9 - -8). Put y, -4, 32 in increasing order.\nAnswer: -4, y, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237538 is divided by 208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -36, -56, -82, -114, -152?\n\"Answer: -3*p**2 - 11*p - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 + 11 = 4*i + 2*d, i - 26 = d. Let b = -16 + i. Is b even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41923812 divided by -777.\nAnswer: -53956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.12, -3\/7, -0.0446213?\nAnswer: -0.0446213","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26\/7 - -272\/77. Let i = -0.1 - -0.2. Let v = -0.2 - i. Which is the biggest value? (a) -0.1 (b) v (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 5*u - 6. Let i(q) = -5*q + 6. Let y(r) = 5*a(r) + 4*i(r). What is y(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**2 + 2*t. Let i = 13 + -11. Suppose 0 = -i*w - 2*s - 3*s + 1, 0 = 3*w + 2*s + 4. Determine z(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001190569767 to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 2596 - 5183 = 2*s - 2604, 4*c = -s + 11 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o - 206828 + 206828 + 0*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 11690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37*4*35\/((-5600)\/(-40))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 10:01 PM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 3. Let r = 15 - 7. Let j = 9 - r. Sort j, 0.1, b in descending order.\nAnswer: j, 0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - (-9 - -5))*1. Solve o = 3*p - 5*p - 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 3382\nAnswer: -1\/3382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134278075, 134278055, 134278021, 134277973, 134277911?\nAnswer: 134277835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-4)*2*19. Let b = -13 + c. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 1107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + s - 24 - 34 + 10 = -2*s, 3*s = -5*v + 129 for v.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.848804 litres in millilitres?\nAnswer: 848.804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3 - 6 = 0. Which is smaller: g or -5\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -12, 19 in ascending order.\nAnswer: -12, -1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 0.101 (b) 13\/2 (c) 2\/9 (d) 5 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1264*z - 12966*z - 2*z**3 - 12292*z.\nAnswer: -2*z**3 - 23994*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 13*z**2 - 20*z - 8. Let s(p) = -12*p**2 - 20*p - 8. Let h(q) = 3*s(q) - 4*v(q). Find f, given that h(f) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) -0.5 (c) -2\/11 (d) -38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -2 - (0 + (11 - 30))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*p**3 - 1 - 351*p + 6 + 358*p - 4*p**3 + 2*p**4 - 3 to k*p**2 + o*p**3 + d*p**4 + m*p + h and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -819.9880168 to the nearest integer.\nAnswer: -820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 576075 is divided by 11735.\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**4 + 4*s**3 + 12 - 12 - s**4 - s**4 - s**4 + (1 - 2 + 2)*(-4*s**4 + 2*s**4 - 6*s**4).\nAnswer: -7*s**4 + 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - 48975208.948028.\nAnswer: -48975208.448028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -32*j**2 - 615*j. Let f(h) = -15*h**2 - 307*h. Let n(v) = -2*d(v) + 5*f(v). Find the second derivative of n(z) wrt z.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 5*w + 28, -i + 0*i + 6 = -2*w. Let p(y) = 9*y + 3. Let l be p(i). What are the prime factors of (-6)\/l*(33 + 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 64.7216 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1333 * -18.\nAnswer: -23994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1825 + 5589?\nAnswer: 7303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -274*a + 205*a + 131721. Is 83 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 5. Let n = 6 - d. Let m = 9\/7 + -61\/42. Which is the nearest to -1? (a) m (b) n (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20774 + -12167. What is the thousands digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(12\/18*-3) - -6. What is the biggest value in -5, p, 6\/5, 0.2?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 83 + 85. Suppose o + 88 = 5*k. Is k a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*f**2 - 45*f**2 + 25*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -482 - -685. Let u(j) = 33*j - 44*j + 24*j + k*j - 1. Is u(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58\/329 - -1035905\/658. Which is bigger: k or 1574?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 6*y**2 + y - 4. Let a be k(6). Let m = 0 - -3. Solve a*f + m = -1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -19*f + 24*f - 37, 5*x = -5*f + 45 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 40 - (38 + -17 + 20) - 51\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21.5 - -10. Let j = 7 + q. Let v = j - -4.5000041. What is v rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/3565 and -67\/1182154.\nAnswer: 5910770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 + -12?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7121.19ml to litres.\nAnswer: 7.12119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r - r - 7. Let h = 9 - r. Differentiate -6*x + 4*x - x - h wrt x.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.66378 + 15.05533\nAnswer: 15.71911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -44 (b) -508 (c) 1\/6 (d) -5 (e) 0 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-22) + (-508)\/(-3520). Which is greater: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 349.\nAnswer: 4\/349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240*x - 299*x - 249*x + 1037*x - 255*x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13219713953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 177 and 240?\nAnswer: 14160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of 7\/60*z**5 + 0 + 4\/3*z**3 - 8*z**2 + 0*z + 0*z**4. Differentiate i(w) with respect to w.\nAnswer: 14*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, c: 5, l: 5}. What is prob of picking 1 c, 1 s, and 1 l?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o + 1. Let k(m) = 2*m**2 + 2*m - 2. Let l(z) = -2*g(z) - k(z). Let x(u) be the second derivative of 5*u**4\/12 - u. Determine l(x(c)).\nAnswer: -50*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -9, -37, -81, -141, -217, -309?\nAnswer: -417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 4561232.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/9 + 28\/(-16)*80\/(-3). Which is the smallest value? (a) r (b) -2\/21 (c) -3 (d) 0.5 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14234 = -188*q + 53150. Calculate the highest common divisor of q and 333.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -22*d. Let f be w(-1). Let o be (f\/(-8))\/(2*(-2)\/16). Suppose -6*p = -o*p + 240. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5405 - 3005. Does 40 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 140*z - 23. Let c(t) = -70*t + 12. Let v(s) = 9*c(s) + 4*j(s). Let a(w) = -47*w + 11. Let h(m) = -7*a(m) + 5*v(m). Is h(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290600 is divided by 3501?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -5\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - a + 4. Let w be n(3). Suppose 13*o = w*o + 9. Suppose 0 = o*d + 2 + 1, 3*p = 5*d + 86. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 13*j**2 - 11*j + 9. Let r be l(-12). Calculate the smallest common multiple of 2 + r\/(1 - 2) and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 690358 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3552\/28638*6\/16?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9752*-2\nAnswer: -19504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(2\/5))\/x**(8\/9))\/((x\/((x**(-1\/17)\/x)\/x))\/(x*x\/(x*x*(x*x\/(x*x**35))\/x*x*x))) assuming x is positive.\nAnswer: x**(23296\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 8913.\nAnswer: 1\/8913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z + 19. Let b be t(5). Sort -4\/5, b, 2.\nAnswer: -4\/5, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 4*o**2\/3 + 352*o\/3 - 3920\/3 = 0.\nAnswer: -98, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1255 divide 19354702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76252680 divided by 126.\nAnswer: -605180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1804 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 712992?\nAnswer: 2, 3, 7, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m + 2. Let y be b(3). Suppose 0*w - 1000 = -y*w. Calculate the highest common divisor of 80 and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 18608.\nAnswer: -1\/4652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2ad - 358a3?\nAnswer: -355d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 464*c + 7990. List the prime factors of l(69).\nAnswer: 2, 83, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 70\/45873 and -31\/8718.\nAnswer: 133306938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 3*y + 14. Let w be i(0). Let k = w + -7. Calculate the greatest common factor of k and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzyttmch. What is prob of picking 1 y and 1 c?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 5*u + 568, 2*l + 0*u - 284 = -u. Suppose 48*j - 47*j + 86 = 0. Let y = l + j. Does 28 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-2))\/(2 - (-34)\/(-20)). What are the prime factors of 1098*-5*p\/(-50)?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2462\/11 - -224. What is the third smallest value in z, 2\/13, 1, 2\/15?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17016984 is divided by 304.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58.9 + 59. Which is the closest to -1\/5? (a) -0.3 (b) q (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0519 + -25.0481. Let b = m + 24.7. What is the nearest to 0 in b, -2\/11, -2, 0.5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.27 - 86.73. Let p = j - -87.5. Let a be 6\/(-9)*(-18)\/4. What is the nearest to -1 in p, -3, a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 4*x + 231 = 0. Let l be 4995\/35 + (-6)\/x. Calculate the greatest common factor of l and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 - (-100 - -48) - 9?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1204 + -1024?\nAnswer: -2232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -0*t + 205. Let s = t - -87\/2. Find the common denominator of s and -41\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 3*r**2 - 4*r - 3. Let o(l) = -l**2 - 5*l - 6. Let i be o(-4). Calculate m(i).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 86 - 83. Suppose f*a + 2*a - 2*a = 0. Find l, given that -4\/3*l**4 - 2\/3*l**5 + a + 2\/3*l**3 + 4\/3*l**2 + 0*l = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m - 827. Let g(f) = -12. Give a(d) + 3*g(d).\nAnswer: 2*d - 863","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/6)\/9*15\/5.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**8*k)\/k**7*(k**(-1))**(-9) assuming k is positive.\nAnswer: k**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 p when three letters picked without replacement from {w: 2, p: 1, d: 1, l: 2, b: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c + 19 + 9 - 12 - 16.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -7. Let s = -5 + v. Does s = -5\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -7, -1 in ascending order.\nAnswer: -7, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -137.73 - -138.73. Put b, 1\/3, -1, 0, -2\/9 in increasing order.\nAnswer: -1, -2\/9, 0, 1\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5*r**2 - 8*r - 5. Is m(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/12)\/((-80)\/128))\/(-1).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -392395 + 31?\nAnswer: -392364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sd when two letters picked without replacement from {a: 1, v: 2, d: 8, z: 2, c: 3, s: 1}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -21a (base 12) to base 15\nAnswer: -15a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2824243636 minus -0.008?\nAnswer: -2824243635.992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22705 a multiple of 239?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 + -14. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*t - 2*t + 3*m, -3*m = 0. Suppose -2*z - 13 = -3*o, 0*z - 21 = -5*o + 3*z. Solve y = x - 4*y - 4, t*x = o*y + 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 14929966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, 4, -157, -3\/4, 2\/19?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4628 + 4629. What is the closest to 1\/5 in -1\/4, 45, s?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7 + -1)\/((-6)\/(-4)). Suppose c*l = 2*l + 10. Suppose 0*w - w + 3*z = -18, w - l*z - 26 = 0. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000015 rounded to 7 decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3484 or 0?\nAnswer: 3484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/72 and -139\/48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**5\/((x\/(x\/(x\/x**(-5))))\/x*x)*((x\/x**1)\/x)**46)\/((x*x*x\/((x\/x**0*x)\/x))**(-7\/9)*((x*(x\/x**(-1\/3))\/x)\/x)**35) assuming x is positive.\nAnswer: x**(-514\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42705677700*h + 42705677700*h + 19*h**2.\nAnswer: 19*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3*z = 2*a + 15, a = z. Suppose -2*n + 34 = 3*j, 2*j - n = -0*j + 18. Let c = -14 + j. Sort -2, c, a in ascending order.\nAnswer: c, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, f: 1, s: 2}. What is prob of picking 2 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99108, -98136, -97160, -96180, -95196, -94208, -93216?\nAnswer: -92220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -80, -1, -4992?\nAnswer: -4992","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4224641400 rounded to the nearest one million?\nAnswer: 4225000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*i + 2*i + 4*i + 5*i - 3*i - i + (5 + 0 - 4)*(i - 2 + 2))*(7 + 2 - 4 - 2 + 0 + 3 + (2 + 4 - 4)*(1 - 1 - 2)) in the form h + p*i and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 169 divided by 2909862\nAnswer: 169\/2909862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 46 + 8 + -43 - 54\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 m when two letters picked without replacement from {z: 3, y: 1, m: 5, h: 3, n: 6, g: 1}?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0270764 to four dps.\nAnswer: -0.0271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 4*c**2 - 700390*c - 2. Let d(a) = -a**2. Determine b(d(l)).\nAnswer: 4*l**4 + 700390*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**12)**(-21) assuming u is positive.\nAnswer: u**(-252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -10*n**3 - n**2 + 5*n + 2. What is r(2)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 230, 229, 228, 227, 226, 225?\nAnswer: 224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1368 and 114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1967250\/219730 + 2*(-18)\/4. Is u bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 998 + -1002. What is the lowest common multiple of ((-18)\/5)\/(r\/920*4) and 15?\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -23, -44, -65?\n\"Answer: -21*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 6648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t + 6. Let m be x(3). Suppose -3*z = m*z. Solve -1\/5*p**3 + 2\/5*p**2 - 1\/5*p + z = 0 for p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -165.9999436 + 166. What is n rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4\/48547?\nAnswer: -4\/48547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*s**3 - 1657*s + 10*s**3 - 24487*s**4 - 10*s**3 + 24216*s**4 wrt s?\nAnswer: -3252*s**2 + 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 17435*66\/385 + (-32)\/(-28). What is the highest common divisor of 26 and a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -2*n**7\/525 + 2*n**6\/75 - n**5\/15 + n**4\/15 - 7*n**2. Find h, given that x(h) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 4*j - 5, 4*w - 3 = 1 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 q when two letters picked without replacement from idisvvvtiviiq.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -125.9, 5, -85, -5, -2 in increasing order.\nAnswer: -125.9, -85, -5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7852272932 to the nearest integer?\nAnswer: 88613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62981634 is divided by 189134?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -733 or -981?\nAnswer: -733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 620911?\nAnswer: 620911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4924245 is divided by 323.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-29 + 27 + (1 - 0))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -955605 divided by 5\nAnswer: -191121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 9, f: 3, j: 4, o: 2}. What is prob of sequence wf?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 5:25 PM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -2. Let q be c\/((1 - 3) + 3). Is 2\/q + 376\/24 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and 11821 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.4 and -15?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-118)\/(-4) - (91\/(-14) + 6). Let f be g*((-3)\/(-18))\/(5\/15). Let y(b) = -b**2 + 14*b + 16. What is y(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2114.\nAnswer: 2, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -15.4. Let n be 2 - (40\/(-18))\/(-1). What is the second smallest value in g, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k - 210 + 188 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 9*a**3 + 4 - 7*a**2 - 10*a**3 + 37*a - 50*a. Let y be v(-4). Solve -10*c = -y*c + 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*z = 30, -3*a + 35 = -9*z + 4*z. What is the first derivative of -7*n - 40 + 91*n**2 - 2*n + a*n**2 + 9*n wrt n?\nAnswer: 222*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -2011*w**2\/2 - 23*w - 991. Find the first derivative of o(d) wrt d.\nAnswer: -2011","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -16*t**2 + 7*t + 74. Let w(y) = 5*y**2 - 2*y - 25. Suppose 25*j = 17*j + 56. Let r(a) = j*w(a) + 2*f(a). Find p such that r(p) = 0.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7925845 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 270, 2, -113, 5.\nAnswer: -113, 2, 5, 270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 4*i - 8 + 20, -4*d = 5*i - 26. Let x = 0.3 + -0.2. Let j = -0.3 - -0.5. What is the closest to x in j, -1\/2, i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kdykvkkyk. Give prob of sequence vk.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 47 + 17. Suppose 5*b + p = 403, -b - 7*p + 79 = -m*p. Let j be (-2)\/(-6) + 52\/6. What is the highest common factor of j and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2197 rounded to two decimal places?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 212510 and -96?\nAnswer: -20400960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1054 and 1802?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005427433 rounded to seven decimal places?\nAnswer: -0.0000543","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3600, 9234, 14868, 20502?\nAnswer: 26136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3783 or 0?\nAnswer: 2\/3783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167076.\nAnswer: 2, 3, 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 280731*h**4 + 40476*h**2 wrt h.\nAnswer: 6737544*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 - 1363 = 8*x. Let j = x + 2037\/11. What is the second smallest value in 0.2, 2\/7, -0.5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.3618848 rounded to 3 dps?\nAnswer: -3.362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*l**3\/9 - 182*l**2\/9 + 226*l\/9 - 20\/3.\nAnswer: 2*(l - 10)*(l - 1)*(8*l - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 at least 15494\/91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*p**2 - 3*p**2 + 47*p**3 - 35*p**3 - 80*p**2 - 14*p**3.\nAnswer: -2*p**3 - 148*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 208973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from xddxxuudxuudux?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21388935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2437 - 931 + 1080 = 2*p. Solve 2*x - 1305 = -p for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooooowzzoopopooooww. What is prob of picking 1 w, 1 p, and 1 o?\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20100117 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211852 is divided by 41.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 4 + 7 - 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 8 = -y, 32*w + 10*y = 36*w - 32 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 90d453 (base 14) to base 4\nAnswer: 102212222101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p = -18*p + 8. Suppose -p*k = 3*x - x - 132016, -66004 = -x - k. Round x to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*u + 72*u + 192 = 0. Suppose 0 = -14*i + u + 90. Is i a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17969, -71640, -161093, -286328, -447345, -644144, -876725?\nAnswer: -1145088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*h - 82*h - 58*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -4*t**5 + 4*t**4 + 16*t**3 - 16*t**2 = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -95\nAnswer: -285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*c - 87*c - 84 - 210 = -10*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 364.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 6 and -478.\nAnswer: -472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oio when three letters picked without replacement from qihoicoiii.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2)\/((z**1*z)\/z))\/(z*z**3*z**(3\/7)) assuming z is positive.\nAnswer: z**(-52\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + r + 2. Let g(b) = -b**2 - 11*b. Let x be g(-11). Let z be f(x). Solve -z*d = -4*w + 3*d + 6, 2*d = 4*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1384 + 24. Suppose c = 15*l - 4*l. What is the greatest common divisor of l and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -864*d**2 + 11922*d + 2484. Calculate l(14).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -16.507 + 0.012\nAnswer: -16.495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*l - 5 = 114*l. Suppose 149 = l*a + 2*k, -7*a = -2*a - 3*k - 164. Factor -13*f**2 - 67 - f**4 + a - 12*f + 32 - 6*f**3.\nAnswer: -(f + 1)**2*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -121*u**7\/210 + 268*u**3\/3 + u**2 + 147. Differentiate a(k) with respect to k.\nAnswer: -484*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - (-5)\/((-5)\/(-664)). Let n = -390 + x. What is the first derivative of -22*r**3 - 19 + 271*r - n*r wrt r?\nAnswer: -66*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17aa8a1 + 2?\nAnswer: 17aa8a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)*3)\/(sqrt(18)\/(sqrt(18)\/sqrt(2))).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4411763ml in litres?\nAnswer: 0.0004411763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o - 3*o + 0*o + (12 - 12 - 4*o)*(-1 + 1 + 1) + (-1 + 4 - 2)*(-20*o + 8 - 8).\nAnswer: -27*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 4*o + 5*t, -4*o + t + 38 = -2*o. Solve 0 = -5*c - 0 + o for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -18, -1, -5, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -37*r**2 - 50*r - 9. Determine l(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 + -1 - -14 - -46?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5873898*r**3 - 14677*r**2 + 47*r - 2 wrt r?\nAnswer: -35243388","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 272*u**2. Let y(r) = -7*r. Calculate m(y(j)).\nAnswer: 13328*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2698 = -41*x + 7634. Calculate the lowest common multiple of 44 and x.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -0*y. Suppose -b = -y*b - u - 107, b - 123 = -3*u. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2. Let x(h) be the third derivative of h**5\/60 - h**4\/24 + h**3\/3 + 2123*h**2 - 2*h. What is -6*n(b) - x(b)?\nAnswer: 5*b**2 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 332561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 l, and 2 d when four letters picked without replacement from {o: 1, l: 1, q: 2, d: 2, a: 1, w: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70187671 to the nearest integer?\nAnswer: 8378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t + 11. Let d be m(-4). Solve d*r + 16 = 1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 3*f**2 - 2*f - 2. Let g be k(4). Let v(s) = -2*s. Let j be v(1). Let c be j + 21 - (4 + -3). Solve 3*h - c = -g for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 + -1.1. Let v = -723 - -736.4. Let m = s + v. Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 2\/21, 0, 2\/137, 750 in decreasing order.\nAnswer: 750, 2\/21, 2\/137, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 29\/7 - 2\/14. Suppose -3*y - l*g + 2*g = -19, 2*y - g = 15. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.629 - -0.309. Let s = -2.32 - l. What is the second smallest value in -2, -2\/35, s?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 7*b - 4. Suppose z - 4*c = 2, -5*z + 2*c - 29 + 3 = 0. What is the lowest common multiple of 8 and h(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 838 + 554. List the prime factors of a.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6 - -1. Let w = 6 + -5.6. Let c = -3.6 - w. What is the second smallest value in -0.1, d, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppuaff. Give prob of sequence fu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 336.84234 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14405*n + 14408*n - 24 = -18*t, -6 = -2*n - 2*t for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 times 22.6?\nAnswer: -2147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 177*8\/(-18)*-3. Suppose 5*k + s = 976. Suppose -4*l = -k - 12. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1716580070 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 15*g**2 - 14*g - 22. Let c be 1\/((-5)\/(-20)*2). Suppose 20 = c*d - 12. What is the remainder when 39 is divided by q(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/(-3))\/((-1)\/3). Let v = -137 - -194. Let l = v - q. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 67\/5 of a decade?\nAnswer: 134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (5840 + -5834)\/((-4)\/(-6) + (-40)\/42)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1160 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -t + 5. Suppose -4*z + 155 = 15. Calculate the highest common divisor of t and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/125*5)\/((-24)\/(-80))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*d - 0. Let c be (1 - 1) + d + -13300002. Round c to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*l**3 - 10*l**3 + 4*l**3)*(10*l - 11*l - 11*l)*(0 + 0 + 5) as d*l**2 + o*l**3 + r + a*l + n*l**4 and give n.\nAnswer: 900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhfggfnfnfnrnfffnanf. Give prob of sequence rgag.\nAnswer: 1\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 9. Let h = -3 - f. Suppose h = -3*g - 9 + 27. Solve -i - i = -g, -2*i = 3*j + 9 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u + 2. Let i be g(2). Does 2 divide (0 + i)*(-3)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 33, -2, 2, -0.4?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 391, -364, -2261, -5300?\n\"Answer: -571*d**2 + 958*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -190*(544\/80 - 7). Solve 67*y + 239 = m for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/12 and 37\/558.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + sqrt(252)*2 + 1 - ((sqrt(112) - 1*(0 + sqrt(112) - sqrt(112)))**2 - (1 + sqrt(112))**2*6)).\nAnswer: 240*sqrt(7) + 2284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171*h**2 - 7*h + 34*h**2 + 314*h**2 + 6*h.\nAnswer: 519*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 194168\nAnswer: -776672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 77\/(-5) - (-2)\/5. Let d = n - -55. What is the remainder when d is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**2\/3 + 9613238*s\/3 - 25635344 = 0.\nAnswer: -4806627, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16.6184 - -2.38216. Let v = h + -19. Round v to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 658 = 2*q. Let p(w) = -w**3 - w**2 + 7*w + 6. Let f be p(-3). Suppose -m = 2*h + m - 134, -5*h = f*m - q. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44151.68mm to kilometers.\nAnswer: 0.04415168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 1:55 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 24279.59 millilitres?\nAnswer: 24.27959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22767 is divided by 22708?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 265 divided by -23\nAnswer: -265\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 i when three letters picked without replacement from ffififffff.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 11*w**2 - 4*w + 5. Let i be d(1). Solve 2*f + i = -2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 0*j**3 + 0*j + 0*j**4 + 1\/2*j**2 - 2 + 1\/15*j**5. Let n(i) be the second derivative of v(i). Let u(m) = m. Give u(n(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1448*c**2 - c - 10*c**3 + 2 - 1448*c**2 in the form v + i*c**3 + s*c**2 + n*c and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12235 - -405?\nAnswer: 12642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15401, 5, 1, 9, -6.\nAnswer: -6, 1, 5, 9, 15401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**2*o*o)**(8\/9)\/(o**(-1))**(-50))**(-12))**(-4\/15) assuming o is positive.\nAnswer: o**(-1312\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 11:19 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 161, 0.5, -0.4, 2, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6405.19 nanograms in kilograms?\nAnswer: 0.00000000640519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 6, -4*l = -q - 28351 - 11055. What are the prime factors of l?\nAnswer: 2, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 4*y + 9 + 5, -15 = -3*y. Let w be (-14)\/(-8)*j\/(-7). Let x = -6 + 1. What is the nearest to -1 in x, w, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1518 divided by 2?\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v - 8. Let d be f(-19). Let i = d - 10. Calculate the highest common divisor of 9 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 608 + 940 = 6*j. Let n = j + -50. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2981 by -2639.\nAnswer: 2981\/2639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 18*q**2 - 147*q - 49. Let y be j(-24). Calculate the highest common divisor of y and 1817.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-2 + (108\/21 - 2))\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 1923 = 4*w, 2*w + 51 = 47. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 + 4)*(-42*y**2 - 18*y**4 + 42*y**2) to the form b*y**4 + g*y + p + t*y**3 + d*y**2 and give b.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 687, -14, -4, 9, 4, -9 in decreasing order.\nAnswer: 687, 9, 4, 2, -4, -9, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m + 2*l + 4, 4*m - 8281*l + 26 = -8276*l for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -879? (a) 1 (b) 1\/17 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 82 - 67. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43752509095 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 greater than or equal to 3.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 214844787 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111100 + -110100?\nAnswer: -101110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22700.\nAnswer: 2, 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -0.0783, -2.9, -0.5 in ascending order.\nAnswer: -2.9, -0.5, -0.0783, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13989690 is divided by 97830.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 + 21*f - 57 + 100*f + 13 + 27 - f**2 as b + r*f + u*f**2 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 432 a factor of 4371408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 330 and 53232498.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4652 divided by -1163?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 288092?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + 12 + (-34 - -21 - (2 + 108)).\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31*b**3 - 9*b**3 + 0*b**3 + (2*b**3 - 2*b**3 + b**3)*(7 + 9 + 13)*(-4 + 2 + 1).\nAnswer: -69*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -n + 0 + 1\/6*n**4 + 1\/10*n**6 + 0*n**5 + 0*n**2 + 0*n**3. Find the third derivative of c(d) wrt d.\nAnswer: 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/525*1*7*(-4)\/(-6).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -692 = -5*d + 4*j, 690 = -0*d + 5*d - 5*j. Let s = d - 77. What is the greatest common divisor of s and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 9*d - 20 = 0, -r + d - 16*d - 5*d - 54 = d for r.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (167*q - 52*q**3 - 167*q)*(2 - 2 - 3*q).\nAnswer: 156*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 8 = -5*m + 34, -3*m + 33 = 4*v. Suppose m*y + 237 + 8 = 0. Let c be ((-14)\/y)\/(2\/25). Solve 0 = 3*s + c + 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b + 42. Let k be 4\/(-7) - (-272)\/(-14). Let l be a(k). Suppose 3*f = 6*f - 5*h - 7, l*h = -5*f - 40. Is f > -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13419730*w + 14*w**3 - 13419730*w.\nAnswer: 14*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 107141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-20)\/24*(-6)\/15*2514?\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a - 5*y - 39, 104 = -5*a - 4*y + 65 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-680)\/(-112) - 6)*-2*3 and -49\/40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(3\/7)*w**(3\/5))\/(w**(1\/3)\/w)**(-49))**(-2\/61) assuming w is positive.\nAnswer: w**(6434\/6405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*d - 2*d**2 + 61*d - 31*d.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48.849950878 - 48.85. What is a rounded to six dps?\nAnswer: -0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2332, 4610, 6888?\nAnswer: 9166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -412927999 - -412925219.4510062. Let q = -2779.58 - v. Let c = q - -0.031. Round c to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26768 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -5*z, 13 = 5*z + 3. Let a(n) = 2 - 3 + 4*n - 4. Let k(p) = 6836*p + 4 + 2 - 6841*p. What is c*k(g) - 6*a(g)?\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 144*a**2 + 643989*a - 78961464.\nAnswer: 288*a + 643989","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(1\/12))**(-30) assuming w is positive.\nAnswer: w**(-55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.69 + 1.71. Sort y, 2\/3, -3, -4 in decreasing order.\nAnswer: 2\/3, y, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**3 + 3*z**2 - z - 12. Let k(h) = -2*h**3 + 4*h**2 - 2*h - 12. Give 2*k(w) - 3*m(w).\nAnswer: 2*w**3 - w**2 - w + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -72 + 74. Suppose 28 = 3*t + 2*t + b, x*b = -4*t + 26. Suppose -3*k + 3*w + 465003 = 6*w, -5 = -t*w. Round k to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (2 + -1)) + -6 + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/1 + 25\/10)*0. Let q be (-2743)\/(-1625)*-3 + 10\/2. Is f greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -128 + -33?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*o*t**4 + 2*o*t + 134*o + 12*t**4 wrt t.\nAnswer: -8*o*t**3 + 2*o + 48*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 5*s - 228 = 0. Calculate the remainder when 189 is divided by s.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112776656?\nAnswer: 2, 2633, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 765871 is divided by 735.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and 4290.\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**4\/2 - 5265*t**3 - 179931*t**2\/2 + 95229*t = 0 for t.\nAnswer: -18, 0, 1, 3527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110111011 (base 2) to base 4.\nAnswer: 32323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14882763943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0.5, 2\/7, -70, 26594.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y + 18 - 18 - 8*y in the form i + o*y and give o.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*u**4 - 31*u**2 - 174*u.\nAnswer: -36*u**2 - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s + 313 = -545. Does 8 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, 4, -1, -137, -3 in increasing order.\nAnswer: -137, -3, -1, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*g + 7. Let u be ((-28)\/g)\/(2\/(-240)). Suppose 5*v - u = 2*v. Calculate the remainder when v is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -308 + 1082. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 5:39 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 193600 divided by -1100?\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 70 = -5*s, -c + 4*s - 10 = -s. What is the second derivative of -2*k**2 + 26*k**2 + 18*k - 7*k**2 + c*k**2 wrt k?\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 a factor of 373830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 60495 and -3?\nAnswer: -181485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1326, 1542, 1744, 1932?\nAnswer: 2106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-4*(-4*(3*sqrt(500))**2*2 + 5).\nAnswer: -863880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -5*u**3 - u**2 - 2*u - 1. Let s be z(-1). Let o = 36 + -16. What is the highest common factor of o and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -96124 bigger than -96124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6)\/(b*b**15))\/(b\/(b\/(b\/(b*b*b\/(((b*b**(3\/10))\/b)\/b)))*b)*b**(1\/2)*b) assuming b is positive.\nAnswer: b**(-99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 5)\/4 - (-42 + -1). Let r = 172923 - 80997. Is r\/g - (-4)\/14 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 53157, 53638, 54119?\n\"Answer: 481*m + 52676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -279, 0, 2 in decreasing order.\nAnswer: 2, 0, -279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, j: 2, q: 4}. What is prob of sequence jqss?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**4 - 2*n**3 + 2*n**2 + 2. Let k(z) = -2*z**4 + 4*z**3 + 77*z**2 - 466. Let x(r) = -2*j(r) - k(r). Find the first derivative of x(c) wrt c.\nAnswer: -8*c**3 - 162*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1095 times -5?\nAnswer: -0.5475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -2. Let t be (-3)\/n + (-9)\/4. Does 10 divide (-4)\/4 + (t - -44)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 1\/2*u**3 + 17 + 1\/10*u**5 - 19\/15*u**6 - 2*u + 0*u**4 - 5*u**2. What is the second derivative of j(f) wrt f?\nAnswer: -456*f**2 + 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/4153880 and -71\/10.\nAnswer: 4153880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9041 a factor of 1015577402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -917\/3 - -312. Is -1\/4 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(-2*p**2 - 2*p**2 + 5*p**2)*((3 - 2*p - 3)*(-4*p + 5*p - 2*p) + 1 - 1 + p**2 + 154*p**2 - 79*p**2 - 74*p**2).\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 788*u**2 - 521*u - 521. Calculate f(-1).\nAnswer: 788","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -3. Let m(g) = g**3 + 6*g**2 - g - 1. Suppose 3*l = 528 - 486. Calculate the remainder when l is divided by m(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1053, -2103, -3153, -4203, -5253?\n\"Answer: -1050*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3982507.\nAnswer: 61, 65287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4803*r + 2*t = -4800*r - 1286, 3*r + 5*t - 1321 = 0. Calculate the highest common divisor of r and 276.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117791 is divided by 110?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of 7*q**5\/60 + 1117*q**4\/24 + 106*q**3 - 41*q**2 - 53*q. Factor w(k).\nAnswer: (k + 159)*(7*k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 + 40. Let s = 17 + g. Solve -s*k + 5 = -11 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 62927 = 3*k - 62903, -21 = -2*d + 3*k for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 49212.96ug?\nAnswer: 0.04921296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60 - -58. What is the smallest value in -1, -0.4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4840660 = -9*a + 34342660. What is a rounded to the nearest one hundred thousand?\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2841.49509 - -2860.495. Let z = -39 + 20. Let a = m + z. What is a rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/5)\/(7\/14). Suppose -2*o + a + 3 + 0 = 0, -o = -5*a + 3. Factor -2\/5*x**2 - c*x**4 - o*x**3 + 0 + 0*x.\nAnswer: -2*x**2*(x + 1)*(4*x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7184458?\nAnswer: 2, 61, 58889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32.8 * 0.2.\nAnswer: -6.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8205 and 37743.\nAnswer: 188715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of y**9\/3024 + y**8\/672 - y**7\/168 - y**6\/36 + y**5\/6 + 9*y**4\/2 + 6*y. Let p(s) be the third derivative of v(s). Factor p(q).\nAnswer: 5*(q - 1)**2*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 55*y**3 - 32*y**2 + 31*y - 4. What is the hundreds digit of g(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -221010 (base 3) in base 13?\nAnswer: -402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 444091.93389?\nAnswer: -444091.63389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 232 divided by -5?\nAnswer: -232\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 210*x**3 - 4*x + 123*x**3 + 7*x + 244*x**3 - 119*x**3 as l*x**3 + k*x + z*x**2 + j and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 84491 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/11382976 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 3 + 3)*(-4*w**4 + 5*w**4 + 0*w**4) + (3*w**3 - 3*w**4 - 3*w**3)*(987 + 1172 - 2454) as n + c*w**2 + g*w**3 + p*w + v*w**4 and give v.\nAnswer: 886","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 2*d + 2. Let c(m) = 5*m**2 - 11*m + 11. Let v(h) = -6*c(h) + 33*s(h). Let z(a) = -6*a - 340085 + 340085. Calculate v(z(o)).\nAnswer: 108*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w + 6. Let g be h(-9). Let r(y) = y + 7. Let s be r(g). Suppose 2908 = 8*t - s*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 15) + (89 - -60 - (27 + 12))?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13443 = -148*x - 163*x - 17640 - 18506 for x.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -19*m + 3*m + 24820. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/18*12\/8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 259 = -20. Suppose 5*u = -3*s + 37, -k = 2*s - 6*s - 3*u. Solve d = s*d - 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4 = -2*h + 4*q, 0 = h - q - 2. Let m(r) = -9*r - 4. Let s be m(h). Let b = s + 39. Solve g = 2*n + 7, 4*n = -0*n + g - b for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -28765443, -28765442, -28765441?\n\"Answer: a - 28765444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3064864 and 288.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 20 = 1. Let s be 5\/25 - r\/(-5). Suppose 0 = -i + s*i - 144. Does 21 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 0, 0.2, -7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 3*d + 4215, -2*w + d = -906 - 1906. What is the first derivative of -1396 + 4*g**3 + 12*g**3 + w wrt g?\nAnswer: 48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 2*a + 11. Let d(n) = 2*n**2 + 5*n + 33. Give -3*d(f) + 8*r(f).\nAnswer: 2*f**2 + f - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -573*m - 5168. Give d(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28079449?\nAnswer: 28079449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 1:35 AM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2835 and 2430.\nAnswer: 17010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.743, 0.4, -4, -0.2 in ascending order.\nAnswer: -4, -0.743, -0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirty-seven fifths of a gram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(28)\/sqrt(7)*-4).\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37165 + m**2 + 37165.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 903962097?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351 = 191*s - 222 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**4*w)**(12\/7)\/(w*w**(-3\/7)*w*w*w\/(w**(-3\/8)\/w*w)) assuming w is positive.\nAnswer: w**(-59\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -304093.99982 + 304100. Let q = 4 - 10. Let x = g + q. What is x rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.066 times 56.87\nAnswer: 3.75342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/2, 4.053, -6, -3\/4, -0.2, -40?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 1:07 AM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrlllrrrrrrrrrrl. What is prob of picking 2 l and 1 r?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 13 = -4*x, 5*x = x + 5*v + 31. Let q = x - -9. What are the prime factors of (q + 1)*(-3 + 4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/49 and 4\/105.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 24 = i - 2*i, 3*i + 4 = -2*u. Let d be (u\/96)\/((-9)\/12). Which is smaller: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(-1)\/2*(-38)\/(-133).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 2*d + 1, 5*l - 11 = -2*d - 2*d. Let p = l - 1. Let g(n) = 5*n. What is the units digit of g(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 3024300?\nAnswer: -3024277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53966669*j - 2*j**2 + 53966669*j - 7 + 7.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -9, -27, -2, 7 in descending order.\nAnswer: 7, 2, -2, -9, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01573027 rounded to four decimal places?\nAnswer: 0.0157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*z = 88*z + 2545. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*k**2 - 5 + 5 + (-k - 3*k + 3*k)*(2*k + k - 2*k))*(2*k**2 + 7*k**2 - 3*k**2) to the form u + o*k**2 + j*k + z*k**4 + a*k**3 and give z.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13.3 + -13. Let p = 7571\/15 - 505. Let r be (-2)\/(-4) + 2 + -2. Sort l, r, p in ascending order.\nAnswer: p, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -177*(2\/(-6) - (4 - 4))?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 1:17 PM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in 4\/5, 4, -1\/51, 698?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 2560734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1*921.6\nAnswer: -921.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -1. Let x be 1*(4 - -28 - s). Suppose x = w + 21. Calculate the smallest common multiple of w and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2\/23))\/a**(1\/10)*a**(-1\/2)\/a**24 assuming a is positive.\nAnswer: a**(-2724\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 431085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**4 + 2*h**2 + 228 + 225 - 456 - h**3 + h + h to n*h**2 + v*h + t*h**3 + b + x*h**4 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 128*y**2 + 17 - 5.\nAnswer: 128*y**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 6*t**2 - 13. Let f be w(-6). Let x = f - -15. Solve q + x = -2 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114, 66, 2, -78?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25059 - 25231.89. Let f = x - -172. Round f to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41934*r**2 + 379621*r**2 + 29801*r**2.\nAnswer: 451356*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*z - 9*z + 390 = 0. Suppose z*h - 23*h = -280. Let t(f) = -3*f**3 - f + 2. Let u be t(-2). Calculate the greatest common factor of u and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 29910 and -5.\nAnswer: 29905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21.7 + 18.7. Which is the fourth biggest value? (a) -0.5 (b) -1\/12 (c) p (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 71, 121, 145, 131, 67, -59, -259, -545?\n\"Answer: -2*j**3 - j**2 + 67*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -6*l**2 - 3 + 1 - l + 0 + l**3 - 2*l**3. Let h be t(-6). Calculate the remainder when 54 is divided by h\/10*105\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4527428?\nAnswer: 2, 1131857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 45.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 12:40 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, d: 5, i: 3}. What is prob of sequence dcc?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2200 - 2204. Let o(y) = -2*y**2 - 3*y - 2. Let f(j) = 2*j**2 + 4*j + 3. Determine u*f(h) - 5*o(h).\nAnswer: 2*h**2 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -4*v + 3*u + 506, 0 = 3*v - 2*u + 388. Let m = -125 - v. Determine k so that -177*k**3 + 28*k**2 + 173*k**m + 16 - 32*k - 8*k**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*f**2 - 9*f**2 + 4*f - 6*f)*(4 - 5 + 8) + (f - 2 + 2)*(-f + 5*f - f).\nAnswer: 66*f**2 - 14*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*q**2 + 2 + 7*q**2 + 0 - 4 as u + o*q**2 + f*q and give o.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t*t**(1\/37)*t))\/t**(-2\/21) assuming t is positive.\nAnswer: t**(-1501\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 + -1)\/((-6)\/4). Is -1 + 11 + (-2)\/h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24.62 - -24.6197789. What is t rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 - -21. Let h(f) be the first derivative of -3 + 3*f + 3\/4*f**4 + 0*f**2 + 0*f**g. Differentiate h(c) wrt c.\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47051, -94103, -141153, -188201, -235247?\nAnswer: -282291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*m - 6, m + 17 = 4*j - 7. Suppose -18340 = -j*u - 22*u. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 1\/2 (b) -0.1 (c) 340 (d) -193 (e) 5 (f) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.067 at least as big as 10170?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1376 (base 9) in base 14?\nAnswer: -545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 5*s + 18 + 7, -4*q + 12 = 2*s. Let z(y) = 2*y**2 - 8*y - 10. Let i be z(q). Suppose 2*r = -i*r + 238. Is r 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 -2637, -5265, -7883, -10485, -13065, -15617?\n\"Answer: o**3 - o**2 - 2632*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 202 = -7*x. Calculate the highest common divisor of 16 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -9. Suppose 10 = -2*t, 39 = a*n - 3*t - 4. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, g: 11, i: 3, d: 2}. Give prob of picking 1 g, 1 d, and 2 x.\nAnswer: 11\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: What is (-3 + -1 - (-15 + 6 + 4) - -7) + 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*g - 16 = -52*g. Let b(l) = -1. Let i = -27 + 38. Let u(y) = -3*y + 27. Let m be u(i). Let j(z) = -2*z + 6. Calculate g*j(v) + m*b(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**3 + 20*f**2 - 7*f + 60. Determine q(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -16)\/((-36)\/(-384)). Let i be 2\/(-4)*t\/(-5). Suppose 0 = c + c - i. Calculate the smallest common multiple of 5 and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -6*h. Let n = 3 + h. Suppose -n*p = -46 + 19. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.34? (a) -531 (b) 2\/15 (c) -0.26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17952?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 87*g**5 + 6*g**4 + 3*g**3 + 9569*g**2 - 6?\nAnswer: 5220*g**2 + 144*g + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 0. Let y = -3984.8 + 3985.4. What is the third biggest value in w, y, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9379, -18764, -28143, -37510, -46859, -56184, -65479, -74738?\n\"Answer: d**3 - 3*d**2 - 9383*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -12. Is q even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (2 + 4 + (sqrt(200) - (1 + sqrt(200) + 2))*1)*3)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, p: 2, s: 5}. Give prob of picking 2 k.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/6, -1\/4, -0.026?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-50)\/30 - 8\/6 - -27. What is the greatest common divisor of d and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 10*p - 28. Let a be i(-12). Calculate the remainder when ((-34)\/a)\/((-13)\/(-52)) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*m - 464*m**4 + 1 + 465*m**4 - 747*m**2 + 119*m**2 - 6 wrt m?\nAnswer: 12*m**2 - 1256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111000010 + 110001?\nAnswer: -110010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 1 = 4*a + 7*i, -4*a - i = 9. Let q(h) = 765*h**2 + 7*h + 7. What is the tens digit of q(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 52797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 236812379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 - -1 - (1311 - 1329).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (24\/(-32))\/(3\/(-1236)). Let w = 343 + p. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 4:38 PM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 2124640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.08 + -0.48. Is 1 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 693424231 to the nearest integer?\nAnswer: 26333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45445, -90888, -136357, -181864, -227421, -273040, -318733, -364512?\nAnswer: -410389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -95*u**2 + 76*u. Suppose 4*h - 4*c = 2*c - 10, 0 = 3*h - 2*c + 5. Let y(d) = d**2 - d. Determine h*o(j) - 76*y(j).\nAnswer: 19*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4710 (b) -10 (c) 3 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*j**2\/2 + 69*j\/2 - 9 = 0.\nAnswer: 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0228 less than -0.054?\nAnswer: -0.0768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1))**(-1\/38)\/(n**(-3)\/(n\/n**(-2\/7))) assuming n is positive.\nAnswer: n**(1147\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*v - 92*v + 109947106*v**2 - 109947099*v**2.\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -335274915 or -335274914?\nAnswer: -335274915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 1 + 0 + 29*j**2 - 2*j - 1 - 1. Let p be m(-1). Is 29 at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-266)\/(-80) - 3) + 2\/(-16). Which is the biggest value? (a) 4 (b) z (c) -0.088\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1221110212 (base 3) to base 11\nAnswer: -26818","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, -2, -0.1, 1032?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**2 - 6498198*c - 10556644311801 = 0. Calculate c.\nAnswer: -3249099","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -3*b + 4171, -5*b = 69 - 74. Suppose 0*p = 2*p - 5*d - c, 0 = -p - 2*d + 530. Which is smaller: 525 or p?\nAnswer: 525","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2333030 + -22203102?\nAnswer: -31202132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppr when three letters picked without replacement from {r: 5, p: 15}?\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 + (-20)\/60 + 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 647 a factor of 1053663439?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 6:39 AM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from -16721049.\nAnswer: -16721048.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 120 - 145. Is l at most -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19402 - -19405. Let r = 26 + -25. Solve 5*j - y*u = 2*j + 9, 5*u = -3*j + r for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105, 419, 943, 1677?\nAnswer: 2621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -16*y - 1460. Let h be b(-91). Sort 38, -25, h.\nAnswer: -25, h, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8345.655 tonnes?\nAnswer: 8345655000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 - 21. Let v(j) = -15 + 10 - 5*j + 0*j + g*j**2 + j**3. Give v(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.52807654082 and 0.03.\nAnswer: -0.49807654082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4950327337?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -15580, -15576, -15570, -15562, -15552, -15540, -15526?\n\"Answer: d**2 + d - 15582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s - 5*l + 25, 3*l + 2 = 5*l for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 49520 + c**3 - c**2 - 24772 - 24759 - 17*c as g*c + t + n*c**2 + w*c**3 and give g.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + ((sqrt(637) - ((-1*sqrt(637) - sqrt(637) - sqrt(637)) + sqrt(637))*5) + 2 - -2*(sqrt(637) + -2 + -4)))**2.\nAnswer: -323322 + 6006*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m + 48. Let j be q(-31). What is the greatest common factor of 17 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10101010010 (base 2) to base 13\nAnswer: -80a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**8\/(d*d**(5\/2))*d**(1\/5)*d*d**(2\/3))\/((d*d**(1\/13)*d**(-9))\/((d*d*d**2)\/d)**(-38)) assuming d is positive.\nAnswer: d**(-38887\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yeyweyyew. What is prob of sequence wywy?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -2. Let r = 4.02 + -0.02. Let p be (128\/(-56) + 2)*22 + (-18)\/(-3). What is the closest to z in r, 0.4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*x + 190*x - 49*x - 48*x - 38*x.\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3894 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -37, -63, -135, -277, -513, -867, -1363, -2025?\n\"Answer: -4*s**3 + s**2 - s - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16243 is divided by 129.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -v + 19, -4*v + 17 = 5*y - 58. Let n be 2\/4*(-3 + v\/4). Let x be ((-2)\/(-14))\/(1\/(-3)). Put 5, x, n in decreasing order.\nAnswer: 5, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k**3 + 2*k**3 + 3 + 132429*k**2 - 132436*k**2. Let g = -12 + 5. Give z(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6953184.\nAnswer: 2, 3, 7, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w. Let d(y) = -5859*y. Give d(g(t)).\nAnswer: 11718*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/36)\/(4*(-16)\/(-2112)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + j + 101 + 403, 0 = 5*j + 20. Suppose x = -4*q - 3*r, 5*q - 2*r + 156 = 2*r. Let i = 34 + q. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/4, -658, 0.02, -4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/1380 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = 565*f - 594*f. Solve -50*h - v = -45*h + 29, -19 = f*h + v for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -100 + 9 + 166 + -14.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(76)\/(sqrt(16)\/sqrt(4)) - (sqrt(57)*-1)\/sqrt(3))*-5 - 4*(-1 + sqrt(19) + 2 - (1 + sqrt(76))))**2 + -1.\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 224386 + -45705. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/4 + 45\/12. Suppose -p*g + 12 = -0*g. Find the third derivative of -2*u**3 + u**2 + 3*u**2 + 4*u**g + 0*u**3 wrt u.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 + 49 = -15*b + 16 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3926418?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1814995\/76 + 23881. What is the common denominator of d and -5\/171?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 0.7. Let f = 9842.699928 + -9843. Let c = h + f. Round c to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 14051 + 3271 = 0. Suppose -q = 5778 + x. Let p = q - -242693\/28. Find the common denominator of p and 145\/6.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0334 to 3 dps.\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - (-15)\/(-3)) + 7592475\/2530815. Let g = -9954863\/27332802 + x. What is the common denominator of g and -57\/4?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*c = -294. Is c\/(-3) - (-6)\/(-15)*5 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 325 - 175 + 370 + 4*v + 346 - 3*v in the form h*v + s and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -13877, -3, 3, -4, -9, -5 in descending order.\nAnswer: 3, -3, -4, -5, -9, -13877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -5493\/13 (c) -0.349\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 630644 and 6877696.\nAnswer: 2828","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p. Let n(q) = 116*q**2. What is n(c(o))?\nAnswer: 1044*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1920.6 from 0.01719.\nAnswer: -1920.58281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 187600 = 2*l, -5*l + 13*q = 10*q + 469000. Round l to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 312030200112 + -11?\nAnswer: 312030200101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6*(-33)\/(-6) + (0 - -1). Let r be a\/40 - 34\/(-5). What is r rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3*h + 12. Let o(t) be the third derivative of t**5\/60 - t**4\/12 + t**3\/2 + 2*t**2. Determine o(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -3. What is the first derivative of 14*l**3 + 0*l**2 + 0*l**2 - 16*l**c - 3 wrt l?\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, y: 6, f: 6, t: 1}. What is prob of sequence pft?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = n + 16, 0 = 107*k - 109*k + n + 7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**3 + w**2 - 7*w + 7. Let z(k) = 94*k**3 - 98*k**3 + 14 - 3339*k**2 - 13*k + 3341*k**2. Give 7*i(l) - 4*z(l).\nAnswer: 2*l**3 - l**2 + 3*l - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 2\/(-1) + -16. Suppose 10 = 2*z - 3*z. Let s = z - y. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 4 + 4)*(-4 + 4 - m).\nAnswer: -15*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 50044, 50055, 50064, 50065, 50052, 50019?\n\"Answer: -a**3 + 5*a**2 + 3*a + 50037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -5, -0.2348, -2\/35 in descending order.\nAnswer: -2\/35, -0.2348, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hyd when three letters picked without replacement from {y: 2, h: 2, m: 1, s: 1, d: 2, z: 1}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 0, 4, 3 in ascending order.\nAnswer: -1, 0, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rk when two letters picked without replacement from jpjrrhtjhkktjtjpjh?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*b + 27 = 0, 5*k - 2*k = 4*b - 17. Let x(w) = -5*w**2 + 1. Calculate x(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vaydgya. What is prob of picking 2 a and 1 v?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 536 - 15.\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-6))\/((-26)\/(-39))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 660, 1322, 1996, 2688, 3404, 4150?\nAnswer: 4932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.06 + -2.06. Let d = 2.93 - -0.07. Let g = -4 + d. What is the nearest to 0.1 in 3, g, y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z + 374 = -562. Let o = -41 - z. Which is smaller: o or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*r + 15 = 0. Let o be -1*(-1 + r\/3). Suppose 60 = d + o*d. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z - 2*z - 3*z + (-9*z - 49*z - 90*z)*(-1 + 0 - 1).\nAnswer: 294*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 31362, -3 in descending order.\nAnswer: 31362, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) + -1*sqrt(14))\/sqrt(7) - sqrt(72)*2)**2.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 377\/1670 + -21\/167. What is the nearest to -6 in 0.11, 2\/21, -3, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (144\/12)\/((-3)\/(-3))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13\/3 - -4. What is the nearest to d in -3, 3\/7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 + -26. Solve v = -5*c - 2*i, -3*c + i - 12 = 4*i for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, 4, 2, 217, -5 in decreasing order.\nAnswer: 217, 5, 4, 2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8*12\/320 + 106\/(-20)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 n when three letters picked without replacement from hngnhanneneggaheeenn?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 926 by 15707.\nAnswer: 926\/15707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*z + 4156874 - 10805668. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 - 8*p + 9. Suppose -15*b = -18*b + 3. Let f be g(b). Solve f*c - 5*i + 12 = -15, -4*i = 3*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -177*w - 1893. Determine y(-11).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 36 - 21)*(-3*m**3 + 2*m**3 + 3*m**3) to the form d*m**2 + l*m**3 + g + y*m and give l.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of -c**7\/840 + c**6\/180 + c**5\/120 - c**4\/24 - 3*c**3\/2 - 18*c**2. Let k(d) be the first derivative of g(d). Calculate k(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, x: 1, h: 1, j: 4, d: 1}. What is prob of sequence xj?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22714605?\nAnswer: 3, 5, 653, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 7 = -2*s - a, a - 9 = -3*s. Suppose 0 = -s*d - 2*d + 56. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/sqrt(40))\/(((sqrt(35)*-2)\/sqrt(5) - sqrt(7)) + sqrt(7)).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-2\/13)*k*k**(14\/3))\/(k**7\/(k*((k\/k**(-1))\/k)\/k)) assuming k is positive.\nAnswer: k**(32\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 11*q**3 - 13*q**2 + 2*q - 13. Let r(d) = 5*d**3 - 6*d**2 + d - 6. Let c(l) = -6*k(l) + 13*r(l). What is the second derivative of c(t) wrt t?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6136 - 6141. Which is the closest to -0.1? (a) w (b) -0.5 (c) 2\/7 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + (sqrt(10)\/sqrt(2))**2*-3 - (1*sqrt(50))\/sqrt(10)) + -1*(3 + sqrt(500)))*6.\nAnswer: -60*sqrt(5) - 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*j + 509 = 40*j - 331 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -14*c + 332. What is the hundreds digit of o(-47)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - 15. Suppose -4*v + g + 15 = 6*g, -a*g = 2*v - 9. Solve 4*i + 8 = -v for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -240*j - 765*j**3 + 15*j**4 - 764*j**3 + 1097*j**3 + 738*j**2 - 81 = 0.\nAnswer: -1\/5, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3404268*c**6*i - 22086*c**2 + 23*c*i wrt c.\nAnswer: 408512160*c**3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -5*t + 87, t - 34033 = 3*u - 33935 for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 662974254 to the nearest integer?\nAnswer: 872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.06 + -2.84. Let v = 3 + f. Sort v, -0.2, -0.3 in decreasing order.\nAnswer: v, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -16.63 from -10867692.\nAnswer: -10867675.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01966183671 to 3 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8566590?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 239 + -237. Let g be (-1)\/(-3) - 232\/(-6). Find the first derivative of g - p + p**r - 43 + p wrt p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 389465 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -s**4\/24 + s**3\/6 - s**2. Let f be h(-1). Let j(l) = 5 - 2*l + l**2 + 0 + 0*l**f - 4. Determine j(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*-1.126648\nAnswer: -7.886536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29481 = -7*l - 14718 - 14707 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ixif when four letters picked without replacement from ffiiifffiiffxiiifix?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*b + 10908 = 0, 2*t - 2*b - 12467 = 9325. Is 63 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ui when two letters picked without replacement from {a: 1, i: 1, u: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/7 (b) 341.137 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-24)\/6)*1\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -3, 1, 32, 0 in descending order.\nAnswer: 32, 1, 0, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c + 19. Suppose -g - b + 7 - 2 = 0, -3*b + 12 = 0. Suppose 0 = 4*n + 4*s - 24, 3*n = -4*s - g + 17. List the prime factors of a(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(sqrt(8)*-3)*-1.\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54149348.23 - -54149644.2299859. Let i = l - 296. Round i to 6 decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = 10*q - 29 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (742 - 8850 + 796)*(1 - 3 + 1)*(3*l**2 - 4 + 4).\nAnswer: 21936*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/1276 and -119\/6166270.\nAnswer: 12332540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + d + 308 - 1282, 4864 = 5*l + 2*d. Let s = l - 743. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 + 93. Let z = 185068332 + -185068274.00000008. Let m = b - z. Round m to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5*r - 232 = 0, -2*r = 2*b - 6*b - 314. Is b bigger than -78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2507337641?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 2 - 0. Let r = 0 - y. Which is greater: 3\/2 or r?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 9 = 5*q, 23 - 30 = 5*q - 4*x for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 3*b**2 + 4*b. Let d be f(-4). Suppose -4*s = d, 2*s + 20 = -92*c + 96*c. Solve -2*z = 9 - c for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -11623*o**2 + 63*o. Let v(z) = -13*z. Determine n(v(c)).\nAnswer: -1964287*c**2 - 819*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by ((-18)\/12)\/((-3)\/16).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 40202 + -2?\nAnswer: 40200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cloosoicso. Give prob of sequence ssoc.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -14506406 divided by -23\nAnswer: 14506406\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3057358kg to nanograms.\nAnswer: 305735800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2470 and 76240008.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8056 and 26182.\nAnswer: 104728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, z: 3, v: 10, k: 1}. Give prob of sequence akav.\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 3*m = -0*m - 10, -2*w + 3*m + 17 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 + 2*l**2 + 0*l**2)*(-1 - 3 + 5) + (7*l + 5*l - 2*l)*(-14 + l + 14).\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 1088839*z - 932. Let v be r(-12). What is v rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/11 - -14\/33. Let p = -0.25 + -8.65. Let m = p - -9. Sort m, v, 1\/9 in ascending order.\nAnswer: m, 1\/9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = -1795 - 1505. Let l = 8 - w. Let z = -314 + l. What are the prime factors of z?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*v - 1544 + 1760 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2397\/7 - 343. Put 6\/11, 1\/5, h in decreasing order.\nAnswer: 6\/11, 1\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33655\/110166 + -37\/122. Suppose -332*y + 5*f - 33 = -334*y, 4*y = -3*f + 17. Is y < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5497106 kilograms to micrograms.\nAnswer: 549710600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5966605, -5966490, -5966171, -5965546, -5964513, -5962970, -5960815?\nAnswer: -5957946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1597 + -1688.1. Let r = 89 + u. What is the third biggest value in -4\/9, -1\/5, r, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/389988 and 65\/30912?\nAnswer: 43678656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 1. Let q(n) = 2*n + 27. Let h(g) = -q(g) - 2*x(g). Let f be h(-16). Solve 1 = f*z + 10 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.9, 4, -15, -17\/7, -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.2761 less than 403?\nAnswer: 379.7239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -5*g**2 + 11*g + 1. Let k(f) = -f**2 + f - 1. Let j(w) = i(w) - 6*k(w). What is the units digit of j(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + -84286.156.\nAnswer: -84286.456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 13*k - 18. Determine p(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 23 - (-4 + (4 + 0 - -11)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ptpytttptp. Give prob of sequence tpp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1547178nm to micrometers.\nAnswer: 0.0001547178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 9083?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/4 + (-7)\/14. Let a(t) = 3*t**3 - 4*t**3 + 2*t**o - 4 - 4*t**2 + 10*t**2 + 4*t. What is a(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 10814?\nAnswer: 43256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - -4 - (-26)\/(-8). Let l = 1\/800 - -2389\/8800. What is the smallest value in l, 0, b, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 5*s - 20, 2*g + 2*g + 24 = -2*s. Let y = g - -32. Suppose -5*v + 13 = -2. Calculate the greatest common factor of v and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of 1\/18*y**3 - 2 + 1\/30*y**5 + 0*y**2 + 1\/12*y**4 + 0*y. Let d(k) = 0. What is k?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -i - 9, 7*b - 2*b + i = 11. Suppose u = -b*u - 12, -4*u - 16 = 4*m. Solve 3*k = 5*g - 10, -6 = -3*g - m*k - k for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 22*o**2 - 3*o + 8. Let m be f(2). Let x = m + -50. What is the remainder when x is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1666186787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3288756?\nAnswer: 2, 3, 53, 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -0.39.\nAnswer: 0.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-90)\/(-75))\/((-8)\/(-10)) + 60\/48?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11692335, 11692330, 11692323, 11692314?\nAnswer: 11692303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05*-43.\nAnswer: -2.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 13*u**2 - 16*u + 6. Let t be o(11). Suppose t = -3*i + 6*i. Suppose -j + 4*j = i. Calculate the smallest common multiple of 2 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 20468, 27.\nAnswer: 3, 27, 20468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 805 a factor of 608651645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 245492?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 7:38 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.7 - 2. Let j = l - -0.2. Which is the third smallest value? (a) j (b) -4\/9 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -8.3. Sort -0.4, 0.5, m in decreasing order.\nAnswer: 0.5, m, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**3 - 2374*f**2 - 408609*f + 2374*f**2 - 235316*f.\nAnswer: -f**3 - 643925*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28733163?\nAnswer: 3, 109, 87869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 113*c - 4. Let z(n) = 37*n**2. What is m(z(u))?\nAnswer: 4181*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -44*z**2. Let x(j) = -3*j + j - 7*j + 15*j + 0*j. Give u(x(l)).\nAnswer: -1584*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 420546 is divided by 531?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 119357617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (2 - 24) - (2 + (-2 - -7) - 5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6312 divided by 2\nAnswer: -3156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 26, 0.064, 1\/5, -0.2, -2\/13, -24?\nAnswer: 0.064","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 m when three letters picked without replacement from {q: 2, a: 2, i: 1, s: 3, m: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3410 a factor of 122657700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -178*t**3 - 19*t**2 + 8*t - 25. Let y(o) = -118*o**3 - 12*o**2 + 5*o - 17. Give 5*w(q) - 8*y(q).\nAnswer: 54*q**3 + q**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = i - c, 2*i + 62 = -0*i + c. Let z = 76 + i. Suppose -3*b + 8*b = z. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 10 = -10*v. What is the third smallest value in -2, v, -0.06?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = -13*g + 294. Let w be (882\/12)\/(6\/g). Suppose 2*d - 6*d + w = 0. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-5 - (17 - 7) - (-11 + 2)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -31*w + 925. Give y(30).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 6*p + 3. Let a = p + 4. Let t be (-2)\/6 - 116\/a. What is t rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**4\/3 + 230*l**3 + 4864*l**2\/3 + 3482*l + 2091 = 0.\nAnswer: -3, -1, 697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122686382.7 seconds to weeks.\nAnswer: 202.85446875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 22*p**2 + 46*p - 462. Is m(-41) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*q + 8 = -3*s, -3*s - 2*q = 4. Suppose s = -11*n - 3 + 3. Sort -4, 5, -2, n.\nAnswer: -4, -2, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of l**3\/3 + 4*l**2 + 2*l - 111. Let x be k(-8). Put x, -3, 3, 13 in descending order.\nAnswer: 13, 3, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2 + 2*s - 4. Let w = 100 - 94. Let o(k) = 77 + 5*k - w*k - 74 + k**2 + 0*k. Let h = 14 - 10. Give h*o(z) + 3*u(z).\nAnswer: -2*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.09, -4, -2\/13, 195\/203?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 162*l**2 + 30*l + 3195 wrt l?\nAnswer: 324*l + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*y + 19 = -5*j, -3*y = -j - 14. Solve -y*b + 10 = 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*l**6 - 27*l**5*u + 2*l**2*u + 4170*l*u wrt l?\nAnswer: 2280*l**3 - 1620*l**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1855429448, -1855429450, -1855429452, -1855429454, -1855429456?\n\"Answer: -2*h - 1855429446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 210\/(-18)*(-24)\/28. Let f(n) = 10 - 5 + 2*n + n. What is the remainder when f(k) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + z. Suppose 4 = 4*h + 5*n - 3, -5*h + 14 = n. Let r(f) = f**2 - 33*f - 162. Let l(x) = h*c(x) - r(x). Factor l(t).\nAnswer: 2*(t + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g + 17072 = -24*g. Is g\/(-5) - (-99)\/(-165) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.089*0.4\nAnswer: 0.0356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-10)*35\/(-84)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 10*t**2 - t - 8. What are the prime factors of r(-5)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(100\/(-10) + 39 + 4)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 41772?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.6945 - -16973.\nAnswer: 16976.6945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 + -27. Let w be (3 - 5)\/(2\/(-3)). Suppose w*v + 2*o + 2*o - 1 = 0, c*v = -o + 30. What is the greatest common factor of 56 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2 + 4 + 10*n**2 + 21*n**2 + 3*n. Suppose -7*d + 554 = 561. What are the prime factors of x(d)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/((-49)\/(-2)) + (-16)\/(-56). Solve g = -4*w - 278 + 270 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1888 is divided by 1050\/20*3\/9*2?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 3*l + 40, -5*l = -3*q - 0*q + 60. Let s = -16 - -21. Calculate the greatest common factor of s and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 3*b + 6, -3*b + 7 - 1 = 4*y. Suppose -1 = -d + 5. Put -1, d, -5, y in ascending order.\nAnswer: -5, -1, y, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14552159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 3048.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -417, -739, -1069, -1407?\nAnswer: -1753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + (-6)\/(-7))\/(6\/273)?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of f**5\/80 - 501*f**4\/16 + 251001*f**3\/8 - 10504*f**2. Let t(b) = 0. What is b?\nAnswer: 501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -23*p - 388. What is u(-42)?\nAnswer: 578","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 146939365 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 15. Let w(i) = 3*i - 6. What is the units digit of w(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-6)*j*j**(-7\/3)*j\/j**10*j\/((j**(2\/19)*j)\/j*j) assuming j is positive.\nAnswer: j**(-937\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p*(p\/(p\/p**(3\/8))*p*p*p)\/p*p*p\/p**(7\/5))**(-30) assuming p is positive.\nAnswer: p**(-717\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 71797 divided by 22\nAnswer: 6527\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l + 115. Calculate f(-26).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1639 + 1817.4. Round m to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27918824 and 2616.\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 4 - 6)\/1. Let h = -16 + u. Find the common denominator of -51\/8 and ((-118)\/h)\/(4\/10).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-118)\/(-12) - (-263 + 268))*-6?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/22 and 45\/2074.\nAnswer: 22814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d - 4. Suppose 0*g - 17 = g + 3*c, 3*g - 4*c + 12 = 0. Let n be t(g). Suppose n*u - 13 = 5*i - 4, u = -i. Put i, -5, 2 in descending order.\nAnswer: 2, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4\/5 + 61*w**3\/5 + 899*w**2\/5 - 961*w\/5.\nAnswer: w*(w - 1)*(w + 31)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6483 is divided by 133?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(1 - (3\/9 - -1)). Find s such that 20*s + 20*s**3 - 30*s**4 + 11 + 10*s**2 + 9 + 25*s - 5*s**5 - 60*s**k = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + w - 1. Let x(i) = -6*i**2 + 2*i. Calculate x(p) - 3*z(p).\nAnswer: -3*p**2 - p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1788 and 38328?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 16 + 20 = 0. Let p(x) = -x**3 + 5*x**2 + 5. Let n be p(5). Solve n*m + 3 = k for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -983\/20 + 247\/5. Let j = 0 - -2. Solve -1\/4 - 1\/4*s**3 + 1\/4*s + b*s**j = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/81 - 539\/(-9). Suppose 0 = z + 11*z - y. Solve 5*i = z, s - 4*i = 3*s + 2 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-12) + (0 - (-84)\/(-18)). Let k be (1 - 1) + -27*1. Calculate the remainder when 13 is divided by k\/45 - 43\/g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*x - 40*x - 22*x**2)*(-4*x + x - 2*x**2 - 2 + 4*x).\nAnswer: 44*x**4 - 22*x**3 + 44*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2\/33, -4\/9, -1\/2?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c + 2 - 2)*((0 + 2 + 2)*(-1 + 4 - 2) - 1 + 0 - 2) in the form j + x*c and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 7:05 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4352412 by 3788.\nAnswer: -1149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 837090*j**3*k**2 - 3*j**2*k**2 - 56060*j**2 wrt j.\nAnswer: 5022540*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.6 - 3.17. Which is smaller: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - 3*w + w)*(-2 + 3 - 3) + 422*w - 183*w - 182*w + (4 + 0 - 6)*(0 + 0 - w) - 3*w + 0*w + 4*w + 4*w - 2*w + 0*w.\nAnswer: 58*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.3551 (b) 169 (c) 5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 118*p - 19350. Let o(i) = -9*i. What is x(o(q))?\nAnswer: -1062*q - 19350","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 5*l - 45, 91 = 5*m + 5*l - 34. Let b(u) = -2*u + 24. Suppose y + c = -2*c + 11, 6 = 3*c. What is the least common multiple of m and b(y)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6682 + 0.17.\nAnswer: -0.4982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1472503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*(-2)\/6*(1661166\/(-36) - -8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3261 = -9*w + 3786. Is 19 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 224293*p**3 - 945*p**4 - 224293*p**3 - 384*p**2 wrt p.\nAnswer: -22680*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 316176707 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 193766939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 934471?\nAnswer: 347, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -607125 = 83*t + 6*t - 605879 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h - 5. Let p(v) = v**3 - 5*v**2 + 2*v - 6. Let m be p(5). What is the units digit of b(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -19 + -9 + 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 248 and 6356?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1, -43\/89, 0.5.\nAnswer: -43\/89, 0.3, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*l**3 - 9*l**3 - 7*l**3 - 51*l**3.\nAnswer: -56*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yybibbii. Give prob of sequence byi.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence co when two letters picked without replacement from dooodvodoooooocodood.\nAnswer: 13\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/116 and -31\/2320?\nAnswer: 2320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 3*b. Let v(o) be the first derivative of o**3\/3 - o**2\/2 + 13. Let c be v(b). Solve 0 = -5*h - c*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587861444 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: Suppose 0 = 6*o - 10*o - t + 24, 3*o = -t + 18. Suppose -5*f + 14 + 31 = 0. Let r = -9 + f. Solve 0 = -r*g + 2*g - o for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -309, -305, -291, -261, -209, -129?\n\"Answer: g**3 - g**2 - 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4323 + 6424. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 435 and 379255?\nAnswer: 32995185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2126.1 times 9?\nAnswer: -19134.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/17)\/q*q)\/q**(-19)*(q\/q**(-8))**(-10) assuming q is positive.\nAnswer: q**(-1209\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 23*f + 76*f - 189 + 13 + 158.\nAnswer: 53*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9848 is divided by 1969?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -7*d**5\/24 - 67*d**4\/24 + 25*d**3 - 44. Let w(a) be the third derivative of l(a). Differentiate w(g) wrt g.\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42 - -50. Suppose -c - c + l = 0. Let p be (-1 + c - 4)*-3. Solve g = -5*v - 4 - 23, 3*v - p*g = -9 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -99 - -187. Let u = -82 + h. Solve 5*x - u = 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336 = 3*f - 339 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -378, -831, -1294, -1773, -2274?\nAnswer: -2803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**3 - 27490259713461 - s**2 - 2*s**3 + 27490259713461 + s**2.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000023306 rounded to 7 decimal places?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-84)\/168*(-1)\/(-3)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssasbaa. Give prob of sequence asb.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 6:31 PM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61889 is divided by 76.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.7 - -15.8. Let k = j + -0.1. Sort 0.4, k, 1 in ascending order.\nAnswer: 0.4, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -49 in 16, -1\/2, 4\/15, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -g**3\/6 + 5*g**2\/2 - g. Let b be (0 + 35\/(-21))*(-3)\/(-1). Calculate f(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 880 and 6164752?\nAnswer: 30823760","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-4 + 1) - (-184 - -190)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**2 + 4*m - 5. What is s(4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -7.2 at most 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4573.55 and -2.\nAnswer: 4571.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 6, -0.5, -7092, 2, 5 in ascending order.\nAnswer: -7092, -0.5, -2\/7, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((5*sqrt(1296) + sqrt(36))*4)\/(-2*1*4*sqrt(12)))*2.\nAnswer: -31*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 56*h - 54*h. Let g = 48 + -48. Let d = 1 + -2. Which is the third biggest value? (a) g (b) d (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 7 + 8 - 6*j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 * 0.02115773.\nAnswer: -0.014810411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**2 + o - 2. Let h be q(-3). Let t = h + -18. Solve 3*m = -2*i + 4, t*m = 2*m - i + 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1456 and 546?\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/9)\/(3\/(-45)). Suppose 0 = i*r - 22 - 38. Let n = -6 + r. Solve v + 25 = n*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**3 + 86 - 543*n - 89 - 4297*n - n**2.\nAnswer: -n**3 - n**2 - 4840*n - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -304 or -0.006?\nAnswer: -304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**2 + 29*k + 10. Let i be h(12). Calculate the highest common factor of 14 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 7*t**2. Let c(o) = 2. Let i(x) = -3*x - 18. Let z(h) = -6*h - 38. Let n(b) = -7*i(b) + 3*z(b). Let g(j) = -6*c(j) + n(j). Determine g(y(s)).\nAnswer: 21*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 2 - (-2)\/(-2). Suppose y*z = z + 270000. Round z to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 98996407?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*1\/(-4)*0. Let y = 2 + r. Suppose 2*o + 25 = 69. Solve 0 = -0*l + y*l + 4*f, 0 = -3*l + 5*f + o for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**(2\/3))**(12\/11)\/(y**(4\/7)\/(y\/(y**6\/y))) assuming y is positive.\nAnswer: y**(-240\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 41*s**2 + 79*s + 38. Calculate q(39).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qlu. Give prob of sequence lq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48443 is divided by 105?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssm. Give prob of picking 1 s and 1 m.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-20) - (24\/10 + -3).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((56\/(-7))\/1)\/((-3)\/(9\/(-2))).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/134 and -1\/2.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -394.063 + -0.437. Let f = 394 + v. Let b = -26 + 105\/4. What is the smallest value in b, 3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y + 0*y - 2 + 5 + 2*y + 0*y - y + (60 - 60 - 80*y)*(24 - 3 + 1).\nAnswer: -1758*y + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -201661767*d + 145886236 wrt d.\nAnswer: -201661767","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1292*a**3 + 0*a**2 + 671*a**3 + 0*a**2 + 628*a**3.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -790*r**3 - 9217*r**3 - 330*r**3.\nAnswer: -10337*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*f - 1952183 + 1531010 = 2407902. What are the prime factors of f?\nAnswer: 67, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3611 + 0.02918.\nAnswer: -3610.97082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(30\/(-5)))\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.6 - -0.6. Let c = -10 - s. Let g = c - -10.5. What is g rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -77, -136, -213, -314, -445?\nAnswer: -612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4575382747 to the nearest integer?\nAnswer: 67642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, e: 1, b: 4, n: 7}. What is prob of sequence bbr?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*i + 5*q, 0 = -2*i - 0*q + 2*q + 12. Suppose -i*u + 5*u + 59 = 0. Does 9 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence scmp when four letters picked without replacement from cmmpjjvccvjspcpcmcp.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12312 = -26*v + 76*v + 64*v. What is the highest common divisor of 864 and v?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 14*p**2 - p + 19. Let i be v(14). Let k(h) = -69*h**2 + 2*h - 6. Let x(n) = -70*n**2 + n - 6. Let y(q) = i*k(q) - 6*x(q). Is y(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-1\/5)*q*q**(1\/5))\/(q\/(q*q\/q**0))**(-3\/10))\/(q\/(q*q**2*q*q)*q**(2\/7))**(-16) assuming q is positive.\nAnswer: q**(-4041\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-3)\/(m*m**(-3\/5))*(m\/(m**(-1)\/m))**(-1\/19)*(((m*m*m**(-3\/8))\/m)\/(m*m**(-5)))\/((m**(-1\/9)*m)\/m**(-5)) assuming m is positive.\nAnswer: m**(-32981\/6840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -13718637 divided by -4572879\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.79 in 0.5, -2, 47.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tvj when three letters picked without replacement from {v: 6, d: 1, j: 3, t: 7}.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t**3 - 6*t**2 - 18*t + 12. Let u be n(20). Suppose 0 = 35*z - u - 29288. What are the prime factors of z?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3555 + -4502?\nAnswer: -a58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -14*544553.81\nAnswer: -7623753.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2596358365.\nAnswer: 5, 519271673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 2*u + 32. Calculate the remainder when 28 is divided by x(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.26? (a) -4972 (b) -4 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, a: 1, p: 1, q: 1, n: 8}. What is prob of sequence nna?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -n**5\/20 - 3*n**4\/2 - 31*n**3\/6 - 71*n**2\/2 + 64*n. Is w(-29) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than -0.145366?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 0*i - 4. Suppose 3*r + 63 = -k + 4*k, -2*k + 4*r = -36. Suppose -236*u + 32 = -228*u. Solve q - 4*m = -i*q - 19, u*q - 5*m = -k for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/((-45)\/(-40)) + (-3 - -4). Let u(z) = -5*z**3 + 2*z**2 - 2*z. Let g(m) = -20*m**3 + 8*m**2 - 9*m. Determine y*u(l) - 2*g(l).\nAnswer: -5*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 + -30. Let d be (-11 - (2 + m))*1. Let z be (-16)\/9 + 2\/d. Sort 2, -1, z in decreasing order.\nAnswer: 2, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1012 and 1532168.\nAnswer: 1532168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 20*v - 5 - 1 + (2 - 2*v - 2)*(-3 - 2 - 1).\nAnswer: 32*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 3*d + 3. Let f(x) = 7*x**2 - 21*x + 65. Give -f(a) + 6*s(a).\nAnswer: -a**2 + 3*a - 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2073 + -1311. Let a(y) = 3*y**2 - 52*y - 40. Let w be a(18). What is the hundreds digit of (0 - 3)\/(-6) - d\/w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111 + 121229*j - 111.\nAnswer: 121229*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3500*t + 3498*t - 7000*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4705, 0.4, 2\/13, 1\/7?\nAnswer: -0.4705","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5*j - 184. Let m be a(-44). Calculate the common denominator of 202\/m - (-4)\/20*5 and 41\/3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 206089?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - r. Let d(b) = b**2 + 1. Let j = 37 + -38. Calculate j*g(a) - 2*d(a).\nAnswer: -a**2 + a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 37. Let n = 13 + q. What is the closest to -4 in n, 3, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 643928?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*f**2 + 11310232*f + 6786132 = 0. What is f?\nAnswer: -565511, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3\/7, 1, 0.00128 in increasing order.\nAnswer: -1, -3\/7, 0.00128, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 7.7. Let t = 7.9 - 0.9. Let f = -6 + t. Which is smaller: f or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1172, -3779, -6386?\n\"Answer: -2607*q + 1435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y = -20*y - 84 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 5*z + 0*z = -15, 4*z = 4 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1298, 1391, 1664, 2207, 3110, 4463, 6356, 8879?\nAnswer: 12122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-5)\/2))\/(28\/(-70))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -3.4. Let u = 0.6 + q. Put u, -0.4, 4\/5 in descending order.\nAnswer: 4\/5, u, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {r: 3, e: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6220453 rounded to the nearest 100000?\nAnswer: -6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 57337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 116 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 12*p**2 + 995*p + 2909. What is a(-85)?\nAnswer: 5034","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(((z\/(z**(-5)\/z))\/z*z)\/z)*z*(z\/z**(-1\/6)*z)\/z*(z**(1\/11)*z*z*z*z)**19)**(31\/3) assuming z is positive.\nAnswer: z**(153233\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) 0.5 (c) -37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -4.3. Let j = 1.1 + -1.3. Which is the closest to 0? (a) 1\/3 (b) j (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101835 is divided by 2369.\nAnswer: 2337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -3. Suppose -16 = -m*g + 29. What is the remainder when 23 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1376)\/(-14) + 4\/(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + j**2 - 2*j**2)*(-1 + 116*j - 130*j - 1).\nAnswer: 28*j**3 + 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.2 - -1.5. Which is the third biggest value? (a) g (b) -0.4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q. Let j(d) = d**2 + 7*d + 24. Calculate j(f) - 5*o(f).\nAnswer: f**2 + 2*f + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wuu when three letters picked without replacement from {g: 1, e: 1, w: 1, u: 4, k: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -12873 and -13295 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15618.\nAnswer: 2, 3, 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4958724154?\nAnswer: 2, 2479362077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - f = -30. Put -4, -5, f in descending order.\nAnswer: f, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.27 - 6.73. Let g = -11.5 + 4.6. Let v = h - g. Which is the closest to -2? (a) -1 (b) v (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -9 (c) -0.02 (d) 5 (e) -22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 2*a - 204, y = 2*y - 3*a + 102. Let m = y - -42. What is m rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 1. Let w = 45 + -44.7. Is w > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1838*i - 408*i - 9701 - 20715 = 59424 for i.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5.76, 0.2, 50.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (18\/18)\/((-1)\/(-6)*2). Suppose b*i = 2*i + 366. Suppose 2*f - f = 2*s - 255, -3*s = 4*f - i. What is the highest common divisor of s and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3935, -3941, -3957, -3989, -4043?\n\"Answer: -q**3 + q**2 - 2*q - 3933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1240, 2661, 4088, 5521, 6960, 8405, 9856?\n\"Answer: 3*f**2 + 1412*f - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4*l**2 + l + 5. Let b be 25\/15*-6*(-3)\/(-6). Let z(a) = 7*a**2 - 2*a - 9. Give b*x(s) - 3*z(s).\nAnswer: -s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in 0.2, -4, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*c*i*n**4 - c*i*n**3 + 8*c*i*n**2 - 44*c + 17*i*n**4 - 2*n**2 wrt n.\nAnswer: 72*c*i*n - 6*c*i + 408*i*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 78 - 70. Let v be ((-7)\/((-70)\/q))\/((-2)\/(-5)). Suppose -u + c = -18, 0 = 2*u - 4*u - v*c + 36. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 250287 + 2?\nAnswer: 250300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/10044*-3)\/(4\/128*4)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -3. Suppose 3*y - 85 = r*k + 120, -319 = -5*y + k. Suppose y*d - 332 = 61*d. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (28\/63)\/(5 + -7). Which is the second biggest value? (a) l (b) -3\/20 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*q + 40*q = -3933. Calculate the greatest common factor of q and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c - c - 3 - 3*c + 6*c. Let b be g(6). Let k = b + -10. Is 17 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11185307\/4 or 2796327?\nAnswer: 11185307\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*r + 2. Let i be 2\/r + 7 + 4. Let c(w) = -w**3 + 5*w**2 + 4*w - 5. Let n be c(5). Calculate the greatest common divisor of i and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68752 (base 12) to base 14\nAnswer: 38aaa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 992 + -673. Let d = f - 182. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + 2*z + 6. Let i be b(3). Suppose 2*o - t = 4, -i*o + 2 = -o - 2*t. Suppose j - 2*c = 3*c + 30, 3*j + 3*c = 0. Solve f - j = -o for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 29 = -4*v, -5*l + v - 23 = -3*l. Put -3, 18, l in descending order.\nAnswer: 18, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by 879.\nAnswer: 32\/879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**3 + 26*q - 5. Let j(l) = -3*l**3 - 28*l + 4. Determine 6*j(n) + 5*o(n).\nAnswer: -8*n**3 - 38*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(-165)*-5*-12.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 13285377900 to the nearest one million.\nAnswer: 13285000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.33036579 to 1 decimal place.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**2*v*x**2 - 707*d**2*v*x - 11*d*v - 2*d*x + 9*v*x**2 - v wrt d?\nAnswer: 2*v*x**2 - 1414*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t**3 - 28*t**2 - 5682*t + 51214. What is r(9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 15 + 9 = 4*t, -t + 6 = 4*k. Let p(h) = -7*h**3 - 6*h**2 + 6*h - 6. Let a(c) = -20*c**3 - 17*c**2 + 17*c - 17. Determine t*a(j) - 17*p(j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -22adb76 - 1?\nAnswer: -22adb77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11050 = 188*f + 18*f + 119*f for f.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -131133821 + -3?\nAnswer: -131133824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13.9 - 15. Let z = -62 + 62.1. Let w = z + x. Which is the nearest to w? (a) 5\/3 (b) 2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -161*b + 7. Is l(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.5 - -1.6. Let z = 0.3 + p. Sort 0.1, -0.7, z in decreasing order.\nAnswer: z, 0.1, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 93*c - 47*c - 47*c + 2. Let b(t) = 3*t - 5. Let h(g) = -2*b(g) - 5*r(g). Let f(d) = 16*d**2 + 0*d**2 - 6*d**2. What is h(f(i))?\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.5637 rounded to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76862 is divided by 112.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*c + 27*c + 215*c - 69*c + 152*c to s + g*c and give g.\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 9 = 3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1697 is divided by 100.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -41 * -1.3\nAnswer: 53.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 8*n + 12. Let w(d) = 15*d + 23. Suppose 22 = -5*o + 5*u + 2, 0 = -3*u - 6. Let z(i) = o*w(i) + 11*g(i). Let l be 0 - 1 - 0 - 3. Give z(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 17*l**2 - 26*l**2 - 60*l**2 - 182*l**2.\nAnswer: -285*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/3 + 38\/6 + -6. Let m(q) = q**3 + 3*q + 16. Calculate the least common multiple of m(b) and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, j: 7}. What is prob of sequence jjfj?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 4*x - r + 102, x + 3*r - 51 = 0. Let v = x + -30. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.02, -0.27, -67, -9?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/4*(-3 - 1). Suppose 3*m = -y*m. Suppose 5*f - 1 - 19 = m. Sort f, 2, 3 in descending order.\nAnswer: f, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -2*w**6\/3 + 460*w**5 - 132250*w**4 + 60835000*w**3\/3 - 1749006250*w**2 + 80454287500*w + 1544. Factor d(z).\nAnswer: -4*(z - 115)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -54, -89, -124, -159, -194?\nAnswer: -229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2, 11, 46, 109, 206, 343?\n\"Answer: d**3 + 5*d**2 - 9*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 7*i + 9*i = 871, 5*d = -4*i - 1459. Is ((-350)\/8 - -1)\/(d\/776) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24367 is divided by 6083?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -219 - t**3 - t**2 + 74 - 3*t**2 + 117 - t. Calculate m(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nznsnzznn. Give prob of picking 1 s and 1 n.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-47 - 2) + (2 - (-111 - -117 - (9 + -1)))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2405*h + 91105. Give y(38).\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5735 and 360553715.\nAnswer: 5735","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1193.\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22 - 114003404?\nAnswer: -114003332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*b - 776. Is 9 a factor of (-2)\/(-11) + b\/(-44)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 219\/290 = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2315 (base 6) in base 12?\nAnswer: -39b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2. Let k = 201 - 199. Let i(f) = -43*f**2 - 36*f**2 + 121*f**2 + 17 - 39*f**k. Give i(r(s)).\nAnswer: 3*s**4 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005573084619 to five decimal places.\nAnswer: 0.00557","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -69 + (-5 + 0 - (24 + -83 + 44)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 7 = 19. Suppose q - 35 = 2*o, d*q + 3*o - 50 = -2*o. Solve q = 5*s - 0*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 10*y**2 - 153*y - 115. Give p(16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7705, -2\/7, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 302555 (base 7) to base 8.\nAnswer: 144300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.4 (b) -0.5 (c) -5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*n + 188 = -n + 1499 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 22215\/(-8886)*(-1)\/(4\/32)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (27\/(-135))\/(4\/5)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 63*w**3 + 2*w**2 - 3*w + 1. Determine b(1).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-15\/4)*d*d\/((d**28\/d*d)\/d) assuming d is positive.\nAnswer: d**(-115\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i - 8. Let r be u(5). Suppose 0 = -2*f + 4, r*f + 2*f = 5*v - 162. List the prime factors of v.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a minute in seconds?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5551\/8 - -693. Let m be (-2)\/8 + 5\/((-100)\/35). Which is smaller: h or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102044 (base 5) to base 14\nAnswer: 134b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -17. Let n(s) = 3*s - 11. Let u(h) = 13*h - 44. Let l(i) = -9*n(i) + 2*u(i). Does 4 divide l(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 1188 = -1186 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*h + 478841 + 1596676. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 867 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 2*d - 4 = 0, -283*d + 279*d = -16 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**3 - 15. Let t(d) be the first derivative of -d + 1105. Calculate b(k) - 4*t(k).\nAnswer: 2*k**3 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2206 + 2235 + 4 + 5 + 1.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*g*h**2 - 2*g*h + 46*g + 309*h**2 - 20*h wrt g.\nAnswer: -11*h**2 - 2*h + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -4, 2\/13, 1\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*7\/(-49))\/((-2)\/(-7))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7909 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-6))\/(s**4\/s))**(-1\/8) assuming s is positive.\nAnswer: 1\/sqrt(s)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/45*-3*(-290)\/348?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 87420 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 1656*a**2 + 9*a + 10. Let m be v(-1). Let q = -34760\/21 + m. Calculate the common denominator of q and 37\/147.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/12, -12\/5, -2, 0.02911 in descending order.\nAnswer: 1\/12, 0.02911, -2, -12\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -151.1 + 150.1. What is the closest to q in 3, -1\/7, -1, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231937707077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1017 divided by -13292\nAnswer: -1017\/13292","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Is 309977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -5 + (0 - 0) - 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 141*d - 581. Calculate z(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 18*c + 22. Let m be s(15). Let x = m - -58. Calculate the greatest common divisor of x and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-2 + (sqrt(66) + 2*sqrt(66))\/sqrt(6))**2 - (sqrt(1331) + 0 + sqrt(11) - (4 + (sqrt(99) + sqrt(11) - sqrt(11))**2))).\nAnswer: -144*sqrt(11) + 1236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*f + 94 + 134 = 0. Let w(l) = -16*l + 2. What is w(f)?\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 89 = -23*c - 5*a, -24 = 4*c - 4*a for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 836 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**4 - 924*u**3 + 72066*u**2 - 141372*u + 70227.\nAnswer: 3*(u - 153)**2*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/25 of a millennium?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*p = 213. Suppose 3*g - p = m, m + 48 - 2 = 2*g. Suppose -g = -5*q, 2*h - 2*q = -0*h + 20. Is 3 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 1. Let n be b(3). Let z(t) = -t**2 + 6*t. Let c be z(5). Let m be c\/n + 2\/4. Round m to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1459842 and 4670?\nAnswer: 934","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 8 = 2*p, 17 - 1 = 4*p. Let q be 13 + -17 + 38\/11 - h. Suppose j = s + 3, 5*j + 2*s = 2 - 8. Do j and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123 - 10?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-80)*2*5*1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*l**5 + 3037*l**4 - 618*l**3 - 9079*l**2 + 7784*l - 1140 = 0.\nAnswer: -190, -2, 3\/16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -2, 35, 3, -10, -1, -543 in decreasing order.\nAnswer: 35, 13, 3, -1, -2, -10, -543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 22513670 to the power of 1\/4, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-2))\/(14\/(-8)). Let n = 14 + -9. Let u = 1.038 + -1.538. Put n, z, u in decreasing order.\nAnswer: n, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 23 = -2*s, -s + 3*j = j - 1. Let y(a) = -s*a**2 + 13*a**2 - 8*a + 8 - 7*a**2. Let h(z) = -z**2 + 4*z - 3. Let q be h(5). Determine y(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/21? (a) -3\/49 (b) -1 (c) -0.31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*-1 + -3 + sqrt(272)*4)**2 + 6*(2 + sqrt(17)) + -5.\nAnswer: -84*sqrt(17) + 3841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3*sqrt(209)*3 - sqrt(209)))\/(((sqrt(198)\/sqrt(6) - sqrt(33)) + sqrt(33))\/sqrt(3)*-4).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -382, -393, -412, -439, -474, -517, -568?\nAnswer: -627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 40 + -3 + 25 + -24.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8308\/(-8911) - (-5 - (-135)\/35)?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129479?\nAnswer: 7, 53, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * -15315.\nAnswer: -107205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from sqqqqqsqqsq?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 109073450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4365 = -a + 4*a + 1371. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13369068 by -13369068.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*2)\/sqrt(9)*4.\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(8\/3)*m)\/m*m)\/m)**(1\/10)\/(m**(-8)\/(m**(-8)*m)) assuming m is positive.\nAnswer: m**(19\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -422*o. Let x(d) be the second derivative of d**4\/12 + 3*d + 46. Determine x(h(n)).\nAnswer: 178084*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -840736 and -17.3.\nAnswer: 14544732.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 923 is divided by 55?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 66130050 a multiple of 525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of 3*i**5\/5 - 2*i**2 - 2. What is the second derivative of w(s) wrt s?\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 384 divided by 50489\nAnswer: 384\/50489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*v + 116256 = 0, 0 = 2*b + 2*b - 2*v + 155008. Let a = b + 69752. Suppose -f + a = -6*f. What is f rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i + 1. Let p(q) = -2*q**2 - 4*q - 4. Suppose 3*v = -2 + 8. Suppose -3 = v*f - 1. Let l(a) = f*p(a) + 4*g(a). Suppose l(r) = 0. Calculate r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/6)\/(4\/6))\/(93*(-6)\/69192).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.03811 rounded to 0 decimal places?\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 4646*d + 0 + 5 - 1 - 976*d in the form y*d + q and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100010100101 + -110101111101?\nAnswer: 1101100101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 20248, 20211, 20172, 20131, 20088, 20043, 19996?\n\"Answer: -r**2 - 34*r + 20283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5040\/1225)\/48)\/(((-18)\/8)\/(273\/(-130))).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*i - 2*p - 134, 0 = -i + 3*p + 78. Calculate the highest common factor of 693 and i.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*f + 165 - 165)*(1 - 1 - 1).\nAnswer: -25*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, s: 2}. What is prob of picking 2 s?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*s + 11*s + 18*s + d = -25, 25*d - 89 = 2*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1922 = 11954?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-14)*-3*84\/(-72).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(11)*-6 - ((sqrt(11)*5 - sqrt(11)) + 1))**2 + -2.\nAnswer: -16*sqrt(11) + 703","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h + 8. Let y be m(-6). Let b(n) = -n**2 + 9*n - 1. Let r be b(4). Solve 5*i + r = -p, -2*i - 2 = y*p - i for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 11, l: 9}?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-6 + 7)) + 1 + -5 - 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -109.92.\nAnswer: 32.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(sqrt(6)\/sqrt(32)).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vzwzzwuzvzzw. What is prob of picking 2 z and 1 w?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-3*(-5)\/(-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 7:42 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1995, 16811, 57031, 135357, 264491, 457135?\n\"Answer: 2117*s**3 - 3*s - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27782042?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57.11 - 57. Which is greater: w or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20218682?\nAnswer: 2, 11, 919031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -3462538 to the nearest 100000.\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.11 - 1.11. Let v = -7 + l. Is 1\/2 less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/5 + 32851*n**2\/5 - 269287139*n\/5 - 8379500911\/5.\nAnswer: -(n - 16441)**2*(n + 31)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.3 and -194895235.913.\nAnswer: -194895237.213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 30125 divided by 23?\nAnswer: 30125\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/2*b + 0 + 1\/6*b**2 = 0. What is b?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/(-6))\/(1216\/192))\/(3\/(-12))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 235643 and 122?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*r + 3*r + 2*r + (35*r + 37*r + 23*r)*(-3 - 3 + 0)*(3 - 6 + 2).\nAnswer: 568*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.39 + 0.19. Let u = -0.7 - t. What is the biggest value in 5, -5, u, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21.222 - 22.2579. Let l = j - -0.226. Let b = -0.8 - l. What is b rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77787 is divided by 697.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 2, 256, 4, 6 in increasing order.\nAnswer: -23, 2, 4, 6, 256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 843.69947712 - 843.7. Round c to 5 decimal places.\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -0.749?\nAnswer: -0.549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 408*f - 255*f = 228*f + 5475 for f.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13433 = 96*v + 464*v + 17367 for v.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i**2 + 161060*i + 1297016180 = 0. Calculate i.\nAnswer: -16106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6313?\nAnswer: 59, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24)\/(-180) - (-116)\/30. Let w be (1 - i)*-1 - (1 - 3). Solve -5 = 2*s + w for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((32\/10)\/4)\/(66\/(-2640))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*p + 68*p + 59*p - 183*p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.86 + 0.8. Let z = 1 - 1.06. Let n = h - z. Is n at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11817 and -0.0168.\nAnswer: -198.5256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1309226270.\nAnswer: 2, 5, 11, 17, 373, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ljzljjjjjjjzzjjjzzj. Give prob of picking 4 j.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 5*s - 203. Let n = s - 25. Suppose 4*q - 3*q - n*w - 6 = 0, -w = 4*q - 7. Calculate the remainder when 8 is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x + 22. Let n be w(-17). Suppose 4*b + 32 = -3*j, 2*j = -0*j - n*b - 26. Calculate the remainder when 30 is divided by (-86)\/j + (-1)\/(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258782461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.997016m in centimeters?\nAnswer: 799.7016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*r - r, -5*r - 3 = -2*a. Let g(b) = -2*b - 14. List the prime factors of g(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 5:06 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 365 = 2*u - 401, 2*u - 774 = -3*k. Let v be 5\/((-10)\/6) - u\/(-6). Is 64 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/20*15\/(-102)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -315 + 627. Let f = j - 311.7. Sort -3\/7, 0.2, 2\/5, f in decreasing order.\nAnswer: 2\/5, f, 0.2, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7703 - 17740031\/2303. What is the common denominator of -67\/2961 and p?\nAnswer: 20727","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15744 - 13501.1. What is h rounded to the nearest ten?\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11 - 5\/2 - 8. What is the nearest to -0.42 in -0.05, q, 3, 5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -1. Let l(j) = j - 4. Let b be l(8). Let q = -209 - -229. Solve m*u + b*u = q for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 1638*n = 1635*n + 13, 0 = 4*g - n + 9 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1317910, -2635764, -3953568, -5271298, -6588930, -7906440, -9223804, -10540998?\nAnswer: -11857998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from plrrdjp. Give prob of sequence rj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -821 + 821 - 43*i**2 - 37*i**2 + 58*i**2.\nAnswer: -22*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_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 h(t) = -3*t**2 + 26*t + 1. Let k be h(9). What is the closest to k in 3, 2\/7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -222*i + 73*i + 6556. What is the remainder when ((-143)\/4)\/((-2)\/8) is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2131439917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -5*f - 19. Suppose 0*g - 2*g = -y - 8, 4*g = 3*y + 14. Let w = f - g. Let x(n) = -n**3 + 2*n**2 + 4*n. Give x(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 74 + 22 + -102 + -26.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40.29 * 1138.3.\nAnswer: -45862.107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2849721697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*h - 15 = -116*h. Suppose -h*i = 2*t + 15, -t + 4*t - 3*i - 9 = 0. Solve -3*b + 7*b = t for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkokybkssuyy. Give prob of picking 1 o and 1 y.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 8) to base 12\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 831.654 millennia to months.\nAnswer: 9979848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -123b7 + 1?\nAnswer: -123b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*w + 20. Let g(d) = -d - 14. Let r be g(-11). Let u = -25 - -23. Put r, w, u in increasing order.\nAnswer: r, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/54)\/((-1)\/9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p - 2. Let l be u(-5). Let r(z) = -z**2 + 4*z + 1. Let q be r(4). Suppose -g = -i + 2 - 0, 5*g - 2*i = -q. Put g, l, 0 in ascending order.\nAnswer: 0, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5704 divided by -1426.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010493929 to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -26. What is the highest common factor of 63 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 2*p**3 + 2*p**3 - 6*p**2 + p. Suppose 2*m = -3*v - 3 - 17, 0 = -4*m + 4*v. Let q be 12*(18\/m + 5). What is n(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -17.93. Let z = a - 0.17. Let g = 327\/5 + -65. What is the third biggest value in z, g, 2\/9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -q**5 - 4*q**3\/3 - 5. Find the third derivative of o(i) wrt i.\nAnswer: -120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-4)*26\/(-39)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.382 to one decimal place.\nAnswer: -19.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3518341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v*v\/(v*v**(-10)))))\/v*v**(-10))\/(v*(v**5\/v)\/v*v*v*v*v**(4\/5)*v) assuming v is positive.\nAnswer: v**(-44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1761 + 1763. Solve -6*y - 24 = d*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -9*z + 2. Let f = 0 + -5. Let c(v) = 13*v - 3. Let o(u) = f*c(u) - 8*s(u). Give o(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 7611 = -3*x, 6*x + 5*w = x + 12715. Suppose -1748 = 6*i - x. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 + -34. Which is the smallest value? (a) u (b) -2\/3 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 342?\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22839891 is divided by 993.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -23 (c) -2 (d) 0.4 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*n - 44*n - 25 + 90*n - 32 + 57.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 607230*o**3*r**2 + 5*o**2*r - 2*o*r**2 - 2*o - 7*r**2 + 213*r wrt o?\nAnswer: 3643380*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 163 = -4*t + 53, -t + 46 = -w. Let v = 7 + 18. Calculate the highest common factor of v and t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 310277343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 141*i**2 - 289*i - 1376. Let n be c(-139). Solve -10 = 2*j - n*q + 151*q, q - 5 = -5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63773 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/9)\/((14\/(-105))\/(-2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of -2*k**3\/3 + 6*k**2 + 13*k. Let x be b(-5). Factor -2*z**2 + 32*z - x*z - 2*z**3.\nAnswer: -2*z**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1651*m + 100481 + 23579 = -41040 for m.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 22803872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2232852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 3856 = 3*f, -f - 3838 = 2*f - 4*n. Let j = 17973\/14 + f. Calculate the common denominator of ((-242)\/(-108))\/((-1)\/(-3)) and j.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.145 - -5.145. Put 0.1, a, -4, -1 in ascending order.\nAnswer: -4, -1, 0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -449, -911, -1391, -1889, -2405, -2939, -3491?\nAnswer: -4061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 262 and 4698577.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - t**2 - 4. Let a be b(2). Let h be 1\/((-2)\/12)*(-63)\/189. Solve a = -4*s + 4*c - 32, -h*s - 4 = -4*s - 3*c for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1263\/(-2) + (-4)\/(-40)*5. Let g = -560 - f. Sort 5, g, 4 in decreasing order.\nAnswer: g, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.606165 years in months?\nAnswer: 55.27398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 52586 (b) 0 (c) -1 (d) 0.5 (e) 175\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -0.5 (b) -0.04 (c) 0.1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -90 - 21. Let g = 220 + t. List the prime factors of g.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 4*l - 5. Suppose -h - l*h = 0. Let i(v) = -v + 8. Let w be i(6). Which is greater: h or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*x - 9. Suppose -260 = -7*g + 4*g - 2*h, 200 = 2*g - 4*h. What is the highest common factor of g and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43740731*o**3 + 38563719*o**2 wrt o?\nAnswer: 262444386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23979 or -23980?\nAnswer: -23980","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-104)\/32 - 2\/(-8). Let f(p) = 4*p - 2. Let w(q) = -q**2 - 4*q + 2. Let k(u) = y*f(u) - 2*w(u). Find m such that k(m) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttpppqsqpppqqqttqs. What is prob of picking 2 p?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.60209139 rounded to 0 dps?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 49047 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.38 (b) -5 (c) 3\/5 (d) 494\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 34*y + 1521. Calculate r(26).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -25 - (1 - (4 - 1)). Let m = w + 25. Suppose 16 = 4*r, -m*z = 4*r + r - 26. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-3 + (2 - -1)). Let n = -15 + 18. Let o(k) = k**2 - 3*k + 1. Let a be o(n). Solve -j + a + 0 = w for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-113)\/3 - 365\/219?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**4 + 988660*q**3 + 65162910150*q**2 + 1431607414366340*q - 1431672578265155.\nAnswer: 5*(q - 1)*(q + 65911)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 4*m**2 + 58*m + 19. Let d be p(10). Let b(t) = -45*t - 5. Calculate b(d).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/28 and -31\/5474?\nAnswer: 10948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3975747, 3975745, 3975743, 3975741, 3975739, 3975737?\n\"Answer: -2*a + 3975749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 9, 29, 67, 129, 221?\nAnswer: 349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**2 - 4*n**2 + 5*n**2 + (-3*n + 0*n + 4*n)*(-12357 + 151*n + 12357).\nAnswer: 149*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/(-21))\/(4\/14)*14822\/(-22233)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3233\/4 - -813. Let o = 37\/8 - j. Let v be 2\/6 - (-1)\/(-3). Which is the nearest to -0.2? (a) o (b) v (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 6*s - 21*k + 42 - 7 + 24 + 44 = 0, -5*k + 9 = -8*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 2*v + 7*v + 3*v.\nAnswer: 8*v - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.277588953 and -4?\nAnswer: -1.110355812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3279\/13 - 205537\/819. Let l = -4\/173 + -23629\/3114. What is the common denominator of l and r?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -o**4 - 1\/60*o**5 - 24*o**3 + 12*o + 31\/2*o**2 - 1. Let b(l) be the first derivative of c(l). Find x, given that b(x) = 0.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -404*o - 30 = -414*o. What is the smallest common multiple of o and 156?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23487534 divided by -266.\nAnswer: 88299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 828 - 75. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1009*j + 597*j + 156*j - 3*j + j + j - 2*j + 0*j + 4*j + (-2 + 3 + 1)*(0*j - j + 2*j) + 1 + j - 1.\nAnswer: 1766*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h**2. Let y(k) = 13 - 3*k - 13. Give d(y(w)).\nAnswer: -27*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 2 - -1) + -3 - 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*h + 59*h - 33*h + 15.\nAnswer: -h + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -925691, -925315, -924689, -923813, -922687?\nAnswer: -921311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -110101?\nAnswer: 111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001418 rounded to 5 decimal places?\nAnswer: 0.00142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 9*j + 16 = 20*j - 9*j + 13, 0 = 4*j for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40369274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3 - 1012*r**2 + 198647*r + 199660.\nAnswer: (r - 745)*(r - 268)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 412557692 to the power of 1\/2, to the nearest integer?\nAnswer: 20312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p**3 - 2*p**2 - 2. Let y(t) = 10*t**3 + 6*t**2 + 7. Let d = 19 - 26. What is d*w(a) - 2*y(a)?\nAnswer: a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5500 - 5500 + u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.339 - 31.339. Which is the second biggest value? (a) 0 (b) -4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 + -21. What is the second biggest value in 0, 4, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, y: 3, j: 3, n: 5, h: 3}. Give prob of sequence jj.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40264, -40273, -40286, -40303, -40324?\nAnswer: -40349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -0.3172916813.\nAnswer: 2.6827083187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 2 - (4 - 5 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 6 - 25 - 8 + 224*z.\nAnswer: 224*z - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 308571 + 56?\nAnswer: 308637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -898.27 - 11.73. Let x = -915 - r. Which is smaller: -0.2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 2.7\nAnswer: 8.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 4*p - 1. Let v be o(3). Solve -3 = -v*u - 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11098363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 3\/28, 0.0125, -0.4, 7.4 in increasing order.\nAnswer: -0.4, 0.0125, 3\/28, 0.6, 7.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20345621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3116 + 3114. Let i(j) = 4*j**3 + 3*j**2 - 1. Let y(l) = -l**3 - l**2 - 1. What is r*i(h) - 6*y(h)?\nAnswer: -2*h**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-50)\/(-4))\/((-46)\/(-184)). What is the highest common factor of k and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6587274 divided by -6.\nAnswer: -1097879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.32684 - -0.02684. Which is the closest to 2\/3? (a) -7 (b) 0.4 (c) 100 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*v + 11*v = -s - 3, 4*v - 1 = -3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 688 = 11*h - 7*h. Let p = 361 + h. What are the prime factors of p?\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24 + 1\/2*2. Suppose 2*s - 17 = v. What are the prime factors of s?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12312895 rounded to the nearest one hundred thousand?\nAnswer: -12300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fq when two letters picked without replacement from {q: 7, j: 10, f: 1}.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 3:40 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 102, 126, 78, -78, -378, -858?\n\"Answer: -6*b**3 + 66*b + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2045666 divided by -46?\nAnswer: -44471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*t = -530, -11*t + 2105 = 4*s - 8*t. Calculate the remainder when s is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105 and 258004980?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2933*r**2 - 1279*r**2 + 2616*r**2 + 462*r**2 to the form g*r**2 + b + p*r and give g.\nAnswer: 4732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 180609 and 238834563?\nAnswer: 13893","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -66823*a**4 - a - 11431?\nAnswer: -801876*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 18*t**2 - 42*t + 48. Let r be u(-15). Solve -4 = -b + 2*b + 5*d, 0 = -r*b - 3*d for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 5*b = -2*l + 7, 0 = 4*b + 12. Put 1, 12, 7, l in decreasing order.\nAnswer: 12, 7, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 223140338*l**2*o - 875355309*l**2 wrt o.\nAnswer: 223140338*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 16*u - 17*u - 598, 4 = -u. Calculate the highest common divisor of y and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94388377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 333868387?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*u + 8*u + 9*u)*(-4 + 3 + 2) + (5*u - 4*u + 0*u)*(2 + 5 + 3)*(-3 + 4 + 0) to o*u + z and give o.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + -2)*5 + (sqrt(605) + -1 - sqrt(5))**2)*3 - ((sqrt(105) + (sqrt(105) - (sqrt(105)*3 + sqrt(105))))\/sqrt(3))\/(sqrt(2268)\/sqrt(9)).\nAnswer: -134*sqrt(5)\/3 + 1473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 844*v**2. Let g(h) = -11*h**2 + 2. What is g(p(m))?\nAnswer: -7835696*m**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - d + 4*d)*(-5 - 2 + 0)*((0 - 2 + 4)*(-1 + 1 + 2*d) + d - 4*d + d + 3 + d - 3 + d - 1 + 1).\nAnswer: -56*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 5 - (21 + -18)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 68 + -62. Find the third derivative of 3 + 1 - 47*c**3 - 128*c**q + 126*c**6 - 5*c**2 wrt c.\nAnswer: -240*c**3 - 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 - 49. Let q = -5 - b. What is the remainder when q is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 54 - -43.69.\nAnswer: 97.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((u**(-29)\/u)\/u)\/u)\/u*u)\/u**9)**42 assuming u is positive.\nAnswer: u**(-1722)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -8. Let n be u\/14 - 32\/308. Let v = 19 - 18.8. Which is the biggest value? (a) v (b) 5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 711246 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31808*c - 31819*c - 341 = 0 for c.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 10429*d - 11. Give b(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2 + 5*r - 6. Let l(x) = 2*x**2 + 3*x - 12. Let g(i) = -i**2 + 13*i + 10. Let u be g(14). Calculate the least common multiple of l(u) and h(-5).\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -26*w**2. Suppose 0*z = -4*z. Let b(h) = z*h + h + h. Give b(s(u)).\nAnswer: -52*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 172 - 176. Which is the closest to -2\/35? (a) j (b) 4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 1 = 2*s + 5, 0 = -5*o - 5*s - 15. Suppose -3*w + 10 = -w. Solve w*i + 1 + 4 = o for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*k**3 + 0 - 3\/4*k + 0*k**2.\nAnswer: 3*k*(k - 1)*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 22*k - 4066. Let r(b) = 139*b - 24395. Determine -19*d(o) + 3*r(o).\nAnswer: -o + 4069","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 - 29*f + 42. Let a be k(-15). Suppose -35 - a = -5*b + 3*g, -5 = -5*g. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 - -1.067607.\nAnswer: -28.932393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*u - 16 = 6*u, -4*u = -3*h - 47. Let o be 502\/6 - 3\/h. Suppose 7*s - o = 3*s. What are the prime factors of s?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 0. Suppose -o + t = -3. Suppose 4*d - o*z + 4 = d, -2*d - z = -12. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -106341824 + -2?\nAnswer: -106341826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8183973.95501 and -7.9?\nAnswer: 8183981.85501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15*(-187)\/(-3)*4. Suppose -44*c + 40*c + d = 0. Calculate the highest common factor of 17 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*o**3 + 5*o**3 + 105*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((4 + -4*(-4 + sqrt(1872) + 5 + 2 + sqrt(1872)))*1)**2)*-4.\nAnswer: -479472 - 6144*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 504 greater than or equal to 503?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (232\/(-10))\/(1\/(-5)). Suppose p = 121 - o. Solve -4*j = -5*s - 9*j - p, -j - 6 = 2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 30\/35 - 27093\/77. Let n = f + 353. Suppose -5 = -o - 1. Solve 4*v + 1 - 9 = -n*z, -o*v = -z - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-411)\/548)\/((-9)\/264).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -3*y - 2*n, -282*n = -3*y - 287*n - 34 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-375)\/400)\/(3\/(-48))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -6 + 0*o - 6*o + 0*o - o**2. Let b(x) = -x**2 - 10*x - 7. Let d be b(-9). Suppose -4*k - 14 = d. What is r(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/700 and -31\/1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 160*v - 8960. Determine m(56).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -35.82 and -2.\nAnswer: -37.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, g: 1, v: 1, k: 4, j: 3}. Give prob of picking 3 e.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9\/4 (b) 0.174 (c) 0.2 (d) -23.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 5*q + 1. Let o(s) = -s**3 + 2*s**2 + 6*s - 3. Let u be o(4). Let a = u - -6. Give n(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(320))**2 - (sqrt(605)*1 + sqrt(605) + -4) - ((sqrt(180)\/sqrt(4)*-2)**2 - ((sqrt(30) + sqrt(120))\/sqrt(6) + sqrt(5)*1*1)).\nAnswer: -18*sqrt(5) + 2704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2461 + -557. Is 16 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of 1\/15*c**4 + 1\/3*c**3 - 6\/5*c**2 - 1\/50*c**5 + 0 - 61*c. Determine v so that s(v) = 0.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2 + 16*v - 6. Let t be p(7). Let h(u) = u**3 + 2 + 4*u - 11*u + t*u. Let f be h(0). Solve -x - x = -f for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-117)\/372 - (-80)\/1240\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8603*x**4 + 12819*x**2?\nAnswer: 206472*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 676824806.\nAnswer: 2, 7, 48344629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 5*v + 1251000 = 0. What is v rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 - 73 = -19*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7240 - -7471. What is the greatest common factor of l and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 6*x + 7. Let d be n(0). Let c(j) be the first derivative of -3*j**2 + 1\/3*j**3 + d*j - 3. Calculate c(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 41*f**2 + 1219*f + 74. Let p be x(61). Solve -4*v - t - 1 = -20, t = 4*v - p for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-7))\/(63\/(-42)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2781 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**4*v\/(v*v\/(v*v**(-2\/3))))\/(v**(-1\/4))**(4\/11) assuming v is positive.\nAnswer: v**(146\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, v: 1, n: 4, h: 4, k: 1, j: 6}. What is prob of picking 3 n and 1 k?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*q = -73*q - 3. What is the smallest common multiple of 29 and q?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 493, 584, 675, 766, 857, 948?\n\"Answer: 91*p + 402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3667386391?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8776*r**3 + 14557*r**2 wrt r.\nAnswer: 52656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -8, 4\/67, 2\/25, -4 in decreasing order.\nAnswer: 4, 2\/25, 4\/67, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*10*39\/120.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/3780*28*(-10)\/(-8).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 14\/129561?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + -1 - (-544 - -515). Let j = 1053 - 81. Calculate the highest common divisor of j and q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 5055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -347 + 129. Let i = w + 441. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millennium in years?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -4. Let v be (2\/s)\/(3\/(-9)). What is the second derivative of -r - v*r**2 + 5*r**2 + 2*r**2 - r**2 wrt r?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 500 and 1220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*c + 15*c - 67*c + 23*c + 95.\nAnswer: -13*c + 95","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -60, -122, -184, -246, -308?\n\"Answer: -62*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42354 divided by -15.\nAnswer: 14118\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -48420, -96847, -145274?\n\"Answer: -48427*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of 0*r**7 - 1\/12*r**4 + 2*r**2 + 0*r**6 + 0*r**5 + 0*r + 1\/84*r**8 + 0*r**3 + 0. Find the second derivative of x(o) wrt o.\nAnswer: 80*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -317 - -316. Let g(z) = -3*z**3 - 5*z**2 - z + 3. What is the least common multiple of -5 - 21*(c + 0) and g(-3)?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.0781 and 4.\nAnswer: 4.3124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a kilogram in grams?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02631542 to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/2 - -3)\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -693*p**2 - 58*p - 4. Let s(u) = 694*u**2 + 73*u + 5. Determine -5*o(t) - 4*s(t).\nAnswer: 689*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -12\/101063 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/29 in 0.03, 1\/11, 6?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 29*a - 27*a - 4, 4*a - 2 = -c. Let o = -318.7 + 306. Let m = -13 - o. Put m, 3, 6, a in increasing order.\nAnswer: m, a, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/44 - (-662)\/11. Suppose -k = -3*k + n. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3944 - -0.394393086. Round r to 7 dps.\nAnswer: -0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*v - 2 + 19, 0 = -4*v + 3*h - 19. Suppose 1 = -3*l - 0*y + 2*y, -5*l + 13 = 4*y. Let c = l + -3. Sort c, 5, v.\nAnswer: c, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2014 and 304?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ckc when three letters picked without replacement from kckkkkkckkckkkkkkc?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3735*g + 698*g - 5972*g.\nAnswer: -9009*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-1666)\/170 - -10)\/(3\/(-510))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -327274, -1309095, -2945462, -5236375, -8181834?\n\"Answer: -327273*i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-14))\/(1*19\/4)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 845, 131, -5 in decreasing order.\nAnswer: 845, 131, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 122988 or 2.4?\nAnswer: 122988","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 677.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3413\/35 + -621\/7. What is the common denominator of (-168)\/9 + (-4 - -2) and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175154797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -111 - -113. Let l(p) = -3*p - 91 - p**y + 86 + 7*p - p**2. Let g = -7 - -11. Let z(m) = m - 1. Give g*z(j) - l(j).\nAnswer: 2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 119945504 and 1645.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 32548136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 278*h**2*l**3 - 98*l**3 wrt h?\nAnswer: 556*h*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 64 by -4.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, j: 3, s: 6, o: 6}. Give prob of sequence oso.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b + 3*b**2 + 9*b**2 + 0*b**2 + b**3 + 0*b**2 to the form k*b + x + i*b**3 + j*b**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1641665 and 46623286.\nAnswer: 233116430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-259)\/9 + 14 - -15. Suppose 0 - 4\/9*n + 2\/9*n**2 + w*n**3 = 0. Calculate n.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5\/667 + 903765\/2668. Is x at least as big as 338?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*i + 3*i - 24, -3*a - 2*i - 50 = 0. Let p be (4\/a)\/(1\/(-7)). Solve g + 3 = p*z - 2, g - 7 = -z for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((0 - -1)\/3). Suppose -4*a - 26 = b*o + 7, 4*o = -2*a - 34. Let w(z) = -17*z + 8. Is w(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -75 + 75.00101. What is u rounded to 4 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.22 * -9\nAnswer: 1.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 41617 (base 8) to base 9\nAnswer: 25646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2623 = 2*a - 4087, -3*r + 5045 = -a. Does 10 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m + 74. Give k(29).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1647, 1650, 1655, 1662, 1671, 1682?\nAnswer: 1695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14513353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 82\/(-8)) + (-50140)\/5014?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17956?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 35 + -9 + (-4)\/(-2) + -6. Solve -s = 2*k - 4*d, 0*k + 5*k + 23 = 2*d for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 297259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 3*s**3 + 202803*s**2 - 11163240*s = 0.\nAnswer: -67656, 0, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.2 - -4. Let r = a + 0.1. Let s = -0.1008 - r. Round s to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(91)*2 - sqrt(91)) - sqrt(91) - 5*sqrt(91)*-2)*-2)\/(5*(sqrt(847) - (sqrt(847) - 1*sqrt(847)))*-4).\nAnswer: sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -0.0276, -37, -1\/3, 0.1.\nAnswer: -37, -3\/7, -1\/3, -0.0276, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 19, 17, 7, -11, -37?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 121*q + 3270. Let m be d(-27). Sort 38, 32, m, 1 in increasing order.\nAnswer: 1, m, 32, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17535871.\nAnswer: 2749, 6379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -216 in decreasing order.\nAnswer: 2, -5, -216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/((-115)\/(-10))*(-1)\/(-7).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = -3*o - 7*t + 44045, 0 = 2*t - 8. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*s = 8, -3*w + 18 = 5*s - 5. Let v(j) = j**2 - 1. Let q(n) = -6*n**2 + 3. Give w*q(u) + 3*v(u).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 2*i**2 + i)*(-416 - 741 - 547) - 4*i**2 + 2*i - 2 + 3*i**2 + 1.\nAnswer: -3409*i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of 3\/10*o**5 + 4*o + 0*o**2 - 5\/6*o**4 + 0 + 2\/3*o**3. Determine k so that v(k) = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + o - 5*o = 31, 2*o = 3*j - 23. Suppose p = -j*h - 5, -3*h + 0*h - 3 = 0. Put 5\/4, 3, p in descending order.\nAnswer: 3, 5\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -2. Suppose 2*v - 16 = 3*o - 7*o, o - v = f. Let s(l) = -l**3 + 2*l**2 + l + 2. Give s(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 u when two letters picked without replacement from vvudhouq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z + 3*h - 76, 130*h + 119 = -11*z + 134*h for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(((-22)\/1144)\/((-6)\/(-16))). Suppose 0 = 4*z - 29 - j. Solve g = 22 - z for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g**2 - 4*g**2 + 635*g**3.\nAnswer: 635*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -536 - -640. What is the remainder when 207 is divided by u?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 23*k**2 - 2*k + 1. Let a be z(1). Let p(s) = 2*s + 1. Let u be p(1). Suppose u*i - 61 = -a. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19 - 19435751508.76.\nAnswer: -19435751527.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(91)\/(sqrt(28)\/sqrt(4)))**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*j - 2 = 0, -2*u - 2*j + 7 = j. Let w = -880 + 1075. Suppose 0 = -u*o - o + w. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r**2 - 19*r + 16. Let w(f) = f**2 + 9*f - 8. Let v(y) = -2*t(y) - 5*w(y). Let d be v(6). Let o(x) = 40*x - 3. Is o(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*2\/(-20) + 42\/(-105)*2.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*l + 9*l + 10, 2*a - 2*l = -10 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2529\/8 bigger than -317?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -32?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5262 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.2, -8\/9, 5 in descending order.\nAnswer: 5, -8\/9, -2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12558 - 175887\/14. Let h = 82255\/11322 - -8\/629. Calculate the common denominator of q and h.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 24*g**2 - 45*g - 96. Determine s(22).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-633)\/(-1899))\/((-21)\/(-585))?\nAnswer: 65\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*y**4 - 19*y**4 + y**4)*(-2 + 2 - y).\nAnswer: 47*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6*1\/(-1 + 2). Suppose m*z = 3*z + 12. What is the units digit of 4*z\/((-8)\/(-22))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52 - -55. Is l - -124 - (5 - 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-1))\/(-1) - 0. Let a be 1\/(-3) + 1\/3. Let b be a + (k - (-9)\/(-7)). Do 1 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*v**4 - 112*v**2 - 103*v wrt v.\nAnswer: -24*v**2 - 224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13918 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*c + 3*c. Suppose 0 = 5*b + 3 - c. Suppose 0 = -5*h - 5*i + i + 20, b*i + 20 = 5*h. Solve -2*s + q - 5*q - h = 0, -4*q = -4*s + 28 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.048707 and 0.1.\nAnswer: 0.0048707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8460 and 12?\nAnswer: 8460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (207\/(-1265))\/((-126)\/20 + 6)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**3 + p**2 - 2*p**2 + 3*p**2 - 1 + 2 to g*p + u*p**2 + l*p**3 + y and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.74 + 0.58. Let l = 6.28 + -6.4. Let n = l + d. Round n to one decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = -3*h + 2*v, -116*v = -112*v - 76 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - -4*sqrt(84)*5)\/sqrt(12))**2*-5 + sqrt(28)\/(-1*sqrt(4)) + -2*sqrt(14)\/sqrt(2).\nAnswer: -15435 - 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 9:44 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9882301 millilitres?\nAnswer: 0.0009882301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 56, 91, 130, 173, 220, 271?\nAnswer: 326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*c + 1. Suppose c*j + 2 - 8 = 0. Factor 2\/7 + 0*w + 2\/7*w**4 + 0*w**j - 4\/7*w**2.\nAnswer: 2*(w - 1)**2*(w + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3799133 - -5?\nAnswer: 3799138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, 4\/35, 4, -51.2, -4, -1?\nAnswer: -51.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -158, 997, 20.1?\nAnswer: 20.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -12*l. Calculate k(2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 10 = -28*q + 26*q, 15 = -5*q - 5*n for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -212013365 at least -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 39 and 0.15.\nAnswer: 39.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 0.1 (b) -0.18 (c) -1398\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 183318 = 4*s, -4*d = 2*s - 28397 - 63277. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s\/s**1)))**(1\/3)*(s**(-2\/3))**20*((((s\/(s*s*s**(2\/7)*s*s))\/s)\/s*s)\/s**(-3\/4))\/((s*s*s**(-5))\/s**(-1\/6)) assuming s is positive.\nAnswer: s**(-393\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 494326 to the power of 1\/2, to the nearest integer?\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 8*t - 3. Let o be (-90)\/(-21) - (-8)\/(-28). Let c be i(o). What is the greatest common factor of 130 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1152000860?\nAnswer: 2, 5, 61, 944263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.8 + -8. Let p = u - -1.288. Let h = -0.08 + p. Round h to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/21479 and -35\/452.\nAnswer: 9708508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in -3, -190, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 3) + (-3)\/(-7). Let p = -2\/2997 + -997\/2997. What is the closest to 4 in p, 1\/4, m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 + 21.5. Which is the second smallest value? (a) -2\/13 (b) s (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 469*i**2 - 946*i**2 + 36779*i**3 + 477*i**2.\nAnswer: 36779*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 352*k - 16. Does 7 divide b(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -0.78 (c) 2.5 (d) 4 (e) -1\/5 (f) 1\/5 (g) 0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + sqrt(243) + -1 + 4 + (-2*sqrt(36)*-2)\/sqrt(1200).\nAnswer: 6 + 47*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - -1)\/(-1 + 0). Let a be (-1)\/(-2) - 13\/(-26). Does 5 divide (-26)\/x*(0 - a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -878.\nAnswer: -1\/439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -223.9 - -224. Which is the nearest to h? (a) -4 (b) 1 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10 - 4) + 30\/(-5). Suppose -4*b + 5*z - 2 = r, b + z + 2*z = 8. Suppose 0 + 5*n**b + 15\/2*n - 5\/2*n**3 = 0. What is n?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28463085 and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -98, 0.15, 2 in decreasing order.\nAnswer: 2, 0.15, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55325970?\nAnswer: 2, 3, 5, 7, 73, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10777 + 4?\nAnswer: 10782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.13 (b) 3 (c) -68\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.239 * 72954\nAnswer: -17436.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5137739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296378225?\nAnswer: 5, 11, 13, 82903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z + 3. Determine p(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111000111 (base 2) to base 6.\nAnswer: -4251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -975*u + 976*u + 2 = -4*p, -4*u = 3*p + 8 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 1) + (0 - (17 + -12))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -830 + 836. Let k(z) = -z**3 + z**2 + z + 15. What is the remainder when k(0) is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -0.5 (c) 0.01 (d) 2\/131 (e) -0.28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((2 + -2)\/2)\/1. Suppose -49 = -5*z - 2*w, 3*z - 3*w + 0*w - 21 = s. What is the greatest common divisor of z and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/9*d**5 - 94\/9*d**3 + 22\/9*d**4 + 160\/9*d**2 + 34\/9 - 121\/9*d.\nAnswer: -(d - 17)*(d - 2)*(d - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4552*a - 9130*a + 10 + 4577*a. Let q(y) = -1. Give 4*i(u) + 44*q(u).\nAnswer: -4*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4346.\nAnswer: 2, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -88217875 at most -88217876?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 9*m - 8*m. What is the remainder when 11 is divided by m\/3*((-24)\/2)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -9 + 6 + 3 + 2*q. Let l(d) = -15*d**2. What is y(l(u))?\nAnswer: -30*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) 1\/11 (c) -4 (d) -15 (e) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1246363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + p + 4. Let j be ((-8)\/(-6))\/(p\/(-6)). Suppose 3*k - j*k + 9 = 0. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -152 divided by -21\nAnswer: 152\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11243\/2200 - 4\/275. Let h = 29 + -29. What is the common denominator of y and (2 + h)\/(-23 - -43)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(432)*3 - sqrt(432)))**2 - 1*(-3*sqrt(36))\/sqrt(12).\nAnswer: -237*sqrt(3) + 1753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/7 + ((-4662)\/(-49))\/(-6). Let y be (-4)\/q*(-715)\/(-5)*4. Calculate the highest common factor of y and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) 0.584 (c) 0 (d) -116423\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 338 - 338 + 44*u in the form g*u + b and give g.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w - 4. Let o = -13 + 19. Let p be b(o). Let l(x) = x**3 - 9*x**2 + 7*x + 10. Let k be l(p). Solve 0 = -k*f + 6*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 8:09 PM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289 is divided by 73?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*f - 2*c, 4*f = -c + 4*c + 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5581, -11230, -16879, -22528, -28177?\n\"Answer: -5649*z + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 251992 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06 and -1212058.\nAnswer: 72723.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -24*g**3 - 5*g**2 + 5. Let k(p) be the second derivative of -3*p**5\/5 - p**4\/6 + p**2 - 408*p. Determine 5*k(d) - 2*v(d).\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33747969\/11 + -3065483. Let h = -2516 + u. What is the common denominator of h and (-4)\/(-6) - (-192)\/54?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 13465836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*p - 3*p**5 - 202*p**2 - 40*p**4 + p + 49*p**4 + 7*p - 11*p**4 - 315 wrt p.\nAnswer: -60*p**3 - 24*p**2 - 404","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146526 is divided by 146493.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 4*u - 3*u)*(-u + 7*u + 3*u).\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 11*x**2 + 2*x + 22. Is 15 a factor of q(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 8*w + 10*w. Suppose 0 = w*d + 15*d. What is the closest to d in 0, 0.3, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 12*n - 52786 + 26400 + 26397 = 0, 3*t = -3*n - 84 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d**2 - 5*d - 5. Let b(r) = 5*r**2 + 6*r + 6. Let p(q) = 5*b(q) + 6*j(q). Let v(g) = 59*g**2. Give v(p(a)).\nAnswer: 59*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**6 + 153*l**4*w + 15*l**2*w + 2*l*w wrt l?\nAnswer: 240*l**3 + 3672*l*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 8:33 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*r, 20*g - 4*r = 21*g - 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, 1, 4, -0.06, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -2c?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i + 6. Let u(h) = 17*h - 5*h - 90*h**2 - 6*h + 91*h**2 + 1 - 5*h. Calculate 4*u(x) - v(x).\nAnswer: 4*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*p + 3 - 79*p**2 - 2 + 42*p**3 + 79*p**2 wrt p?\nAnswer: 252*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1.32419 days?\nAnswer: 1906.8336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 n when two letters picked without replacement from beeeeeeeene.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/5 (b) -1\/4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-4396)\/56)\/(-157)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -13*t. Let n be f(-6). Suppose -2*g + z = -n, -g - 3*z = -2*z - 42. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 44. Let x(b) = -b**2 - 15*b + 37. Let j be x(-16). Calculate the highest common factor of j and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 1. Let d = 30 + -30. Let a = -209 + 3133\/15. What is the nearest to a in -0.4, d, j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + v + 96 = 0. Suppose 32*z = 24*z + v. Suppose 2*s = z*s - 32. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(9*l - 3*l - 16*l - 1)*(-l + 3*l**2 + l).\nAnswer: -60*l**3 - 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 - 35. Let h be (-3)\/6*(-14 + 0). Let u = h - s. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -82 (c) -0.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103945 is divided by 525.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 59489764*y**4 - 21779825?\nAnswer: 237959056*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 256 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -118829.1 to the nearest one hundred.\nAnswer: -118800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -956*l = -2*r - 955*l - 21, -5*r + l = 33. Let c(s) = -3*s**2 - 4*s + 1. Let z(y) = -y**2 + 1. Let q(f) = -c(f) + z(f). Determine q(r).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1644594569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.00061 and -8.\nAnswer: -0.00488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1958 divided by -22\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1419\/(-1892))\/(6\/(-4)). Factor -3\/4 + s*o + 1\/4*o**2.\nAnswer: (o - 1)*(o + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49 - -59) + (-7 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -71\/4191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 135\/(-36)*(-4)\/(-6)*-22302. Does 46 divide (4\/6)\/(7\/(x\/10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 24, -55, -244, -579, -1096, -1831?\nAnswer: -2820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2078760\/75 - (-52)\/(-65).\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171800571.\nAnswer: 3, 57266857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (10356\/24 + -2)*2 a multiple of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**3\/6 - 128*b**2\/3 + 130144*b\/3 + 13522432 = 0?\nAnswer: -392, 528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 5*t**3 - 3415275*t**2 - 13661160*t - 13661180 = 0.\nAnswer: -2, 683059","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (6 + (9 - 5))) + 8?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - -2)\/((-3)\/(-24)). Suppose -q - 2 = -d. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*f - 42 = 122*f. Solve 0 = -13*m + f*m + 28 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000452581 to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(19)*1 - (sqrt(1539) + 2))**2.\nAnswer: 28*sqrt(19) + 935","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = t. Solve k + 2*o - 9 = 0, t*k = -2*k + 5*o for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -11*p - 2. Let o(d) = -32*d - 6. Let s(t) = 17*g(t) - 6*o(t). Let y(b) = 16*b + 7. What is 7*s(f) - 2*y(f)?\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1279 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 200 divided by -40\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.666, -0.1102, 2\/21 in descending order.\nAnswer: 2\/21, -0.1102, -1.666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-5)\/55)\/((-266)\/24871))\/(2\/(-16)).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*g - 7*g + 621. Let k = g - -408. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -27*g + 4. What is the remainder when f(-1) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**4 - 4*l**4 + l**4)*(3258 - 5340 - 3727 - 5558 - 6862 + 1394).\nAnswer: 33670*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 5*f**2 + 3*f - 6. Let v be g(6). Suppose -4*m + 2*m + v = 0. What is the highest common divisor of m and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 - 38. Solve -j = 2*l - 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -837*h = -832*h + 100 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.055269 + -340342?\nAnswer: -340341.944731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y - t - 8, -3*y - t = 22 - 19 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**4\/6 - 2759*q**3\/3 - 3730741*q**2\/6 - 1846051*q\/3 + 3725216 = 0?\nAnswer: -608, -3, 2, 6127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5760 plus 9?\nAnswer: -5751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34262.7 - 36378. What is k rounded to the nearest 10?\nAnswer: -2120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**4\/11 + 620*v**3\/11 + 46136*v**2\/11 - 299568*v\/11 = 0. Calculate v.\nAnswer: -158, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, -17, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -15, -5*t + 8*j = 3*j - 30. Suppose -t*z = 2*z - 25, -z + 141 = 2*c. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 215.628 + 0.372. Let p = t - 212. Which is the nearest to 0.03? (a) -13\/2 (b) -0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**5 + 166*f**4 - 3*f**3 + 2*f**2 - 7*f - 89.\nAnswer: -60*f**2 + 3984*f - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/204*192*1\/(-14)?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + n + 2*n + (-2*n + 4*n - 4*n)*(-2 + 3 + 1))*(4*n**2 - n**2 - 4*n**2)*(272*n - 345*n + 612*n).\nAnswer: 1617*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 74 + -46. Let f = m + -22. Suppose -29 = 2*q - f*q + 5*p, 3*p - 9 = 0. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 20 = j + w, 4*w = 3*j - 11. Let l(z) = -5*z - 6. List the prime factors of l(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -219463300 rounded to the nearest 100000?\nAnswer: -219500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5cc (base 14) in base 2?\nAnswer: -10010001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*h**3*p - 4*h**3 - 2*h**2*p + h*p + 23*h - p wrt h?\nAnswer: 42*h*p - 24*h - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -878352 (base 10) to base 13\nAnswer: -249a47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 0 + 19*u - 26*u.\nAnswer: -7*u - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 j, and 1 u when three letters picked without replacement from juuhjuu.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b**2 + b. Let k be r(-2). Let u be 9\/(-6)*(-14)\/1. What is the remainder when 10 is divided by (-52)\/k - (-6)\/u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + -1 - 0 - (2798 - 2781)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 806\/(-18) + (-6)\/27. Let i = q - -55. Suppose -4 + 2 = -j. Solve 0 + i = -j*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15990 and 3.248?\nAnswer: -51935.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + 4. Suppose 2*h - h = u. Is h at most 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567)*-4)\/sqrt(9)*-3.\nAnswer: 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*1\/(-4) + (-510)\/136.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1311330 (base 4) in base 9?\nAnswer: -11316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2193124860 to the nearest integer?\nAnswer: 1299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 50 - 8 = 0. Let h = 16 - u. Suppose h*p - 108 = -0*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: What is the least common multiple of 39933 and 324?\nAnswer: 159732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -13. Suppose -3*j + 34 = q*d, -4*d + 36 = -3*j + j. Solve c - 12 = -c + 4*p, 3*c - p = d for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*x = 804, -7*x + 10*x = 12. Let c = 359 + a. Is 13 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 13*m**2 + 3. Let x be u(13). Suppose -p = x*q, -4*q = -0*p - 2*p + 20. Let n(o) = 0*o - 6*o + o - o**3 - 1 - p*o**2 + 3*o. Give n(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 6 - -72 - 5 - (-5 - (19 + -38)).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 60945557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((5 - 2)\/(-3)). What is the units digit of g\/2 + (-31)\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1722355, 1722355, 1722351, 1722343, 1722331, 1722315?\n\"Answer: -2*g**2 + 6*g + 1722351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-284)\/(-10))\/(-29 - (-17560)\/200 - 59).\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24601 + 238502 = x + 5*z, 3*x + 5*z = 641683. What is the tens digit of 2\/(-5) + x\/415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 15*y - 82 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5963287 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3*(5 + ((-1 + sqrt(125) - sqrt(125))*3 - (0 + sqrt(125) + -2 + sqrt(125)))))**2*-4.\nAnswer: -11520*sqrt(5) + 74304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3198*b = 3197*b - 1, b + 1 = -4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 33\/(-9) + 1\/(-3). Let b(p) = -p**2 - 6*p - 5. Let z be b(d). Suppose 0*w = -z*w + 24. What is the greatest common divisor of 88 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5425 (base 6) to base 4.\nAnswer: 103121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 150189, 150280, 150437, 150660, 150949?\nAnswer: 151304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 1 = -3*p. Suppose 56 = 2*h + 4*f, -3*f + p*f + 200 = 5*h. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8930 + 22951. Is w a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27798*h**3*q - 2*h**3 - 656*h**2*q + 2*h*q - 11*h wrt h.\nAnswer: 166788*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/19 (b) -2\/5 (c) 190534\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8771.3 + -8770.3. Let k be 1*((-30)\/3 + 2). Which is the nearest to -0.1? (a) t (b) k (c) -5 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120\/(-16)*32\/(-120)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 113*o. Let s(b) = 555*b - 3. Calculate -11*f(t) + 2*s(t).\nAnswer: -133*t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-2\/5))**(-2\/5)*u**(2\/5)*u**11 assuming u is positive.\nAnswer: u**(271\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -103 + 106. Factor 3*m**4 + m**3 - 7*m**3 + 6*m**i - 6*m**2 + 3.\nAnswer: 3*(m - 1)**2*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33\/2, 2\/5, -1\/2, -25 in ascending order.\nAnswer: -25, -33\/2, -1\/2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**7\/i**(-2\/13) assuming i is positive.\nAnswer: i**(93\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2\/3 - 5*b\/3 + 10\/3.\nAnswer: -5*(b - 1)*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/8, -1\/296, 13\/3, -2?\nAnswer: -1\/296","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4456 - 4451.487. Let n = 0.513 - s. Let d be -1 + 2 + (-64)\/70. What is the third smallest value in 5, n, d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1234.\nAnswer: 2, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 46 = -2*i, -5*x - 5*i - 175 = 40. Let g be (x\/(-1))\/(3\/(-57363)). Let u = g + 311324. What is u rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -15. Let y be t*1 + (-2 - -4). Solve 2 = c - y for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/1435412 and -103\/10.\nAnswer: 7177060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/18 - 3)\/(6\/4).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r + r - 3*r + 0*r + 3*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((-1 - 7) + 1 + 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*a - 293 = 121. What is the remainder when 45 is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 greater than or equal to 305\/67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(5 - 5)\/(-6 + 30\/6). Put 4\/9, -4\/7, -0.4, v in ascending order.\nAnswer: -4\/7, -0.4, v, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*x**4 + 103*x**3 - 957*x**2 wrt x.\nAnswer: 144*x + 618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 4. Suppose t*w + 3*g + 3 = 4*w, -3 = 3*g. Suppose w*i = 2*i - 42. Calculate the greatest common factor of 14 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o**2 - o + 3. What is t(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8987)\/645 + 14)\/((22\/12)\/(-11))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538 is divided by 516.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 39 or 5738?\nAnswer: 5738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 4*g + 14. Let d be n(6). Solve 2*a - 24 = -2*f - d*a, -3*f = 4*a - 26 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 times -24?\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 917673227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -2. Let g be 2 + 0\/(j - 2). Solve 5*n = g*l + 6, 0 = -l - 3*l - 12 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**3 - 8*f**2 + 9*f + 4. Let k be c(4). Suppose -2*p + 78 = k. Suppose -p*l = -25*l + 276. What are the prime factors of l?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*u = -24, 2*w + 4*u = 2*u + 24. Is 126\/(-10)*(-100)\/w a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2720*d**3 - 4724*d**3 + 2726*d**3.\nAnswer: 722*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.2878271 rounded to one dp?\nAnswer: -26.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 62 = -52. Let j = 65 + h. Let g = -80 + j. What is the remainder when 7 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*q - 14*q + 498. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 1782.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 69216 and 17879358.\nAnswer: 4326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/(-80)*(5 - 4). Let n = 0.34 - 0.04. What is the nearest to 3\/5 in n, t, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*f + 2, 0 = f - 9*q + 4*q + 12. Is f at most -36\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y - 66 - 54. Let t be 1\/4 + (-75)\/y. Find the second derivative of -12*s**3 + 13*s + 12*s**3 - 17*s**4 + 11*s**t wrt s.\nAnswer: -72*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vjxv when four letters picked without replacement from jjvjxgjg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 29008 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*c**5*d**3 - 440*c**5*d + 29*c**2*d**2 + 4*c*d**3 - 2 wrt c.\nAnswer: 240*c**2*d**3 - 26400*c**2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 0.2, -0.5, -2.19, -5\/13?\nAnswer: -2.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = -3*t + 23*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8688392 is divided by 6347?\nAnswer: 5696","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.11*0.5125\nAnswer: -0.056375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4441 * -0.08.\nAnswer: 355.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -8*m**3 - 158*m**2 + 37*m - 36. What is t(-20)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 424*c = 44*c - 9*c - 1167 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 4:57 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26965 + -26965.00140357. Round i to 4 dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 81*o - 1627. Let n be g(36). Which is the second biggest value? (a) 0.1 (b) -1 (c) n (d) 0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 226 - 224. Solve h + 13 = x*j, 5*j + 3 - 23 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-10)*(30\/(-6))\/(108\/34290*-5).\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 299 - 182. What is the second derivative of m*y + 15*y**2 - 10*y + 8*y**2 wrt y?\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) -4 (b) -2\/9 (c) -0.3 (d) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 + 8*g - 1. Let h be o(-4). Let y be h\/((-2)\/24*-3). Let i be -3 + 15*y\/(-12). Solve 3*r = i + 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*y**2 - 11468 - 2*y**2 - 11443 + 22911.\nAnswer: 29*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - -6 - (-4 - -4). Differentiate 71 - 121*i**3 - 29*i**t - 205 + 15*i**3 with respect to i.\nAnswer: -405*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*t**2 - 8*t**2 + 25*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*x - 3*x + 3*x)*(12 + 9 - 28)*(3 - 3 + 2*x) as v + c*x + d*x**2 and give d.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -15*o - 1. Let d(h) = h**3 + 5*h**2 - h + 7. Calculate the remainder when i(-3) is divided by d(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u**2 - 44175*u + 3198130 = 0. What is u?\nAnswer: 73, 8762","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, b: 1}. What is prob of sequence bkk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-41\/5)*t)\/(t**27\/t)*t**(-17)\/(t\/(t*t*t**(-3)*t*t)) assuming t is positive.\nAnswer: t**(-246\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - p**2 + 0)*(3*p + 3*p - 5*p)*(10 + 0 - 2).\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567)\/sqrt(81))\/(-6*sqrt(144))*1.\nAnswer: -sqrt(7)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -258*y**7\/7 + 14*y**3\/3 - 2*y**2 - 900. Find the third derivative of b(m) wrt m.\nAnswer: -30960*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 30*c**2 - 6509*c - 199. What is o(217)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -577*i + 179434. Calculate v(311).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24.345 - 24.645. Put -7, t, 3, 0.039 in ascending order.\nAnswer: -7, t, 0.039, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 12 - 1 - 169*s - 1947*s to the form k + w*s and give w.\nAnswer: -2116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-66)\/(-110))\/((-1)\/(-5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 6*r**2 - 7*r - 5. Let d(k) = k - 12. Let p be d(8). Calculate a(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -k**8\/2184 - k**7\/1365 + k**6\/156 - k**5\/130 + 339*k**2 - 2. Suppose m(y) = 0. What is y?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/370 and 1\/((-6660)\/4074) + (-18)\/(-45).\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -9852\/317291?\nAnswer: -9852\/317291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118 - 752*t**2 - 112 + 228.\nAnswer: -752*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/2)\/y**2)\/(((y*(y\/y**(-2\/5))\/y*y)\/y)\/y)**(-16))\/(((y**0\/y)\/y)**6)**(4\/5) assuming y is positive.\nAnswer: y**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.42122 - -40.44702. Let q = 37.088 + -0.088. Let n = l - q. What is n rounded to 3 dps?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + 0.3. Let h be 6 + (-50)\/(-20)*24\/10. Which is the closest to h? (a) -4 (b) -0.1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -5, -953443 in decreasing order.\nAnswer: 11, -5, -953443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*p + 36 = 51*p. Let o be ((-6)\/15)\/((-3)\/(-15)) - -6. Calculate the highest common factor of p and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*a + 2*c, 22 - 5 = 2*a - 5*c. Let o(r) = -6*r - 11. Let k be o(-2). Solve -t + k = -a, l + 4*t - 11 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (96 + 95 - 213)*(-4*k**2 - 4*k**2 + 2*k**2)*(7 - 5 - 22) to g + u*k + p*k**2 and give p.\nAnswer: -2640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10584 + -10690.54. Round a to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3654, 14694, 33130, 58962, 92190?\n\"Answer: 3698*i**2 - 54*i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 5*n**2 - 5*n + 4. Let t be v(-6). Let d be t + -166*3\/(-6). Let b be (6\/4)\/((-1)\/(-6)). Calculate the greatest common divisor of d and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/11, 0.05195, -10, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5552 + -5546. Solve 0 = -k*d + 338 - 362 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2860556348 to the nearest integer?\nAnswer: 53484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -3*w + 5*f, 0 = -0*f - 2*f - 4. Let c be -4 + 7 - ((-82)\/(-2) + 1). Let u = w - c. Calculate the highest common divisor of u and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, l: 1, n: 3, b: 3, e: 4, i: 5}. Give prob of picking 1 i and 1 m.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 564.7552 centuries in decades?\nAnswer: 5647.552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 669 and 26983.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 87 - 84. Suppose 5*z - 4665 = k, -17*z = -14*z + h*k - 2817. List the prime factors of z.\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 3:44 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 5*p + 752 + 858, -5*p = -2*j + 3205. List the prime factors of j.\nAnswer: 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 70.618 + -1.318. Let y = 219 + -150. Let l = y - g. Which is the second smallest value? (a) -3 (b) -1.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20100000 rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.721506592 rounded to two dps?\nAnswer: 19.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84093?\nAnswer: 3, 28031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -1\/48*v**4 + 0 - 4*v**2 - 1\/60*v**5 - 1\/240*v**6 + 0*v**3 + 0*v. Factor c(a).\nAnswer: -a*(a + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 at most -661?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/2205 and 151\/588.\nAnswer: 8820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2615*b**3*y - 58*b**3 - 2*b wrt y?\nAnswer: 2615*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -320 - 4251.\nAnswer: -4571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*j - 0*c - 71, -4*j + 3*c = -106. Let w = -29 + j. Sort w, -0.3, 0.5 in decreasing order.\nAnswer: 0.5, -0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 8:00 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*d - 230 = -32*d + 33*d for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 451 (base 9) to base 5\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 846 and 6242211?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a*b**4 - 989*a*b**2 - 5*a*b - 38113*a - 232*b**4 wrt b.\nAnswer: 24*a*b**2 - 1978*a - 2784*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 86\/5 (b) -1\/30 (c) 0 (d) -17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7086839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 2) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/168*7)\/(2\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -1356eba?\nAnswer: 1356eb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {z: 3, r: 5, g: 2, p: 3}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 26*x**3 + 11*x**2 + 11. Let b(v) = -5*v**3 - 2*v**2 - 2. Calculate -11*b(j) - 2*w(j).\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bjbbbbbbbbbbbjbbbbjb. What is prob of sequence bjb?\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*r + 87*r = 116 + 1678 for r.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -39 and 473.\nAnswer: -18447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4\/3)*h**4*h**0\/h**(-5\/6))\/((h*h**0*h)\/h**1)**(-14) assuming h is positive.\nAnswer: h**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1403710 to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 15*p**2 - 2*p + 13. Let l be a(13). What is the highest common factor of l and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 453, 3, -3, -2 in decreasing order.\nAnswer: 453, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -7*u - 9. What are the prime factors of n(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 21 = -2*s. Suppose 0 = -z - 0 + s. Suppose -4*i - z = -211. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21202960459638 - -320455925602447088437\/15113735. Let g = -1\/26845 - x. Let i = 10637\/5630 - g. Calculate the common denominator of 17\/28 and i.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10 - (-1 + (-6)\/(-1)). Suppose 53 + 2 = -v*s. Which is bigger: s or -13?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108 = 172*v - 190*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7732 is divided by 480?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -525\/34, 0.006, -8?\nAnswer: -525\/34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-18) - (-8)\/36. Suppose k = -2*j - 4*t - 94, -2*j - 2*t + 0*t - 92 = 0. What is j rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 369 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 76977.009 + -77012. Let g = l - 0.009. Let x = g - -35.2. What is the closest to -7 in x, -5, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 25 = 0, -3*v = -v - i - 5. Suppose -4 + 3 = b. Let t be 3\/b*(1 - 2). Solve -2*a = -v*f + 3*f - 3, 2*f + 3 = -t*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3565332 and 194.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1008) + 1 - sqrt(1008)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 125 and -0.20071?\nAnswer: -25.08875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1339, -3992, -8025, -13444, -20255, -28464, -38077, -49100?\n\"Answer: -c**3 - 684*c**2 - 594*c - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((106\/(-6))\/(-1))\/(295\/((-363735)\/(-411))).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352234.\nAnswer: 2, 29, 6073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -3.5. Let n = u - 0.1. Let y be ((-14)\/(-15) - 1)*-6. Is y < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*d = 2*d - 133 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 11*k + 5. Calculate m(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 398777 - 398777 + 4*y**3.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 1572?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -2*u**2 - 11*u - 9. Let x be j(-7). Let l(z) = -z - 10*z + x*z. Let t(b) = -2*b. Give l(t(n)).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.61978g in tonnes?\nAnswer: 0.00001361978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (0 + 4932\/44). Let m = d + 111. Which is the smallest value? (a) -0.2 (b) m (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4d00 + 3e?\nAnswer: -4cc2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 + 2*k**4 + 3*k**3 - 10*k**2 + 44 - k - 11*k - 44.\nAnswer: 2*k*(k - 2)*(k + 1)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(3\/4))\/w**(-6\/7))\/(w**3)**(4\/43))**(-1\/9) assuming w is positive.\nAnswer: w**(-2803\/10836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 z when four letters picked without replacement from {j: 3, z: 3, c: 3, e: 2, w: 3, r: 1}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of 29*w**5\/60 + 41*w**4\/24 - 3*w**2 + 10. What is the second derivative of m(r) wrt r?\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 83 - 52. What is the first derivative of -48*t - 47*t + 100*t - b wrt t?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 a factor of 518266659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.4, 6, -0.5, -11, 1\/7 in descending order.\nAnswer: 6, 1.4, 1\/7, -0.5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2774842104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - -1. Suppose -d - d - 4*h + k = 0, -d - 5*h + 2 = 0. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 80. What is the common denominator of 505\/x + 2\/2 and ((-2)\/33)\/(4\/93)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/11 and (4\/(-14))\/((-297)\/(-126))*12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -72 - 10946?\nAnswer: -109b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 66\/116 + (-25)\/50*(-24)\/(-174). Factor -8281\/2 + 91*t - a*t**2.\nAnswer: -(t - 91)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -3. Solve -2*k + 8 = -2*z, k + l*z + 8 = -0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -14*w**2. Let y(i) = 33*i**2. What is y(c(m))?\nAnswer: 6468*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ocoo. What is prob of sequence oc?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 3*x**4 - 5*x**3\/3 + x**2 + 281. What is the smallest common multiple of 498 and q(1)?\nAnswer: 1494","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 1088.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -1. Let f(c) = c - 62. Let k(d) = -3*a(d) - f(d). Let g be k(-25). Calculate the highest common divisor of g and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7159, -10265, -13361, -16441, -19499?\nAnswer: -22529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + g - 65 = -5*i, 2*i + 4*g = 14. Suppose 0 = -3*k + i - 14. Let h be 95\/(-350) + (-1 - 22\/(-14)). Is k at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -8138*n + 4988*n = -4099*n - 43654 for n.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 5:21 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, m: 1, w: 1, n: 2, c: 2, e: 1}. What is prob of sequence me?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 12*y + 760. Let v(m) = -25*m - 1. Let s(w) = o(w) + 3*v(w). What is s(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189\/25 < 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(-298*t + 644*t - 587*t) + 2*t + 2 - 2.\nAnswer: -239*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/19 - ((-196)\/(-48))\/(855\/36).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 69*k - 3. Does 11 divide i(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = k - 35. What is the smallest common multiple of 33 and k?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*n - 28. Suppose 2*l - 36 + n = 0. Calculate the remainder when 26 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -41 + 20 - 3*n + 24 + 17. What is z(9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 550*b + 1678 = 32*b - 21270 - 10722 for b.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363)\/(4*sqrt(22)\/sqrt(2)))\/(sqrt(44)\/(sqrt(36)\/sqrt(36))).\nAnswer: sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqwqqsqqwsq. What is prob of sequence qq?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14366?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 85*t - 365. Let u be r(9). Calculate the highest common factor of u and 2500.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-15 - -2 - (-17 + -13))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(10\/7)*m**(1\/2))\/(m**16*m**(-1\/17)) assuming m is positive.\nAnswer: m**(-3335\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 + 68 + 6)*(-2*x + 2*x + 3*x)*(-x + 0*x - x) in the form n*x + w + z*x**2 and give z.\nAnswer: -366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bkzd when four letters picked without replacement from {k: 5, z: 2, b: 4, d: 2}?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 103016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 342791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38480.91cm to meters.\nAnswer: 384.8091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 384 + 298 = 100*f + 182 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -167803 greater than or equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 5*s + 24*s - 554560. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 (base 11) in base 5?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = 3*f + 26. Let g = 11 - 6. What is the remainder when f is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o + 6. Let v be c(-3). Let k be v - (9 - 4)\/(-5). Suppose -4*b = -5*w - 6*b + 481, 3*w + k*b - 297 = 0. What are the prime factors of w?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 + 45124*z + 62119920.\nAnswer: 4*(z + 1605)*(z + 9676)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.39 - -27.39. Let u = h - 26.7. Let y be (-16)\/(-252) + 4\/(-14). Which is the second biggest value? (a) u (b) y (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (10 + 32\/(-3))*(-3591)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -0 - 2. Let y(h) = -h**r + 4 - 4. Let v(w) = 5*w**2. Calculate y(v(u)).\nAnswer: -25*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -5*b**2. Let o be 132\/21 - 2\/7. Suppose p = -p + o. Let w(d) = 5*d + 3*d - p*d - 3*d. What is i(w(a))?\nAnswer: -20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -507 divided by -7\nAnswer: 507\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 25900?\nAnswer: 25900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 12:55 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/8 + (1 - -9) - 8)*128. Solve -82*z - 18 = -c*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 10 = u. Let i = u - 3. Let j be (-15)\/6 - 0\/2. Which is the second smallest value? (a) j (b) i (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -129, 10, -6324.\nAnswer: -6324, -129, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 6*b + 4. Let y be x(-5). Let p = y - -100. Suppose 5*g = 4*k + 4*g - 305, 0 = k + 2*g - p. List the prime factors of k.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, q: 1, m: 4, p: 9, f: 4}. Give prob of sequence mm.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1251 + 26?\nAnswer: -1224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2902?\nAnswer: 2, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5\/3 - -7\/4. Let m(u) be the second derivative of y*u**3 + 0*u**2 + u + 0 + 1\/24*u**4. Solve m(c) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -26\/15*z**5 + 43\/6*z**3 - 7*z + 1\/120*z**6 + 0 + 13*z**2 + 0*z**4. Differentiate m(u) with respect to u.\nAnswer: 3*u**2 - 208*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 <= 15154151\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5897642778?\nAnswer: 2, 3, 8807, 12401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2823971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5 - 1) + -1)*(-7)\/14.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.5 + -20. What is n rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -349925\/4 + 84397. Let d = s + 2990. Does d = -93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a century in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17836304.\nAnswer: 2, 79, 103, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47422, -47438, -47454?\nAnswer: -47470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 9:15 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5098.629g?\nAnswer: 5098629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/10*(-5)\/(-2). Suppose h*n = 6*n - 4*m + 20, 15 = n + 3*m. Solve q + n = 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 7*q - 7. Let m be l(-5). Let g = m + 14. Is 17 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 11312033221?\nAnswer: 11312033223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 922 - 473. Put -2, 4, k in increasing order.\nAnswer: -2, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/3 + 1\/(-6))*-2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/3 - 55*q**3\/3 - q**2\/3 + 55*q\/3.\nAnswer: q*(q - 55)*(q - 1)*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 4)\/((-2)\/4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 6*c**2 + c + 6. Let r be s(-6). Solve r = -3*d + 11 + 4 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + -1)*(-5 - -2). Let r(s) be the third derivative of s**5\/60 - s**4\/12 + 10*s**2. Let m be r(t). Solve -m = n + 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 6*d + 8 = 0. Let f = 12 + d. Is 10\/f*28\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-174*h + 174*h - 24*h**2)*(4*h - 2*h - h) + (3*h - 2*h - 3*h)*(2*h**2 + 0*h + 0*h).\nAnswer: -28*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1ab5 (base 15) in base 3?\nAnswer: 21221122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26007?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of l**8\/1680 - l**6\/180 + l**4\/24 - 2*l**3\/3 - 1. Let h(f) be the third derivative of x(f). What is k in h(k) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 - n + 2507*n**3 + 14 - 2557*n**3 to the form z*n**3 + s*n**2 + d + b*n and give z.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 913 + 1?\nAnswer: 914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*d + 26 = 0. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4538068 - -4538090.600556. Let x = i - 22.6. Round x to 5 decimal places.\nAnswer: 0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*p - 791 = 1953. What is the highest common divisor of 14 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -69466, -138924, -208382, -277840?\n\"Answer: -69458*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*s - 2*s = -177. Factor -1\/4*v + 1\/4*v**s - 1\/4*v**2 + 1\/4.\nAnswer: (v - 1)**2*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2, 2\/3, -0.2, -0.23?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 11. Suppose 5*a + 2*m = 36, -2*a + 3*a = -x*m + 18. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*u + 467548 - 89716. Find the common denominator of u\/19110 + 4\/26 and -5\/63.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 9:30 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**21)**(6\/5))**43)**(2\/133))**45 assuming a is positive.\nAnswer: a**(13932\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*u - 983 = -767 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 0.225\nAnswer: 0.0225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 + 11100110101101000110?\nAnswer: 11100110101101001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus 33260?\nAnswer: 33259.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d. Let f(n) = 11*n**2 + 33. Determine h(f(s)).\nAnswer: 11*s**2 + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27 by 2569835.\nAnswer: 27\/2569835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 0, 2, 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -253.3494 - -124.674.\nAnswer: -128.6754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 249 and 196520760.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 969166 is divided by 26913.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (15 - 9) - (-10 - (-1 + 1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 22812.154.\nAnswer: 114060.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 704672 divided by -722.\nAnswer: -976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 23 divided by 110\nAnswer: 23\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5\/4, 0.3, -0.1, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 8 = 2*m + v, 4*v = 5*m - 35 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of j**8\/20160 - j**4\/2 + 13*j**2. Let x(a) be the second derivative of d(a). Find z, given that x(z) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 32 + 13 = 3*d, -d + 4*x = 2. Let w be (-4)\/d + (-162)\/(-30). Find the third derivative of 2*g**2 + 5*g - w*g - g**6 wrt g.\nAnswer: -120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 378 divide 3072762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 1. Let d(s) = 5 - 4 + 3 + 2*s - s. Let l(b) = 2*d(b) - 11*x(b). Let i be l(3). Solve -4*q + 5*j - 25 = q, 5*q + i*j + 1 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1148433193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 20\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (3 - 7) - 7 - -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.050866461 rounded to 4 dps?\nAnswer: -0.0509","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11456 and 632?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.011 + 1.911. What is the nearest to -0.1 in 3, -0.2, t, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -1655984.\nAnswer: -1655984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 25 - 21 + 8*b - 2*b. Determine m(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000005749359 rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 13*m - 2. Let p be u(-13). Which is the fourth biggest value? (a) 0.5 (b) -5 (c) -1 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-150)\/(-240))\/(4\/32)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 3*t - 3. Let f be k(-2). Let m = -114 - -233. Calculate the highest common factor of m and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1015?\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - 0 - (-58 + 5 + 53).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -8*l. Let o(q) = -q. Let z(m) = 7*m. Let g(a) = 10*o(a) + 2*z(a). What is g(r(j))?\nAnswer: -32*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1 + 2*sqrt(117) + 5)**2 + 1*(-6*sqrt(52)\/sqrt(4) + 4)**2.\nAnswer: 24*sqrt(13) + 993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**3*q + 19*k**3 + 13*k**2 + 2*k*q - 2*k + 76 wrt k.\nAnswer: -12*k*q + 114*k + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (15471\/15)\/9 - 2\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9934.12 - 9943. What is u rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 6*g + 1. What is p(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 0*m = 1018 - 1024 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 14) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m + 3*m + 8597*m**2 + 18244*m**2.\nAnswer: 26841*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -2. Let a(y) = m*y - 2*y - 7*y + 6*y**2 + y**3 - 1 - 3. List the prime factors of a(-7).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**2 - 5*c + 7. Let v be i(-3). Suppose -h - 2*y - y + 123 = 0, 0 = -v*y + 4. What is the remainder when h is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - 10 - 357\/(-68). Do -39 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-26)\/1 - (2 + 2). Let x be (-2)\/(-10) + (-174)\/n. Solve -x*o = -5*o + 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1453005 + 3?\nAnswer: -1453002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*b**2 + 30*b**2 + 20*b**2.\nAnswer: 123*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1050, 4189, 9420, 16743, 26158, 37665, 51264?\n\"Answer: 1046*r**2 + r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 o when two letters picked without replacement from odo.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2193, -2194, -2195, -2196?\nAnswer: -2197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 892 is divided by 864?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 143 - 141. Let x(p) = -3*p. Determine x(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {r: 3, p: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 0, n + 72 = 4*c + 280. Round n to the nearest ten.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f**2 - 12*f - 7. Let k(l) = -l**2 + l + 7. Let b be k(4). Let a(x) = -2*x**2 - 8*x - 5. Let o(h) = b*j(h) + 7*a(h). What is o(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 0) + 6 + 1 + 4 + -35 + 40?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20.5 - 27. Let u = q + 9. Round u to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9e1 + -16?\nAnswer: -a07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12310562 less than -182?\nAnswer: -12310744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a micrometer in nanometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19114 divided by 1355.\nAnswer: -19114\/1355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 831305156 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1958062?\nAnswer: 2, 979031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.978 times -3\nAnswer: -2.934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12620 = -170*n + 165*n. What is the thousands digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -11*n + 162. Let k be b(-22). Let v(g) = 0*g + 10*g - k + 407. Let i(m) = 5*m + 1. Determine 7*i(u) - 3*v(u).\nAnswer: 5*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 5*m - 2. Let y be (-1 - -2)*(-6)\/(-2). Let r(x) = -x**2 - 12*x + 9. What is the remainder when r(-9) is divided by v(y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -360*j**2 + 12*j + 13. Let w be t(-10). Let h = w - -21007. What is h rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -19*g**2. Let x(j) = 9776*j + 658. Let h(w) = -178*w - 12. Let y(t) = -329*h(t) - 6*x(t). What is y(u(v))?\nAnswer: 1786*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 3*v + 1047 + 712, -3*c - 3*v + 1335 = 0. What is the remainder when c is divided by 49?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -115888*s**4 + 21*s**3 - 869601?\nAnswer: -463552*s**3 + 63*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.94 + -0.06. Let o = -38.8 - -38. What is the biggest value in o, -3, j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*d**5 - 11407*d**4 + 3*d**2 + 582001*d wrt d.\nAnswer: -1500*d**2 - 273768*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is f0 (base 16) in base 9?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 356*b - 80. Let g be s(3). What is the highest common divisor of 104 and g?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 150\/7 - 1613\/56. Find the common denominator of l and (((-26)\/((-1378)\/(-371)))\/((-2)\/26))\/(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*t - 240*t + 3512716 = 0. What is the ten thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -0.171, 3, 714?\nAnswer: -0.171","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 97*m**2 + 2*m - 15. Let z be ((-2)\/(-45))\/((-8)\/80)*-9. What is the tens digit of y(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212 - 172 = 20*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*y - 135 = -17*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 1039*d**2 + 58*d + 574. What are the prime factors of v(-8)?\nAnswer: 2, 3, 17, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -4. Let z = 830 - 594.8. Let b = z - 235. What is the closest to b in k, 1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 238 + 85. Is r a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v - 2*v - v + (v - v - 2*v)*(-4 - 9 + 3) - 4*v + 2*v - 4*v as r*v + g and give r.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -4*u - 5. Let z be ((-4)\/3)\/((-5)\/(-3))*5. Let y be k(z). What is the second derivative of y*h + 15*h - 25*h + 14*h**2 wrt h?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-1*sqrt(171))\/sqrt(3))\/(sqrt(363) - -3*(sqrt(363) - sqrt(363)*1)).\nAnswer: -5*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * 32\nAnswer: -0.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43969847.\nAnswer: 1861, 23627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*s**5 - 5160*s**4 - 2*s**3 + 71084*s?\nAnswer: -220*s**3 - 61920*s**2 - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001000111111100 (base 2) in base 9?\nAnswer: 56234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n + 83. Calculate k(-22).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 741 = -3*s, 2*m = 3*s - s - 370. Let q = m + 437. List the prime factors of q.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-200)\/(-6))\/(1\/(-12)). Let s be (3\/(-4))\/((-10)\/f). Let t = -14 - s. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 17*u**6\/3 + 11*u**3\/3 + 19. Find the third derivative of k(i) wrt i.\nAnswer: 2040*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 22*r - 12. Let u be m(22). Let l be (-20)\/u - 8\/(-6). Solve k + l = -0*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1141786*c**3 - 20*c**2 - 368*c + 6949?\nAnswer: 6850716*c - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -1\/20*j**5 + j + 5\/6*j**3 - 1\/2*j**2 + 1\/4*j**4 + 0. What is t(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -349.01 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5812 = -4*v, -2*b + 1795 = 3*v - 2564. What are the prime factors of v?\nAnswer: 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/500 and 4\/64 - 8365\/18000?\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 37, 84, 171, 304, 489, 732?\n\"Answer: q**3 + 14*q**2 - 2*q + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -0*g - g. Let u be (-9)\/g*-5 - (-17)\/(-11). Factor 6\/11*o**3 + 14\/11*o - u*o**2 - 4\/11.\nAnswer: 2*(o - 1)**2*(3*o - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1164957, -107, -3 in decreasing order.\nAnswer: -3, -107, -1164957","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/14*(48\/(-20))\/(-6).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4691280 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 797939 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 + -719742.\nAnswer: -719750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(11)*1)**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 divided by 5562?\nAnswer: -7\/927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (64\/(-28) + (8 - 6))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 6*v**2 + 0*v - 8*v**2)*(-14*v**2 - 4*v + 4*v).\nAnswer: 28*v**4 + 14*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*p - 43*p - 54*p - 42*p + 176*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-13)\/(-78)*3324 - (0 - 7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -636460\/9?\nAnswer: -636460\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 288*g**2*y**4 - 2*g**2*y + 24*y wrt y?\nAnswer: 3456*g**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 3*r + 157 = 0, 5*r - 78 = y - 115. Solve -4 = 6*c + y for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 24 = -3*x, -5*t - 28 + 9 = 2*x. Suppose -3*g = -x*u + 6, -u - 4*g = 6 + 2. Sort 3, 4, u in decreasing order.\nAnswer: 4, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4478?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - 10 - -8 - 3 - 32.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**2 - 24*z**2 + 14*z**2.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 25 - 23 = 0. Suppose 5*r - 3*b = 10, 5*b + 6 - l = -5*r. Suppose 0 = -0*m + r*m + 6. What is the second smallest value in 5, 0.7, m?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.261*8.\nAnswer: -2.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -145.9 + 141. Let y = u - -6.87. Round y to one dp.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 - -54. Let t = 12 - j. Which is the closest to 0? (a) -5 (b) t (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**5 + 12*d**4 + 4*d**3 - 12*d**2 - 8*d = 0. Calculate d.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 3:29 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1, -3, 5, 13 in descending order.\nAnswer: 13, 8, 5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1835278?\nAnswer: 2, 211, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*j + 11961, 4*j + 4*o + 14451 = 38359. Does 122 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 508 is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0373 and 0.8?\nAnswer: 0.7627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178 - 410 = -30*j + 728 for j.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.734 - -639.734. Let w = v - 634. Which is the closest to 9? (a) -0.1 (b) w (c) 3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.2402 - -83.2302. Let g = -83 + q. Let v = g + 0.01. What is the nearest to v in 3, -2\/11, 1\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 86.98 + 2.02. Let r = n + -67. Let q = -20.88 + r. What is q rounded to 1 decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, b: 4, g: 4, k: 1}. What is prob of sequence ggb?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*m + 483*m + 168*m - 15399 = 0 for m.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8835164, -8835190, -8835218, -8835248, -8835280, -8835314?\nAnswer: -8835350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2\/5, 3\/7, -0.5, 67 in increasing order.\nAnswer: -0.5, 0, 2\/5, 3\/7, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2935*s - 1223*s - 1257*s - 1187*s. Let h(r) = -r**2. Calculate h(t(l)).\nAnswer: -535824*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105\/806324 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(50\/96)*-10. Let i be (-2)\/8*s\/(-8). Solve -2*x = 8, i*x + 15 = -k + 2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 165596 and 3808708.\nAnswer: 3808708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5133\/2 - 2568. What is the fourth biggest value in 4, 7, 4\/5, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n\/(n\/(n*((n**33\/n)\/n)\/n)))*n**(-22)*n**36*n**(2\/19)\/n assuming n is positive.\nAnswer: n**(-321\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1141560 by -142695.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1122 - 1122.5. Suppose -6*g + 2*d + 6 = -4*g, -12 = g + 4*d. Which is the nearest to g? (a) 5 (b) -0.6 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, g: 2, v: 9}. Give prob of sequence vgig.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (69 - 69 + 13*b)*(10*b**3 - 4*b**3 + b**3) to the form g*b**3 + h*b**2 + o*b + p + x*b**4 and give x.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52672 (base 15) to base 5.\nAnswer: 31330312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2 + 50*v + 16. Determine d(-25).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 720 - 720. Let a(m) be the first derivative of g*m**3 + 1\/4*m**4 + 0*m**2 - 3*m - 7. What is the first derivative of a(f) wrt f?\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5*w = 7 + 2, -s = 5*w - 3. Is s equal to 14\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25613 is divided by 25606?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 45 = 0, 29*i + 552 = -6*c + 65*i for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 4*z**2 + 2*z + 1. Let y be u(-2). Which is the nearest to 1\/3? (a) -5 (b) -0.4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, 123, 407, 793, 1275, 1847?\nAnswer: 2503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*h + 525 = -80*h for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - 1. Let l(a) = a**2 + 3*a - 3. Let n(k) = -4*k - 10. Let w(f) = f + 2. Let o = 78 + -84. Let c(x) = o*n(x) - 28*w(x). Calculate h*c(m) - 4*l(m).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -755213*w**3 - 755367*w**3 + 1510274*w**3.\nAnswer: -306*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 45777383833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -4*z - x, 2*z - 7*z + 87 = -3*x. Solve 5*y + 0*y = z for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 131058, 264878, 398698, 532518, 666338?\n\"Answer: 133820*t - 2762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 + 4*n**2 - n**2)*(3*n**3 + 0*n**3 - 6*n**3).\nAnswer: -9*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1918 + -1900. Solve -p = 5*x - 21, -2*x + r = 4*p + 6 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 1 - 1 + 11*k. Let i(v) be the second derivative of 5*v**4\/12 + 5081*v. What is f(i(b))?\nAnswer: 55*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((1 - 0) + -5)\/(-1). Suppose 3*m = t*m - 3. Suppose m*b = -b. Are -2\/13 and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i - 6. Let s be v(7). Is 5\/4 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 949947.9l?\nAnswer: 949947900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 5*w - 26 + 4, w = 0. Let l(j) be the first derivative of j**3\/3 + 5*j**2 + 13*j + 1. Calculate the remainder when l(x) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (20\/(-5) - 0) + 51?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, s: 1, j: 1}. What is prob of picking 1 j and 1 s?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -32*x**3 - 60*x**2 - 24*x + 4 = 0.\nAnswer: -1, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23830795?\nAnswer: 5, 71, 67129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**0\/p)**(3\/19)\/((p\/(p\/p**(-1\/6)))\/((p\/(p**(3\/4)*p))\/p)))\/(p**(-3\/4)*p*p**(2\/17))**(-36) assuming p is positive.\nAnswer: p**(44551\/3876)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j - 6. Let l(q) = 2*q**2 - 10*q + 4. Let x be l(4). Let y(p) = 5. Calculate x*y(u) - 3*s(u).\nAnswer: -3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 + 2*u**2 + u**2)*(-336*u - 24*u - 146*u - 91*u).\nAnswer: -597*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11171851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1881151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g + f - 20, 84*f - 16 = 80*f for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 420cbc (base 13) to base 6.\nAnswer: 53034205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7 times 0.09?\nAnswer: 0.153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 179.586 rounded to 0 dps?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-5 + 5) - 8 - ((1 - -34) + -10)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(133))\/sqrt(7) - (-1 + sqrt(684))) + 4 + sqrt(228)\/(sqrt(12) + sqrt(12)*4) + 1.\nAnswer: -39*sqrt(19)\/5 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -17*a + 84*a**2 + 42*a**2 - 22*a - 30*a**2. Let d(h) = -5*h**2 + 2*h. Let x(m) = -117*d(m) - 6*q(m). Is 6 a factor of x(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 + 10 = -12*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2961.531 years in months?\nAnswer: 35538.372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 3 + -2 - (26 - (11 + 58))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12222200 (base 3) in base 8?\nAnswer: 10415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 + 55?\nAnswer: 5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 12:44 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 44579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12150? (a) 1\/4 (b) 2\/5 (c) -0.3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 5:38 PM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -85 + 107. Is 3 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - -4 - -3 - (34 + -41)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13625 is divided by 77.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 1. Let w be u(-1). Suppose w*g + g = -3*k + 160, -4*k + 214 = g. Let x = k - 14. What is the highest common factor of x and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + (-11 - (7 + -142)) + -23.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 173423193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (71 + -2)*(-18)\/27. Let i = l - -92. What are the prime factors of i?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61591272 divided by 2.\nAnswer: -30795636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/21)\/(1\/3). Let l = 502.22 + -498.22. Which is the nearest to l? (a) 2\/21 (b) 0.5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**7\/(g**(-5\/3)*g))\/((g*(g\/((g\/g**(-10\/13))\/g)*g)\/g)\/((g*g\/(g**7\/g))\/g)) assuming g is positive.\nAnswer: g**(56\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 662*v**2 + 5*v**2 + 325*v**2 - 4*v + 382*v**2.\nAnswer: 1374*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-40)\/20 - (6\/2 + 4807*-1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 + 77. Is 5 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 m when two letters picked without replacement from kiylimmwlymymyy?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3906 - 3904. Solve -p - w*p = -4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 40 = -3*p. Suppose -44 = -9*b + p. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13071665200 to the nearest 1000000.\nAnswer: 13072000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((63\/(-42))\/(6\/(-56)))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 79083234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 39 = -3*j, -j + 1670*y - 33 = 1665*y for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 42\/8 + (-1)\/4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/3 - 8020*k\/3 + 2155504.\nAnswer: 2*(k - 2892)*(k - 1118)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5.35154 centuries?\nAnswer: 53.5154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12190 and 6302?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 12:11 AM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -16, -18, 20434.\nAnswer: -18, -16, 3, 20434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3 + (1*((sqrt(84)*-3 - sqrt(84)) + sqrt(84) + sqrt(84) + sqrt(84) + sqrt(84)))\/(sqrt(175)*-1*-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 3 = g, -12473 + 12470 = -4*i - g for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*b + 0*b - 5*b)*(-3*b + 2*b + 2*b) + 2 + 65*b**2 - 162*b**2 + 81*b**2 to the form n*b**2 + f*b + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-640)\/(-192)*(1\/2 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 1:32 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 179421 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + l + 2*y = 0, 13 = -3*l + 5*y for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -3. Let s = z + 7. Let q be ((-8)\/(-4)*5)\/(-2). Put q, s, 3 in ascending order.\nAnswer: q, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/11*m - 8\/11 + 2\/11*m**2.\nAnswer: 2*(m - 4)*(m + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 7*w**2 + 8. Let h be a(7). Let f be h\/48 - 53\/(-6). Solve 4*v - v = f for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 950950489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f*f\/(f*f*(f*f**(2\/25))\/f)*f))\/f*f\/(f\/(f\/(f*(f*f**44*f)\/f*f)*f))*(f**(13\/6)\/f*f)**44 assuming f is positive.\nAnswer: f**(3631\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 187*z. Let d be l(1). Let s = d - 889\/5. What is the common denominator of s and -48\/7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -a**8\/1176 - a**7\/735 + a**6\/420 + a**5\/210 - 220*a**2 + 2*a. Determine h, given that w(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 1:59 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 + -8 + 1\/(-1). Let f = -17 - v. Let i(q) = -3*q - 2*q**2 + 2*q - q**3 - 4 - 2*q**2. Give i(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 15174, -34, -1, 4 in descending order.\nAnswer: 15174, 4, 2, 1, -1, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2073?\nAnswer: 3, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*o + 73*o - 756 = 28*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 4*x - 1. Let l be d(-7). Let s be (29 + 4 + -3)*1. Let b = s + l. Calculate the remainder when 13 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 133.3.\nAnswer: 266.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - b080?\nAnswer: -b082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -141, -163, -185, -207?\nAnswer: -229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 - 217 = -5*m. Suppose -3*o + m = o. Is 17 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*c**2*j**2*x - 1675*c**2*j*x + 2*c**2*j + 2*c**2 - 563*c*j**2*x + 2*c*j*x - c*x - 290*c + 5*j**2*x wrt j?\nAnswer: -38*c**2*x - 1126*c*x + 10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31245 is divided by 786.\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 198\/14 - 506\/(-322)*1\/(-11). Solve 2*d = y*d + 96 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -390 - -283. Sort -5, 0, x in ascending order.\nAnswer: x, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1059, -5061, -12017, -21927, -34791, -50609, -69381?\n\"Answer: -1477*f**2 + 429*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 40489370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9\/10 of a century?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1*6\/18)\/((-1)\/(-2))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 13, -10, -65, -164, -319?\nAnswer: -542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 7:38 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -31519 and -111.67.\nAnswer: -31630.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k**2 - 23*k - 28. What is the remainder when q(-5) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 604863?\nAnswer: 3, 7, 9601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 10*s**2 - 17*s - 17. Let g be y(-9). Let t = -51 + g. Let p be (6\/(-14))\/((-20)\/(-70)). Which is the nearest to t? (a) -1\/6 (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-16) + (-3222)\/(-48). Let j = 58 - c. Let g(s) = -5*s**2 - 3. Let p(b) = -b**2 - 1. Give j*p(x) + 2*g(x).\nAnswer: -x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 695, 1, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -22213 (base 4) to base 9\nAnswer: -834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9123 is divided by 730?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -3\/9639734?\nAnswer: -3\/9639734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 92 + -87. Solve 2*f + 23 = 5*u + 9, o*f - 5*u + 20 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92123 is divided by 118?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4250)\/1250 - (4 + -3 - 5\/1). Factor -3\/5*u**3 + 12\/5 - 12\/5*u**2 + p*u.\nAnswer: -3*(u - 1)*(u + 1)*(u + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 divided by 13878\nAnswer: -35\/13878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9134 and 8.\nAnswer: 36536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-1*4\/20). Let l be (21\/14)\/(2\/(-12)). Let f be 3*(-3)\/l + 3. Solve j*i - f*g + 26 = 0, 4*i = 4*g - 4 - 20 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -i + 7*y, -5*i - 2*y = -6 + 31 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 113\/3 (b) 0.3 (c) -2\/59 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -21*p**3 - 1. Determine i(1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*g = -46998, 0 = a - 4*a - 5*g - 140993. Let i be (-56)\/140 + a\/10. Round i to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 44 + -39. Solve -2*w - 5 = n for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xrujmkku. What is prob of sequence xj?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -424561 (base 9) to base 5\nAnswer: -31041234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 174313 (b) -0.2 (c) 1\/5 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 141 - 105. Calculate the smallest common multiple of i and 54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/7)\/(a\/(a**(-5)\/a)))\/(a**1)**47 assuming a is positive.\nAnswer: a**(-379\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1155967 - 675453. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35589331 - -39\nAnswer: 35589370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**4 - 23572*a**3 + 165140*a**2 - 353964*a + 212400 = 0. What is a?\nAnswer: -5900, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11544585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 248 - 449. Let t be r\/(-3) - (2 - -2). What is the units digit of (4\/(-7))\/((-9)\/t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 28 = 5*u. Let c(w) = 7*w**2 + 2928 - 2928 + u*w. Let l(h) = h**2. Give l(c(n)).\nAnswer: 49*n**4 + 28*n**3 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -20, -10 - 27 = -5*o - 3*j. Suppose 5*n = -l + o, 4*n - 3*l - 33 = 2*l. Solve n*y = 7*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 16073 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -189*q**4 + 395*q**4 - 4*q - 213*q**4 - 7*q - 26*q**3 in the form h*q**3 + y*q**2 + w + k*q + j*q**4 and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*u + 279072 = 3878*u for u.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*1\/9*-9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 98\/147*(-9)\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1909, -1910, -1911?\nAnswer: -1912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4 = -0. Suppose x + r*x = 156. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 7:29 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 4 = -8*f + 4*n, -5*n - 1 = f. Sort f, 7, -0.4 in descending order.\nAnswer: 7, f, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 - 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.833 and 0.5.\nAnswer: 0.9165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -486*f = -485*f - 10. Solve -8*p + 3*p - 45 = 4*r, 0 = r - 3*p - f for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10982126 + -5236126. Round a to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1096 + 549 + 555 - 2*n**2 - 2*n to w + s*n + u*n**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35.048 + -0.048. Let g = 41.5 + -6.8. Let y = i - g. Which is the nearest to 1\/3? (a) -0.1 (b) -1\/4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 171\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 429966090.\nAnswer: 2, 3, 5, 101, 15767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3329*a**2 + 34*a + 12502 wrt a?\nAnswer: 6658*a + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -164*x + 4 + x**2 - 10 + 165*x to the form y + b*x**2 + z*x and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-44)\/(-10) + (-8 - -10 - 6). Find b such that -6\/5*b**3 - d*b**4 - 6\/5*b**2 + 0 - 2\/5*b = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 4*l + l - 14, -a + 10 = l. Suppose -2*k = l*k - 13040. Round k to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -30 + 40. Let n(l) = -54 - 53 + 107 - g*l. Calculate n(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a819 (base 13) to base 8.\nAnswer: 235122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -7*j**4\/12 + 553*j**2\/2 + 32*j + 4. Find the first derivative of n(a) wrt a.\nAnswer: -14*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -8\/7 (c) 150 (d) 0.5 (e) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 2*k - 18 = 3*n, 15 = -3*k for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 6, -n = 3*f - 0*n + 38. Let i = f + 12. Suppose -3*g + 556 + 5 = i. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + (-51)\/15)*5. What are the prime factors of -5 - a - (-2 - -3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + (sqrt(119) - ((sqrt(119) - sqrt(119)*5) + sqrt(119))*2))\/(sqrt(847)*-1))**2.\nAnswer: 1088\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24152? (a) -24 (b) -5 (c) -0.5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, u: 4}. Give prob of sequence llul.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 2)*(0*a**3 - a**3 - a**3)*(-407*a**2 + 375*a**2 + 1158*a**2).\nAnswer: -11260*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (111 - 111 + 13*a)*(-1 + 0 - 13).\nAnswer: -182*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 832 divided by -8\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/1 - -3) + (-352)\/77.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*i + 6579 - 36243. What is the greatest common factor of i and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24442 is divided by 763?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.02229 (b) 1.7 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 24 - 24)*(-30*u**2 + 14 - 14).\nAnswer: 120*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 7:17 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 45*f**2 + 383*f - 2069. Give o(36).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/107 (b) -1\/4 (c) 0.2 (d) -0.1 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0327 - -0.03270027. Round n to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -451311520 + -21?\nAnswer: -451311541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1144489.36 to the nearest one thousand.\nAnswer: 1144000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/12 and 61\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1368 + -5471\/4. Which is the third biggest value? (a) q (b) -3 (c) -20 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.554 and 6.12.\nAnswer: -3.39048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -188 + 757\/4. Sort d, -0.4, -2 in decreasing order.\nAnswer: d, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 610409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-1025)\/(-200) + 10.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*n + 63 - 213 = 0. Suppose n*y - 248 = -63. Suppose 0 = 5*s - 540 - 15. Calculate the highest common divisor of y and s.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 613017 is divided by 3351?\nAnswer: 3135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.8 + 16.8. Let h = 16.5 - k. Which is the third biggest value? (a) 2 (b) h (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -956812155 + 672.15.\nAnswer: -956811482.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 8*v + 90 = -5*b, v = -5*b - 22. What are the prime factors of (4\/1 + -10)*v?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {c: 12, o: 3}.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -109497 divided by 113?\nAnswer: -969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -72*a - 48. Let n be c(6). Let k = 484 + n. Solve 0 = 2*m - 2*b - 6, 4*m + 3*b = k - 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 3:08 AM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k - 3. Let l be x(6). Suppose 11*h = l*h - 148. Let m = h + -18. List the prime factors of m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 23*q + 319. Let n(f) = 7*f + 106. Let k(h) = -8*n(h) + 3*t(h). Let o be k(-8). Solve -20 = o*b - b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19\/10? (a) 1 (b) -1\/3 (c) 12.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 78288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 9330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1755 = 6*u - 1737. Let p = 6 + -4. What are the prime factors of p + u\/(-3) - -46?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 2*b - 5*b + 3870018, 3*v + b = -3870002. Let l be v\/10 - (-9)\/45. Round l to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-40)*2\/(7*6\/12).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*q - 2*q - 5*b, -q - 8 = 4*b. Let v(z) = z**2 - 4*z - 5. Give v(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 102642757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5975 - -6231. What is the remainder when l is divided by 220?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*v - 5. Let p be 2 + 0 - (v + 0). Does 5 divide ((-26)\/6)\/(p\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 190491.553016 - -0.446984. Let g = k + -190579.0149. Let s = 87 + g. Round s to 3 decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -5. Suppose -f*n = -n - 6. Calculate the remainder when n is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z + 11. Suppose 0 = k - 5 - 0. Let n be f(k). Let t = -23 - -28. Solve t*b = 2*b + n for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11843645.2 rounded to the nearest one thousand?\nAnswer: -11844000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(684) - (sqrt(684) - (-1 + (sqrt(684) - (sqrt(684) - -3*sqrt(684))))).\nAnswer: -18*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, m: 3, w: 4}. What is prob of sequence mjm?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4718 = 4*j + 3*j. Let f(o) = -8*o - 205. Calculate the remainder when j is divided by f(-29).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q**13\/q*q)))\/q)\/(q\/((((q*q**(1\/14))\/q)\/q)\/q))*(q*q**(-2\/11))\/(q**(-6)*q) assuming q is positive.\nAnswer: q**(2293\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5461 + 5469. Suppose -b + 0*b - 189 = -5*o, b = 4*o - 152. Calculate the remainder when o is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and -101.91106.\nAnswer: -102.91106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - w + 2)*(-1 + 1 - 2) + (-8*w + 3*w + 2*w)*(1 - 4 - 3).\nAnswer: 20*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3 - 2 + w - 1. Let b(j) = 2*j + 1. Let n(r) = -3*r - 79. Let z be n(-27). Suppose 3*d - z = 7. What is d*k(y) - 2*b(y)?\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 2*q**3\/3 + 1. Let n(w) be the first derivative of -14*w**3\/3 - 55. Determine c(n(o)).\nAnswer: 392*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*x + 0 = 4, 0 = -4*x - 8. Let w = -20914 - -20919. Suppose -2*r + 4*t + 10 - 4 = 0, t = 2*r. Sort z, r, w.\nAnswer: r, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(39) - sqrt(39) - sqrt(39))*2 + sqrt(468)\/(sqrt(24)\/sqrt(2)))\/(sqrt(108)*6 + sqrt(3)*-3*-5).\nAnswer: sqrt(13)\/51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1434*g**2 - 1197*g**2 - 1584*g**2 - 1297*g**2)*(6*g**2 - 7*g**2 - 4*g**2) to the form l*g + p*g**4 + s + a*g**2 + c*g**3 and give p.\nAnswer: 27560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/11 - 5\/22. Let f = -149\/78 + 11\/6. Which is greater: f or v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79408?\nAnswer: 2, 7, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 847\/9876 - 2\/823. Let r(x) be the third derivative of n*x**4 + 0 + 1\/120*x**5 - 8*x**2 + 0*x + 1\/3*x**3. Factor r(b).\nAnswer: (b + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 4*p**2 - 3008*p + 565504 = 0.\nAnswer: 376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 2*l - 7*l. Let s(j) = j**3 + 43*j**2 - 46*j - 76. What is the remainder when s(-44) is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -126, -251, -376?\n\"Answer: -125*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 + -24. Suppose 2*q = -f*p + 6, 3*p = -q - 0*p + 5. Suppose 0 = -q*x - o + 110, -94 = -2*x + 3*o - 0*o. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -402230 (base 7) in base 6?\nAnswer: -1242545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 - 13\/5*f + 0 + 2\/5*f**3.\nAnswer: f*(f - 13)*(2*f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20387 and 1160?\nAnswer: 815480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -11*b**2 + 9*b - 10. Let m be q(-13). Is ((-18)\/27)\/(4\/m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 5 - (-5 + 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) - (sqrt(175)*-2 + -5)**2) + (1*sqrt(7) + sqrt(7) + -3 - (sqrt(175) - (sqrt(175) + 0))**2).\nAnswer: -728 - 93*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-49))\/((-32)\/(-336))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 35*l**2 + 19*l - 432. Let o(d) = 106*d**2 + 52*d - 1296. Let k(s) = -11*n(s) + 4*o(s). What is the derivative of k(u) wrt u?\nAnswer: 78*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 94 in descending order.\nAnswer: 94, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 13356 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/334425 and 123\/41300.\nAnswer: 78924300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*i**2*l**2*n - 19847*i**2*l*n + 359*l**2 - 3*l*n - n + 1 wrt i.\nAnswer: -4*i*l**2*n - 39694*i*l*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -67 + 59 - (-1 + -4). Let a(x) = x**2 - 2*x - 22. Determine a(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 38848, 77696, 116544, 155392?\n\"Answer: 38848*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 300*m - 95*m - 97*m - 103*m.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -4. Suppose 29*i - 333 = 355 - 21. Solve u*s = -5*k, -3*s - 2*k = -6*s + i for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -88\/93 + 10459\/930. Find the common denominator of 59\/2 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 997 (b) 4\/3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of g**6\/120 + g**4\/12 + g**3\/3 + 2*g**2. Let w(x) be the first derivative of n(x). Find the first derivative of w(f) wrt f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3 = -3*o, 0 = -4*o - a - 1 - 0. Let k = 5 - 3. Suppose -34000003 = 4*b - o*z - 3*z, 4*b + k*z = -33999998. Round b to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - x = 4, -a + 0*x - 2*x = 5. Let w(z) = -19*z**2 - 3*z - 2. Let v be w(a). Let p be 1015\/(-56) + (-1)\/(-8). Is p bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 3 = -4*q - 3*n, -q + 2 = 4*n. Let v(c) be the second derivative of c**4\/12 - 2*c**3\/3 - 3*c**2\/2 - 464*c. Determine v(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30916, -61833, -92752, -123673, -154596, -185521, -216448?\nAnswer: -247377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 8*z. Suppose 7*s - 411 = 786. Let f(v) = v**2 - 171 + s. Give w(f(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -15*b**3 - b**2 - b. Let d(v) = -30*v**3 - 3*v**2 - 2*v. Let g(i) = 2*d(i) - 5*p(i). Give g(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0522 times 0.71?\nAnswer: 0.037062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 565*a + 12 - 23 - 11 + 12 to r + p*a and give p.\nAnswer: -565","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10328247?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 0*j - 1\/8*j**4 + 1\/36*j**6 - 12 - 5\/18*j**3 - 1\/6*j**2 + 1\/30*j**5. Factor h(z).\nAnswer: z*(z - 2)*(z + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 355928773286 + 2\nAnswer: 355928773288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12900 - 64631 = -1390*x - 21826 + 49325 for x.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 447889 is divided by 10918.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - ((-3 - 1) + -7) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202 + -2?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -966*a - 627*a + 59*a = 515*a - 116793 for a.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 76098.3ml in litres?\nAnswer: 76.0983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**3 + 6*o**2 + 30*o + 16. What is h(-3)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -5\/143 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 16 = -2*y, 2*x + 5*y - 10*y = -16. Solve -4*i = 2*m, 4*i = -x*m + 3*m for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmm. What is prob of picking 3 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d**2 + 8*d**2 + 9*d**2 - 31*d**2 + 11*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 149 - 144. Let f = 8 + -5. Let v(n) = 6 - f*n - 6 + g*n. Let i(h) = -4*h**2. Give i(v(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.1, 0.05, -4, -878\/187 in increasing order.\nAnswer: -878\/187, -4, -0.1, 0.05, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 5*z**2 + 4*z + 1. Let s be h(-4). Let x = -11 - -16. Put x, s, 2 in decreasing order.\nAnswer: x, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 116128260*j + 0 - 116128245*j.\nAnswer: 15*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 8, -5*f - y - 42 = -0*f. Let x(t) = -2*t - 6. Is x(f) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 7 - 13 = 0, 0 = p + 4*v + 19. Let q be p\/12 + 1\/4. Suppose -5*l + 14 = 4. Solve q = 3*o - 7 - l for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/7 of a week in hours?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - r = -825, -614 = -3*j - 4*r + 211. What are the prime factors of j?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 2*w + f - 3, -4*f + 12 = 4*w. Solve -4 = 4*o - w, o - 2 = -i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001248661161 rounded to five dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.11302 and -1.\nAnswer: 0.11302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 27490 or 86?\nAnswer: 27490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007963 to four decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (u - 29*u - 4*u)*(0 + 1 - 4)*(4*u**2 - u**3 - 4*u**2) in the form h*u**3 + c*u**4 + z*u**2 + f*u + i and give c.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 4*c**2 + 3*c - 6. Let b be a(4). Let k(l) be the second derivative of -l**3\/6 + 5*l**2 - 2*l - 196. Determine k(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 5:59 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + (28 - 50) - (1 - 0 - 7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**3 + 873*z**2 - 873*z**2 + 15)*(-3 + 3 - 2*z - 1).\nAnswer: -10*z**4 - 5*z**3 - 30*z - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*s - 123*s - 6838311*s**2 + 1381976*s**2.\nAnswer: -5456335*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -20, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*y - 18*y. Suppose -12*m + m + 638 = y. Suppose -87 = -k + m. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64734262 divided by -31?\nAnswer: -2088202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4046 - 1280598523.\nAnswer: -1280594477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 7*m**2 - m - 6. Let t be h(-7). Let k be t*(2 - 0) + -2. Solve -5*d + k*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -1002?\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -493273, -493283, -493291, -493297, -493301?\nAnswer: -493303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 i when two letters picked without replacement from sppiiiiisiii?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 342 and 3042.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1168 divided by -146\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -y**7\/2520 + 19*y**5\/20 - 2*y**2 - 34*y. Let n(j) be the third derivative of i(j). Let t(x) = -7*x**2. What is n(t(r))?\nAnswer: 14*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 72 + -34. Is v a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (11 + -13)*(0 - (0 - -1)). Let b(h) = 2*h + 4*h - h**3 - u*h**2 + 0*h**2 - 3*h + 1. Let a(z) = -2*z**3 - 3*z**2 + 4*z + 2. Calculate 3*a(s) - 4*b(s).\nAnswer: -2*s**3 - s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 401 = -4*y - 5*h, y + 44 = h - 54. Let j = -14 - y. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j - 4. Let l be k(3). Let b = 894 + -887. Calculate the least common multiple of 50\/8 + (-2)\/l and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8.5 (b) 0.3 (c) 4\/9 (d) 0 (e) 2\/7 (f) -0.2 (g) 14.6\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -16\/15*t**5 + 28\/9*t**4 - 1\/63*t**7 + 16\/3*t**2 + 1\/5*t**6 + 0 + 3*t - 16\/3*t**3. Suppose i(g) = 0. Calculate g.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/20 and -99\/59763146.\nAnswer: 597631460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/2 - 385347*y\/2 - 1734021.\nAnswer: -(y + 9)*(y + 385338)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -n**8\/2520 - 4*n**7\/1575 - n**6\/180 - n**5\/225 - n**2 + 6*n. Let t(c) be the first derivative of f(c). Factor t(a).\nAnswer: -2*a**2*(a + 1)**2*(a + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 b when four letters picked without replacement from bbvvbhhhbhhh?\nAnswer: 16\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - u + 6*u)*(4 + 0 - 6) - 4*u + 5*u - 2*u + (-3*u + 2*u + 2*u)*(-5 + 1 + 2) + 2*u - 2*u + u + 0*u - u - u.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -m - m + 5*m + (-2 + 3 + 2)*(-21 - 1 - 90)*(-6*m + 2*m + 2*m) in the form s*m + p and give s.\nAnswer: 675","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of w**3 - 495461*w**2 - 1273023*w?\nAnswer: 6*w - 990922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p**3 + 18*p**3 - 26*p**3 + 998*p - 998*p.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.168*21.\nAnswer: -3.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -824 and -28\/275 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1383, -1413, -1445, -1479, -1515, -1553, -1593?\n\"Answer: -r**2 - 27*r - 1355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of z**4 + 3*z. Does 12 divide b(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by 5.\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/173 + -2444\/1903. Suppose 10 - 10 = 2*m. Which is smaller: m or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2601, 10439, 23509, 41817, 65369, 94171, 128229?\n\"Answer: q**3 + 2610*q**2 + q - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of j**7\/42 - 23*j**4\/24 + 13*j**2. Find the second derivative of c(n) wrt n.\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 157584 divided by -19698\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/7 + 1532016*s\/7.\nAnswer: 2*s*(s + 766008)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1116*i + 591*i - 136*i - 226.\nAnswer: 1571*i - 226","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -105 + 32?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-264)\/1650)\/(42\/10))\/((-1)\/(-3)).\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 0*y + 3*y)*(-5*y + y + 2*y) + 0*y**2 + 0*y**2 - y**2 + 2*y**2 - 3*y + 3*y + (-42*y - 1085 + 1085)*(0*y - 14*y + 4*y)*(0 + 4 - 3).\nAnswer: 417*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 4*i**2 - i. Suppose -27*q + 25*q - 6 = 0. What is the remainder when (q\/(6\/(-8)))\/((-3)\/(-33)) is divided by x(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 m when two letters picked without replacement from llmllm.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -101960 and -0.33.\nAnswer: -101960.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -5325000*w**2 + 2*w + 6. Let t be x(-4). Let y be t\/4 - (-2)\/4. What is y rounded to the nearest 1000000?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3 + (sqrt(117)\/((2*sqrt(63))\/sqrt(7)) - sqrt(156)\/(sqrt(36)\/sqrt(48) - sqrt(12) - sqrt(12))) + 0))**2.\nAnswer: -180*sqrt(13)\/7 + 4689\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2287 (base 11) to base 10\nAnswer: -2999","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/32148 and -61\/43543620.\nAnswer: 827328780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i - 1. Let u be h(-12). Let k = -24 - u. Let a be -875*k\/(22\/1440). Round a to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104942523.\nAnswer: 3, 7, 263, 19001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.02 - 3.42. Let o = x + -0.6. Which is the nearest to 0? (a) -2 (b) o (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -29875, -29874, -29873?\n\"Answer: c - 29876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(2\/3)*q**(1\/2))\/(q\/(q**0\/q))**(-2\/3))**26 assuming q is positive.\nAnswer: q**(169\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, r: 1, p: 1, y: 1, g: 1}. What is prob of sequence cp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 76\/18 - (-4)\/(-18). Let z(n) = 3*n**3 + n + 2*n**2 - 2*n**3 - 10*n**2 - 6. Let a be z(8). Solve 2*t + a*q = -q + 5, -c*t + 2*q = -18 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9724 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (54\/(2 + -3))\/((-42)\/(-189)). What is the common denominator of (-57)\/(-1368)*f\/5 and 69\/20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60.842 + 61. Let z = g - 0.058. Let k be (2 - 2)*(-5)\/(-20). What is the biggest value in -34, k, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 113 + 30. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 574038791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224 = -35*x + 37*x. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*p**2 + 678*p**2 + 256*p**2.\nAnswer: 1044*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3540, -3539, -3538, -3537, -3536?\n\"Answer: l - 3541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37180, -37148, -37116?\nAnswer: -37084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*u**5 + 5*u**5 - 13*u**5 + (3*u**4 + 2*u - 2*u)*(-4*u + 0*u - u).\nAnswer: -29*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 83 + -80. Let d be 9\/x - 68\/16. Let q = 2 + -3. Is q != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -428158? (a) 1\/4 (b) 3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4356 - -890. Is 14 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**2 - 22*f**2 + 3*f**2 - 471*f - 7*f**2.\nAnswer: -21*f**2 - 471*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 >= -6154.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 90*n - 55. Let c be u(3). Suppose -2*w + 3*p = -326 - c, w = p + 273. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-69580)\/(-30) + 6\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 536 + -1?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(16\/12)*8\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*w - 5 + 16 - 12)*(-3*w + 2*w - w).\nAnswer: -28*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -245*d - 21. Let x(v) = v**2 + 2*v - 19. Let m be x(-5). Let b(o) = 245*o + 16. Let u(q) = m*r(q) - 5*b(q). Differentiate u(j) with respect to j.\nAnswer: -245","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r**2 + 19*r**2 + 23*r**2.\nAnswer: 37*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1248 and 416.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 2*u - 2. Let d(r) = 1. Let c(s) = 2*d(s) - k(s). Let z be (2 + 1)\/3 - -11. Suppose 0 = 2*t - 5*l + 28 + 3, -3*l = t - z. Determine c(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)\/(sqrt(11) - sqrt(11)*-1 - sqrt(11)) - sqrt(19)) + (sqrt(19) + -1)**2 + -1.\nAnswer: -2*sqrt(19) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1\/i)**26)**(-48)*(i*i*i*i**(2\/7))**(2\/145)*(((i**(1\/4)*i)\/i)\/i)\/i**0 assuming i is positive.\nAnswer: i**(-2861\/4060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.515 = 74617?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 8768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*v**2 - 33*v + 4688 with respect to v.\nAnswer: -26*v - 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/24256335 and -23\/642939.\nAnswer: 266819685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 131 + 21051?\nAnswer: 21182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.8 + -0.3. Let c = 1.19 - 13.19. Let x = -7 - c. Sort x, q, -1.\nAnswer: -1, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + (-6)\/8 + (-10075)\/(-20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98283438 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -116*i**3 + 3*i**2 + 3. Let o(y) = -231*y**3 + 5*y**2 + 5. Calculate 5*c(g) - 3*o(g).\nAnswer: 113*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/5*(-15)\/(-12). Let x = 657 + -654. Let v = 0.49 + -0.19. What is the second smallest value in v, x, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -1001010110111100?\nAnswer: 1001010110111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 620597 divided by 3.\nAnswer: 620597\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1077, -1075, -1071, -1065, -1057?\n\"Answer: w**2 - w - 1077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80, -15, -110?\nAnswer: -205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -791 + 789. Let r(d) = 2*d**3 + 66*d**2 - 574*d + 514. Let b(a) = 6*a**3 + 132*a**2 - 1147*a + 1029. Let u(p) = y*b(p) + 5*r(p). What is t in u(t) = 0?\nAnswer: 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11\/3 - 15\/4. Let d = -1\/1066 + -18653\/2132. Find the common denominator of d and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -5*n + 15. Let u(a) = -a + 1. Give -15*u(h) + v(h).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - r - 28*r**4 + 3*r**2 + 26*r**4 + 3*r**3 - 2*r**3 in the form l*r**3 + t*r + g*r**2 + a + u*r**4 and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**4 - 6*i**3 - 118*i - 141. Let c(k) = k**3 + 1. Let j(m) = 6*c(m) + y(m). Differentiate j(h) with respect to h.\nAnswer: -4*h**3 - 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 + -0.1. Let j = -55 - -55.64. Let p = j + -1.14. Put p, x, 0.1 in ascending order.\nAnswer: p, 0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -84*r**2*y + 43*r**2 + 2*r with respect to y.\nAnswer: -84*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 375915 and 1?\nAnswer: 375915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -13*q**3 + 14*q**2 - 8*q + 1. Let s(a) = 37*a**3 - 41*a**2 + 24*a - 2. Let n = 263 - 269. Let z(o) = n*s(o) - 17*f(o). Calculate z(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69149.5526*-4\nAnswer: -276598.2104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 129869219 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -0.126, 8 in increasing order.\nAnswer: -4, -0.126, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5636265 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 1278c7?\nAnswer: 1278c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376943737.\nAnswer: 17, 857, 25873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 247309099 to the nearest integer?\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 5*y = 238 + 177, -2*r - y = -166. Let h = r - 79. Suppose w = 48 - h. What is the greatest common factor of 33 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j - 5*h - 31 - 6, -j - 13 = 2*h for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2054 - 38226*c - 21814*c - 2054.\nAnswer: -60040*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*q**2 + 2*q**3 + 62426 - 3*q**3 - 17*q**2.\nAnswer: -q**3 + 62426","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -9*j + 2. Let i be t(-2). Let o = 12 - 27. Let b = i + o. Calculate the lowest common multiple of b and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 297638, 297639, 297640, 297641, 297642?\nAnswer: 297643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 635790 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -m**5\/60 + m**2 + 7*m. Let y(r) be the first derivative of c(r). Let i(g) = -3*g**2. Give y(i(d)).\nAnswer: -9*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5958 is divided by 370?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.881 - -0.011. Let l = -30 - -30.13. Let u = f - l. Sort u, -1, -3\/7.\nAnswer: u, -1, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 6:33 AM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-28)\/8 - -2)*330\/(-9). Let u = -37 + y. Calculate the least common multiple of 4 and 5\/((15\/u)\/1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224 = -194*f + 226*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rbycyqcyycrcjbjbyybr. What is prob of sequence jqyy?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2*i + 11, 3*i + 12 = 4*w + 36. Suppose 176 = i*u - 0*u. Calculate the greatest common factor of u and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/204 and -47\/18873.\nAnswer: 1283364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1850596, -1850594, -1850590, -1850584, -1850576, -1850566?\nAnswer: -1850554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 130 in -0.3, 0.4, -2\/17, 0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/8*10\/15\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/7*s**2 + 2*s - 24\/7 = 0 for s.\nAnswer: 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -188*q + 126*q - 93*q to the form y*q + l and give y.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 4*n - 5*n)*(-1 - 19 - 3)*(-3*n**2 + 7*n**2 - n**2) - 2*n**3 + 19*n**2 - 19*n**2.\nAnswer: -71*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than -171.714916746793?\nAnswer: -171.614916746793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27.092 - 0.092. Is a <= 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbpqqbbpqppbbqpp. What is prob of picking 2 p?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*l**2 - 28163 + 28163.\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of j**5\/10 + j**4\/12 - j**2\/2 + 402*j. Let s(z) = -z - 4. Let g be s(-3). Calculate w(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k\/k**(-3))*k*k**(-1\/7)\/k*k**(-9)*k**(-1\/18) assuming k is positive.\nAnswer: k**(-1537\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1488 divided by 62?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3309 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 74253 - -22.\nAnswer: 74275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ogo when three letters picked without replacement from {v: 3, p: 3, l: 2, k: 3, o: 2, g: 1}?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11456824565 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17081748 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - p**2 - p + 26. Let l be d(7). Suppose 3*q - 1958 + 308 = 0. Let b = q + l. List the prime factors of b.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/108 and -157\/97800.\nAnswer: 880200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g**4 + 23*g*p**2 + 120*p**2 wrt g.\nAnswer: 8*g**3 + 23*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-42*11\/33 - -11)\/((-274)\/70). Is -0.1 less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -160\/77 - -26\/11. Let y = 20\/21 - a. Let -2\/3 + 4\/3*q - y*q**2 = 0. Calculate q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 65756.009 to the nearest 100.\nAnswer: 65800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -38557, -77215, -115967, -154807, -193729?\n\"Answer: p**3 - 53*p**2 - 38506*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - k**2 + 28. What is l(0)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 122 in -2420, -2\/17, -1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 2592.\nAnswer: 7\/2592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rqrqquruqrq. Give prob of picking 3 q and 1 u.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3436.7321752 + 1.5322752. Let z = q - -3435. Let n = -0.2 - z. What is n rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19649 + 19682 - 21\/(2 - 3).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-51)\/(-15) + -3)\/((-40)\/(-100)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -435*g - 13. Let a(r) = 218*r + 7. Let z(p) = 5*a(p) + 2*o(p). Is z(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75, -2, 0, 1, -3, -17 in descending order.\nAnswer: 1, 0, -2, -3, -17, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 41 (b) 0 (c) 9 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {g: 2, s: 1, t: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0162609 rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 - 4 = -2*l. Differentiate l*a + 4 - 14*a - 39*a wrt a.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1504)\/64)\/(((-720)\/24)\/(-60)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -17 and -234.\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -4. Let z(b) = -b**3 + 5*b**2 - b. Calculate z(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010110011101101101011 - -100000001?\nAnswer: 1010110011110001101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 6:59 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 47, -9, 8?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 6. Suppose 2*t = -4*l + 30, 5 = -101*t + 102*t. Solve 2*v = 4*v - l*s - q, v + s = -1 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1272.446 from 171.297.\nAnswer: -1101.149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c. Let l(m) be the second derivative of 37\/6*m**3 + 0 - 17*m + 0*m**2. Give r(l(w)).\nAnswer: 37*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 59?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: bb44 (base 13) to base 11\nAnswer: 18661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -12*j**2 + 15*j - 28. Calculate o(2).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*x + 3*x - 5*x + (0 - 2 + 3)*(-x - 3 + 3) + x - x - 2*x + 0*x + 5*x - 3*x)*(5*x + 0*x - 4*x) as o + b*x + d*x**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*f + 2*f + 2*f + (-7 + 2 + 3)*(0 + 0 - 2*f) - 15 - 34 + f + 14.\nAnswer: 4*f - 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 + 39. Which is the closest to i? (a) -1\/2 (b) 2\/11 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/sqrt(8) - sqrt(176)\/sqrt(4)*-5)\/((sqrt(48) - sqrt(528)\/sqrt(99))\/(-2*sqrt(1452) + sqrt(1452))).\nAnswer: -363*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 13*g + 25. Let n be h(11). What is the remainder when 3 is divided by (n\/2 - 2)*-2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of -4*c - 9 + 1\/2*c**2. Determine w(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tf when two letters picked without replacement from cvttuvvfucvvx.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10221100 (base 3) to base 2\nAnswer: -101100110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4452734.3100097 - 4452733. Let h = -1.31 + k. What is h rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3346891313.\nAnswer: 479, 6987247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 12 = 3*x, 5*x - 250799*g + 250794*g - 50 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 6*l**2 - 42*l - 11. Does 22 divide n(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*d)*(-373*d + 320*d + 295*d).\nAnswer: -484*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 9*d**2 - 29*d. Let h(y) = 13*y**2 - 44*y. Let q(u) = -8*f(u) + 5*h(u). What is the second derivative of q(p) wrt p?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ji when two letters picked without replacement from {w: 2, i: 1, j: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**4 - 132*p**3 + 588*p**2 - 796*p + 336.\nAnswer: 4*(p - 28)*(p - 3)*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54380192?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 28\/(-21)*-6*1. Let k be (10\/(-4))\/((-4)\/p). Solve k*b + 16 = b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 170\/(-16) + (-24)\/64. Let h be ((-4)\/18)\/(t\/99). Suppose -k = -4*l + 6, 0 = 4*k + h*l - 2 - 28. Solve -4*u + x = -21, 0 = -u + 3*x + 2 + k for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.27623 - -16.78977. Round t to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/20 in -1, -5\/3, 1\/4, -6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d + 2. Let y(q) = 27*q + 48. Determine -72*j(p) + 3*y(p).\nAnswer: -63*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggoj when four letters picked without replacement from jqooqgovgjoaaooo?\nAnswer: 1\/1560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*m - 3*m = 36 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 357307, 357318, 357339, 357370, 357411, 357462?\n\"Answer: 5*s**2 - 4*s + 357306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7653896994 to 4 dps.\nAnswer: -0.7654","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7\/((-28)\/(-20)) + 1)\/2. Suppose -5*y = 6*l - 50, -t*y + 19 = 5*l - 18. Solve -5*s + 11 = 4*j - 0*s, l*j + 3*s - 17 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 303594971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 164 + -1?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-6)*45\/10)\/(-3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -44 - 42. Let c = -84 - v. Solve -c*a - 3 = a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -45*n. Let c(o) = -1666*o. Let q(a) = 3*c(a) - 112*x(a). Let u(k) = -2*k. What is q(u(b))?\nAnswer: -84*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s + 2*s + 0*s - 6477*s**2.\nAnswer: -6477*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115 (base 8) to base 16.\nAnswer: 4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 10. Suppose -25 = -3*l - x*l. Suppose t - l = 27. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -956997162422 - 6*v**3 + 956997162422.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*t + 568 - 116 = -48*t - 108*s - 108*s, 12 = t - 4*s for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 + 22. Suppose -12*w + r = -31. Solve -1 = w*x - 16 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 262476 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 3*h**4\/8 + 12*h**3 - 39*h**2 - 273. Factor o(d).\nAnswer: 3*d*(d - 2)*(d + 26)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 318*g**3 + 3*g**2 - 2*g. Is f(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -803800 to the nearest 10000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 26*y + 15. Let o(x) = 9*x + 1. Let g(j) = -3*o(j) + p(j). Suppose -4*s - 2*f = 4, -4*s + 2*f + 10 = -3*f. Determine g(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = -8*r + 18*r + 2*d, 6*r - 74 = -2*d for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**4))**(1\/26))**48\/((j\/((j\/j**(-1\/3))\/j*j)*j**9*j)\/((j**(-2\/9)\/j)\/((j**(-3\/8)*j)\/j*j))) assuming j is positive.\nAnswer: j**(-17689\/936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*u**2 - 12*u + 12*u + 4 - 4 - 9*u**2 + (3*u - 4*u + 0*u)*(2*u + 3 - 3) - 5*u + 5*u - 2*u**2 + 0 - 2*u**2 + 0 + (3 - 1 - 3)*(5*u**2 + 0*u**2 - 3*u**2).\nAnswer: -29*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 8 = 2*f, 4*k + 5*f - 16 = 2. Suppose -2*b + 0 - 16 = -k*n, 5*b = 2*n - 31. Suppose -n*p + 8*p - 40 = 0. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006395 rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -755593.\nAnswer: -151118.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 - 2) + (-4)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 + -1)\/(15\/20). Let p(z) = 7*z + 4. Let d(t) = 3*t + 2. Calculate i*p(q) - 9*d(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.99 + -11. Let x = d + 0.07. Let m = 0.04 + x. What is the smallest value in 5, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p**2 - 56*p - 8. Let m(l) = -10*l**2 - 103*l - 16. Calculate -4*m(z) + 7*q(z).\nAnswer: 19*z**2 + 20*z + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**1*z)\/z)**(-8))**3 assuming z is positive.\nAnswer: z**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3 + 158*x**2 + 2358*x + 9882.\nAnswer: 2*(x + 9)**2*(x + 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 5*q**2 - 2*q + 1. Let l = -13 + 10. Is r(l) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 3*h**2 + h - 1. Let a be g(-2). Calculate the remainder when 62 is divided by (8\/(-6))\/(a\/(-12)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 344 + -353. Let f = -0.02 + -3.98. Let z = -0.0041 + -0.0959. Which is the biggest value? (a) z (b) f (c) g (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 12:34 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -4. Suppose 0 = -4*d + 9 - 73. Let f be d\/10*45\/(-6). Calculate the greatest common divisor of f and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c - 4*c = -504. Let f be (0 - 0)\/(8 - c\/(-8)). Solve f = 2*x - 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -386*r - 6 = s - 385*r, -11*r = -5*s - 110 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 51, 103, 173, 261, 367?\nAnswer: 491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2. Suppose -p + 12 = 4*o, 2*p + 20 = 7*p. Let q(j) = -5*j**2 + 8*j**2 - j**2 + 9*j**o. What is c(q(w))?\nAnswer: 242*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r - 5. Let v = 4 - 9. Let s be z(v). Suppose -2*h + 5*h = 15. Solve h*x - x + 20 = s for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1\/8)*s**(-2\/29))\/((s\/(s**(-1\/6)*s))\/s)**16 assuming s is positive.\nAnswer: s**(9841\/696)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5760734?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {j: 2, p: 11, c: 1}?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*n**2 + 78*n**2 + 13*n**2)*(n**2 + 2*n**2 - n**2 + (n + 3*n - 5*n)*(-7*n + 3*n + 2*n)) to the form v + c*n**2 + t*n + a*n**4 + w*n**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 3, 2\/2967, 0.695?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101676.\nAnswer: 2, 3, 37, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.388 + -0.32. Let a = -0.0749 + x. What is a rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10001289 and 5?\nAnswer: 50006445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 21*l - 42. Let s be h(18). Suppose 0 = -q - 3*q + s. Suppose -2*v + q*v = 8. Solve 4*t - 5*r + 17 = 0, -12 = -4*r + v for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 7:59 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20947676881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 5:59 AM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 20 + 39 - 20 - o**3 + 0*o**3. Let x(h) = 6*h**3 + 7*h**2 + 7. Calculate 35*m(n) + 5*x(n).\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*3\/24*24\/42.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 22*f - 3. Let j(w) = 22*w - 2. Determine 2*d(u) - 3*j(u).\nAnswer: -22*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6475 by 37.\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24.207 - -0.127. Let m = -25 - j. Round m to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 2 = -q - 22, 5*h = 4*q + 41 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -11.44 + 0.1\nAnswer: -11.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-nine halves of a meter?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + 3 - 0) + 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/15 + -2 + 3. Which is the closest to -0.1? (a) n (b) 3 (c) 5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 49*p**4 + 62. Let j(y) = -16*y**4 - 21. Suppose 38*c = 34*c + 44. Let w(x) = c*j(x) + 4*o(x). Find the first derivative of w(i) wrt i.\nAnswer: 80*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*m - 4*m**3 + 3*m**3 - m**4 + 2*m**2 + 4*m + 2*m in the form b*m**2 + z*m + g*m**3 + d*m**4 + h and give z.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3154*v + 68. Let l be x(7). Suppose -42*j + l = -36*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-3 + (2 + sqrt(396)*1)*2 + -2*(-3 + 2*sqrt(396)))*1*4)**2.\nAnswer: -3168*sqrt(11) + 26433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9238 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y + 2 = 9*y, v = y + 56. Calculate the remainder when v is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -d - 2, -3*n - 3*d - 4 - 2 = 0. Let q be 2*2\/(-12)*6. Let u = 6 + q. Sort u, 5, n in decreasing order.\nAnswer: 5, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1002 (base 3) to base 15.\nAnswer: 1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of c**5\/15 + 5*c**4\/2 + 97*c**2 + c. Factor d(s).\nAnswer: 4*s*(s + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10202123 to the power of 1\/2, to the nearest integer?\nAnswer: 3194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 4. Let o be (-2 - -8) + (h - 5). Let t(i) = -2*i - i - 5*i - 7. Let g(c) = -7*c - 6. What is o*g(n) - 6*t(n)?\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 5*u**2 + u. Let t be y(5). Suppose -t = 4*i + 3. Let l = i + 4. Solve 0 = l*w + 3*w - 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204)*1 - sqrt(204))*6 - -2*2*sqrt(204))\/((-2*sqrt(108)*-2)\/sqrt(9)) + 1.\nAnswer: 1 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from {s: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 133786745 and -3?\nAnswer: -401360235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/23 or -1.712?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 177309, 177310, 177311?\n\"Answer: k + 177308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((18\/12)\/1)\/((2\/3)\/((-168)\/(-126))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2278 = -4*u + 2*i, 4*u - 1725 = u - 4*i. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.48 times -55.24?\nAnswer: 357.9552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -4*q + 68, q - 14 = -0*q - 2*c. Suppose 0 = 3*t - 3*u - 60, 2*u - q - 48 = -4*t. Suppose t = -0*a + a. Does 18 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 10*k**2 + 2*k + 20. Let t be l(-10). Suppose 2*d + 32 - 36 = t. Find the third derivative of -8*i**2 - 30*i**3 + 17*i**2 - 15*i**d wrt i.\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 758, 3404, 7904, 14252, 22442, 32468, 44324?\nAnswer: 58004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 426 and 66882.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.04, -2.8, -0.4, 86, -1\/55?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a millennium in months?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5060 - 5978491478\nAnswer: -5978486418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -20*g + 2. Calculate the least common multiple of n(-1) and 34.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 420 - 417. Suppose 4*r + 259 = 4*h - 205, o*h - r - 354 = 0. What are the prime factors of h?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t + 305. Let x be p(-65). What is the greatest common divisor of 390 and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7031587 rounded to three dps?\nAnswer: -0.703","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 7*n**2 + 3*n. What is the lowest common multiple of 4 and v(-2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of t**6\/180 - t**5\/60 - 7*t**4\/72 - t**3\/9 - 65*t + 17. Suppose y(l) = 0. Calculate l.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d*(d**(-2\/13)*d)\/d*d)*d*d*d)**19\/(d\/d**(-2\/9))**(-14\/11) assuming d is positive.\nAnswer: d**(7193\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4130, -4081, -4034, -3989, -3946, -3905?\n\"Answer: -m**2 + 52*m - 4181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-70*o + 70*o - 9*o**2)*(1514*o + 319*o + 386*o + 243*o + 462*o) to d*o**2 + t*o**3 + p + n*o and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/7)\/(i**12\/i))**(6\/11) assuming i is positive.\nAnswer: i**(-474\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - j + 34 - 431, -5*u + 4*j = -510. Does 11 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 10*w = 9*w + 2, 5*w = -5*b + 25 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 10*r**2 - 13*r - 9. Let h be t(8). Is 16 a factor of (-95)\/((h\/3)\/(-5))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 7:10 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51 - (-71 + 12815\/105).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f + 868 + 0*f + 16 + 369 + 537 in the form p + i*f and give p.\nAnswer: 1790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/2 + 171*u**2\/2 + 660*u + 1304.\nAnswer: (u + 4)**2*(u + 163)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2972.9999994882 + -2973. Round o to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 7*t**2 + t + 3. Let b be q(-7). Let y be (-1)\/((-42)\/(-15) - 3). Let r = 0 + y. Sort r, 3, b in increasing order.\nAnswer: b, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -683*p + 689*p - 737280000. What is p rounded to the nearest 1000000?\nAnswer: 123000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, -0.3, -75\/7, 7.6, 2?\nAnswer: -75\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -142048?\nAnswer: -142048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t + 1 + 0*t - 2 + 2 + 0.\nAnswer: 4*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 35*h + 53 - 37.\nAnswer: 35*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2039, -4112, -6231, -8402, -10631, -12924, -15287?\n\"Answer: -c**3 - 17*c**2 - 2015*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 154, 126, 108, 106, 126, 174?\n\"Answer: o**3 - o**2 - 32*o + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 39926 divided by 1\nAnswer: 39926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-6)*(-198)\/(-66)*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/2)\/(4\/16). Calculate the smallest common multiple of (-85)\/(-6) - j\/(-12) and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 10:08 AM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 + t - 2. Let f be m(-2). Suppose -10 = -f*y + 6. Suppose y*g + 5 = 5*g. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 23.20339 millimeters?\nAnswer: 2.320339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(2\/13))**(2\/75))**(3\/43) assuming b is positive.\nAnswer: b**(6\/2795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 26\/(-4)*(-4 + 2). Let k(t) = t**2 - 6*t - 15. Calculate the remainder when k(m) is divided by (-4)\/2*(-104)\/(80\/10).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -13*r**3 - 21*r**2 - 6*r - 2132. Determine k(0).\nAnswer: -2132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 5*c - 3*c + 4, 0 = -2*c + 6. Solve -2*s - 4 = 0, -4*s = 3*o - 0*o + m for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4*1*sqrt(2) + sqrt(16)\/(sqrt(8)*-1).\nAnswer: -5*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2653481\/4 or 663369?\nAnswer: 663369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 350*k**2 - 20*k - 110. List the prime factors of l(-7).\nAnswer: 2, 5, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 3*l - 5. Let h be z(-5). Suppose -3*i + 2 = -d, 3*i - h*d - 10 = -0*i. Let j(r) = -5*r + 3*r + i*r. Let b(x) = 13*x**2. Calculate b(j(u)).\nAnswer: 52*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 20 + 11 = 2*u, -2*u = -4*i - 26. What is the second smallest value in 0.1, 0.2, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 + -14. Calculate the least common multiple of 5 and k.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2241 - -2239. Let j = -7 + 11. Let o(n) = 5*n**3 + 3*n**2 + 2*n + 5. Let k(y) = y**3 + y**2 + y + 1. Let s(x) = j*k(x) - o(x). Calculate s(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 378\/5 + -76. Which is the second biggest value? (a) u (b) 2\/5 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1532181\/5 or 306437?\nAnswer: 1532181\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**2 - s + 52. Determine d(7).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 3*v**2 - v + 3. Let c be r(3). Suppose c = -2*s + 2*z + 34, -s + 9 = s + 3*z. What is the second derivative of 4*d + 3*d**2 - 12 + s wrt d?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50 - -49.99796. What is k rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + -38 + 29 + -14?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 5*r - 4. Let p be m(-6). Suppose 6 = -4*c - 2. Let z(n) = n**2 - n - 1. Let d be z(c). Solve v + d*h = -2*v + 30, -v + h = -p for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*r + 114*r - 5472 = 185*r for r.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n + 1. Let m(g) = -28*g - 3. Let d(f) = 55*f + 4131. Let h be d(-75). Determine h*s(y) + m(y).\nAnswer: -22*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**2 - 88*b. Let v(x) = -128*x + 10. Give v(k(y)).\nAnswer: 256*y**2 + 11264*y + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -1283*f - 15397. Calculate v(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 737, 863, 1057, 1301, 1577?\n\"Answer: -3*v**3 + 52*v**2 - 9*v + 697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2393 a factor of 133704089?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9089\/109358212097 - 2056501675275545387693\/5817091376075721. Let a = -6009972\/17 - w. Let x = -2\/447 + a. Put x, -2\/5, -4 in ascending order.\nAnswer: -4, -2\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 96 = -0*j + 2*j, -2*w = -2*j - 62. Let c = w - 30. Solve 4 = 3*n - c*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -514 - -516. Let q = -10 - -6. Let v = -252.6 - -253. What is the second biggest value in v, q, x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2 + 91*b**2 + 3.\nAnswer: 91*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 721561.8 litres in millilitres?\nAnswer: 721561800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/3)\/(n\/n**(-1\/3))*(n**1)**28)**(-1\/15) assuming n is positive.\nAnswer: n**(-79\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83655, -83358, -82547, -80964, -78351, -74450, -69003, -61752?\nAnswer: -52439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2.9*0.07266\nAnswer: 0.210714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45.9768 - -46. Let m = 32.0768 + o. Let k = 32 - m. Which is smaller: k or -0.039?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/7)\/m*m)**19*((m**(-2\/15)*m)\/m)\/(m*m**(2\/3)) assuming m is positive.\nAnswer: m**(127\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**(-3\/5)))\/(z\/z**(-7))*z**(-5)\/(z**15*z*z) assuming z is positive.\nAnswer: z**(-153\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/((-9)\/(-60)) + 3. Is 0 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-30) + ((-70)\/(-12))\/(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7676\/132 - (-2)\/3 - (-116)\/638?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 4:30 AM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*b + 14*b + 250 = -1230 for b.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*-1*(198\/(-154))\/(-9)*-1*62.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -18*(-126)\/(-18)*(-2)\/(-7). Is r\/48 + (-18847)\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-56)*392\/560.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q + 11. Let w(b) = b - 5. Let y(r) = 4*p(r) + 9*w(r). Let t(f) = 3*f**3 - 2*f + 2. What is -t(h) - 2*y(h)?\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -118 - (35 + -67 - 50)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 1:28 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 10*p + 18 = -2*w, 0 = 4*p - 3*w - 13. What are the prime factors of 1\/((-1)\/p) - (-91 - -12)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -335*q + 350*q + 90 = 0 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 29*l**2 + 19*l - 796. What is t(28)?\nAnswer: 520","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is -2d68a (base 16) in base 9?\nAnswer: -313120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 4. Suppose y - 5*y + 268 = i. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -35 + (-3 - -6)\/(-3). Let z = 57 + m. What is the highest common factor of 189 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 4*w - 3. Calculate h(-4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 2*g - 4 - 1, 0 = x + 5*g - 2. Suppose 8 = 3*u - 2*o + o, 0 = -2*u + o + x. Let w(f) = 1 + 70*f - u - 49*f. Let m(r) = -r**2. Determine w(m(p)).\nAnswer: -21*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + s + 2*u = -5090, 4*s - u - 6795 = 0. What is s rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 462947430 to the nearest integer?\nAnswer: 21516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/3 - 2420540*a\/3 - 1464753472900\/3.\nAnswer: -(a + 1210270)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**3)\/q**(-15))**(-9\/7) assuming q is positive.\nAnswer: q**(-117\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*9\/8*(-4)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**2 + 3*q**3 - 7*q**2 - 24 + 5*q**2 + 19*q - 51*q - q**3 = 0.\nAnswer: -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -614*(-7)\/(-14)*-2.\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -1\/60*c**5 + 0 - 1\/2*c**2 - 5\/24*c**4 - 14*c + c**3. Let l(u) be the first derivative of k(u). Give l(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 170407208*x**4 - 229025808*x**2 wrt x?\nAnswer: 4089772992*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110100110110011100001 (base 2) in base 11?\nAnswer: 2185834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -911 greater than -910?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 276501051 divided by 44763?\nAnswer: 6177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-102)\/36 - (-1)\/(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51013 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: In base 8, what is 17413 + 3?\nAnswer: 17416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 150852118201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 7:23 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 5*p**7\/7 - 7*p**3\/3 - 7. What is the third derivative of u(z) wrt z?\nAnswer: 600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 9:42 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + 8. Let c = 14.3 - d. Let h = 4.6 + 0.4. Put 6\/7, c, h in descending order.\nAnswer: h, 6\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*a + 37 + 48*a + 15 - 26*a + 13*a**3 to the form q*a**2 + n*a**3 + i + c*a and give n.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g - 2*g - g)*(-163*g - 107 + 76*g + 86*g) in the form b + n*g**2 + v*g and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 36789514933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2\/14*((-259)\/21)\/37\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/5 - 14\/(-40). Put y, -1, 2\/13 in decreasing order.\nAnswer: y, 2\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 equal to -34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 8*g**2 + 4*g + 2. What is the units digit of k(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*q + 42 = 0. Let l = 31 + q. Solve -2*s = 3*s - l for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 173449386 to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 1 + 7. Solve -n*u - 10 = -3*s - 2, -2*u = -2 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*w + 40 = 0. Let c be (-1 + 0)\/((-13)\/(-65)). Let l = c - w. Solve y + 2*j = 2*y - 5, 2*j = 3*y + l for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -244884, -244864, -244842, -244818, -244792?\n\"Answer: z**2 + 17*z - 244902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 8*l**2 - l**3 - 2 + 3*l - l**2 + 2*l to y*l**3 + k*l**2 + a + w*l and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 21 = -3*v, 5*w = -4*v - 49 + 12. Let b(f) = -f - 9. Give b(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of ((-372)\/(-36))\/((-2)\/(-162))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*w - 44 = 0, -5*y - 14 = -4*y - 2*w. Let p = y + 32. Calculate the smallest common multiple of p and ((-32)\/(-6))\/(3\/288*16).\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5724570 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51)\/(sqrt(6)\/sqrt(2)))**2 - ((sqrt(187) - -2*sqrt(187)) + sqrt(187))\/sqrt(11)) + sqrt(17) + (1*-4*sqrt(17))**2 + 2.\nAnswer: -3*sqrt(17) + 291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (-24 - -19) - (-3 + 2 + 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*i - 1860 = -82*i for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 477, -1\/3, -2, 26, -0.03, 0.4 in ascending order.\nAnswer: -2, -1\/3, -0.03, 0.4, 26, 477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/357577 and 69\/9297002.\nAnswer: 9297002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (26\/(-13))\/((-6)\/1479 - 0). Suppose -313 - l = -2*f. Is 36 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/24 and 91\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2793 and 28557?\nAnswer: 1399293","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/8*(30\/35)\/6?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 29 = -2*r, -l - 29 = -5*r - 59 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -889, -45, -1, 0, -4 in descending order.\nAnswer: 0, -1, -2, -4, -45, -889","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.9 - 1.1. Let k = -0.9 + m. Let o be 0\/(-1) + 4\/14. Which is the closest to o? (a) k (b) 3\/2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/4 of a kilogram in grams?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, t: 2}. What is prob of sequence tt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -3*z + 5*x, 5*x + 7 - 2 = -8 - 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(187) - (-2*sqrt(187) + sqrt(187)))*3 + (sqrt(187) - sqrt(187)*-1*-4))\/((-5*1*sqrt(44))\/sqrt(4)))**2.\nAnswer: 153\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 143*l - 3. Let y be a(2). Suppose -3*z - y = -916. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r**3 - 8*r**2 - 3*r + 39. Let v(a) = -2*a**2 - a + 6. Let y(m) = f(m) - 6*v(m). Let c(j) = 2*j**3 - 5*j**2 - 2*j - 2. Determine 5*c(q) + 4*y(q).\nAnswer: -2*q**3 - 9*q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence is when two letters picked without replacement from {k: 10, c: 2, b: 2, i: 1, s: 3, d: 2}?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 5*m = 15. Let p(a) = -a**2 + 5*a - 9. Let h be p(4). Sort m, h, 6 in decreasing order.\nAnswer: 6, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200012101121001 + 10?\nAnswer: 200012101121011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + f**2)*(0 - 1 + 2)*(-1 - 2 - 1 + (-1 + 3 - 1)*(0 - 3 + 2)) to g*f + k + c*f**2 and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times 0.0937?\nAnswer: -0.000937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - (-8 + 3)) + 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2. Let i be 36\/(-30)*(-10)\/6. Let r(d) be the first derivative of -i*d**3 - 141*d + 21 + 141*d. Calculate r(m(f)).\nAnswer: -6*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 255*y**2 - 29140*y + 620060 = 0.\nAnswer: 1442\/51, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fyyff. Give prob of picking 2 f.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*k**2 + 29*k - 29*k)*(-2*k + k + 3*k)*(-20 - 2 - 5).\nAnswer: 540*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 73 + -69. Let z be (0*j\/16)\/(3 + -1). Suppose z = -w + 227 + 860. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3543742 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1194 minus 2?\nAnswer: 1192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d + 132*d**2 + 2*d + d - 2*d.\nAnswer: 132*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/942 and (183\/(-1884)*-1)\/(155\/20 - 9).\nAnswer: 4710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*g + 5*m + 14, 5*m + 16 = -2*g. Suppose -162 = -5*n + 73. Let z = 51 - n. Which is the nearest to g? (a) -1 (b) -2\/5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -93\/80 - -9\/16. Which is the third smallest value? (a) 0.2 (b) -1\/12 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(19)*-1 + (sqrt(19)*-1)**2*-2)*2.\nAnswer: -76 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 3*a**2 + 8*a + 6. Let l be n(5). Suppose 0 = -c - 3*c + g + l, 4*c = -5*g + 96. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -4*j - 45. Let s be b(-13). Let y = -7 + s. Suppose -4*q + 20 = -0*q. Solve -a + 0*a + q = y for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 75 = 3*c, -3*c - 7 + 4 = 0. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6841 or 6864?\nAnswer: 6864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 31095 to the power of 1\/2, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 16*j + 5. Calculate p(16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 30 (b) -2 (c) 2 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 415 - 427 = -3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8420 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1ac4 (base 13) in base 11?\nAnswer: -304a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*h = -17*h + 38 - 378 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 690704 - 196159727\/284. Let d = f + 1\/71. Which is the second biggest value? (a) d (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 6*b**3 + 555*b**2 + 44*b - 210. Is z(-92) a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1004.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 6*c**2 - 24*c - 28. Let s be z(5). Solve -4*k + 12 = -n, -4*k + s*n = 5*n + 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**3 - f**2 + 2*f - 1. Let l(b) = -8*b**3 - 22*b**2 + 6 + 27*b**2 - 9*b + 3 - 4. Let z = 12 - 21. What is z*n(s) - 2*l(s)?\nAnswer: -2*s**3 - s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 5*o**2 - o. Let t(y) = -2*y**2 - 47*y + 74. Let f be t(-25). Calculate i(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - (-28 + 2 + 10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 6 - 1 = 0. Let r be 3\/((-27)\/6)*(-2 + b). Solve -r = -d - 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 110 + -44. Let t = 92 - b. Solve -w + 3 = -a + 9, 5*a - t = w for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, d: 3, m: 5}. What is prob of picking 4 m?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 6*v**2 - 3*v - 13. Let i be l(-6). Sort i, 1, -35.\nAnswer: -35, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 21 = 4*k - 1, 0 = -4*i + 4*k + 20. Solve i*b + 1 = -b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 72b6 - -1?\nAnswer: 72b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1524 is divided by 191.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-48)*(1\/(-8) + 297\/968).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -4) + -4 - (-520 - -516).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 24 - 6 + 37*t - 9.\nAnswer: 37*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 5*w**2 - 6*w + 4. Let h be 16\/(-2) + 5\/4 + 207\/276. Determine f(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-14)\/(-294))\/((-52)\/(-3774)) - 4 and 93\/22.\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 550643 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxoxxtxddudxxdxq. What is prob of sequence xquo?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**2 + 5*z + 2. Let d be t(3). What is the common denominator of (-3)\/((-72)\/52)*d and 73\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 10:54 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -3*n - 7, 4*n = 4*i - 2*i - 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*o = -936 - 3971, 2*d - o = 1963. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/121985628 and 97\/5013108.\nAnswer: 365956884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -2. Let i = -483\/304 - -10\/19. What is the common denominator of i and 13\/(-21 + (0 - j))?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 - 21. Suppose -v = -4*j - 16, 5*v = -0*v - 5*j - x. Solve 4*r = -v*r - 4, -p = -3*r + 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 422 is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -13*n**2 - 52132 + 44*n**3 + 8*n**3 - 13*n + 52145. Let p(g) = -21*g**3 + 5*g**2 + 5*g - 5. Calculate -13*p(c) - 5*q(c).\nAnswer: 13*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -405 (b) 28 (c) -0.548 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -98 + 97.862. Let g = m + -0.016. What is g rounded to two decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 + 47 - (-6 - 60\/(-6)). Suppose -34690 = -n*r + 16154. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of 0*a**3 + 0*a**4 - 2 + 1\/3*a**6 - 1\/4*a**5 + 0*a**2 + 9*a - 5\/42*a**7. Factor k(z).\nAnswer: -5*z**3*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*50.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*h - 24*h + 2*h.\nAnswer: -32*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + (-2*sqrt(153)*-1 - sqrt(153)) - sqrt(153))*-2*-3)\/(-1*sqrt(225) - sqrt(9) - 3*(2*sqrt(9) + sqrt(9))).\nAnswer: -2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 (base 7) in base 10?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78 and 390.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in sixty-one quarters of a meter?\nAnswer: 1525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13940 divided by 170.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/5 + 171*k**2\/5 - 69*k + 173\/5.\nAnswer: (k - 1)**2*(k + 173)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 4) + (-23 - -25).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 13*i**2 + 2*i - 1. Let g be b(1). Let u = 16 + -17. Let c be 21\/g - u\/2. Solve -c*y - 9 = 1 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 88 - 35. Let l = -53 + k. Which is greater: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -0.06.\nAnswer: -4.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 53332956, 106665917, 159998882, 213331851, 266664824?\n\"Answer: 2*k**2 + 53332955*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*r**5\/5 + 88*r**4\/5 + 138*r**3\/5 - 592*r**2\/5 - 70*r + 60 = 0. What is r?\nAnswer: -15\/2, -5, -1, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 4*w**2 - 3*w. Give r(-5).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6447393, -6447395, -6447397, -6447399?\n\"Answer: -2*t - 6447391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 168297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -624 divided by -13.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 423128063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (-7 + 3 + 1)) + 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45384 divided by 39683.\nAnswer: 45384\/39683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/(0 + -4) + -5. What is the least common multiple of 0 + 13 + (j - 2) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 1 - (72 + -10 + -25).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 199*m**8\/56 - 176*m**4\/3 - 41*m - 6. What is the third derivative of b(i) wrt i?\nAnswer: 23880*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -2*f + 811, 0*j + 1643 = 4*f + 5*j. List the prime factors of f.\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -74, -54, -8, 76, 210?\n\"Answer: 2*p**3 + p**2 + 3*p - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 2037.\nAnswer: 2037.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus 2561?\nAnswer: -2566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6110684 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(31 + -1))\/((-3)\/3)*-39\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x - 12 + 3589*x**2 - 3581*x**2 - x**3 + 11. Determine q(5).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**0*d\/d**(11\/4) assuming d is positive.\nAnswer: d**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 12*p**2 - 36*p + 299. Give k(13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**4\/7 - 6*q**3\/7 - 10*q**2\/7 + 6*q\/7 + 8\/7 = 0. Calculate q.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -975168 divided by -58\nAnswer: 487584\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**5\/60 - 77*i**3\/6 - 1144*i**2. Let q(c) = -3*c. Give t(q(h)).\nAnswer: -9*h**2 - 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 2942*o - 2941*o + 128, 0 = o + 6*l + 190 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 42*k + 53. Let q be h(15). Suppose 0 = -5*t - 5*r + 695, t = 6*t - r - q. Does 8 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/2 - (-5 - -2). Let n = -5 + r. What is the closest to n in 3\/5, -4\/3, -2\/7?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.094 times -17038.1\nAnswer: 1601.5814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.13 + 4.87. Let d = p + -5.2. Which is the closest to 0.2? (a) 3 (b) d (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qrqqdzrzrrrdzdr. What is prob of sequence zrr?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**2 - 197 + 387 - 6*q**2 - 83*q**4 - 188 + 6*q in the form f + j*q**4 + v*q + k*q**2 + s*q**3 and give j.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 59*a - 60. Calculate the smallest common multiple of x(6) and 32.\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -2*z + 646, -137 = -t - 5*z + 2*z. Suppose 2*l - t = g, 20*l - 22*l - 3*g = -128. Does 16 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k - 3. Let u be n(-2). What is the tens digit of -3 + (-3)\/(u\/42)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-546706)\/(-114)*(0 - -1) - (-3)\/9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28.1 - 28.1131. Round t to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 177100 - 39?\nAnswer: 1770a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, t: 13, i: 3, w: 1}. What is prob of picking 2 t?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 15, -1, -39, -99, -181?\n\"Answer: -11*d**2 + 17*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)*3)\/sqrt(7))\/((-2*sqrt(72))\/sqrt(6)).\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 7:41 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -144, -282, -418, -552, -684, -814, -942?\nAnswer: -1068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 31 - -192?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -299, 5\/16964?\nAnswer: -299","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-162*h + 14 + 0 + 164*h)*(-h**4 - 13*h**2 + 13*h**2).\nAnswer: -2*h**5 - 14*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.601 + 752.601. What is the smallest value in -2, z, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-14)\/4*4\/7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2100 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 118?\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -18259000 rounded to the nearest 100000?\nAnswer: -18300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 13117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44005761.\nAnswer: 3, 543281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10984700 - -7?\nAnswer: -109846a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -60, -33, 14, 87, 192, 335, 522?\nAnswer: 759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 9 (b) -6 (c) 1\/11 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1082 - 1082 + 603*f)*(-5*f + 4*f + 0*f)*(0 + 0 + 2)*(3 - 6 + 1) as u*f**2 + p*f + l and give u.\nAnswer: 2412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65 by 2.\nAnswer: -65\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/11 in -0.1, -3\/71, -0.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f. Let b(v) = 5*v + 3. Let r(o) = b(o) - 6*q(o). Calculate r(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-3\/2)*l)\/l*l*l**(-1\/12)*(l**(-4)\/l)\/l*((l**(2\/5)\/l)\/l)\/l assuming l is positive.\nAnswer: l**(-491\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eh when two letters picked without replacement from {i: 3, e: 1, j: 6, l: 2, h: 2, b: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21707969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -2\/15*f**5 + 0*f - 13*f**2 + 0 + 1\/15*f**6 + 0*f**4 + 0*f**3. Let n(b) = 3*b**3 - 3*b**2. Give -4*d(r) + 11*n(r).\nAnswer: r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2\/13, -0.9, -11, -4480.\nAnswer: -4480, -11, -0.9, -0.2, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -251*v**5\/60 - 12*v**4 - 845*v**2. What is the second derivative of w(n) wrt n?\nAnswer: -502","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + z. Let u be g(1). What is the third derivative of u*v**2 - 6*v**2 - 6*v**3 + 7*v**3 wrt v?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22233728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2767*q**2 - 12*q - 13. Let w be y(-2). Calculate the highest common divisor of 9 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5464486 to the power of 1\/2, to the nearest integer?\nAnswer: 2338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 40062 (base 7) to base 14\nAnswer: 3732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 202323.94 rounded to the nearest one hundred?\nAnswer: 202300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - 27. Let n be (-249)\/(-51) + (-4)\/c. Suppose 4*w - 2*v = v + 4795, -n*v - 5 = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 7*v**2 - 10*v - 51. Calculate k(9).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8*2)\/(-4))\/(-2). Suppose -5*k + 6*k = 3. Let l(p) = 4*p**k - 6*p**3 - 3*p**2 - p - 5 + 4. Calculate l(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -15. Let w(r) = r**3 - 4*r + 8. What is the tens digit of w(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in thirty-eight sevenths of a week?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y. Let x(m) be the second derivative of m**4\/8 + 2*m**2 + 3*m. Let s(i) be the first derivative of x(i). Calculate s(a(w)).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -v**3\/2 - 2*v. Let x be s(-6). Calculate the greatest common divisor of x and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/37 in 4, 1.7084, -5, -1\/8, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6536 and 3698.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 4:35 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 8 (b) 0 (c) -26 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -112647 times -0.07\nAnswer: 7885.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 140\/(-60)*(-6)\/7. Solve a + l = -0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1283 and 5005 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*d = 2567 - 98215. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7230 - 13741*u**3 + 4579*u**3 + 4581*u**3 + 4583*u**3 - 5*u**3 + 2*u**3 + u**3 + 2*u**3 + u**3 - u**3 + (3*u**2 - 6*u**2 + 4*u**2)*(u + u - u).\nAnswer: 3*u**3 - 7230","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17538669899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*96\/1080*5\/1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356 is divided by 91?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -632*j = -631*j - 17*y + 3*y - 36 - 45, 4*y + 75 = 5*j for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 3\/133?\nAnswer: 3\/133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3308 + -1022. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/27190 and -29\/309966.\nAnswer: 1549830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.2 take away 546211070?\nAnswer: -546211079.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1051, -2\/5, -0.5 in descending order.\nAnswer: 1051, -2\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.334628l?\nAnswer: 334.628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-28)\/(-21))\/(1\/3). Suppose -a*f = -f - 540. Suppose 4*l = -l + f. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 0.3, 2019, -3\/854?\nAnswer: -3\/854","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and 17971.\nAnswer: 17971.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -143?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 - 31. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 4:01 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (31 - 11) + (-4)\/(-2). Let y = -20 + s. Suppose -d + 5 = -2*p, -d - 4*p = y*d - 45. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5989785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 179366*p. Let o(n) = -22*n**2. Determine z(o(a)).\nAnswer: -3946052*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (170\/18105)\/(5*(-62)\/465)?\nAnswer: -1\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 930334001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v - 46*v - 7288 = -7180 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*v - 30150 = 8*v. List the prime factors of v.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*s + 14 = -111. Suppose 4 = -37*z + 35*z. Let u(b) = 13*b. Let l(r) = 6*r. Determine s*l(v) + z*u(v).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 87.025 + -87. Round f to three dps.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/40 and 2\/6 - (1 - (-1165)\/(-150)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 6*f - 3. Let u(b) = -b**3 - 5*b**2 - 5*b - 2. Let m be u(-3). Let t = m + 17. Suppose t = -4*y, -5*a - 30 = 2*y + 6. What is s(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1494\/12)\/(3\/4). Suppose y = 5*q - 4. Let b = q + -33. Solve 2 + b = 3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21989 is divided by 5494.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1122?\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.1 + -0.6. What is the biggest value in w, 2\/3, -1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + 135 - 91 - 16.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-5*(sqrt(5) - sqrt(80))*-5.\nAnswer: -150*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11115 is divided by 2218?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*j - 11*j + 54*j + 74*j + 88*j.\nAnswer: 182*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58951289.99621 + 58951941. Let s = 651 - m. Round s to four dps.\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5095 + -0.0095. What is the fourth biggest value in i, 0.2, 2\/9, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 2*p - 7, -5*o = p - 10 - 25. Suppose -28 = 12*z - 16*z. What is the remainder when -7*(3 + (-31)\/z) is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-20276)\/3996 - 10\/4*-2).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33075214957271 - 0.4.\nAnswer: 33075214957270.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(1\/8)\/i)**(-40)\/(((((i*i*i**10)\/i)\/i)\/i*i)\/i**(-3\/7)) assuming i is positive.\nAnswer: i**(-108\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 5 + 34*f + 5 + (-4*f - 4*f + 6*f)*(-14 - 14 + 35) in the form q + t*f and give t.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/2*v**3 + 185\/2*v + 25*v**2 + 65.\nAnswer: -5*(v - 13)*(v + 1)*(v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 50 + 53 = -2*p - 2*j, 0 = -p - 65*j + 192 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vtt when three letters picked without replacement from {v: 1, p: 4, t: 2, b: 1, o: 1}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1080)\/sqrt(2))\/(sqrt(18)\/(-2*sqrt(6))).\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - -4*sqrt(77)*2) + (-5*-3*sqrt(77) - sqrt(77)))\/((sqrt(175)\/sqrt(5)*-2)\/(-1*sqrt(5)*-5)).\nAnswer: -115*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -4, -0.2, -16, 1\/13 in increasing order.\nAnswer: -16, -4, -0.2, 1\/13, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 804?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 281 + 491. Let i = j + -427. Suppose 5*g = 5*k + 24 - 359, 5*k = 3*g + i. Is 10 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.12 and 193583.\nAnswer: -23229.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.059 - 0.901. Let m = 0.04 - d. Which is the closest to 1? (a) -1\/5 (b) 0.2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*q = -125*q - 777. Suppose -3*z = 3*a - 675, -z = 4*a + 31 - q. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/9, 1, -0.3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 520\/9 - 58. Let x be (2\/(-4))\/((-9)\/(-6)). Put 2, x, d in increasing order.\nAnswer: x, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1300) + -3) - sqrt(1300) - -6*(-3 + sqrt(1300)))**2.\nAnswer: -120*sqrt(13) + 1336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -328.4 and -7.68?\nAnswer: 320.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48 - 45. Which is smaller: v or 30\/13?\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 106 + -109. Let n be (-5 - i\/1)*15\/(-10). Solve -7 = -2*r + b, -2*b + 3*b - 18 = -n*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j - 8. Let s be a(6). Let c(u) = 0*u - 4 + 0 + 13*u - 9*u + 2. What is c(s)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 593977, 593976, 593983, 594004, 594045, 594112, 594211, 594348?\nAnswer: 594529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -22984\/5 and -4597 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f**2 + 178*f + 280. Let i(k) = -k**2 + 63*k + 93. Give 17*i(l) - 6*z(l).\nAnswer: l**2 + 3*l - 99","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/19 in 0.5, 0.3, 24?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 593090?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2370425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*((sqrt(110) - -1*sqrt(110))*6 - (sqrt(110) + 1*1*sqrt(110))))\/(2*sqrt(1000)*-4 + (sqrt(1000) - (sqrt(1000) + sqrt(1000)*1)*-3)))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/4)\/(18755\/1364).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 40? (a) -3 (b) -5 (c) 0.4 (d) 1 (e) -22 (f) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 74718554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + x + 5*c - 380 = 0, -2*x - c + 265 = 0. Does 21 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bcgg when four letters picked without replacement from {v: 3, b: 1, c: 2, n: 2, g: 3, d: 3}?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17218 - -17214. Is i less than -927?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 1\/7 (b) -1\/8 (c) 3 (d) 2.63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107 divided by 6.\nAnswer: 107\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-177)\/(-6) - (-3)\/(-2). Let n be 160541\/(-24) + k\/(-42). Let s = n - -6701. Find the common denominator of 3\/20 and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - 276.445047.\nAnswer: -276.445047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - z = -1024 + 1013, -5*m - 30 = -5*z for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10182 = 117*v - 7374 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-31 + -63 + 106) - (-3 + 2 - -23)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 + c + 0*c - 4)*(-566 + 566 + 52*c) + (-4 + 4 - 2*c)*(c + c - c) to p*c + g + k*c**2 and give p.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 - -0.2. Let l(x) = -x**3 + 7*x**2 - 6*x - 2. Let p be l(6). Let m = -8.3 + 8. What is the closest to b in p, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 75760237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, -1, 0.2, 58.8, -0.1, 0.065?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 14*c + 5. Is ((-4)\/(-16))\/(c\/(-1108))*10 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133)*2*6 + -3*(2*sqrt(133) - sqrt(133)))\/((sqrt(42) + (sqrt(336) + sqrt(336) + sqrt(336)*-2)\/sqrt(8))\/(5*2*sqrt(6))))**2.\nAnswer: 153900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 69\/12 + 1\/4. Find the third derivative of 116*d**3 + d**2 + w*d - 29*d**3 - 63*d**3 wrt d.\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 + 11 + 11)*(1 - 1 - w)*(-5*w - 3*w**3 + 5*w) to y*w + r*w**2 + m + x*w**4 + u*w**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.047 (b) -0.3 (c) 3 (d) -3\/34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -403, -405, -407, -409, -411, -413?\nAnswer: -415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 70 = 4*v, 296*v + h + 80 = 282*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 28 = -2*t. Suppose 0*d + t*d = 4*f - 64, 4*f = -5*d + 55. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 137 + 13. Let v be 1752\/u*(-70)\/(-28). Which is smaller: v or 147?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - -2028695267.1871?\nAnswer: 2028695267.3871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 635.\nAnswer: 3810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -22*i - 27. Let o(p) = 9*p + 14. Determine -5*o(m) - 2*z(m).\nAnswer: -m - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9714*f - 3*w = 9710*f - 25, -12*f - 2*w - 79 = -7*w for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 2*f + 3*f)*(3*f - 4*f + 3*f)*(23 + 4 - 14).\nAnswer: 26*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27075.8 + -29917. What is x rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*o + 4. Suppose 0 = -3*h + 4*w - 11 + 37, 5*w + 17 = -4*h. Suppose 39 = 3*i + 3*b, -3*b = -o*i + h*b + 25. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.6 + -1.4. Suppose 0 = -f + t - 5, 0*f + 3*f + 13 = t. Let d = -65\/2 - -32. Which is the nearest to d? (a) -3 (b) f (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7195.959ng to tonnes.\nAnswer: 0.000000000007195959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + 2 - 4) + 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 35260777.\nAnswer: -4\/35260777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1476 + 1477. Which is the third smallest value? (a) -2 (b) s (c) 150\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 195414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 8*u**2 + 7*u + 2. Let d be c(7). Suppose -4*b + d*b = -20. Calculate the remainder when 18 is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7275 - 7392 - (-146 + 0).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*m = -12, -d + 5*m = -32. Solve -4*b = 2*i + d, -5*i - 2*b - 8 = 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1807 divided by 4\nAnswer: 1807\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -p**7\/945 + p**6\/135 - p**5\/45 + p**4\/27 - p**3\/27 - p**2\/2 + p. Let k(n) be the first derivative of c(n). Factor k(s).\nAnswer: -2*(s - 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c + 3073 - 7128 = 4657. Suppose -6*u + 21 = -3. What is the greatest common factor of c and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 0 - 1\/70*z**5 + 0*z**3 - 1\/70*z**6 + 2*z**2 + 0*z**4 + 0*z - 1\/245*z**7. Solve f(t) = 0 for t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/87509 or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + 3 - 11) + (8 - 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -14*o**2 - o. Let m(d) = 2*d**2 + 10*d. Let j(w) = -4*w**2 - 16*w. Let t(f) = -5*j(f) - 8*m(f). What is t(p(c))?\nAnswer: 784*c**4 + 112*c**3 + 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5419 and 14122.\nAnswer: -7652.7118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4777*r**2 + 2139*r**2 + 2364*r**2.\nAnswer: -274*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = m, -5*m = -5*z + 10. Let l(q) be the first derivative of 0*q**2 + 1\/4*q**4 - 1\/3*q**3 + 0*q + z. Find the third derivative of l(b) wrt b.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 18 = 2*g - 16, 78 = 4*g + 5*c. Let r = 82 - g. Suppose -5*l + k = -r, l - k - 21 = k. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - -358)\/(6\/(-18) + 10\/15). What is the highest common divisor of 72 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5*v + 19 + 9 = 0, -5*a + 3*v + 22 = 0. Suppose -5*f - 33*f = -f - 74. Solve -3*h = -4*l - 7 + 1, a*l + h - f = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10481?\nAnswer: 47, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0 - 11)*4\/10)\/((-136)\/680).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*s + 4, 0*s = 4*s - 5*q - 26. Solve 30 = 3*n + 5*t, -4 = -s*n - 4*t + 28 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + j)*(-1 - 1 + 1) + (-4 - 4 + 3)*(43*j - 18*j - 114*j).\nAnswer: 444*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**2\/6 + 13679*b + 82075\/6 = 0.\nAnswer: -1, 82075","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 131508.32111 + -131509. Let h = t - -2068.18889. Let x = 2076 - h. What is x rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1497 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*p + 43*p = -1755. What is the greatest common factor of p and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -8185485.\nAnswer: -8185485.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 21*b**3 + b - 4. Let u(v) = -20*v**3 - 2*v + 5. What is -4*n(w) - 3*u(w)?\nAnswer: -24*w**3 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.6, -1\/6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*k**2 - 14*k**2 + 51*k**2 + (3*k - k**2 - 3*k)*(-1 + 0 - 1) + 2*k**2 + 0*k**2 - k**2 + 24*k**2 - 57*k**2 + 32*k**2 - 106*k.\nAnswer: 23*k**2 - 106*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 7*a + 12. Let j be x(-8). Let o = -18 - j. List the prime factors of o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffulxdqdq. Give prob of picking 1 f and 3 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8.6 in 0.3, -523, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6171 and 6171?\nAnswer: 6171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182967604?\nAnswer: 2, 45741901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -4 + (sqrt(243) + 2 + 3 + sqrt(243) + sqrt(243))**2 + sqrt(243) - (2 + (5 + (sqrt(243) - (-1 + sqrt(243))) + -4)**2).\nAnswer: 279*sqrt(3) + 2207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*y + 21*y + 0*y in the form m*y + r and give m.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1855 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 at least as big as -146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 - 30 - (0 + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*x + 61*x = -904 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 424, 889, 1354?\nAnswer: 1819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 8:16 AM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -14. What is the lowest common multiple of p and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*3\/9*((-189)\/36)\/((-1)\/(-2)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0155573 + -3.8845187. Let x = 3.9 + c. What is x rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -6*d**2 + d + 3. Let t be x(3). Let p = 70 + t. Suppose 17*q - p*q = -30. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 3 + 5*g**3 + 5 - 16*g + 8*g**3 + 0*g to n*g**3 + s*g + z + j*g**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10425, 40936, 91573, 162336?\n\"Answer: 10063*s**2 + 322*s + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 24 - 15*h + h - 2*h.\nAnswer: -16*h + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 3*i + i)*(0 - i**2 + 0) + (-8*i**2 + 0*i**2 + 0*i**2)*(2*i - 2 + 2).\nAnswer: -17*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * 1507.\nAnswer: 12056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((30\/(-28))\/1)\/(2256\/28952)*-4\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 31\/((-2)\/(4\/(-2))). Suppose -5*n = q - 49, n - q = -2*n + p. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -62 - -409. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 29 = -c, 3*t = -t - 4. Suppose 0 = -3*q - 0*q + c. Suppose -2 + q = 2*j. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -6 - 2\/3*y**3 - y**2 + 0*y. Find a such that o(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -648*c = 15119 + 14855 + 5018 for c.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2124137 and 1055?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 47472 + 8498.1724.\nAnswer: 55970.1724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1251716 is divided by 139?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 160 = 2*l, -65*m = -l - 61*m - 160 - 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11\/3 or -2309?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhmvhmhhhhhh. What is prob of picking 1 m and 1 h?\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.48157 rounded to 2 dps?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 + 4605381*x**2 + 4605384*x.\nAnswer: -3*x*(x - 1535128)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9253 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1166*v + 1172*v = 1332. Calculate the remainder when v is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/5)\/s)**(-12)\/(s**(-15)*(s\/s**(-3))\/s) assuming s is positive.\nAnswer: s**(108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m*m**(6\/19)))*m**19)\/(m*m\/m**(-24)*m**(-7)) assuming m is positive.\nAnswer: m**(25\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qccqcqccqcqc. Give prob of sequence cq.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-3\/2)*t)\/t)\/(t\/(t*t**(-3\/28)\/t)))**(-4\/35) assuming t is positive.\nAnswer: t**(9\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 479047, 479051, 479057, 479065, 479075, 479087, 479101?\nAnswer: 479117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*a - 2, 3*a = 5*k - 12. Suppose -3*y = k*z - 3735, 5*y + 2*z - 2225 - 3994 = 0. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*m - 24 = -4*m, 0 = -2*w + 5*m + 30. Let d = 41 - w. Solve d = -4*t + 5*u, -2*t - u - 2 = 5 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 940 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27171300 and 5434260.\nAnswer: 27171300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -368389, -368390, -368391?\n\"Answer: -i - 368388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((9\/15)\/1)*(-114)\/76.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 17\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 592428 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*l - 637 = -502 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 8870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of z**4 + 2*z - 2. Find the first derivative of a(x) wrt x.\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1219 by -2.\nAnswer: -1219\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 964, 962, 946, 910, 848, 754, 622, 446?\n\"Answer: -a**3 - a**2 + 8*a + 958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from macbmaaccraagaacg. Give prob of sequence aa.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2 - 3*r - 27. Let l(b) = -2*b**2 + 4*b + 27. Let q(z) = -5*l(z) - 4*m(z). Let o be q(8). Suppose -4*u - o + 325 = 0. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*q - 16 = -139*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 45\/2 of a second?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-10)*18\/9*-5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 14*w**3 - 14*w**2 - 21*w + 1. Let j be d(7). Suppose -5*x + p = -9969, 0 = -8*x + 6*x - 4*p + j. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(-17)*(-26)\/32. Let f = b - -96\/17. Find the common denominator of f and (92\/80 - 2)*(-10)\/(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*l**5*u + 14*l**5 - 31*l**2 + 7*u wrt l.\nAnswer: -240*l**2*u + 840*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1448.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express u**2 + 4*u - 2*u - 2*u + 23 in the form n*u**2 + o*u + q and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 841, 1041, 1241, 1441, 1641?\nAnswer: 1841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**2 - 2*q**2 - 2*q**2 + (7*q - 2*q - q)*(q - 3*q + q).\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 738*b - 32 = -737*b, 0 = -5*w + b + 22 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25116 divided by 6.\nAnswer: 4186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 1464*c**2 - 52. Let a(y) = 79*y. Give u(a(o)).\nAnswer: 9136824*o**2 - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -2. Let q = 62 - 63. Which is the second biggest value? (a) o (b) q (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1017792700 to the power of 1\/3, to the nearest integer?\nAnswer: 1006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1539 - -1550. What is the least common multiple of 149 and z?\nAnswer: 1639","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 157 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: What is 1820 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -2. Let n(z) = m - 2 - z**2 - 9*z + 1. What is the remainder when n(-7) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/6)\/((8*8\/(-80))\/1)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 389151466 and 4135.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.3, 68, -0.2, 0.11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 134682859 to the power of 1\/2, to the nearest integer?\nAnswer: 11605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 1324?\nAnswer: 1329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*((-10)\/(-5) - 0) - 45. Let o = u + 47. What is the smallest common multiple of o and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 1012*n - 2084. Let b be x(2). Which is smaller: -83 or b?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13384 and 2310.\nAnswer: 2208360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -w**2\/2 - 7. Let j(t) = 2*t. Determine j(q(y)).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 12:21 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 181485053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 2 + 1. Suppose -3*l + 9 = 3, -q - 6 = -m*l. Suppose q = o + 2*b + 4, 0 = 3*b - 0*b + 6. Solve o = -3*d + d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3\/2 - 31*k**2\/2 - 4*k + 10.\nAnswer: -(k + 1)*(k + 10)*(3*k - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61 - 6. Is d <= 54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by -519154.\nAnswer: -19\/519154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x - 18. Suppose 0 = 4*r - 3*r + 10. Let n be v(r). Let o = 13 + -5. Solve 0 = n*w + o for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128 - 162*p + 357*p - 194*p.\nAnswer: p - 128","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27317 and 413.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iqww when four letters picked without replacement from {q: 5, i: 4, w: 2}.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331)*3 - sqrt(11)) + (sqrt(704) - (sqrt(704) + 1 + sqrt(704))**2).\nAnswer: -2817 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.73864 to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 1434 + 7730 = 3*q, -3*q + 2*o = -6308. Round q to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p = 58*p - 380908 + 43316. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 5*b - 7864 = -7904, 3*w - b = 24 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 71?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 2*n**2 - 3*n - 1. Let g be s(-4). Let c = -9 - g. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -648960, -648998, -649036?\n\"Answer: -38*p - 648922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -44*q + 1013. Let n(g) = 25*g**2. Calculate c(n(v)).\nAnswer: -1100*v**2 + 1013","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111000011010 + 100000111100?\nAnswer: -10111011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + sqrt(432)*-1 + sqrt(432))**2 + sqrt(3) + (sqrt(33)\/sqrt(539))**2.\nAnswer: sqrt(3) + 21171\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 5, 0.2, 3, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 940166512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 - -28. Let n = -14 - -16. Suppose 78 = 25*q - 22. Put q, -5, n, v in descending order.\nAnswer: v, q, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 + 2058*y - 3110923.\nAnswer: (y - 1013)*(y + 3071)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -4*o + 34, -6*o + 3*o + 2*s + 22 = 0. Let n = 11 + -5. What is the smallest common multiple of o and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2013022 is divided by 616.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at least as big as 13381\/2200?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 510*b**3 + 8*b**2 - 3. Let u(k) = 511*k**3 + 5*k**2 - 2. Calculate 3*u(n) - 2*x(n).\nAnswer: 513*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 676*m - 680*m + 31, 5*g = -m + 29 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.507771 centimeters to millimeters.\nAnswer: 65.07771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-180)\/(-4 + 15\/5).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -686\/1565 + 12\/313. Which is the third smallest value? (a) h (b) -0.052 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + 28\/21*(-9)\/(-4). Is 0.4 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 56 = 194. Let c = 24 - v. Let m = -0.5 + 0. What is the second biggest value in c, m, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1497076 and 122428?\nAnswer: 360795316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20631 and -0.1?\nAnswer: 2063.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 34*k - 3. Determine a(11).\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2)*(-c + 0 + 0) - 22797 + 22797 - 12*c.\nAnswer: -11*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/7))**(-49))**(-39) assuming q is positive.\nAnswer: q**(-546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*n + 5*m - 42, -110*m + 7993 - 15381 = -5*n - 8033 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 138593903 and 21?\nAnswer: 415781709","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**3 + 2*c**2 + 16*c - 50. What is o(3)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(1\/((-1)\/(-1)))*4385\/8770.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 5*i**2 + 3*i. Let h be c(4). Let v(k) = k**2 - 6*k - 3. Is v(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 2*g - 3*g)*(154*g - 114*g + 220*g).\nAnswer: -1820*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -99 + 157. Suppose -126*u - c = -128*u. What is the remainder when 112 is divided by u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -1707*h - 21. Let a(z) = -4266*z - 52. What is 5*a(u) - 12*k(u)?\nAnswer: -846*u - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 582 and 7760?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*u - 25 = 0, u + 20 = n - 3*u. Suppose n = -b - 65 + 83. Calculate the least common multiple of b and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 2*q + 7, -3*q + 1 = 2*y + 15. Let s(a) = 2*a + 1. Let h be s(y). What is the units digit of (12\/(-3) + -1)*h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9, e: 8, g: 2}. What is prob of sequence ee?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 54.12 + -0.12. Let y = l - 59.2. Let p = -5 - y. Which is the second biggest value? (a) -0.3 (b) -0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 8\/2 - (-440)\/154.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/63 - (3 + 55\/(-15)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -9*q - 91. Give m(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**4\/3 + 32*a**3\/3 - 88*a**2 = 0?\nAnswer: -22, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 378 - 378.513. Let r = g - -0.25. What is r rounded to 2 decimal places?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19712 and 1024?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 8 = -0. Suppose 4*f - 24 - 31 = -r, 4*f - 256 = -i*r. Calculate the remainder when r is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5620, -16298, -26976, -37654, -48332, -59010?\n\"Answer: -10678*z + 5058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 + 27 = 26*m. Let a(l) be the first derivative of 5\/3*l**m + 3 + 0*l**2 + 0*l. Let p(f) = 2*f**2. What is a(p(s))?\nAnswer: 20*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-9)*o**(-21) assuming o is positive.\nAnswer: o**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 3. Suppose -4*i + 12 = 4*g, g = i + n*i + 11. Let u(o) = o**3 - 4*o**2 - 3*o - 6. Let w be u(g). Solve 0 = -w*r - 4*y + 4, 3*y = 4*r - 25 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 1268876\nAnswer: -3\/634438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001349474 rounded to six decimal places?\nAnswer: 0.000135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 2.562753 millimeters?\nAnswer: 0.000002562753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 331*b + 329*b - 6 = 0, 1 = -3*l - 4*b. Let p(a) = -a + 1. Let k(c) = 4*c - 5. Let r(h) = 2*k(h) + 9*p(h). Give r(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177005828 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1491552 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 147 + -149.1. Sort 0, a, 5, 0.1 in ascending order.\nAnswer: a, 0, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-736)\/576 + (-2)\/9\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5006196 and 11856.\nAnswer: 20024784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -3*p**2\/4 + 855*p - 243675 = 0.\nAnswer: 570","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/((-64)\/40) + 2. Calculate the least common multiple of 24 + x\/(-2)*112\/(-42) and 316.\nAnswer: 1580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - 8 - (13 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 4*b)*(-3*b**3 + 5*b**3 - b**3) + (-b**2 + 2*b**2 + 0*b**2)*(b - 4 + 4)*(0*b + b + 3*b).\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -10. Let h = f + -11. Let s be (-4)\/(4\/(-9)) - h. Which is greater: s or 6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37700 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - f = -19, 385*m - 770*m + 17 = -381*m + 3*f for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2301 - -719. Let l = n - -3222. Suppose l = -5*m + 11875. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 21689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*s + 31*s - 5655 = 55*s for s.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*37\/((-777)\/(-147)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23.5 in -1\/7, -34, -354.4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 239, 225, 193, 137, 51, -71, -235?\n\"Answer: -c**3 - 3*c**2 + 2*c + 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13227 - -25678. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -10*s + 7. Let v(h) = 7*h - 5. Let i(j) = 5*c(j) + 7*v(j). Let w(t) be the third derivative of t**5\/10 - t**4\/8 - 945*t**2. What is i(w(g))?\nAnswer: -6*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -92*q**4 - 2*q**3\/3 - 2*q**2 - 182. Find the third derivative of r(s) wrt s.\nAnswer: -2208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.08 + -0.08. Let t = 1 + a. Let b be (2 - 1)*1\/4. Put -1\/2, b, t in decreasing order.\nAnswer: t, b, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*p = -6, -5*p - 2 + 0 = -l. Suppose 0 = 5*k - 25, -c + l*k - 11 = -2*c. Let y(x) = -18*x**2 + x. Give y(c).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 1. Let n = g + 8. Calculate the least common multiple of n and 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48 - -14. Calculate the remainder when a is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2079355?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 98.3, -4, -3 in increasing order.\nAnswer: -4, -3, 98.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r + 1. Let t be x(-4). Let f be (-1)\/t + 45\/100. Which is the closest to f? (a) 0.1 (b) 4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of v**6\/40 - 15*v**2. Let j be d(1). Let b(s) = -6 + 2*s**2 + j + 1 - 4*s**3. Let z(o) = o**3. Determine b(y) + 6*z(y).\nAnswer: 2*y**3 + 2*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2011 - -3116. Is 1107 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-2)*120\/(-9). Let z be (24\/d)\/(6\/40). Let s be 540\/(-16)*z*2. What is s rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/4 + (-4 - -5)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*v + 739 - 106 = 67*v + 138 for v.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 - 9 - 12)*((-3 - 2*r**2 + 3)*(-3 - 4 + 1)*(2 - 3*r - 2) + (-2 + 1 - 1)*(-2*r**3 - r**3 + r**3)).\nAnswer: -96*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**2 + 14*h - 15. Let x be u(3). Suppose -6*y + 63 = x. Which is the closest to y? (a) -1\/6 (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 28 - (12 - (19 - 20)) - -1?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1231\/45 - -139\/5. Let p = 82 + -81.9. What is the third biggest value in p, 1\/2, v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-4))\/(2\/4). Let k be s\/(-1 - (-1)\/(-1)). Which is greater: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/28 + -2\/7. Which is the nearest to h? (a) 3 (b) -3\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 291, 256, 197, 114, 7, -124?\n\"Answer: -12*u**2 + u + 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 533787.80102 + -533898.8. Let n = 113.45 + -2.45. Let f = n + t. Round f to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 f when three letters picked without replacement from {c: 7, f: 3}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 7840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 3*l + 15, -3*v + 4*l + 12 = 25. Let z be 1 - (4 + -6 - v). Solve z*k - k + 3 = 0, 4*k + 4 = -4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 811 - -3.01864?\nAnswer: 814.01864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 14 = -c. Sort 2, c, 1 in increasing order.\nAnswer: 1, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/8 + (500\/(-175) - (-4)\/(-28))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 0, 1, -0.1, -1\/129648?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 5) in base 8?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-2 + 400\/195). Let s = 49 - x. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4234152 less than 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243 = 118*f + 124 + 577 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -498*d + 501*d - 103 = 4*c, d = 5*c + 115 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**2 - 125*f + 580 = 0 for f.\nAnswer: -29, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1131242 (base 5) to base 11.\nAnswer: 1470a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0 (b) 5 (c) 1.67 (d) 3\/38 (e) -87 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x - 8*x + 11*x - 16 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-2) - (-10)\/20 - 3\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.168 - -0.168. Which is the fourth smallest value? (a) s (b) -2 (c) 3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + -472)\/((-4)\/10). Suppose c = 5*l - 2*l. Suppose -4*x = x - l. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 462*w**3 + 456*w**3 - 919*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.71462 and -5.\nAnswer: -7.71462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at least 2921?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(2)*-2 + 2 + sqrt(6)\/(sqrt(33)\/(sqrt(11) + sqrt(539))).\nAnswer: 2 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*o = 139*o - w - 251, -3*w - 33 = 3*o for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-16)\/14)\/((-2)\/7). Suppose 288 = 3*o - 0*o - 3*z, -99 = -o + s*z. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 12461, 24724, 36985, 49244, 61501?\n\"Answer: -w**2 + 12266*w + 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (6695\/(-910))\/((-27)\/21) and -137\/540.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7831, -15659, -23489, -31321, -39155, -46991, -54829?\nAnswer: -62669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108680.\nAnswer: 2, 5, 11, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of y**4\/12 + 7*y**3\/6 + 4*y**2 + 4*y. Let o be k(-6). Suppose -4*i = -o*i - 36. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3624503401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 164531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3131805 to the power of 1\/2, to the nearest integer?\nAnswer: 1770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -61\/171 + 4\/171. What is the third smallest value in 2, -0.04, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n - 1. Suppose -2*r = -r + 3. Let u be a(r). Suppose -26 = -o - o - j, 0 = 4*o + u*j - 52. 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 prob of picking 1 y, 1 a, and 2 z when four letters picked without replacement from {g: 3, a: 3, o: 2, r: 2, y: 1, z: 3}?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(684) + 5.\nAnswer: 5 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -6580143?\nAnswer: -6580147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/83, 0.2, 8, 4\/7, -26, -2, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8008*w**3*x**3 + 53*w**3 + 5*w*x**3 + 29*x**3 + 461*x**2 wrt w?\nAnswer: 48048*w*x**3 + 318*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.4, 5830, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 403 = -4*c + 4567, -c + d + 1246 = 0. Is 16 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1718 (b) 0 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 82, -2\/21.\nAnswer: -2\/21, 2, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, 1.8, 3\/4, -18\/7?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/3 - 1810844\/(-6). Let n be g\/(-1360) - (-1)\/(-5). Let j = -222 - n. Which is the biggest value? (a) 0.4 (b) j (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22106833 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2*(5 + 105\/(-6)) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5a7a - -3?\nAnswer: -5a77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -p**4\/4 + 2*p**3 + 3*p**2\/2 - 9*p - 37. Let d be k(6). Let a(s) = -2*s**2 + 20*s - 13. Calculate a(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 49 and 105?\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 21.53 - -0.5\nAnswer: 22.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 888\/(-126) - 33\/693.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - p**2 - 18. Let y be o(0). Calculate the remainder when 5 is divided by ((-5)\/15)\/(2\/y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*3*1*sqrt(77))\/(sqrt(99)\/(sqrt(720)\/sqrt(5))).\nAnswer: 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 7*w**2 - 5*w + 7. Calculate the least common multiple of m(5) and 14.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 751 is divided by 149.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*z - 1)*(-17 - 28 + 68).\nAnswer: 46*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -121 - -124. Let b(j) = -j**3 - 4*j**2 - 2*j + 1. Let s be b(-4). Suppose 0 = -s*r + a*r + 210. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*w - 5. Let z(l) = 12*l - 49. Let d be z(w). Suppose 0 = -2*r + 6*r - 484. What is the greatest common factor of r and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*v - v**3 + 26*v + 121 - 79*v + 25*v + v**2 in the form z*v**3 + a*v + u*v**2 + h and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 265, 1, -104697 in decreasing order.\nAnswer: 265, 1, -104697","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -2\/553 (c) -0.093\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4080258 divided by 2040129\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 65\/7 + -9 - (-6)\/(-14). Let t be (0 - 0) + 5 - 1. Which is the third biggest value? (a) s (b) t (c) -15.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(171))*-1 + -3)**2.\nAnswer: 6*sqrt(19) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 915204 divided by -228801\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 711531141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 8*t**2 - 6*t + 7. Let p = -26 + 19. Calculate h(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37 + 40. Suppose -6*p + 48 = -i*p. Calculate the least common multiple of 18 and p.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.04 (b) 0.1 (c) -2 (d) 2\/191 (e) 60 (f) -3\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40913, -40912, -40911?\nAnswer: -40910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/2)*z)**(2\/9)*z**(8\/3)\/(z**(-2\/11)\/z) assuming z is positive.\nAnswer: z**(46\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 6:39 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4438 + -3?\nAnswer: -443b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 3. Suppose 0 = -3*g + 2*f - 3*f - 7, 5*g + 6 = n*f. Let w be 0 - 2\/(-4)*-1. Which is smaller: w or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3 = -22, 0 = -p + 3*v + 6. Suppose b = q - 0*b - 15, -q - 5*b + p = 0. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiooii. What is prob of picking 2 i and 2 o?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0117 * -5.\nAnswer: -0.0585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-12)\/h*h)**(-24\/7)*(h\/(h*h*h*(h**(-27)*h)\/h)*h)\/(h\/(h\/(h*h*h*h**(-14))*h)) assuming h is positive.\nAnswer: h**(554\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 119159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 19*u**3 - 4*u**2 + 4*u. Let b(y) = -37*y**3 + 9*y**2 - 9*y. Determine -4*b(r) - 9*w(r).\nAnswer: -23*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**4\/5 + 176248*m**3 + 4406156*m**2\/5 + 2643672*m\/5 - 1586214 = 0. Calculate m.\nAnswer: -440615, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1106350 (b) 0.2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -1892*v + 3. Is y(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -28*(0 + 2\/(-4)). Let u(b) = 0 + 0 - b + m*b**2 - 5 - 4. Is u(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.18? (a) 2\/7 (b) -2 (c) 5\/4 (d) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 c when three letters picked without replacement from {c: 3, d: 5}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a century in years?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 524653970 and 60?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200268?\nAnswer: 2, 3, 5563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -4*i - 9. Let m = -3141.3 + 3141. Which is the third biggest value? (a) m (b) -1\/4 (c) i (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 433289.\nAnswer: 29, 67, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -12, -9 in decreasing order.\nAnswer: -4, -9, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 102494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002462905 to six dps.\nAnswer: -0.000246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339196802.\nAnswer: 2, 7, 24228343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*v**3 + 128*v**3 + 169*v**3 - 631*v**3 + 113*v**3 + 145*v**3.\nAnswer: 52*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - ((-246)\/42 - 2)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 112*v - 51707 - 159077. What are the prime factors of v?\nAnswer: 2, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -5. Let h be k + -3 - 1*-3. Suppose h*c - 4 = 11. Solve t + 2*t + c*s = 21, 3*t + 2*s = 18 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5*z**3 + 4*z**2 + 2*z - 3. Let u be j(-1). Which is the third smallest value? (a) u (b) 1 (c) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15388\/4*(4 - 1)\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - 172\/26 - (10 + -6). Let u = h - -1085\/52. What is the common denominator of u and 57\/32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 13*p = -27, -1699*o - 42 = -1693*o - 2*p for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -93 + 112. Which is bigger: 20 or p?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**5 - 19*i**4 - 45*i**3 + 35*i**2 + 42*i - 16 = 0. Calculate i.\nAnswer: -2, -1, 1\/3, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(6\/11)*s)\/s)\/s**(-4)*(s*s**(-2\/3)*s*s)\/s**(-1\/4)*(s**3\/s**(-4))\/(s*s\/(s**(2\/5)\/s*s))**18 assuming s is positive.\nAnswer: s**(-9023\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2024*z + 3247. What is the ten thousands digit of f(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -300*u**2 - 15*u + 35. Let a = -352 - -341. Let k be w(a). Round k to the nearest 1000.\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2256, 2259, 2272, 2301, 2352, 2431, 2544, 2697?\nAnswer: 2896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6942, -12673, -15970, -15615, -10390, 923?\nAnswer: 19542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**4\/7 - 625*u**3\/7 - 96714*u**2\/7 + 42076*u - 197192\/7 = 0. What is u?\nAnswer: -314, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53 - -53. What is the closest to x in -48, -4, 3\/7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90, -80, -80, -96, -134?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5 + (sqrt(9)\/sqrt(3))**2 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5648624 micrograms to kilograms.\nAnswer: 0.0000000005648624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -1714*v**6\/15 + v**5\/20 + v**4\/12 - 1775*v**3 - 11274*v. What is the third derivative of i(w) wrt w?\nAnswer: -82272*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.06284 + 0.06281041. Round x to six dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u - 21. Let m be s(-6). Suppose -m*j + 442 = 2*f + 3*f, -3*f = 5*j - 262. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 29 = -3*j - 3*w, 0 = -3*w - 12. Which is the closest to 2\/3? (a) 2 (b) -0.7 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6, -37, 4, 2, 0, -2134.\nAnswer: -2134, -37, -6, -3, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from flddfqr. Give prob of picking 1 d, 1 q, 1 l, and 1 r.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 9 (b) 0.5 (c) -4 (d) 22 (e) -0.13 (f) -6 (g) 18\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(55*p + 28*p + 81*p).\nAnswer: -164*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 2:37 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = 18 + 6. Let h(o) = 3*o**3 - 2*o**2 - 15*o - 7. Let l(y) = y**3 - y**2 - 7*y - 3. What is i*h(w) - 7*l(w)?\nAnswer: 2*w**3 + w**2 + 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4396786?\nAnswer: 2, 547, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -137*y**3 + 3*y**2 + 5*y + 6. Does 12 divide z(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -241 - -227. What is the third smallest value in 0.4, -3, 1\/4, j?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 29?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3973 + -2888. Is 39 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/133 + 275\/1197. Sort 1, -1, y.\nAnswer: -1, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a microsecond in nanoseconds?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 45\/342*(-56 - -54)*(-4)\/(-10). Let n be (-4)\/(-10) + 84\/15. Let t = 10 - n. Which is the nearest to v? (a) 1\/3 (b) 2\/7 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 496710541?\nAnswer: 53, 9371897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -513345 + -5566?\nAnswer: -522244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 221 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g. Let u(a) = 30*a**2 + 36*a + 36. Let o(p) = -5845*p + 3*p**2 + 1 + 5846*p - 2*p**2. Let x(i) = 36*o(i) - u(i). Calculate n(x(t)).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10.495 and -0.8462.\nAnswer: -8.880869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 7, -5, 5 in descending order.\nAnswer: 7, 5, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, i: 6, d: 3, o: 4}. What is prob of picking 2 v and 1 d?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 2*n**2 + 1. Let o be g(-1). Let m be 39\/12 - 2\/8. Suppose m*r + o*r = 300. What is r rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -154401\nAnswer: 1\/51467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**3 - 2*t**3 - 7 + t**3 + (-4 + 4 + 2*t)*(488*t**2 + 237934*t - 237934*t).\nAnswer: 975*t**3 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15 + -1)\/((-1)\/1). Let r be 6\/4*d\/6. Suppose 5*k = -0*b + 2*b - 51, -r*b + 89 = 3*k. What are the prime factors of b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a - 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 50 = -106. Let w = -21 + x. Suppose 17 = -0*v + v - t, -1 = -v + w*t. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 = -12047*s + 12057*s for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 169*p**3 - p**2*v**2 + p*v**2 - 120*v**2 wrt p?\nAnswer: 1014*p - 2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 448 - 440 = -6*y, 23 = 5*u - y for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 48*p - 514. Calculate the remainder when 1338 is divided by a(-31).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lelded. What is prob of sequence ed?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2253 - -11267\/5. Let q(y) = y**2 - 4. Let w be q(3). Is w >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8.8 + 9. Let t = -343 + 719\/2. Let z = -16 + t. What is the nearest to 2\/7 in z, -2\/9, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**5\/5 - 84*l**4 - 7432*l**3\/5 - 37304*l**2\/5 - 54012*l\/5 - 23716\/5 = 0. What is l?\nAnswer: -7, -1, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -590.3 from 5.\nAnswer: 595.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gzzzggzzgg. Give prob of sequence ggz.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 3089 = -10767. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 25, -2, 20.1, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - 23. Which is smaller: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.05 - 1.85. Let o = -73\/3 + 24. What is the second smallest value in l, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15882496 is divided by 2647082.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - (8 + -12 + 36)) + (0 - 1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 t, and 1 f when three letters picked without replacement from ttwwwcffwftxtnt?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10179, -19406, -28633, -37860, -47087?\n\"Answer: -9227*v - 952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 172453303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7525*o**3*z**2 + 6*o**3 - 725*o*z + 13*o - z**2 wrt o.\nAnswer: -45150*o*z**2 + 36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 51597, 201843, 450735, 798273, 1244457, 1789287, 2432763?\n\"Answer: 49323*b**2 + 2277*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/35 and -32\/145.\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -2*b - 8, 2*b + 77 - 69 = -5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -6*v**4 + 32*v**3 - 11*v**2 + 3. Let n(i) = -18*i**4 + 98*i**3 - 34*i**2 + 10. Let j(h) = -20*l(h) + 6*n(h). Determine p so that j(p) = 0.\nAnswer: 0, 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -5*z + 90. Let y(f) = 2. Let s(u) = 2*a(u) - 90*y(u). Let r(j) = -3*j. What is r(s(c))?\nAnswer: 30*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-156)\/1755 - (-1)\/(-9). Which is the nearest to 0.06? (a) -2\/11 (b) -87 (c) q (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-1*(sqrt(77)\/(-1*sqrt(11)) + (-2*sqrt(63) - sqrt(63))\/sqrt(9) + sqrt(7)))**2 - (4*sqrt(1008) + -3)).\nAnswer: -48*sqrt(7) + 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 - 12. Suppose -2*t = 5*i - 136, -4*i = 3*t - a - 183. Calculate the remainder when t is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 395165557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 753, -2, 9, 1, 0, 3, -11.\nAnswer: -11, -2, 0, 1, 3, 9, 753","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-12))\/((-2)\/18). Suppose 5*t = -0*t + 15. Let o(d) = -2*d + 5*d - 3*d**2 - 4 + t + d**3. Give o(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 - 2833113*j.\nAnswer: -3*j*(j + 944371)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 6:35 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 19 = -n + 4*n, 0 = 5*w - 3*n - 23. Calculate the common denominator of ((-6)\/w)\/(21\/(-88)) and 4\/((-72)\/(-15))*3288\/(-120).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 150 divided by -16341\nAnswer: -50\/5447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -84726 bigger than -84726?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-5) - 72\/(-15). Suppose 0*v - 3*v + t + 79 = 0, 5*v - j*t = 145. Find the third derivative of -14*g**3 + 44*g**2 + v*g**3 - 17*g**3 wrt g.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**3 + 112*p**2 + 404*p - 681. Determine z(-52).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 177209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-1))\/((-60)\/(-360)) - 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.2 + 0.7. Which is the biggest value? (a) 3 (b) -3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -v**5\/30 - 1103*v**4\/6 - 1216609*v**3\/3 + v**2 + 3462*v. Factor i(a).\nAnswer: -2*(a + 1103)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -5*s + 2 - 2. Let d(q) = 2*q**2. Calculate o(d(u)).\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h - 3. Let p(v) = 2*v - 2. Let r(j) = -7*p(j) + 5*y(j). Let t(q) = q**2 - 2*q - 6. Let o be t(5). Let b be r(o). Solve c = 3*c + b for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 n when three letters picked without replacement from wmwnwmmwmvwwwwnnnwnw?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4.6 in 344, -2\/11, -0.4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 9*y + 3. Let h(x) = -2*x - 17. Let j be h(-16). Suppose 0 = -d + j - 6. What is u(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -13*p**3\/3 - 2. Let i(a) be the third derivative of a**5\/20 + 12*a**2 + 63*a. Determine x(i(n)).\nAnswer: -117*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/30 and 107\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-46)*((((b**(-1\/4)*b)\/b)\/b)\/b)\/b**(-4))**(1\/13))**(-4) assuming b is positive.\nAnswer: b**(177\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 4*l**2 - 6*l + 2. Let z be 8 - (-3)\/(-6)*6. Suppose -3*s = -p + 19, 0*p = s - z*p + 25. What is w(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244414 is divided by 204.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118 = 3*r + 2*l - 101, -6*r + 3*l - 48 = 0 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -91342*u**4 + 129*u**3 - u**2 - 4200856 wrt u.\nAnswer: -2192208*u + 774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 817 divided by -37?\nAnswer: -817\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 67357.676016 and 1.3227.\nAnswer: 67358.998716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34405811*n**3 - 991001993*n?\nAnswer: 206434866*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12*(-6)\/48)\/((-147)\/49)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 61930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*p - 5*f = -111, -21 = -32*p + 36*p + 5*f for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13961077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -97 + 101. Let g = -40 + 70. Let k = g - 30. Which is the closest to -0.1? (a) r (b) k (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 2. Let l be (7 - 4)\/(6\/4). Let c be x(l). Suppose c*z - 1 = 1. What is the highest common divisor of 1 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, v: 1, l: 1, c: 3}. What is prob of picking 1 l and 1 d?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 15) to base 3.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(2\/5)*b**(-7))\/(b**(-1))**(-15) assuming b is positive.\nAnswer: b**(-103\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 - 41. Let n = p + 14. Solve 7*a = n*a + 2*g + 6, 5*g = 5*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {t: 1, e: 2, a: 4, m: 1, o: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**2 - 1091222*w - 5456060 = 0. What is w?\nAnswer: -545606, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(33) - ((-1*sqrt(198))\/sqrt(6) + sqrt(33)))\/(sqrt(11) - (sqrt(121)\/(sqrt(99)\/sqrt(9)) + sqrt(11)))*5)**2.\nAnswer: -450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 h when two letters picked without replacement from hhhhhhgghhhhhhgghhg?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -j + 48. Let f = j - -70. Calculate the remainder when f is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51842 and 12306?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.12 - 0.08. Let x = u - -0.3. Let c = 79 - 475\/6. What is the biggest value in x, c, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/6278456 and 75\/16.\nAnswer: 12556912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 3*l + l)*(-4628 + 4628 + 75*l)*(5 - 1 - 2).\nAnswer: 150*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -747 by 249.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 5*s = 5, 107*s - 56*s = 15*r + 50*s + 15 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15230 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 465380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 990881290 rounded to the nearest 1000000?\nAnswer: 991000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 6:36 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 189133554*c**3 - 574430*c**2 - 7.\nAnswer: 1134801324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1654*b**4*p**3 + 9074*b*p**3 + 94777492*p**3 wrt b?\nAnswer: -6616*b**3*p**3 + 9074*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*u. Suppose 5*k - 62 - 1323 = u. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 320, 3071, 8192, 15683, 25544?\nAnswer: 37775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 392388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 47 (c) -3\/5 (d) 0 (e) 345\/2 (f) -0.3 (g) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 1\/2, 6, 32?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 0.1, 8, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 287*u + 287*u + 11*u**2)*(2 + 3*u - 2)*(1 + u - 1) to the form h*u**2 + k*u**4 + o*u**3 + c + i*u and give k.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 242, 1158, 0, -24 in ascending order.\nAnswer: -24, -5, 0, 242, 1158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2.3 * -0.5\nAnswer: -1.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(-2*a - 2 + 2)*((4 + 3 + 2)*(-2 - 2 + 2) - 5 + 0 + 3) - 3*a + 4*a - 2*a.\nAnswer: -81*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-three quarters of a decade?\nAnswer: 1590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196813.\nAnswer: 97, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10706.5 decades in centuries?\nAnswer: 1070.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22202311 - 31?\nAnswer: -22203002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2 - 11*a**2 + 3*a - 26*a + 4 + 25*a. Let p(i) = -10*i**2 + i + 2. What is 4*p(o) - 3*t(o)?\nAnswer: -7*o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1191*u + 707*u + 796*u - 3061*u + 979*u.\nAnswer: 612*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnigpngciicennini. Give prob of picking 1 n and 2 i.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30*o**3 - 14*o**2 - 1689*o.\nAnswer: -180*o - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15158 a multiple of 286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -5 + 2 + o + 3. Let s(f) = -3*f. Calculate u(s(t)).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 20 = -10*c - 4*x, 0 = -3*c - x + 12. Solve -2*l**4 - 32*l**3 - 2*l**5 + 7*l**c + 15*l**4 = 0 for l.\nAnswer: 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from rtfftrffrtrtft?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of 74*m**5\/5 + 55*m**4\/12 - m**3\/6 - 5*m + 16. What is the third derivative of o(b) wrt b?\nAnswer: 1776","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/19 in 45, 0.2, 5, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -9*d + 7080. List the prime factors of d.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(832))**2 + 5 + 2 - (-5 + (sqrt(234)\/sqrt(6))\/sqrt(3) + -4).\nAnswer: -sqrt(13) + 848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39006 is divided by 19459.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of s**2 + 172. Let f(d) = d - 1. Let n(t) = 3*t - 6. Let j(p) = 6*f(p) - n(p). What is h(j(z))?\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 68582926 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6972.\nAnswer: 2, 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 30 and -0.43?\nAnswer: -12.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18087\/(-27) + (-1)\/9. What is the common denominator of -109\/24 and 0\/2 - (-4 + h\/(-20))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 230 by 5.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.65 + 0.55. Is w bigger than 0.17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13656412*w - 2*w**4 - 13656412*w + 84 - 27*w**2 in the form g*w**2 + k + a*w + f*w**4 + t*w**3 and give k.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -5, -9 in decreasing order.\nAnswer: 5, 3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 4\/7 - 6721\/(-329).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + (sqrt(189)*3)\/sqrt(3)*6 + 4 + 1).\nAnswer: -162*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 80266.62 millilitres?\nAnswer: 80.26662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -a**8\/840 + 53*a**7\/525 - 182*a**6\/75 + 338*a**5\/75 - 12*a**2 - 37. Suppose d(i) = 0. Calculate i.\nAnswer: 0, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 2 - 1518\/162. Let o = 10603\/1728 + x. What is the common denominator of o and 137\/24?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1362*t**2 + 656*t**2 + 1175*t**2 - 589*t**2.\nAnswer: 2604*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 divided by 19.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lgvwllnwlwqq. What is prob of sequence wnq?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 5*o - 75 = 2*u, 2*o + 210 = -4*u. Let k be (-4)\/6 + 3\/(45\/u). Which is greater: k or -8\/3?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9988039.7 rounded to the nearest ten thousand?\nAnswer: -9990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -13, 79, -21, 58, -9.\nAnswer: -21, -13, -9, -5, 58, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k**3 - 438576*k**2 + 263138*k + 175428 = 0. Calculate k.\nAnswer: -2\/5, 1, 43857","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010001000100100 + 1011?\nAnswer: 11010001000101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 9*s**2 + 9*s + 51. Is x(-14) a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -4\/3*k - 1\/18*k**4 - 16\/27*k**3 - 37 - 13\/9*k**2. Let y(o) = 0. Calculate o.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -5*k + 52 - 15, -o - 11 = -3*k. Suppose 2*q = -k*i + 12, 5*i - q - 4 = -5*q. Is i <= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*f*h**3*w**2 - 26*f*h**2 + 112698*h**3*w**2 - 3*h**3*w + 23*h**2*w + 4*w wrt w?\nAnswer: -8*f*h**3 + 225396*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 98*u**2 + 10*u - 12. Let q be k(-7). Let i = q - 188773\/40. Calculate the common denominator of i and -43\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 5. Let b(d) = 2*d - 7*d + 3 - 11 - 2*d. Let z(u) = 6*u + 7. Let q = 20 - 14. Calculate q*z(w) + y*b(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 89427 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of q**7\/105 - q**6\/10 + 2*q**5\/5 - 5*q**4\/6 + q**3 - 26*q**2. Factor h(m).\nAnswer: 2*(m - 3)*(m - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 30*w**4 + 1383*w**3 + 12372*w**2 + 948*w - 2448 = 0. Calculate w.\nAnswer: -34, -12, -1\/2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 6, o: 7}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104954 is divided by 4036?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 344353150 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, u: 1, b: 7, f: 4}. What is prob of picking 1 n and 1 b?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 4*u = 2*z + 16, 3*z + 4 = -u. Suppose -3*l + u*s + 60 = 23, 3*l - 17 = -5*s. What is the least common multiple of l and 11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2924*d - 2880*d - 220 + 44 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.09299 - -0.0892. Round u to four dps.\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/7 and (-31)\/(-5) - (-10)\/25.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 305.106 grams?\nAnswer: 0.000305106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 6 = 3*b, -5*d - b - 55 = -9. Let u be (d\/18)\/((-1)\/(-2)). Put 0, u, 1, 2 in decreasing order.\nAnswer: 2, 1, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24994756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -915 + 916. Sort 5, t, -32.\nAnswer: -32, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 2*u + 112 = 0, -7*z - 246 = 109*u - 112*u for z.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 3, -0.16, -4, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9991656 and 27?\nAnswer: 29974968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 1. Suppose -3*i + 4*g - 2*g = -25, 4*i = -s*g + 10. Let w = 12 - 8. Calculate the remainder when i is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d**3 + 12*d**3 - 4*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3225 + -1792. Suppose 11*a + 5063 - m = 0. Let w be (-2)\/(-3) + 340\/a. Is w less than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/4))**(-12)\/(p**1)**(16\/5))\/((p*p**(-9\/5))\/((p\/p**(-1\/4)*p)\/p))**(-30) assuming p is positive.\nAnswer: p**(-617\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 7. Suppose k = 3*j - 6*j + 141. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -40*h**2 + 583*h - 3. Let b be o(13). Calculate the highest common divisor of 264 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 194030826?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1031322011 (base 5) to base 4\nAnswer: 20130201312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 1. Let a be 3\/(-6)*2 - -4. Suppose -d - 4 = -a*d. Let c be d\/3 + (-28)\/6. Let p(r) = r**3 + 4*r**2 - 2*r - 5. Give c*i(j) - p(j).\nAnswer: -j**3 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*2\/(-8))\/(((-450)\/20)\/45)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**3 + i + 1. Suppose 4*o + 6 + 0 = c, -3*o + 7 = 5*c. Determine x(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -3.2. Let p = -10259\/75 + 410\/3. Let o = 19\/50 - p. What is the closest to o in 0.2, u, -1\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22\/(-48)*116904\/4871\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.41 - 0.01. Let f = 47 + 4. Let s = 50.9 - f. Sort x, -5, s, 4 in descending order.\nAnswer: 4, x, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-53)\/(-2226))\/(260\/(-312)*(-1)\/5)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x, x + 23 = 40*v - 23*v - 21*v - x + 23 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.085, -2\/31 in descending order.\nAnswer: 0.5, -2\/31, -0.085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 19*d**2 - 17*d - 15. Suppose -22 = -5*q + 68. What is n(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2299210 - 0.42394481\nAnswer: -2299210.42394481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -845*x + 10044 + 6133 + 7483 = 0 for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -5. Let l be -2*(-3)\/3 + -3. Let n = -4 - l. Is n at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h*h*h\/((h**0\/h)\/h)*h*h*h*h)*h\/(h**9*h)*(h\/(h**(1\/3)*h))\/(h\/((h*h**2)\/h)*h) assuming h is positive.\nAnswer: h**(-52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 22, -1, 3.7, 477\/5, -4 in ascending order.\nAnswer: -4, -1, -1\/6, 3.7, 22, 477\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.056 + 27.056. Let d = n + -52. Let t = d + 20. What is the fourth smallest value in -0.5, t, -0.1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 16 = -8. Let m be 9\/d*1*2. Let j be (-3)\/((-9)\/m) - -6. Solve 5*l = -0*l + 4*a + 17, -4*l = -j*a - 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eg when two letters picked without replacement from {g: 2, e: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v + t - 6, -12*v - 4 = -10*v + 2*t for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) -0.2 (c) -5.4 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 506072 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*v + 19*v + 4 + 15*v in the form y + a*v and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -560918b?\nAnswer: -5609190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-69)\/(-9) + 15*8\/(-20)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-6) - 352\/12. Let z = -18 - x. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01872762533 rounded to three decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*n + 19*n + 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38979707?\nAnswer: 13, 59, 50821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 263*b - 151*b - 115*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 1, -4, -128, 2.\nAnswer: -128, -4, -1, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -22*t**2 + 372*t + 34 = 0?\nAnswer: -1\/11, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w\/(w\/(w**(-22)*w)*w*w*w))\/w))\/((w\/w**(1\/16))\/w))\/(w**(-12)*w*w\/((w*w*w**(-21))\/w*w)) assuming w is positive.\nAnswer: w**(273\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2734*i**2 + 5482*i**2 - 2735*i**2.\nAnswer: 13*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n + 9*f - 8, -3*n + 16*f - 20*f = -14 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.47371 centuries in decades?\nAnswer: 694.7371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 37*3\/15*2. Let r = t + -242\/15. Let i = 47 - 50. What is the smallest value in i, r, -1, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9557 is divided by 129?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (162\/(-54))\/(((-2)\/58)\/((-1)\/(-1))).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 180605.9901 rounded to the nearest one thousand?\nAnswer: 181000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1048*n**2 + 494*n**2 + 529*n**2 + 32*n**4)*(2 - 1 - 3) - 2*n**3 - 2*n**4 + 2*n**3 as f*n + w*n**2 + g*n**4 + c + d*n**3 and give w.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l**4 - 5 + l**4 + 6*l**2 - 8*l**2 - l**3 + 0*l + 2*l to k*l**2 + c*l**4 + g*l + w*l**3 + a and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110, -588, -1724, -3812, -7146?\nAnswer: -12020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 4*f + 2*f)*(-3 + 3 + 2*f).\nAnswer: 14*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 540 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (27 + -6 + -6 + 9 - 3).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -7*(-3)\/(-9) - (-20468)\/258. Sort -6, -4, 0, o, -2.\nAnswer: -6, -4, -2, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121599544?\nAnswer: 2, 11, 19, 72727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 143292527*p**4 + 901434*p**2 - 112*p.\nAnswer: 3439020648*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*d = -35, -6 - 1 = 3*k + d. Let a = 0 - -4. Let f be k*1\/a + 9\/3. Solve 0 = -q + 4*q - 3*r - 6, 3*q + f*r = 18 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9980196*g*j - 12866407*j wrt g?\nAnswer: 9980196*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4375199 weeks to nanoseconds.\nAnswer: 264612035520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*w - 20 = 0, -3*w = -k + 14 - 2. Let u(v) be the first derivative of -v**3\/3 - 5*v + 2. Give u(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -342.669156 and -10.\nAnswer: -352.669156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.31263 - 13?\nAnswer: -13.31263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.24 in -17, 39, -1\/7, 13?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -2 + 0 - (2 + -5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1 + ((sqrt(252) - (sqrt(252) + sqrt(252) + -6*1*sqrt(252))) + sqrt(252) - (3 + sqrt(252)*2 + sqrt(252))))*5 + -4)**2 + -1.\nAnswer: -30240*sqrt(7) + 513435","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -100111010010011010 (base 2) to base 14\nAnswer: -42906","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 3*q**2 - 5*q - 5. Let s be l(-4). Calculate the common denominator of (1\/7)\/(s\/(-57)) and (-185)\/28 - (-4)\/(-16).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 + y**2 + 2*y**2)*(-2*y**3 + 2*y - 2*y) + (-6*y**3 + 4*y**3 + 4*y**3)*(32*y**2 - 8*y**2 + 18*y**2).\nAnswer: 80*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 178 = 2*t, 0*s - 2*s + 270 = 3*t. List the prime factors of t.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*n + 1)*(294*n**2 - 432*n**2 - 591*n**2) + (-4*n**3 + 4*n**3 - n**3)*(16 - 11 - 8) - 5*n**3 + 4*n**3 - n**3.\nAnswer: 1459*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 23 - 31. Suppose 3*r - 246 = -f*b, 3*r = -4*b + 4*r + 478. What is the highest common factor of 10 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4844 is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j**2 - 9*j + 9. Let a(v) = 2*v**2 - 5*v + 5. Let p = -15 - -24. Suppose -5*s - 170 + 127 = -2*l, -4*l = 9*s + 9. What is p*a(f) + s*k(f)?\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + -3. Let c = 10 - 16. Sort -2, r, c in increasing order.\nAnswer: c, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3647, -7369, -11091, -14813?\n\"Answer: -3722*k + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = s. Let l be 10\/(-2)*-1 + s. Suppose 2*n - l = 11. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 7*x**2 + 34*x + 4. What is the units digit of j(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*((-52)\/12 - -4). What is the nearest to 1\/4 in -2\/15, -3, c?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -1905*u**2 + 6*u - 10. Let x(q) = 635*q**2 - 2*q + 3. Calculate -3*m(v) - 10*x(v).\nAnswer: -635*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/140 and (-6 + 0)*(8434\/(-400) - -21).\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(1053) + -1 + -1)**2 + -2 + sqrt(78)\/(sqrt(30)\/sqrt(5)) + -4.\nAnswer: -3177 + 109*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 + n - n)*(-5 + 0 - 14*n + 3).\nAnswer: -28*n**3 - 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -256, -255, -254?\nAnswer: -253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.2 + 0.2. Let p = -0.38 + -0.02. What is the smallest value in i, 1, p, 1\/6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-3)\/(-15))*((-1344)\/30)\/16\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*j - 3103, 7*j = 3*j - 5*t + 6209. Suppose -j = -5*o - 4*m, 0 = o - m + 105 - 417. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -329*k - 3*k**4 + 344*k + 12*k**4 + 8*k**4 wrt k.\nAnswer: 204*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 5 (c) 2\/3489\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 5*m + 9. Let l be d(-3). Solve 2*f = l*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*i = 406 - 79, 0 = 2*i + 2. Suppose -2*g + 7*g = v. Calculate the highest common divisor of g and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hmhrhhhhhmhharrhhahh. What is prob of sequence raha?\nAnswer: 13\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03302359 to 5 dps.\nAnswer: 0.03302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 8116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 27\/8*g**3 - 39\/2*g**2 + 83\/2*g - 30 - 1\/8*g**4 = 0. What is g?\nAnswer: 2, 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**6*p - 17*d**3*p**2 - 40*d**2 + p**2 wrt d.\nAnswer: 120*d**3*p - 102*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*x**4 - 10*x**3 - 118*x**2 - 15*x - 11672573 wrt x.\nAnswer: 16*x**3 - 30*x**2 - 236*x - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1739, -8750, -20469, -36896, -58031, -83874?\n\"Answer: -2354*m**2 + 51*m + 564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-1) + (-18)\/6. Suppose -68 = -3*m - m. Let h = t + m. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 3. Let o = 10499 - 10499. What is the closest to 2 in -0.4, o, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/48 - (-1)\/4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55227515 and 23668935.\nAnswer: 165682545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/((x*x**8*x*x)\/x*x))\/(x*x*x**(1\/2)))\/(x*x**(-1\/3))**(3\/17))**(-2\/5) assuming x is positive.\nAnswer: x**(429\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**5\/3 + 7181*q**4\/3 - 4669341*q**3 + 3930474763*q**2\/3 - 45313126976*q\/3 + 13798884352 = 0?\nAnswer: 1, 11, 321, 3424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -7*r + 3 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 12:23 AM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*z - 546 = -19*z + 38*z for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*d - r, 5*d - 4*r + r = -2. Suppose d*w - 3*x = -9, 2*w - 6 - 20 = -4*x. What is the second derivative of l**3 + w*l - l + l wrt l?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 41?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 16 - 15 - -11.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*v**3 + 19*v**3 - 8*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g - 14. Let b be k(10). What is the units digit of 8\/6 + 316\/b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - h = -119, 4*h + h = s - 89. What is the lowest common multiple of 12 and s?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g + 0*g + 2*g**2)*(1 - 5 + 2)*(0 - 7 + 4)*(-42 - 40 - 17)*(5 - 9 - 6) as i*g + w + v*g**2 and give v.\nAnswer: 11880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/13*2\/8. Let s be (40\/48)\/(4\/6). What is the closest to 0 in c, s, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d + 4. Let b(k) = 9*k - 9. Give 2*b(a) + 5*w(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -3*g - 2*f + 3, -2*g + f + 3 = 0. Solve 5*m = -25, 0*r + 2*r - g*m = 7 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 25623 = -3909. What is the units digit of -2*(u\/14 + -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47*5.\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*x - 246*x + 1002757. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 3233*d**2 + 274*d + 3234*d**2 - 23 + 4.\nAnswer: d**2 + 274*d - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 6*s**4 - 2*s**5 - 6*s**2 + 4*s**2 - 4*s**2 - 8*s**2 + 8 + 2*s**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 7*n**2 + 4*n - 16. Suppose -4*o + 30 = -2*p - 0*p, 15 = -5*p - 2*o. What is the remainder when 39 is divided by w(p)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 11*o + 3*o**2 + 15*o**2 + 8*o + 13*o. Let a(q) = q**2 + 2*q. Let v(r) = 48*a(r) - 3*u(r). Calculate v(-2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2893663?\nAnswer: 67, 43189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -974 - -221. Let r = 1574 + w. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 2*l**2 - 5. Let b be u(3). Suppose 0 = -3*v + p - 17 + 6, b*v + 5*p - 17 = 0. What are the prime factors of -4 + (-62)\/v - 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28498489 and 3651?\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3.3, -51, -1.6?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3*g + 3, -4*g + 0*o + 14 = 2*o. Let m = 541 + -540. Solve g*k - m = 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1010567989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10080*t - 896 + 5033*t + 5046*t)*(-3*t + t + t).\nAnswer: t**2 + 896*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(114)\/sqrt(2))\/(sqrt(24)\/sqrt(2)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2 + 30*j + 29.\nAnswer: (j + 1)*(j + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 7*c - 46. Let m be x(6). Let n be (-3)\/m*(-7)\/((-63)\/8). Find u such that -2*u**5 - 14\/3*u - n - 26\/3*u**4 - 12*u**2 - 44\/3*u**3 = 0.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**3 - t**2 - 3*t + 5. Let d(k) = -4*k**3 + k**2 + 3*k - 6. Suppose 4*c + 66 = 15*w, 15*c = 18*c - 5*w + 12. Give c*i(o) + 5*d(o).\nAnswer: -2*o**3 - o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qaw when three letters picked without replacement from {a: 1, m: 4, q: 2, w: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = t - 137, -3*l = -4*l - 4*t + 53. Suppose -8*k - 9 = -l. Solve -y + 3 = a, -k*a - 15 = -5*y - 6*a for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.075, 0.04, -4\/3, -44, 3, 1\/3, -1?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 8*x - 4. Let i be h(7). Suppose -i*s - 4*v = -36, -s + 3*v = -3*s + 24. Calculate the smallest common multiple of s and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 15*u + 34. Let m(g) = 8*g + 16. Determine -5*m(k) + 2*w(k).\nAnswer: -10*k - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -80 + 119. What is the third derivative of 14*s**2 + 139 - 139 + z*s**3 wrt s?\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + sqrt(6)\/(sqrt(4)\/sqrt(2) + sqrt(2)) - (sqrt(3) + sqrt(12) + -3).\nAnswer: -3*sqrt(3)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180*w - 179*w + 12384365 = 1447071. Is 48 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/7)*z)\/z*(z\/(z*z*z\/(z*z**4)*z))\/z assuming z is positive.\nAnswer: z**(4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 844037.\nAnswer: 19, 31, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppygpgpppypppp. Give prob of picking 1 p and 2 g.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) -5 (b) 3 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*b**4*o**2 - 430*b**4 + 583*b**3*o + 2*b**2*o**2 - b**2*o - 136522*b*o**2 + o**2 + 34 wrt b.\nAnswer: -72*b*o**2 - 10320*b + 3498*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 64. Let t = -139\/22 + 70\/11. Calculate the common denominator of t and ((-244)\/(-10))\/(x\/(-60)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3978135*a - 3978988*a + 7957132*a.\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**3 + 16452*y**2 + 98604*y + 147852 = 0. What is y?\nAnswer: -4107, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(245) + -1)**2.\nAnswer: -42*sqrt(5) + 738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1201915 + 1867776035\/1554. Calculate the common denominator of w and -3\/37.\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 8 - 0. Let y = -19 + 24. Let v(u) = 6*u - 21. Let f be v(y). Solve h*x - f = d - 0*d, 5*x = -5*d + 30 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/((-4)\/3*17\/(544\/(-24))). Let a(z) be the second derivative of z**4\/12 - z. What is a(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -234 + 242. Calculate the remainder when (-16)\/48 + 37\/3 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -20520342?\nAnswer: 20520333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.26 (b) -0.06 (c) -2 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.011 and 279.556?\nAnswer: 3.075116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 146*g**2. Let w(v) = 189*v**2 + 201. Give w(q(f)).\nAnswer: 4028724*f**4 + 201","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -357997000 to the nearest one million.\nAnswer: -358000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 3*f**2 - 4*f - 1. Let x be a(-3). Let i(s) = -6086*s**3 + 4*s**2 - 2*s + 4. Let u be i(x). Round u to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 260263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(475))**2 - (1 + sqrt(19) + -5)**2.\nAnswer: -2885 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 23 = 4*f, -27 = -3*f + a - 38 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z - 3. Let g be j(2). Let k = g + -1. Let a(s) = s**2 + s - 7. Calculate a(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*t - 159*t + 1 + 0*t + 26*t - 75*t in the form n*t + w and give n.\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**3 - 15256*h**2 - 122105*h - 106848 = 0. What is h?\nAnswer: -7, -1, 15264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0, 3, -0.076, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 127 + 61. What are the prime factors of d?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-78))\/(4098\/18441).\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139644149.\nAnswer: 71, 1966819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/33)\/((-8)\/(-55)))\/(1\/4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 7:49 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24042941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 57*k**2 + 222*k - 507. What is s(53)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -7*y - 1 - y - 2. Let x be d(0). Let g(f) = 50*f. Let t(i) = 17*i. Let m(v) = x*g(v) + 8*t(v). Let p(b) = b**2. Give m(p(n)).\nAnswer: -14*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13677*t - 13680*t = -10*p - 4, -4*t + 72 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1374817 and 268691.\nAnswer: -1106126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b**2*s**3 - 25050*b**2*s + 910*s**3 - s wrt b?\nAnswer: 2*b*s**3 - 50100*b*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 45\/(-8 + (-38)\/(-4)). Solve -s*g + 29*g + 4 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -2617739\nAnswer: 1\/2617739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 13*t**3 + 4*t**2 + 5*t - 9. Let r(n) = 24*n**3 + 7*n**2 + 9*n - 19. Determine -7*f(m) + 4*r(m).\nAnswer: 5*m**3 + m - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**4\/5 - 242*s**3\/5 + 41051*s**2\/5 + 6738732*s\/5 - 775399716\/5 = 0 for s.\nAnswer: -238, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - -24193. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 36 = -32 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -21\/5, 19115?\nAnswer: 19115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 1:10 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39061*y**4 + y**2 + 141279*y.\nAnswer: 468732*y**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*g = 815 - 11723. Which is bigger: -301 or g?\nAnswer: -301","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 8518 - 42 = 0. What is the hundreds digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 10:55 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -1. Let p be (-176)\/64 - y\/4. Let g = -1.8 + 2. Is p < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 + y - 2. Let v be q(-2). Suppose c + 3 = v*c. Find the first derivative of -2 - 2*d**4 + c - d**4 + 4*d**4 wrt d.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110111020122 - -21?\nAnswer: -110111020101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/112, 55, -3, -2, 0.1, 0.5 in ascending order.\nAnswer: -3, -2, -5\/112, 0.1, 0.5, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (13 - 16) + (3 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 7 = 4*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1275225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 2*r**2 - 3*r + 1. Let f be x(2). Let w be (-85)\/(-34) - 14\/4. Which is the third biggest value? (a) 0.1 (b) w (c) 0.5 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -4*n + 6*z + 45060, 0 = -n - z + 11271. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4 - -3. Let g = 45.4 - u. Let p = g + -41.969. Round p to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 382735212?\nAnswer: 2, 3, 17, 193, 9721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 43099 in 0.5, 1\/4, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-80))\/(3\/(-2))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262881 is divided by 262540.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (2\/(-4) + -1)\/(-4 + (-287272)\/(-71824))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 11850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 922 a factor of 1406927331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (65\/65)\/((2\/(-3))\/((-8)\/(-39))).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y + 1. Let b(m) = 6*m + 7. Let f(k) = -3*b(k) + 21*v(k). Let d(j) be the third derivative of -j**4\/24 - 2*j**2. What is d(f(g))?\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-12) - (-53521)\/(-138). Let u = -360 - g. Calculate the remainder when 222 is divided by u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.12 and -3470.98.\nAnswer: -3471.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 9*y - 12. Calculate the smallest common multiple of s(-5) and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 332*k - 5*k**2 - 305*k**3 - 332*k + 48*k**4 + 2*k**2 + 308*k**3 to the form h + f*k + p*k**3 + r*k**2 + t*k**4 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 27 = -4*v, -374*s + 370*s - 85 = 4*v - 147 + 82 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 42356232393\nAnswer: -42356232395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pqqp when four letters picked without replacement from ggkkppqgkggkpqggg.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 309059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 5, 95, -291, 3\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 12*o**2 + 24*o + 5. Let y be j(-2). Let u(w) be the third derivative of w**4\/6 + 3*w**2. What is the remainder when u(y) is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.99 + -0.01. Let z = v + 5.3. Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2580 divided by -129.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 16259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - (23 - 8)) + (-15 - -3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-30)\/20*1*8).\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.3 (b) 4.6 (c) -0.4 (d) 631\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 + (-8 - -5) + 338 and 10.\nAnswer: 3410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/(-15))\/((-66)\/(-44))*-5?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -153*g + 151*g. Suppose -g*f + 926 - 277 = 0. What is the remainder when f is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 3467*d - 8 = -3471*d, -d = 5*j - 35 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h - 4*l - 60, -h - 657025*l = -657022*l + 45 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 189437171 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 395 + 8?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 40 = -25. Let k = 116 - 116.5. Which is the closest to 0? (a) 0.2 (b) w (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (12 - 6) - 5 - -4 - (2 - 8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 0*p - p**2 - 1\/4*p**4 + 0*p**3 - 5. Find the second derivative of f(i) wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 1629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 4*z - 3*h - 51, -3*z + 2 = 5*h. Suppose -108 = -3*v + 186. What is the remainder when v is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 7:37 PM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7772?\nAnswer: 2, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {q: 1, w: 3, e: 4, f: 10}.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.186? (a) -0.19 (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c**5 + 64*c**4 - 67*c**3 - 130*c**2 = 0. What is c?\nAnswer: -65, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 36\/(-63) + 106\/14. Let b = -86 - -123. Let f = b + i. Is f a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of 44*z - 20\/9*z**2 + 13\/27*z**4 + 13\/45*z**5 - 2\/45*z**6 - 26\/27*z**3 + 0. Find k such that t(k) = 0.\nAnswer: -1, -2\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**2\/7 - 91104*m\/7 + 26028 = 0.\nAnswer: 2, 30366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 42*w**2 + 302*w + 37. Is s(-42) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**3 + 44*k**2 + 87*k + 11. Determine d(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*f + 299 = 6*f, -2*f = -4*p + 314. Suppose 8*b - 13 = -p. Let z(n) = n**3 + 9*n**2 + 9*n + 2. Calculate z(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12570?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -31*i**2 + 6. Let d(c) = -1767*c**2 + 341. Let y(p) = -6*d(p) + 341*z(p). Let j(a) = -a**2. Determine j(y(u)).\nAnswer: -961*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000021460687 to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7, d: 1, c: 10}. What is prob of picking 1 f and 3 c?\nAnswer: 14\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2805103 and 2.15214.\nAnswer: -2805100.84786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-12))\/((-84)\/(-63))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/18)\/(21\/((-756)\/(-24))).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -3*o + 15643, 0*v - 2*o = -4*v + 31262. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 13*y**2 - 6*y + 2. Let h = 20 - 16. Does 31 divide w(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/12 of a millennium in months?\nAnswer: 13000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 203 - 203. Solve -5*s - 4*o + t*o + 12 = 0, 5*o = -2*s - 2 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1289*b - 5098*b + 574830 for b.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61651.5 seconds to milliseconds.\nAnswer: 61651500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -9, 32, 2\/3.\nAnswer: -9, 0, 2\/3, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/5))**30)**(-38)\/((c\/(c*(c\/(c**(-1\/3)*c))\/c*c))**(8\/13)*c*c**(-2\/13)*c*c*c*c*c**(1\/2)) assuming c is positive.\nAnswer: c**(-35969\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 5*t = 11, 0 = -g - 4*t - t + 34. Solve 8 = 3*v - 0*a + 4*a, -v + a - g = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4999440 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3600 + 3595. Which is the fifth biggest value? (a) -0.5 (b) 0.3 (c) -3 (d) j (e) 31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34 + -33)\/((21\/182)\/((-15)\/10)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (102\/(-4))\/(1899\/(-2532))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -1\/11, -0.1, 0 in descending order.\nAnswer: 0, -1\/11, -0.1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/29, 1, 5, -2, -7 in decreasing order.\nAnswer: 5, 1, 2\/29, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.6 + 1. Let v = -8 - -19\/2. Let o = 0 + v. Put 1\/6, y, o in ascending order.\nAnswer: 1\/6, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -193, -571, -1137?\nAnswer: -1891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 9*p**2 + 579. Let n(g) be the third derivative of -g**5\/4 - 7*g**2 + g. What is n(y(d))?\nAnswer: -4860*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 155198977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 + n**3 - 2*n**3)*((-2 - 2 + 3)*(3 + 1 - 6) + 3 + 2 - 6 + 4 - 5 - 5).\nAnswer: 15*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2693, 2691, 2689, 2687, 2685, 2683?\n\"Answer: -2*m + 2695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -b**4 + 73*b**3\/6 + b**2 - 2*b - 2935. Find the second derivative of u(d) wrt d.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of k**7\/560 + k**6\/240 + k**3\/6 + 3*k**2. Let q(j) be the first derivative of v(j). Determine r, given that q(r) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 536424 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - (-1506)\/(-663)) + ((-4)\/(-17))\/2. Which is the closest to 0? (a) t (b) -2\/3 (c) -138\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001136979 rounded to six dps?\nAnswer: -0.000114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*f = 2*f - 76 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7414528987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y**2\/7 - 107924*y\/7 + 53964\/7 = 0. Calculate y.\nAnswer: -13491, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5905999 litres in millilitres?\nAnswer: 590.5999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**4 + 0*j**4 - 3*j**4 + (-j**2 - j + j)*(2*j - 2*j - 2*j**2) + j**4 - 3*j**4 + 0*j**4.\nAnswer: -j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**3 - 6*k**2 - 70*k + 218. Calculate the least common multiple of h(3) and (-41)\/((-1)\/(15 + -2)).\nAnswer: 4264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 411600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 48 = -f - 8, 141 = 4*f - 3*s. What is the highest common factor of f and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gy when two letters picked without replacement from {l: 2, b: 1, y: 2, g: 1, w: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*u = -130, -4*o + 2*u + 338 + 152 = 0. Calculate the greatest common divisor of o and 2580.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183952*a + 183883*a = -534 - 639 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.051 * -52804.\nAnswer: -2693.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1336770, 2673525, 4010280?\nAnswer: 5347035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 33*o**3 - 4*o**2 - 4*o + 4. Let h be (68\/6 + -2)*(-24)\/(-56). Let c(a) = 98*a**3 - 11*a**2 - 11*a + 11. Determine h*c(j) - 11*q(j).\nAnswer: 29*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46*g**2*y**2 + 30721*g**2*z - 2*g*y*z + 3*g + y**2*z - 1753*y**2 + y - 2 wrt g.\nAnswer: 92*y**2 + 61442*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 8*z**2 + 51*z + 145. Let s be x(-3). Suppose l = 3*c - 4*l - 4, -2*c = 3*l - 28. Calculate the highest common factor of c and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**2 - 3*n**2 + 3*n**2 + (2 - 2 - 2*n**2)*(2 + 1 - 2) - n + n + 2*n**2 - 4 + 3*n**2 + 4 - 696*n**2 - 626*n**2 + 1328*n**2 + 62.\nAnswer: 10*n**2 + 62","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**2 - 78*k + 78*k - 46 - 51 + 97.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 186*m**4 - 92*m**4 - 95*m**4 - 2*m + (m**3 + m - m)*((-4 + 3 - 1)*(0*m + 2*m - m) - 3*m + m + m).\nAnswer: -4*m**4 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 9*l**2 - 8*l - 2. Let g(j) = -4*j**2 + 4*j + 1. Give -5*g(k) - 2*w(k).\nAnswer: 2*k**2 - 4*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -109? (a) 0.1 (b) 4.1 (c) 98\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 4 = -5*u + 4*b, 2*u - 3*b + 4 = 0. Suppose 0 = -3*g + 2*h + 2354, -h = u*g + 2*h - 3133. What is the hundreds digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 7*i**2\/2 - 8. Let f(b) = 4*b. Determine m(f(l)).\nAnswer: 28*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34887, -35095, -35309, -35535, -35779, -36047?\nAnswer: -36345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3391 + -3735.2. Let x = g - -344. Which is the closest to x? (a) -4\/5 (b) -0.5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -0.2295?\nAnswer: 0.06885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 260*q**2 - 2 + 2 + 276*q**2.\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -213, -251, -305, -369, -437, -503?\nAnswer: -561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2041502195 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 36*g**3 + 4*g**2 + 6*g - 5. Let h be k(5). Let m = 1236667669285\/267796134 - 2\/14877563. Let p = m - h. Find the common denominator of p and 119\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 7:34 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 293803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 9*v + 90 = -17*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 455077*g - 455077*g + 2062*g**2.\nAnswer: 2062*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 11*w**2 - 13*w - 5. Let m(u) = -5*u**2 + 6*u + 2. Suppose 2*z - 18 = 3*a, -9 = -z + 2*a + 3*a. Let k(v) = z*m(v) + 4*l(v). Give k(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -440 or -1306?\nAnswer: -440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 178624?\nAnswer: -5\/178624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5*y - 2 - 17 = 0, 5*y = -o - 23. What is c in 5*c**2 - 4*c**2 + 0*c**2 - 3*c**o + 2*c = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31588 (base 9) to base 4.\nAnswer: 11012201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -v**10\/151200 + v**8\/16800 - v**6\/3600 + v**4\/24 - 3*v**2. Let o(y) be the second derivative of j(y). Factor o(s).\nAnswer: -s*(s - 1)**2*(s + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 86569379?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/13 and -23\/2418.\nAnswer: 2418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -224282 and -224857 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10031111202 (base 4) to base 16.\nAnswer: 10d562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 209*s + 1905. Calculate the remainder when 544 is divided by u(-9).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56a7e (base 15) to base 5.\nAnswer: 32310434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1189 = 4*a - 5*g - 1236, 2*g = 2*a - 22 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of 5\/6*c**4 + 0*c + 5\/2*c**3 + 0 + 1\/12*c**5 + 9*c**2. Let t(q) = 0. What is q?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2967364 a multiple of 674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3 - 9 = 0. Let t = 3\/4 + -1. What is the second biggest value in t, w, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 5*h - 309276 + 309380 = 0 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*u + 3 = 0. Let m = -6 - -4. Let f = m + 2.1. Which is the second biggest value? (a) u (b) 0.5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 4*a**2 - 5*a + 6. Let b(j) = 3*j**2 + 4*j - 5. Calculate -3*b(p) - 2*s(p).\nAnswer: 2*p**3 - p**2 - 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/7))**(-1)\/(r**0*r*r\/r**(-3\/4)))\/(((r\/(r**(1\/6)*r))\/r)\/r*r\/((r*(r**(-6)*r)\/r)\/r)*(r**(-1\/3))**48) assuming r is positive.\nAnswer: r**(731\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18217*m + 4862*m = 747880 for m.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 45032 + -2?\nAnswer: 45030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -10. Suppose d = k*d - 21. Suppose 4*i - 11 = 3*z + d, -3*i = -5*z - 24. Solve 4*p - i = -0*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*w - 3 + 3 + 960*w + 198*w.\nAnswer: 1103*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 136073814 a multiple of 1174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l**3\/5 - 349069*l**2\/5 + 2094378*l\/5 = 0. What is l?\nAnswer: 0, 6, 349063","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwe when three letters picked without replacement from wweeeeeeeee.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -13*d + 17*d + 58, 0 = p + 4*d + 30 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19426?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lb when two letters picked without replacement from {j: 1, h: 4, o: 1, l: 3, b: 2}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -226, -462, -696, -928, -1158?\n\"Answer: o**2 - 239*o + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 122 - 117. Suppose -50 = -i*h - 550. Let q = h - -197\/2. Is -3 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65 + 22 + -100 + 1*2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 428*y + 3854. Let h be i(-9). Factor 0*q + 2\/11*q**h + 0.\nAnswer: 2*q**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 294*n + 11. Let i(s) = -882*s - 36. Calculate -10*h(r) - 3*i(r).\nAnswer: -294*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19 and 23?\nAnswer: -437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 142297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/200 and 77\/92?\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6362, -6425, -6618, -7007, -7658?\nAnswer: -8637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39 - 39 - 33*c + ((-6 - 8 + 2)*(4 - 1 - 1) + (-5 + 3 + 4)*(-4 + 4 - 2))*(c + 4*c - 3*c).\nAnswer: -89*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 0*v + 2\/27*v**3 + 3 + 0*v**2. Factor z(t).\nAnswer: 2*t**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 31, 30, 29, 28, 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b**4 + 2*b**2 + 2*b**4 + 4*b**4 + 3*b**3 - 2 + b**3 to k*b**4 + y*b + h + d*b**2 + a*b**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*i + 6*i - 417 = 0. Factor 0 - 2\/5*k**i + 0*k - 2\/5*k**2.\nAnswer: -2*k**2*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from kkkkkkkkkkqkk.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -86, -162, -274, -434, -654, -946?\nAnswer: -1322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*3 - ((7 - 6) + -1). Suppose -2*y + 12 - 4 = 2*p, 4*y - 16 = p. Sort t, -3, y, 0 in descending order.\nAnswer: y, t, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-23)\/y*y*y*y**21)\/(y**15\/(y**(1\/3)\/y*y)) assuming y is positive.\nAnswer: y**(-47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -47*o**3 - 88*o**2 - 278*o - 579. Give j(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2021596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-11952)\/(-160))\/(-3) + 17 - -8)\/(10\/4).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**5\/8 - 174*c**4.\nAnswer: -3*c**4*(c + 464)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 divided by 15159?\nAnswer: 15\/5053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 2221151?\nAnswer: 2221144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5000 and 1320?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 792*j - 864*j - 1440 = 0 for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -7. Suppose 10*v = x*v. Suppose v = -2*a + 2185 + 1125. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 12:22 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -12 - -19 - 4\/1. What is the nearest to 0 in -2, o, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.14, 0.04, -0.042 in increasing order.\nAnswer: -0.14, -0.042, 0.04, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 9 = -12. Let q(m) = -m**3 - 5*m**2 + 4*m - 3. Let r be q(-6). Suppose 0 = -3*g + 6*g - r. Is a at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, t: 2, v: 5}. Give prob of sequence bt.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 139922, 139952, 139992, 140048, 140126?\nAnswer: 140232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((10\/(-4))\/5)\/(((-9)\/(-2))\/3). Let z = -0.2 - 0.3. What is the smallest value in z, 5, 4, p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -18*m**3 - 22*m**3 - 3*m - 3 + 6*m**2 + 42*m**3. Calculate the lowest common multiple of z(-3) and 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -91 - -116. Suppose 2*g - 3*z - f = 0, -4*g + 25 = -5*z - 20. Calculate the remainder when (4 - 3) + 31 + 2 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1523 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -5116*u. Let l(w) = 179*w. Give l(n(d)).\nAnswer: -915764*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 19.1, 1\/5?\nAnswer: 19.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5*y - 11 = -j, -3*y = 4*j + 33. Let r be -2*y\/(22\/(-140)). Let o = r + 207. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/22*(-3 + -5). Let l be (-125)\/132 - (-1)\/3. Let f = z - l. Is f equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004357627 rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 3357.\nAnswer: 3357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 32?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -100 + -3c4320?\nAnswer: -3c4420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3, 5*p = 21*f - 25*f + 8. Which is the closest to 3? (a) -0.14 (b) p (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2 - 4*y - 1. Let o be d(4). Suppose -3*j - 1 = -5*p + o, 2*p = 3*j + 10. Let m(q) = -3 - 2 - p*q + 1. Determine m(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -15*r - 102. Let i be (-8)\/(-52) - (-264)\/(-26). Does 24 divide k(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100201 (base 5) to base 6\nAnswer: 22412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 80 - -439?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10431 - 10431.063651. Round i to 4 dps.\nAnswer: -0.0637","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 884, 883, 882, 881, 880?\nAnswer: 879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/45 and -6\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-26)*(-2)\/(-3). Let y = -81 - -126. Let m = y - 45.3. Which is the closest to 1? (a) m (b) u (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*k - 3 + 0*k + 3*k)*(12 + 32 - 22) in the form v + g*k and give g.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383475 is divided by 2759.\nAnswer: 2733","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qlt when three letters picked without replacement from {w: 1, e: 2, l: 3, d: 1, q: 2, t: 6}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(-1)*r)**34\/(r**(1\/10)\/(r\/r**(-3\/7))))**(-1\/5) assuming r is positive.\nAnswer: r**(-4853\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -3\/2 (b) 0.142 (c) 5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 + 19. Let n = b + 9. Let k be n - 4\/((-12)\/69). Calculate the highest common divisor of 20 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2649837 to the power of 1\/3, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + -35)*-1 - -2. Suppose -w = -5*p - 12. What is the third derivative of 5*i**2 - 4*i**2 + i**2 + 3*i**p wrt i?\nAnswer: 180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -11, 9 in decreasing order.\nAnswer: 9, -11, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 97\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -11*z + 5. Let a(n) = -n + 1. Calculate 5*a(d) - c(d).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-6732)\/(-132)*2*4\/44*11\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -618*h**4\/7 - 557448*h**3\/7 + 1108374*h**2\/7 + 1697748*h\/7 + 32544\/7 = 0. Calculate h.\nAnswer: -904, -1, -2\/103, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 36*b**2 + 91*b + 279. Give a(33).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 9 times 65\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*v - 8. Suppose 3*h - 5*s - 112 = 0, -v*s = -4*h + 155 - 1. Does 29 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 959.\nAnswer: 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r - 364 = 32*r + 313*r - 9 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.26 - 1.26. Let n = 0.3 + -0.7. What is the second smallest value in n, x, -3\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 2:56 AM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 326229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -19*f**2 - f. Let y be n(1). Suppose 0 = -3*k + 2*w - 32 - 50, 0 = -5*k - 4*w - 166. Let c = y - k. Calculate the highest common divisor of 80 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 672 divided by 175354\nAnswer: 336\/87677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13804 - 13804.27815. Let z = a + 0.28. Round z to 4 decimal places.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23702, -47850, -71998?\nAnswer: -96146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 21*h. Let v(d) = 2*d + 2. Let o(k) = -1. Let r(y) = -2*o(y) - v(y). What is r(i(g))?\nAnswer: -42*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4446039 - 4446039.9999995. Let a = y + 1. What is a rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 39782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 136 divided by 68\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52\/3, -3, 1, 5, 22, -7, 0.\nAnswer: -52\/3, -7, -3, 0, 1, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - g - 34 = -4, 0 = -h + 2*g + 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2706\/7 + 5447\/14. Let r(y) be the third derivative of -11*y**2 + 0*y + 0 + 1\/15*y**5 + 0*y**4 - d*y**3. What is the derivative of r(s) wrt s?\nAnswer: 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.030243 hours in seconds?\nAnswer: 28908.8748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 313345300, 626690599, 940035898, 1253381197?\nAnswer: 1566726496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 44278915 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2411*i + 8297. Determine w(-3).\nAnswer: 1064","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -395, -2124, -6193, -13772, -26031, -44140?\nAnswer: -69269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -980530, -39, 1 in increasing order.\nAnswer: -980530, -39, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 2, -5, 0, 105 in decreasing order.\nAnswer: 105, 23, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(((-264)\/11)\/(-12))\/(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 135367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(220)\/sqrt(11)*2)**2 - (-5*(-3 + sqrt(40)\/sqrt(8))*3)**2.\nAnswer: -3070 + 1350*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 143\/38, -0.1, 7\/10, 114?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*z = 112, 0 = -4*a - 2*z + 225 - 21. What is the highest common divisor of a and 481?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*i = 3*x - 2, -3*x = 4*i + 10. Let z be (i\/5)\/((-2)\/70). Suppose 0 = 4*h - z + 8. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66025874.\nAnswer: 2, 19, 1737523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4*d**3 - d**2 + 3*d - 4. Let t be u(2). Suppose 0 = 4*w + 5*h - 253, 4*w = 2*w - 4*h + 128. Let f = t + w. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3265 + -3262. Let p be ((-4)\/(-10))\/((-2)\/30). Let o be ((-1)\/1)\/(-1 - p). Which is the closest to 0.2? (a) -0.3 (b) o (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1595\/8 - -199. Let m be 4\/(-3) - 0 - -1. What is the closest to 0.1 in t, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 709 equal to 108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28*r**3 + 373 - 8*r - 2*r**2 - 372 + 7*r)*(-8*r + 7 - 7) as s*r**2 + m*r + d*r**4 + c + t*r**3 and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132812 is divided by 26512?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5*x**3 - 6*x**2 - 13*x - 26. Let l(t) = -2*t**3 + 2*t**2 + 4*t + 9. Let m(g) = -3*j(g) - 8*l(g). Let b be m(-6). Round b to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -50*w**3 - 2*w**2 + 263 wrt w?\nAnswer: -150*w**2 - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/112 and 33\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2989\/183 + -25 + 9*1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + sqrt(2) + -1)**2*2 + -2*(4*(sqrt(32) - sqrt(2)) - (sqrt(12) - sqrt(72)\/sqrt(6))\/sqrt(6)).\nAnswer: -20*sqrt(2) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -8293, 36, 2 in increasing order.\nAnswer: -8293, 2, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - n = -294. Let w be 5\/(-6) - (-1190)\/60. Suppose -13*a - n = -w*a. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oaaooyaaolv. What is prob of sequence ovll?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-21)\/(-70))\/(198\/1065). Let h be (-8)\/20 - (-106)\/(-110). Let p = h + n. What is the second biggest value in -1, p, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 45.08927 milligrams?\nAnswer: 45089.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 6:20 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 39\/7*y + 0 + 3\/7*y**2 = 0.\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dwhh when four letters picked without replacement from hwlhwzlwhhlwhd.\nAnswer: 10\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -36751, -73584, -110417, -147250, -184083, -220916?\n\"Answer: -36833*j + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1374 times -54.04\nAnswer: 74250.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5125?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o**3 - 16*o - 4 - 12*o + 8*o**4 + 20*o - 9*o**4 to the form y*o + f*o**2 + z*o**4 + d + i*o**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + c - 10 = 0. Let m(l) = -206*l + 8. Let t be m(c). Let p = t - 545. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34*w**5*z**2 + 3*w**4*z**2 - 4*w**2*z**2 + 58*w*z**2 wrt w?\nAnswer: 2040*w**2*z**2 + 72*w*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 416*z**2 + 8731*z + 1390. Give w(-22).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.4667 + -2.1772. Round k to 2 dps.\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 125746327, 251492647, 377238967, 502985287, 628731607, 754477927?\n\"Answer: 125746320*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 17 = 5*g. Let o(d) = d**2 - 7*d + 1. Let k be o(g). Suppose 0 = -3*x - 0 + k. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 16*t**2 - 2*t + 1. Let d(f) = 17*f**2 - 3*f + 1. Determine 4*d(x) - 5*k(x).\nAnswer: -12*x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68*-0.1.\nAnswer: -6.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -2\/11, 3, -2\/7, -22339?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4259.3 and 15562456.\nAnswer: 15558196.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (248\/992)\/((-2525)\/(-2524) + -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 2717305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -38 + -48?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h + 1. Let v(k) = 2*k - 1. Let p(q) = 11*g(q) + 6*v(q). Calculate p(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2933278 is divided by 20793.\nAnswer: 1465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-27)\/((t\/t**(4\/15)*t)\/t*t))\/(t**10*t\/t**(7\/3)) assuming t is positive.\nAnswer: t**(-187\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 6 = 2*j, j - 13 = 6*j + 4*y. Let q be 7 - (j - -9) - -3. Solve 4*d - 4 = 2*t + 2*d, q*d = -2 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 44582 or -23?\nAnswer: 44582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3533\/9 + 393. What is the nearest to -0.1 in l, 2\/11, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1976 minus 2441937?\nAnswer: -2443913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from atcnbbo. Give prob of sequence an.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of m**4\/12 - 10*m**3\/3 + 17*m**2. Let w be t(16). Suppose w = s - 4*s, -3*d = -s - 4. Is -6\/29 at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31.75 - -31. Round w to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 4*n = -2*n + 217, 305*n - 300*n - 81 = -2*b for b.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*u - 6*u + 24 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.305 rounded to one dp?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -324*w**5\/5 - 113*w - 302. Find the first derivative of k(t) wrt t.\nAnswer: -1296*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 5*k = -37, -27*z = -28*z + k + 7. Calculate the remainder when 1015 is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95, -110, -107, -86, -47, 10, 85?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 6:36 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from swsobzswswsswswwswb. What is prob of sequence bs?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1600\/1152*(-32)\/(-20)*8\/64?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence utu when three letters picked without replacement from tuuuuutuuuu.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 7, 24, -4, 2, 866 in decreasing order.\nAnswer: 866, 24, 7, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2009 + -2007. Suppose -i + 2 = -l - 7, 4*i = -4*l + 4. What is the closest to c in l, 4, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.5 - -1.4. What is the nearest to y in 1, 2\/27, -1?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.387 + 1.731. Round a to one decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28708496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24453118 is divided by 7047?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 615.2378 nanograms to tonnes.\nAnswer: 0.0000000000006152378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 944*d - 2824. Let l be k(3). Suppose -w = -1 - 1. What is the nearest to w in l, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 40 = 6*f - f, 5*f = -3*w + 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3124491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, q: 8, v: 3, n: 2}. What is prob of sequence zqq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 65 + -59. Suppose i*x + 7 = -5. Let z = -39 + 39.2. Which is the nearest to x? (a) -2 (b) z (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 643\/8*l + 1\/2*l**2 - 161\/8.\nAnswer: (l + 161)*(4*l - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 125 and 1974760.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a microgram in nanograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 179*c**2*n**2 - 2*c**2*n + 184*n**2 with respect to c.\nAnswer: 358*c*n**2 - 4*c*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -16 (b) -7 (c) 2\/3 (d) -76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 190?\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 54549*v**2 - 27268.\nAnswer: 109098*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qartoorcqoarat. Give prob of picking 2 a and 1 q.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7342 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22264457?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1849*b**4 - 3870*b**3 + 348*b**2 - 8*b.\nAnswer: b*(b - 2)*(43*b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -1\/7, 995305\/2, 0.1, -0.3, -1\/4, 1\/4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2 + 4604*m - 23044. What is c(5)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 4*y + 35, 5*y - 28 = -m - 0. Suppose -m*g + 1171 + 830 = 0. List the prime factors of g.\nAnswer: 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 208, 173, 102, -11, -172, -387, -662?\nAnswer: -1003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 2293938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13523193 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 divided by 610465.\nAnswer: -15\/122093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 9 = 7, 5*j = -5*d + 50 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**2 - f**3 - 4*f**2 - 2 + 2*f**3 - 8*f - 2*f**2. What is the remainder when 11 is divided by k(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 196, 190, 146, 34, -176, -514, -1010?\nAnswer: -1694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u - 896 + 885 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 33 in descending order.\nAnswer: 33, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sbs when three letters picked without replacement from {b: 9, k: 1, y: 1, s: 3}.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**3 - 47*o**4 - 2182*o**4 + 2*o**3 + (2 + 3 - 3)*(-3*o**2 - o**4 + 3*o**2).\nAnswer: -2231*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 34049752409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 5*l**2 - 5. Let c(j) be the second derivative of -j**4\/12 + j**2\/2 + j. Suppose 2*p - 3*p = 3*t + 1, 4*t = 5*p + 24. Calculate p*c(x) - a(x).\nAnswer: x**3 - x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 533804.3 centuries to years.\nAnswer: 53380430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-76)\/76*(4\/10)\/(3\/15). Which is the nearest to 0.1? (a) -7 (b) -341 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -7*u**3\/6 + 39*u - 52. Let i(r) be the first derivative of l(r). Let w(m) = 15*m**2. What is i(w(k))?\nAnswer: -105*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2712322*b**3 - 2156588*b wrt b.\nAnswer: -16273932*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1431 is divided by 476.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48891042?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.423 rounded to the nearest integer?\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -20 (b) 1\/3 (c) 3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 62486325 divided by 55?\nAnswer: 1136115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -1177*i. Let k(v) = -3*v**2. Calculate k(l(h)).\nAnswer: -4155987*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(8\/(-12)))\/((-168)\/(-32)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wvcycv. What is prob of picking 1 v, 1 y, and 1 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2340 a factor of 634181348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + j = 28, -j = -4*q - 2 + 30. Let f(y) = y**3 - y - 3. Let d(m) = -3*m**3 + 2*m + 7. Calculate q*f(s) + 3*d(s).\nAnswer: -2*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3 + (-2 - 2 + 2)*(0 + 0 - 1) + 1 + 0 - 2 + 5 + 1 - 3)*(10 - 10 - 2*j).\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 12*k**2 - 14*k - 15. Calculate t(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 156) + (-656 - -740)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 4 = -4*r, 118*h - 122*h = -2*r - 26 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*t - 27*t = 0. Let b = -8 - t. Is b smaller than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k + 0*k - 2*k + 2 - 1 - k**2. Let b(i) = 3*i**2 + 4*i. Determine 2*a(c) + b(c).\nAnswer: c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**3 - 82*k**2 + 61*k + 237. What is the remainder when m(-42) is divided by 134?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.262 times -702\nAnswer: -183.924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -10. Let y(k) = k**3 + 2*k**2 + 6*k - 10. Let t be y(u). Suppose b + t = 3*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 518 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 4:00 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 20, 53, 136, 293, 548?\n\"Answer: 4*m**3 + m**2 + 2*m + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2019291.\nAnswer: 3, 41, 16417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -3*b - 8466 + 1011, -2*i + 4950 = 3*b. List the prime factors of i.\nAnswer: 3, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from ddyxydyd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jxjj when four letters picked without replacement from jffwjyrfxjjy?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 - 39 - 22 + 93 - 1318*x.\nAnswer: -1318*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1594877? (a) -2 (b) 5 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - 3668\/(-393))*93.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5*m**2 - 6*m. Let z(r) = -6*r**2 + 6*r. Let d(g) = -3*f(g) - 2*z(g). Let d(x) = 0. Calculate x.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -661 - -677. Calculate the remainder when 31 is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -803 - -803.9. Is -0.17 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 0.22, 4, -4\/5, 2, -0.066?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -214 - -215.31. What is d rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4733 - -5060. Let s = 614499 + -614171.831. Let m = s - a. What is m rounded to two dps?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + -2*(-2*sqrt(88) - sqrt(88)) - sqrt(88))\/(-5*sqrt(16)\/sqrt(2)).\nAnswer: -6*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 80 - (-1930 + 10)\/(-48)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49 - -24. Let d = l - -49\/2. Put 1\/5, d, -1 in decreasing order.\nAnswer: 1\/5, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -4, -5, 8, 608, -47 in decreasing order.\nAnswer: 608, 8, 3, -1, -4, -5, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23 + -14123?\nAnswer: -14146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-26)*c**(2\/21) assuming c is positive.\nAnswer: c**(-544\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 4*z - 29. Let i(j) = -1 + 25*j**2 - 2*j - 26*j**2 + 3*j. Let g(m) = 4*i(m) - q(m). What is the first derivative of g(c) wrt c?\nAnswer: -10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 7089?\nAnswer: -7091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.28 (b) 3.66 (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12 + -52?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 413 and 42126?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64740*h - 65572*h = 28288 for h.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1801.\nAnswer: 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -673*a - 20921 - 24256 = 548*a for a.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5*g**2 - g + 2. Let o = -22 - -18. Let i(x) = -x. Let h(v) = o*i(v) + p(v). Let k be h(-5). Calculate the highest common divisor of 14 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 3150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 5 + 6 + 119*s - 118*s. What is t(24)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + w)*(5*w - 2*w - 4*w) - 90*w**2 - 79*w**2 + 60*w**2.\nAnswer: -110*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -236 times 3\nAnswer: -708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wkmk. Give prob of sequence km.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2 - 4*i + 4. Let y(u) = u**2 - 1. Let x(a) = 3*y(a) - z(a). Give x(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45818*a + 4200 = -45762*a for a.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 7*o - 1. Let j be b(-1). Let d(q) = q**3 + 12*q**2 + 11*q + 3. Let l be d(j). What is the highest common divisor of 19 and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11200210110 (base 3) to base 2\nAnswer: 10110100100010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4*q - 409444 = 0, -5*u - q = 45401 - 557230. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -1\/80*n**5 + 0 + 0*n - 1\/32*n**4 + 0*n**3 - 4*n**2. What is t in b(t) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 5678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nr when two letters picked without replacement from {n: 1, r: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20731966303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 164*y + 3942. What is the hundreds digit of o(49)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b. Let o(n) = -2*n + 112. What is o(d) + p(d)?\nAnswer: -3*d + 112","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - t + 5. Let d be r(0). Suppose d*j - 5*v = 600, 0*j = -3*j - 4*v + 381. Calculate the remainder when j is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/16)\/(88\/352)*-3*2\/(-6)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120484 is divided by 500.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**2 - 2*q**3 - 6*q - 30*q**2 + 43330 - 43330 as o*q**2 + i*q**3 + u + x*q and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.607 - 0.393. Sort x, 4, 2\/31 in increasing order.\nAnswer: x, 2\/31, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 148 or 6377?\nAnswer: 148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5156 less than 5175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 109.72 - 106. Let i = o + -5.72. Sort i, -1\/12, 0.4.\nAnswer: i, -1\/12, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2841 - -2696. Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14162 is divided by 840?\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6)\/a*a\/a**(-2\/9)*a)**45 assuming a is positive.\nAnswer: a**(-215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -25750*z**2 + 3*z + 6. Let y be u(-2). What is y rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/28 and -3\/139384.\nAnswer: 139384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*c**4 - 105765*c**3 - 263961*c**2 + 475848*c + 950940 = 0. What is c?\nAnswer: -17610\/7, -3, -3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -2*g - 16, 5*g + 4*c = -1 - 5. Let r = 1670 - 1668. Calculate the greatest common factor of r and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o - 9. Let z be k(-7). Suppose -2*r = -z*r + 30. Calculate the lowest common multiple of 9 and r.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -65 + 59. What is the nearest to 1 in 1\/6, l, 2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 73? (a) -0.8 (b) -2 (c) 18 (d) -1\/8 (e) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f - f - f + 0*f + 14*f + 6*f + (-f - f + f)*(2 - 3 + 0) + (-5 + 3 + 6)*(0*f + 3*f + 6*f).\nAnswer: 54*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1718042 and -0.9797?\nAnswer: 1718041.0203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -5*h**2. Let x(n) = 1873291*n**2. Give x(j(z)).\nAnswer: 46832275*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 96572 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - 3 - 2)*(0*j + 0*j - 2*j) + 6*j - 4*j - j - 2*j + 0 + 0 + 3 - j - 3 + 0 + 0 + j + 0 + 0 + j)*(1 + 6 - 2) to the form n + d*j and give d.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 80248 + -3852053\/48. What is the common denominator of x and -47\/42?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mcz when three letters picked without replacement from {c: 3, r: 1, z: 3, d: 1, m: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of 139*h**5\/20 + h**4\/4 - h**3\/3 + 3*h**2\/2 - 2*h. Is x(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -8*j - 39. Let c(b) = 7*b. Give -2*c(s) - h(s).\nAnswer: -6*s + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(2*sqrt(64)) + (sqrt(833))**2*-5*-2.\nAnswer: sqrt(17)\/8 + 8330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 10*d**2 + d - 1. Let x be a(1). Calculate the highest common divisor of 25 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43777425?\nAnswer: 3, 5, 19, 31, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 2) + 0 + -1. Let g = -10.15 + 10.05. What is the closest to g in 0.4, j, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5478748 is divided by 273937.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 7*o**2 + 5*o - 3. Let l = 4 - 10. Let v be r(l). Let u = 4\/17 - 62\/119. Sort 0, v, u in descending order.\nAnswer: v, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 258403699 to the nearest one million.\nAnswer: 258000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22753, 22751, 22749, 22747, 22745?\nAnswer: 22743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 419417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 17*y + 13. Let r be ((-4 - -6)\/((-1)\/11))\/2. Let d be b(r). Let z = 62 + d. Solve -5*o - 34 = -z for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, 11\/13, 0.2, 4, 6 in ascending order.\nAnswer: -1\/7, 0.2, 11\/13, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1582752 and 18896?\nAnswer: 1869230112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14883051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59650 is divided by 2209?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {g: 3, c: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406209 is divided by 81241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2833, 11152, 25095, 44728, 70117, 101328, 138427, 181480?\n\"Answer: 11*n**3 + 2746*n**2 + 4*n + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - w. Let y(i) = 0*i + i**2 - 5*i - 2 - 3*i**2. Suppose -5*c - 5*g + 5 = -0*c, 4*g = c + 24. Give c*k(r) + y(r).\nAnswer: 2*r**2 - r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -705 + 704.9. Put 3, 11, d in ascending order.\nAnswer: d, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1354843 times 153\nAnswer: 207290979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*u - 18322 = -7322. Calculate the greatest common divisor of u and 850.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301896 a multiple of 317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one twentieth of a meter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1156.684855 rounded to 1 decimal place?\nAnswer: -1156.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*o + y + 7, 4*o + 2*y - 10 = 0. Let r = o - 0. Suppose -2*c = 4*m - 58, c + r*c - 5*m = 115. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-4)\/(-8))*-4*33\/(-22)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o**2 - 71*o + 24. Let n be c(-24). Let i = -33 - -53. Solve n*z + 3*j + i = 4*z, -4*z + 20 = 4*j for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 8*x**2. Suppose -2*n - 60 = -8*n. Let d(m) = -29*m + 10*m + n*m + 6*m. Determine d(y(w)).\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 4*q**2 - 5*q + 5. Let u(l) = -6*l - l**2 + 3*l + 9 - 4. Let x be u(-5). Let c be h(x). Solve -2*a - v = 13, 0 = -a - v + c*v + 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 + 4)*(3 - 61*c + 69*c - 3 - 362*c).\nAnswer: -2478*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -101*d - 603. Let p be a(-6). Put -66, p, 0, -4 in decreasing order.\nAnswer: p, 0, -4, -66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 + 58. Suppose -3*o + 5*b - 11 = -4*o, z*o = 4*b - 4. Solve 2*t + 2*f - o = t, 3*t + 1 = -4*f for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.36 rounded to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**2 - 3*d**2 + d**2 + 5*d**2 - d**2 - 3*d**2 + (2*d + 2*d**2 - 2*d)*(-2 + 2 - 1) + 2 - 2*d**2 - 2.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 7*r + 23 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1479898.48 to the nearest one hundred.\nAnswer: 1479900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4068 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3244 take away -0.1?\nAnswer: 3244.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20417 + 28587. What is c rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7, -332.\nAnswer: -332, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 3\/53, 57, 0?\nAnswer: 3\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 20*g**2 + 7*g - 2141. Determine y(-24).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence otb when three letters picked without replacement from {i: 1, s: 1, b: 1, j: 5, o: 3, t: 2}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (3 - (10 + (-16 - -9))) - (-6 + -20)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-2) - (-9 - 0). Let m(r) = 30*r - 10. Let x be m(a). Suppose -10*y - x + 1840 = 0. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 8*f**2 - 3*f - 28. Let s be w(4). Suppose -32 = -s*b + 8*b. Let z(y) = 8*y + 1. Let q be z(2). Solve -3*k = q - b for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 442678 and -8.5266164.\nAnswer: 442669.4733836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2574\/(-1443))\/66*-6.\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 165838?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*j - 2*j - 4*j**4 + 2*j**4 + 7*j wrt j?\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/10 - (-2 + (-58)\/(-30)). Let r = -0.06 + -0.24. What is the nearest to d in 0.5, 1\/4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42033 to the power of 1\/2, to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137976 is divided by 133440?\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53208.\nAnswer: 2, 3, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95\/((-7125)\/75)*4\/(-6)*87.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(sqrt(3)*-1) + sqrt(88)*-2)\/(-4*-1*sqrt(11)*1).\nAnswer: -5*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24 plus 0.97?\nAnswer: 0.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -4*m - 1860*x + 1865*x, 4*m = -2*x - 10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + 75. Suppose 4*o - 4*l = x, 0 = 2*o + 4*l - 11 - 11. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1617.8 - 1617.5. Let p = -0.1 + 0.8. Which is the second smallest value? (a) q (b) 5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 933509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48669.4l to millilitres.\nAnswer: 48669400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -533124 + 6?\nAnswer: -533115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -929 by 3.\nAnswer: -929\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, a: 3, j: 1}. Give prob of picking 1 a and 1 j.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 - 28. Let l = -0.7 + 0.3. What is the nearest to 0 in i, -0.2, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 11*p**3 - 4*p**2 + 5*p - 7. Is 29 a factor of m(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 1329999*v**3 - 2*v**2 - 3*v - 2. Let m be -1 - 0 - (1 - 1). Let a be b(m). What is a rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1158, -2294, -3408, -4500, -5570, -6618, -7644?\nAnswer: -8648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 426, 404, 382?\nAnswer: 360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20909319 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - 86 - (15 - (-20 + 2 + 9)).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*a + 3, 2*j - a = 25. Let q be -2 + 1 - (-1 + j). Let k = 27 + q. Is k a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -76\/187417221 and 73\/4532460?\nAnswer: 3748344420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 14*l + 9*l = 5, 3*z + 5*l - 3 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 8877.\nAnswer: 35508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**2 - 3*d + 2. Let o be f(-3). Let i = o + 76. Suppose 17*h = 10*h + i. What is the least common multiple of 15 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 6, -5, -1, 5 in decreasing order.\nAnswer: 14, 6, 5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1346, -1341, -1324, -1289, -1230, -1141?\nAnswer: -1016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 436402533 to the power of 1\/4, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 515992470 divided by -4074\nAnswer: -126655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 2577?\nAnswer: -4\/2577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 5*y**2 + 5*y - 2. Let j be (-1)\/6 + 93\/18. Suppose 5*i - 5*w = -50, 2*i + 38 = -i + j*w. Calculate f(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 407675119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/19 and 99\/76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 30664 or 183977\/6?\nAnswer: 30664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 3\/(11\/(880\/12)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + o**3 + 1)*(-98*o + 216*o + 101*o)*(-1 + 6 - 3)*(0 + 3 - 2).\nAnswer: 438*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/5004 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-18)\/(-6) + 365 - (2 + 0).\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 107\/(-2) - -1 - (-63)\/(-42). Let c = h + 64. Differentiate -c - 15*s**4 - 11*s**4 + 5*s**4 + 0*s**4 with respect to s.\nAnswer: -84*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9 and 4184.\nAnswer: 4175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*n*n**(7\/5))*((n**(7\/6)*n)\/n)\/n assuming n is positive.\nAnswer: n**(-67\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j**2 - 140*j + 1217. Let b be l(9). Calculate the greatest common factor of b and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 0.22?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 6:24 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -710067 (base 15) to base 16.\nAnswer: -51e24b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*l + 324 = 0, 6*l - 106 = d + 9*l. Let c = d - -132. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/733028049 and 139\/36.\nAnswer: 2932112196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a gram in milligrams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**4 + n**4 - n**4)*(-310 + 307 + 332).\nAnswer: 987*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.55 rounded to 0 dps?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-4))\/(7*12\/(-168)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2115740 to the nearest 100000.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 16283 divided by -17?\nAnswer: -16283\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -519 = v - 526. What is the smallest common multiple of 77 and v?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 1. Let o(k) = 77*k**3 - 2*k + 76*k**3 - 152*k**3 - 2. Let z(m) = -m - 1. Give h*z(t) - 2*o(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u**2 - 2*u + 1. Let k be b(1). Let y(v) = -26*v**2 + 3. Let r(c) = 25*c**2 - 2. Let n(o) = k*r(o) + 2*y(o). Let q(a) = 2*a. What is q(n(j))?\nAnswer: 46*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -865, -909, -953, -997?\nAnswer: -1041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**3 + 18*l**2 + 5*l - 5. Let t(q) = -q**3 + q**2 + q - 1. Let b(w) = -g(w) + 5*t(w). Find the third derivative of b(c) wrt c.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**3 - 3*u**2 - u + 2. Let s = -8 + 7. Let c(t) = -11*t**3 + t**2. Calculate the lowest common multiple of c(s) and k(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -282492237*q. Let h(s) = 2*s. What is u(h(a))?\nAnswer: -564984474*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1855809 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2*o = -158, -r - 2*o - 1 = -39. Suppose 35*s - r*s = -350. What are the prime factors of s?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 73, 77, 85, 97, 113, 133?\n\"Answer: 2*c**2 - 2*c + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 38 and 3.299.\nAnswer: 125.362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -61 + -4715606?\nAnswer: -4715667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(-35) + 16094\/(-168). Let r = n - -96. What is the second smallest value in 0, 3\/4, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3055.06 at most 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 192486, 384964, 577442, 769920, 962398, 1154876?\n\"Answer: 192478*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 49 and 651?\nAnswer: 4557","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-6)\/(-55))\/((-6)\/(-75)) and (-371)\/(-98) + (-1 - 2).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-84 + 24)*4\/6. What is the common denominator of (62\/(-140) - 20\/w)*1 and 17\/14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 10:46 PM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/5 - (-444)\/(-60)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.778 + -2.235. Let y = -0.013 - u. Let h = 0.502 + -0.002. Put -3\/4, -1\/5, y, h in decreasing order.\nAnswer: y, h, -1\/5, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*z - 31 = -2*j, 12 = 4*j. Suppose 0*w + 2*w + z*b = 614, 2*w = -4*b + 614. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 2*z - 56. Let d(t) = -t**3 + 5*t**2 - 5*t. Let x be d(3). Suppose -x*m - 212 = -7*m. What is the remainder when m is divided by z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - -460?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*z - 46 = -51*z - 4*q, 0 = 3*z - 16*q + 63. Solve -z*i - 3053 = -3152 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.028 - -0.248. Let x = h + -0.02. Is 2\/7 >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*c = -14*c. Suppose 3*f - 5*m = -c*m + 4121, -f = m - 1363. What are the prime factors of f?\nAnswer: 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 p when three letters picked without replacement from pdrpl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -174, -312, -450, -588?\nAnswer: -726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -6*t. Let v(x) = -x + 1. Let s(y) = -g(y) + 5*v(y). Let j be s(0). Find f such that -13*f**3 + 3*f**4 + 10*f**2 + 4*f**3 - j*f - f**2 + 2*f = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 363 - 380 - 66\/4*(-12)\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3553577929?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 73*z - 33. Let x(l) = 72*l - 27. What is -3*o(c) + 4*x(c)?\nAnswer: 69*c - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + -26. Let g = -36 - i. Let a = g - 4. What is the second smallest value in a, 1\/2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1495 (b) 3\/517 (c) -0.095\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2029300 divided by -910.\nAnswer: 2230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -937196, -937183, -937170, -937157?\nAnswer: -937144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 5*r = -z + 1225, r = 5*z - 1231. Let k = z - 249. Let h = -33 + 36. Sort -5, 1, k, h.\nAnswer: -5, k, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*w**2*z + 66*w**2 + 17*w*z wrt z?\nAnswer: 5*w**2 + 17*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of 2*g**2 + 1\/24*g**4 - 1\/6*g**3 + 0*g + 0. Let h(q) = 1. Suppose -5*j - 2*u + 3 = 6, 0 = j - 5*u - 21. What is j*h(p) - m(p)?\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - n + 2*q = 0, 0 = 2*n - q - 9. Suppose 3*w + 12 = 9*w. Find the second derivative of 4*a**3 + n*a - a + a**w - a**2 wrt a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5894 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: Sort 5, 3, -1, 11, -399584 in ascending order.\nAnswer: -399584, -1, 3, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of -7*1*(-432)\/42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 8*g**2 - 11*g - 2. What is h(9)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvkdkokkvdkkvdvdokk. Give prob of sequence dv.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 61*h**2 + 11*h - 6. Calculate the remainder when q(3) is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 - 33.9. Let z = v - 2. Which is smaller: 4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 12*a + 20. Let j be c(-8). Let m be ((-1)\/(-3))\/((-2)\/j). Suppose 3*u - 46 = -2*b, 3*u - 2*b - 54 = -16. Solve -4 = m*s - u for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 21*f + 12. Let r be s(20). Let h(d) = -32*d - 87. Is 13 a factor of h(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.11, 51, 1231 in increasing order.\nAnswer: -0.11, 51, 1231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -192*r**5 + 187 - 77 - r - 39 - r**3 wrt r.\nAnswer: -3840*r**3 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/5 - 738\/(-120) - (-12)\/(-8). Which is greater: 4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o**3 - 11*o**2 + 2. Let n(v) = v**3 + 4*v**2 - 1. Give 3*g(h) + 8*n(h).\nAnswer: -4*h**3 - h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20154920 a multiple of 275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2665454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 17*q + 247. Determine v(-14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + 3*y + 2*y)*(77 + 0 + 55)*(4*y - 4*y + 2*y).\nAnswer: 264*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1163.99992245 + -1164. What is b rounded to six dps?\nAnswer: -0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -194 minus 4779236.4?\nAnswer: -4779430.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 361 - 352. Suppose r*b - 36 = 15*b. Let t(f) = f**3 + 7*f**2 + 4*f - 2. Determine t(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 5*d**2 + 7*d - 10. Give z(5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r - 13*r + 3*r - 9*r + 2 + 12*r.\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-24)\/777)*8*(-46)\/1288?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/3675009 and -97\/3128.\nAnswer: 29400072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 12 - 8 + 21 - 17*b.\nAnswer: -17*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.3 - -4.3. What is the closest to -0.2 in s, 2, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -414 - -4333?\nAnswer: 3414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from ffffffffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((4\/(-22) - 0)\/1)\/(-3). Which is smaller: s or 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 171 and 187188.\nAnswer: 561564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4780381 (base 9) to base 5\nAnswer: 1130420121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((53\/(-159))\/((-1)\/(-3))). Let y(l) = 2*l**2 + 3*l**2 + 0*l**2 - l. Determine y(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 192202312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 535 - 514. What is the remainder when 115 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361823.\nAnswer: 7, 11, 37, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-11)\/44)\/(2\/8). Let r be (-38)\/56 - (-40)\/(-70). What is the fourth biggest value in 1\/9, r, n, -4\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*t + 3*n + 23, -8*t + 2*n - 20 = -t - 5*t for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b. Let w(u) be the first derivative of 13*u**2\/2 - 19. What is s(w(l))?\nAnswer: -13*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -65685, -131370, -197055, -262740, -328425, -394110?\n\"Answer: -65685*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2802 - -5778. Is m a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 753 - 753. Suppose m = 5*d + 5, 0 = -5*z - 14*d + 15*d - 19. Put 8, 4, 1, z in increasing order.\nAnswer: z, 1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42681101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-138)\/(-18)*(-54)\/198*11.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = 6*a - 2886. What is the remainder when a is divided by 76?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -113*n - 2. Let a be o(-4). Let y = 10 - 4. Suppose y*h - a = h. Does 30 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4974740401 to the power of 1\/3, to the nearest integer?\nAnswer: 1707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13561501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z = -4*b + 22, 0 = -4*z - 5*b + 93 - 94 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -81 + (2 - (-16 + 28)) + 16 - (0 + -2)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 376081?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 897*m = 571*m - 9780 for m.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 52. Let a be r(0). Let v = -48 - a. Suppose 5*n - u - 5 = -2*u, -2*u + 10 = 3*n. Solve n = -v*h + 6 + 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 45*q**2 - 13*q + 40. Let t(v) = -3*v + 8. Give d(k) - 5*t(k).\nAnswer: 45*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 126*t**3 - 157*t**2.\nAnswer: 756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/(-2))\/((-56)\/84). Let f be s\/15 - 62\/(-5) - 0. Is 687\/f*(4 - -1 - -7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v + 3*x + 10, -2*x = -5*v - 35 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(110)\/(sqrt(8)\/sqrt(4)*-1))\/(-2*1*sqrt(1100)))*-6.\nAnswer: -3*sqrt(5)\/10 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 551223 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(700) + 0)*-1 + 5)*4)**2 + -2.\nAnswer: -25600*sqrt(7) + 185598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 r when three letters picked without replacement from eryernneye.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, u: 1, p: 1, h: 3, c: 1}. Give prob of picking 1 c, 1 h, and 1 u.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27754*h = 26224*h + 169830 for h.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -765 (b) 10 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/3)\/1)\/((-292)\/(-438))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 6*o**2 - 14*o + 196. What is the tens digit of q(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 11:26 PM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 142.\nAnswer: -3\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -107383*s**2 + 1427*s - 1072240882.\nAnswer: -214766*s + 1427","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qqqqqqqqqqqqqqqcqqqq.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/6)\/a**5)\/(a**(-1\/5)\/a**(-1\/6)))\/(a\/(a*a**(-1\/9))*a*(a**0\/a)\/a*a*(a*a**(-6))\/a*a*(a**5*a)\/a*a) assuming a is positive.\nAnswer: a**(-266\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 151, 749, 1739, 3115, 4871, 7001?\nAnswer: 9499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 11505608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9367 - -9372. Find j such that 0 - 8\/15*j**4 - 2\/15*j**f - 4\/15*j**2 - 2\/3*j**3 + 0*j = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 5*q + 7. Let k be m(-6). Is (-1 - 10)*-4*k a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -207630606 and -87196?\nAnswer: 207543410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*u = 27*u + 25. Sort u, -1, -2, 1 in ascending order.\nAnswer: -2, -1, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + s - 153 = 0, -2 + 26 = r + 5*s. Suppose -5*g + 29 - r = 0. Let f = -23\/2 + 11. What is the closest to f in g, 4, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/((-1326)\/24)*(-8)\/(-640)*8.\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -19\/99?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 133 and 3325.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (45\/(-10) - -3)\/(1\/(-2)). Suppose -i*o - 145 = -8*o. Does 16 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1528*k**2*r**2 + k**2*r*u**2 + k*r**2*u**2 - 20*k*r - r**2*u**2 - 10*r*u**2 wrt k?\nAnswer: 3056*r**2 + 2*r*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 8143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -243260 by 10.\nAnswer: -24326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.676 + 3.276. Let o = 0.22 - 0.72. What is the third biggest value in -3\/7, f, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -570.897 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3103\/10 - -310. Let n = -4\/5 - p. Let b = -1.8 + 2. What is the third biggest value in b, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 = -14*o - 43 - 23 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 3:57 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1819 + 441. Round f to the nearest 100.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - b + 8, 6 - 3 = 3*o + 2*b. Calculate the lowest common multiple of 6 and (-2 - o)*(1 + -6).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 463*y = 469*y - 12. Let k(j) = -j**3 + 2*j**2 - 6*j + 4 - 5*j + 10*j - 2. Calculate k(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*-2 - (-801)\/387. Let a = b - -123\/86. Factor -a*j**2 + 2 - 2*j.\nAnswer: -(j + 2)*(3*j - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70007339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, o: 3, q: 8, i: 7}. Give prob of picking 3 q and 1 w.\nAnswer: 112\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 117, -5, 11\/3, -1\/3, 5 in increasing order.\nAnswer: -5, -1\/3, 11\/3, 5, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -15 times -0.1912\nAnswer: 2.868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 7 = -35. Is 6 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-10)\/(-12) - 0\/6 and -24\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*s = 3, -2*b + 98 = 2*s. Suppose 8*x - 10*x + b = 0. Is x a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/6 + 113*t\/6 - 58.\nAnswer: (t - 3)*(t + 116)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 0.5 (c) -0.2 (d) 2\/7 (e) -31 (f) -0.79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.5, -194, -5.\nAnswer: -194, -5, -0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t + 3*q + 14, -8*q - 30 = -19*t + 21*t for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7840\/47 less than 168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4965 and 1545?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 230400 divided by 256?\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and 546?\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-247)\/(988\/(-2420)))\/((-15)\/3)?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -227293 (base 13) to base 8\nAnswer: -3070671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 934557 is divided by 8988?\nAnswer: 8793","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 2*f + 6, -2*b + 3*f - 13 + 5 = 0. Solve 0 = -5*y + 10, -2*y + y + 8 = -b*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18258, -850, 1 in descending order.\nAnswer: 1, -850, -18258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 3\/5 (b) -29.9 (c) 0.08 (d) 0.1 (e) 35\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36054197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 8:11 PM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a millimeter in micrometers?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*p = -564. Find the third derivative of 4*g**2 + p*g**5 - 6*g**6 + g**6 - 141*g**5 wrt g.\nAnswer: -600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k = -43*k - 102 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 c, 1 s, and 1 w when four letters picked without replacement from {c: 1, s: 4, w: 1, k: 1, p: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-7)\/j)\/j**11 assuming j is positive.\nAnswer: j**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4*a**2. Let h(d) be the second derivative of d**3 + 11*d - 2. What is h(w(q))?\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73440\/(-60480)*(-21)\/(-1).\nAnswer: -51\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1083, 1074, 1039, 966, 843, 658, 399?\n\"Answer: -2*t**3 - t**2 + 8*t + 1078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 334 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a**2 + 2*a**2 + 21*a**2.\nAnswer: 17*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-6) + (-4 - (-80)\/15). Suppose j*o - 176 = 326. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -603437191 rounded to the nearest 10000?\nAnswer: -603440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12855 is divided by 11305.\nAnswer: 1550","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(1\/3)*x)**(2\/93)\/(x**(-5)*x*x**8\/x) assuming x is positive.\nAnswer: x**(-827\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39 and 9.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*(-7)\/42 - 1) + 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 11*n**3 - 15*n**2 + 5*n + 5. Let s(o) = 3*o + 2193 + 6*o**3 - 1093 - 1097 - 8*o**2. Calculate -5*s(w) + 3*t(w).\nAnswer: 3*w**3 - 5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 0 - (-4 + -36 + (9 - -21))) + 23.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*l + 2 - 2 - 159*l.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + -2 + -5 + -29 + 32 + 57.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 477532?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 32*j**3 - 4\/3*j**4 + 0*j**2 + 0*j.\nAnswer: -4*j**3*(j + 24)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 10*t + 3. Let k be m(-1). Let i(y) = -y**2 - 8*y - 1. What is i(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -1) + -1 + 5 - (4443 - 4466)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/6*(-18)\/(-24). Let l = -33\/20 - x. Let t = 49 + -346\/7. Which is the nearest to -1? (a) -2 (b) t (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -874 + 910. What is the greatest common factor of 684 and q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (23 + (-19 + 8 - -17))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -9*v - 78 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25 and 80.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -48*t**2 + 9*t - 6. Let i be d(8). Find the common denominator of (3\/(-12))\/((-27)\/(-4914)) and i\/(-84) + (-2)\/7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -376.7 - -49.7. Let s = -331 - r. What is the nearest to 2\/3 in 2\/17, s, -1.1?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*z = 8*z + 12, -z = -2*l + 6. Factor -3*n + 25*n + 8*n + 3*n**l + 75.\nAnswer: 3*(n + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (-2 + 10\/4)*132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z = -10*z - 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 22*d - 1191. What is g(67)?\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1195593.2199932 - -1195593. Let v = 0.22 + s. Round v to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 746\/15 + -242\/5. Which is the closest to 0.01? (a) -0.03 (b) p (c) -0.1 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n + 7*n**3 - 2*n**3 - 9*n**3 to the form m*n + f + v*n**3 + y*n**2 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 4bc55a3?\nAnswer: 4bc55a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d + 2*d - 2*d + (0*d - d - 4*d)*(-2 + 3 + 2) - 3*d + 0*d + 2*d to the form m + g*d and give g.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + (-66079)\/(-2415) + (-2)\/21.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 11*z + 54 = 0, -2*b + 6*z - 4*z = -6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 187002 divided by -714\nAnswer: -31167\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 14 = -2*k, 4*k + 52*x + 4 = 50*x. Factor 2662\/7 - 726\/7*n - 2\/7*n**3 + 66\/7*n**k.\nAnswer: -2*(n - 11)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 2:22 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddz when three letters picked without replacement from {z: 1, d: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*o - 182 - 42*o + 440 + 1721 to the form u*o + m and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 45\/32194451?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 less than 74.3?\nAnswer: 132.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 110, 188, 326, 542, 854?\nAnswer: 1280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/12)\/(2\/16). Let n(s) = 5*s - 1. Suppose 3*r + 2*g - 15 = 2*r, -12 = -2*r + 2*g. Let v(p) = 4 - 5 - 1 + 11*p. Determine c*v(k) + r*n(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 - -478)*(77 - 49) a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4 = 0, -3*w + q + 81 = 17. Let y = w - 21. Is y at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 less than 23626193058.9?\nAnswer: 23626193126.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(4\/25)*o**(-11)\/o)\/(o**(-2\/31)\/o)**(-19))**47 assuming o is positive.\nAnswer: o**(-1167997\/775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -6*u + 5. Let b(c) = -c + 1. Suppose 6*x - 6 = 6. Calculate x*o(a) - 10*b(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3244\/9 + -363. Let i = -20\/9 - r. Let l = -11 - -6. Sort 2\/9, i, l in descending order.\nAnswer: i, 2\/9, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -228 (base 14) in base 9?\nAnswer: -525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 20 = 0, f + 3 = 3*u - 2*u. Calculate the remainder when 4 is divided by u\/21 - (-8)\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2698 and 3266.\nAnswer: 62054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2691 at least -109129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 0.291.\nAnswer: 0.873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + g**2 + 1 + (-g + 4 - 4)*(-3 - 2*g + 3) + 21*g**2 - 320*g**2 - 527*g**2.\nAnswer: -823*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + c - 64. What is z(-7)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/(-10) - -13) + (-16 - (-1 - 5)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -77, -124, -177, -236?\nAnswer: -301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**3 - 22*m**2 + 60*m - 10. What is d(3)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 4530.\nAnswer: -1\/4530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 5*f + 981, -2*j = 2*f + j + 397. Let z = f + 2563\/13. What is the biggest value in z, -0.04, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + ((-4)\/(-19))\/2. Let c = 1427\/30 - -149\/15. Let q = -170\/3 + c. Sort t, 0.2, q in ascending order.\nAnswer: t, 0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-31)\/32 + 1)\/1. Let j = -448 + 14313\/32. Let z = m - j. Which is greater: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/144 - (24 + (-579)\/24)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/108)\/(10\/30). Sort 4, 236, -2\/7, g in descending order.\nAnswer: 236, 4, g, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**4\/5 + 224*h**3 + 10998*h**2\/5 - 224*h - 2200 = 0. Calculate h.\nAnswer: -550, -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 163369639 at least as big as 163369640?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of c**8\/1680 - c**5\/60 - c**3\/3 - 2. Let x(w) be the third derivative of p(w). What is the second derivative of x(l) wrt l?\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/64*15\/(-9)*(-18)\/54.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 10}. What is prob of picking 4 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*h + 90*h**3 + 2666 - 79*h - 2662.\nAnswer: 90*h**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 12*q - 12. Let g be f(13). Let y be -1 + -1 + g + 0. Let k = 0.5 + -0.3. Which is the closest to -1? (a) y (b) k (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253 + 314 = -21*x - 42*x for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -30\/11 and (36\/30)\/(9\/40)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-5)*x*x)\/x**(-2\/7))**8)**(-21) assuming x is positive.\nAnswer: x**456","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3774.683 rounded to the nearest 100?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 4*b**2 - 6*b + 3. Let p = -57 + 6. Let i = p + 46. Does 29 divide x(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00062755 rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-261)\/638 - 1*(-2)\/(-22). What is the nearest to g in -2, 1\/258, -3?\nAnswer: 1\/258","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 10*a**2 - 3*a - 12. Let p(i) = 9*i**2 - 3*i - 9. Give 2*l(f) - 3*p(f).\nAnswer: -7*f**2 + 3*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -21 - (14 - 5) - 3\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**5\/5 + 2*j**4 - 18*j**3\/5 + 14*j**2\/5 - 4*j\/5.\nAnswer: -2*j*(j - 2)*(j - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*c + f - 2 = -167*c, 5*c = -2*f + 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1 - 4 + 3 - 88*a.\nAnswer: -88*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a meter in micrometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -n**3\/6 - n**2\/2 - n. Let v be i(-2). Let a(q) = -5*q**2. Let b(x) = 10*x**2. Let t(l) = -7*a(l) - 3*b(l). Calculate t(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**4 - 402*f**3 - 2381*f**2 - 1980*f = 0. What is f?\nAnswer: -396, -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 288*d - 17942. Calculate l(91).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of r**2 + 6*r + 14. What are the prime factors of k(3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5204295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 34 - 11\/(66\/(-36)). Calculate the greatest common divisor of 5 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g**2 + 2 - 2)*(391*g + 384*g + 384*g - 1331*g) to the form c*g**2 + p*g + l + q*g**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 7*s - 2. What is c(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + g. Let v be q(-2). Let o be (-294)\/(-105) + (-1)\/(-5). Solve o = -j - v for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (9 - 8)\/(2\/1418) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/(-1) - (1 + 0). Let x = a + 21. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -0.0949.\nAnswer: -0.00949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 685380 to the nearest ten thousand.\nAnswer: 690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 159 = -5*l + 3*n, -3*l - n + 104 = 0. What is the greatest common divisor of 217 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70 + 70 + 18*s + (5*s - 4*s - 2*s)*(0 - 3 + 2))*(-2*s - 4 + 4).\nAnswer: -38*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 11 = -4*x, -3*x - 12 = -5*l + 16. Let n = 3653.8 - 3654. Which is the closest to -2? (a) l (b) n (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 - -27. Let z(f) = 25*f - 3. Let l be z(r). Calculate the greatest common divisor of l and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3087340626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)*-1)\/sqrt(6))\/(2*sqrt(392) + sqrt(392)).\nAnswer: -sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1888 or 10570?\nAnswer: 10570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -8*u - 1. Let b be x(-4). What is the greatest common divisor of 248 and b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/2 - 6) + 27\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 125 and 10625?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -314?\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -113 + 118. Suppose -6*a + 40117 = x*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/((-99)\/11)*1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 23457, 46915, 70373, 93831, 117289, 140747?\n\"Answer: 23458*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2848 + 850 = 2*y. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 603\/1432 - 53\/179. Let n = -2.01 + 0.01. What is the closest to n in 3\/7, -3, p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**3 + 953*k - 953*k + 0*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 2*p - 2*p - 64 = 0, 4*q + 424*p = 419*p - 35 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.79721 years to millennia.\nAnswer: 0.09479721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29378526?\nAnswer: 2, 3, 4896421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 172, -7 in ascending order.\nAnswer: -7, 1, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 41496 less than or equal to 41490?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*180*37\/5180.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 681198 is divided by 597.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 31*b - 18. Let s(u) = 17*u - 8. Let i(o) = 7*s(o) - 4*y(o). Suppose 0*a + 18 = -2*a. What is the tens digit of i(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/21*((-171)\/(-18) - 8)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19566857.\nAnswer: 19566857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13933827 is divided by 1359?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1597 less than -4?\nAnswer: -4.1597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.2304 - -1.33. Let m = i - 0.125. Let g = -0.019 - m. What is g rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/372 and -83\/240?\nAnswer: 7440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*j**4 + 7179*j**3\/2 - 544428*j**2 + 4530735*j\/2 - 2381643 = 0. What is j?\nAnswer: 2, 9\/4, 297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13860390*v - 2565988?\nAnswer: -13860390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 760 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {v: 11, k: 5, u: 3, r: 1}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - (86 - -9)) + 12 + 11.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 1 + 4 = -5*p, 3*p + 12 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**4 + c**4 - 5*c**4)*(-13 + 4 + 8 - 30*c) - 1 + 1 + 2*c**5.\nAnswer: 32*c**5 + c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -5\/12*n**4 - 3*n**2 + 0 - 5*n - 1\/20*n**5 + n**3. Give i(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 22*y - 67. What is l(-19)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 988 and 991 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hphhxxxxxxpphp. Give prob of picking 2 x.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6200 divided by 11941\nAnswer: 6200\/11941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**3 - 108*k**2 + 8*k - 163. Is y(44) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-18) + (-19856)\/(-72). Is (-20)\/(-6)*q\/10 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 71.46 (c) 0.31 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4192*y - 744 = -4150*y + 222 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2354, 8902, 19816, 35096, 54742, 78754, 107132?\n\"Answer: 2183*a**2 - a + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1967, 3932, 5893, 7850, 9803?\n\"Answer: -2*y**2 + 1971*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -390, -1595, -3558, -6249, -9638?\n\"Answer: 5*x**3 - 409*x**2 - 13*x + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 1194*p**4 + 8*p**2 - 20*p - 15. Let w(c) = 2385*c**4 + 14*c**2 - 41*c - 30. Let y(x) = 7*a(x) - 4*w(x). Find the second derivative of y(i) wrt i.\nAnswer: -14184*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 476507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -160 + 156. Let z be ((-32)\/4)\/(1 + 0). Is z\/j + (-1 - -492) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1139845\/6, 2, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -7. Let w = 67\/22 + -17\/11. Which is the third smallest value? (a) n (b) w (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 331029.1, -13, 5?\nAnswer: 331029.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 13, h: 5}. Give prob of picking 2 o.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*p**2 - 1\/4 + 1\/2*p**3 + 0*p.\nAnswer: (p + 1)**2*(2*p - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 309*c**2. Let g(y) = -2*y**2. Calculate g(d(s)).\nAnswer: -190962*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44165560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12 (b) 3\/2 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 678 + -330. Suppose -5*a + o - 78 = 0. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7, e: 5, n: 1, q: 5}. What is prob of sequence ffqf?\nAnswer: 35\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k - 38. Let h(g) = -6*g - 61. What is m(h(a))?\nAnswer: -6*a - 99","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -11.6. Let h = 0.4 - l. Sort 1, 3\/4, h in descending order.\nAnswer: 1, 3\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.3 - -2.1. What is the third smallest value in -3\/4, j, -4\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.03, -1\/10, 0.3, 0.5?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/16 of a meter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 830 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56 + -48. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4372 (base 9) in base 5?\nAnswer: 100344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2032 is divided by 337?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/3 - (5 + (-80)\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*k - 39 - 36. Suppose -23 = -0*c - k*c - 4*d, 4*c + d - 14 = 0. Solve c*x = -5*h - 13 - 3, 13 = x - 2*h for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - -5. Let s = f + -19. Let i = -2.4 - s. Which is the third biggest value? (a) i (b) -0.2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of 7*m**4\/24 + 5*m**3\/6 + 2*m**2. Let t(u) = -3*u - 2. Let z(n) = 4*k(n) + 9*t(n). Calculate z(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*u - 9*o + 12*o + 33, -4*o - 2 = 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = w + g - 20, -5*w + 13 = -4*g for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1790551 divided by -740?\nAnswer: -1790551\/740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 7:59 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4630840792.\nAnswer: 2, 23, 25167613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 9*y + 1 + 2 = 0, 4*x - 5*y = 143. What is the least common multiple of x and 450?\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*l*p**2 - 87*l*p*v**3 - 10*l*v**2 - 3*p**3*v**3 + p**3*v**2 - 2*p*v**2 wrt v?\nAnswer: -522*l*p - 18*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24636 - -24645. Solve n*g + 18 = 12*g - 3*z, 3*g - 2*z - 11 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -123*p - 391501 + 380062 for p.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-320)\/(-2) - (6\/1 - 1)?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7075423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 1 - 61*p + 99*p - 39*p. Let h(i) = i + 4. Let b be h(-7). What is x(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -860 (base 15) in base 16?\nAnswer: -762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 6*s**2 + 10*s + 13. Let a be w(-7). Let b = a - -10. Suppose 5*d + 4*n = 474, -b*d + 2*n + 200 = n. Is d a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-70*v + 713 + 44*v + 25*v)*(-4*v + 2*v + 0*v) as l*v + k*v**2 + s and give l.\nAnswer: -1426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111222 + -2021?\nAnswer: 102201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1290)\/(-27) - (-4)\/18. Suppose -s + j = s. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 187447486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j + 5. Let f be d(3). Solve f*z + 11 = -3*i, 0*i + z = i + 7 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*5*(sqrt(2) - sqrt(72)))**2.\nAnswer: 31250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 184712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from huhbbbhhhbihih?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/2*(-24)\/(-18)*1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3570, 2430, -618, -6528, -16254, -30750, -50970, -77868?\n\"Answer: -159*j**3 - 27*j + 3756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fg when two letters picked without replacement from {h: 1, f: 1, r: 4, g: 1, p: 4, z: 1}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 7, 0, 1, -24, -19, -4.\nAnswer: -24, -19, -4, -2, 0, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 66111905593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 28*l - 561. Calculate t(29).\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 6. Let a = -15595 + 15598. What is the biggest value in b, -2\/27, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**3 + 105*z**2 + 640*z + 900 = 0. What is z?\nAnswer: -10, -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216)*2*-1)\/(sqrt(108)\/(1*sqrt(9))) + -5 + sqrt(180)\/(sqrt(1500)\/sqrt(6)))**2.\nAnswer: 54*sqrt(2) + 2083\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2 + sqrt(7) + (sqrt(21)\/sqrt(3)*2)**2 + sqrt(28)\/(sqrt(44)\/(3*sqrt(11))))*4.\nAnswer: 16*sqrt(7) + 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -9*g**3 - g**2 + 1. Let q be i(-1). Let l(d) = -6*d**2 - 144*d + 7. Let v be l(-24). Is q <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15575872 to the power of 1\/2, to the nearest integer?\nAnswer: 3947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3629420 to the power of 1\/2, to the nearest integer?\nAnswer: 1905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -16024*p + 3989973. Determine k(249).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16217\/3 + -913551\/169. Find the common denominator of -127\/30 and s.\nAnswer: 5070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 4*f - 5. Let b be w(5). Suppose 5*a + b*a + 20 = 0. Is ((-6)\/8)\/(a\/176) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -2\/15, 4, 3\/4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 185435 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 10*i**2 + 6079*i - 610. Determine c(-608).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 6:52 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 11 = -3*z. Solve -z*d = d - 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*k**4 + k**2 - 22*k**4 - 29*k**4 + k + 46 - 3*k to the form j*k**2 + o + s*k**3 + n*k**4 + q*k and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) + sqrt(14) + sqrt(168)\/sqrt(3) - sqrt(126)\/(sqrt(45)\/sqrt(5)))\/(sqrt(448) - sqrt(448)*-3 - (2*sqrt(7)*-2 - sqrt(7))).\nAnswer: 3*sqrt(2)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/3, -2\/15, -5, 2, -2, -0.05 in decreasing order.\nAnswer: 8\/3, 2, -0.05, -2\/15, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 6)*(3*m**2 - 2*m**3 - 3*m**2) + 2*m**2 - m**3 - 2*m**2 + (-2*m + 4*m - 4*m)*(0*m + 0*m + m**2) + 207*m**2 - 207*m**2 - 36*m**3.\nAnswer: -45*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -81b (base 15) to base 8.\nAnswer: -3442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1763 is divided by 178.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -244*j - 5. Let f(i) = -209*i - 5. Let l(r) = -7*f(r) + 6*g(r). Suppose 5*x = 22 + 8. What is l(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4 - 8 = 0. Let a(s) = 3*s**2 - 89*s + 60. What is the lowest common multiple of y and a(29)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 284, -19, -1 in ascending order.\nAnswer: -19, -1, 284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5 = -d - 1, z + 4*d + 2 = 0. Let o be z\/2 + 2 + 9. Suppose -2*k + 2*u = -5 - 5, 4*u = -3*k + 8. Solve o = -5*p - 5*w, k*p + 7 = 5*w - 10 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*c - 258 = 52*c - 3*m, -4*c - 4*m = -260. Solve -1100*x = -1109*x - c for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*-1)\/(17\/425*-5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 0 (c) -630\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5388 and 65364?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnuu when four letters picked without replacement from {u: 2, n: 5, m: 3}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 13, 2, -1\/4, 1\/2, -83?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 855155935 to the power of 1\/3, to the nearest integer?\nAnswer: 949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, m: 6, i: 1, x: 1, b: 1}. What is prob of sequence ybiy?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6936\/867 + 65*(-2)\/14*1.\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4)\/j)\/(j\/(j\/j**(-2\/31)*j))*j*j*j**(-2\/3)\/j*j**6*j assuming j is positive.\nAnswer: j**(316\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1109072631 and 0.1.\nAnswer: 1109072631.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 1 - 16 = -3*g, 0 = 2*g - 6. Factor 8*d + 0 + 2 - 5*d**q - 5 + d**3 - 1.\nAnswer: (d - 2)**2*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -529 = -21*d - 361 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/3)*w*w**(3\/26)*w*(w\/w**(9\/7))**(-2\/85) assuming w is positive.\nAnswer: w**(67547\/46410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - u + 2. Suppose -5*b - 4*w = -2*w + 19, 3*b = -3*w - 15. Is t(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38)\/133 - ((-6)\/56*-2)\/(-6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/2 - 28774*y**2 + 575571*y\/2 - 259011.\nAnswer: -(y - 9)*(y - 1)*(y + 57558)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -r**5\/20 + 11*r**4\/12 + 6*r**2 + 22*r. Suppose -5*d - w = -52, 2*d = -4*w - 0*w + 10. What are the prime factors of j(d)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 7 (b) -5\/4 (c) -2\/9 (d) -0.13 (e) -1\/8 (f) -26\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3838*a**3*y - 6300*a**2*y wrt a?\nAnswer: 23028*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 10, d: 4}. What is prob of picking 2 l and 1 d?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8203068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.8 + -52.8. Let x = h - -43.5. What is the closest to 2 in 5, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (783*l**3 - 345*l**3 + 652*l**3)*((-5 + 5 + 2)*(-l - 6*l + 3*l) - l + 0*l + 3*l) to f*l**4 + o + i*l**3 + j*l + v*l**2 and give f.\nAnswer: -6540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**3 - 3*a**3 - 2 + 3*a**3 + 0*a**3 to t*a + s + r*a**3 + u*a**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8579217 is divided by 4289601?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3914, -3727, -3416, -2969, -2374, -1619, -692, 419?\n\"Answer: 2*u**3 + 50*u**2 + 23*u - 3989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 937, 1843, 2761, 3697, 4657?\n\"Answer: t**3 + 899*t + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -16. Let c(w) = -w**3 - w + 1. Let f(n) = 3*n**3 - n + 1. Determine x*f(g) + c(g).\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m*m**(-3\/28)))*m*m*m)\/(m*m**(-13)))**(23\/2) assuming m is positive.\nAnswer: m**(10235\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -70.5 + 70. Let g be 1 + 0 + -5 + 0. Let a be (-6)\/2 - 540\/(-150). What is the closest to -3 in g, a, f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 160?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, e: 3, s: 2, d: 1}. Give prob of picking 2 s and 1 e.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -2*p + 12. Find the common denominator of -151\/6 and (-1068)\/(-90) - (-2)\/p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 217 and 1505.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 - (-28 + -25) - 82.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 - 7. Suppose 5*k + g = -f, 2*k = g - 2 + 1. Let s(j) = 5*j**2 + j - j**2 - 2*j**2 + 2*j + j**3. Calculate s(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6\/83 - -2987\/1162. Let y = 105447\/14 - 7535. Find the common denominator of l and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -4\/5, 98, -2\/59?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, m: 2, f: 1, x: 3}. Give prob of sequence xfmm.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4*t**3 - t**2 - t + 1. Let y be o(1). Suppose 3*a - 19*q = -14*q + 36, -2*a = -2*q - 20. Suppose 4*l = -4*h + 20, 4*h = a*h - y. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 2*y - 3 + 0 + 2*y + 0 + (-4*y + 3*y + 0*y)*(-7 + 3 + 3) + 2 + y - 2 + 0*y - 3*y + y + 5*y - y - 5*y + 2*y - 4*y + y + y + 0*y - 5*y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1502, -5413, -11788, -20633, -31954, -45757, -62048, -80833?\n\"Answer: -g**3 - 1226*g**2 - 226*g - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88 and 1144.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/4830 and -71\/29130?\nAnswer: 4689930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -126.17975 minus -3906?\nAnswer: 3779.82025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + x + 9 = 0, 3*c - x - 535 = -521 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98028920 divided by 2.\nAnswer: 49014460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8841, 8811, 8731, 8577, 8325, 7951, 7431, 6741?\n\"Answer: -4*i**3 - i**2 + i + 8845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 110 - 107. Suppose 16 = 5*t + 6, -s + 2*t + y = 0. Solve a + 2*g = 12, -s*g + 3*g = -16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-18))\/5*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/50 and 6\/25.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 4. Let x be o\/(-11) - (-6176)\/88. Suppose -5*y - 78 = -4*t, -3*t + y + x = 3*y. What is the greatest common divisor of t and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/22 - 42\/(-11). Suppose -5*m - 13 = -b, 5*b - i*m = 2*b + 17. What is the first derivative of 5 - b*u**4 - 2 + 0*u**4 wrt u?\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z**3 + z**2 + 6*z - 10. Does 8 divide j(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 z when three letters picked without replacement from {h: 4, z: 5, k: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/2, 0.2, 2.4, -2\/11.\nAnswer: -5, -1\/2, -2\/11, 0.2, 2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 4, -202 in descending order.\nAnswer: 4, -1\/6, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 130 and 13.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4313*n**3 + 2916*n**3 - 45142*n**2 + 45142*n**2 - 2 as a + r*n**2 + o*n + d*n**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2911 is divided by 255.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1047877.578 to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7753 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + -2*(sqrt(152) + 1*sqrt(152)))\/(sqrt(648)*2 + sqrt(648) + sqrt(648)).\nAnswer: -sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 6*n - 36 = 0. Is 12 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/8)\/(c\/((c\/(c**(-15)*c))\/c)))\/(c**27*c)**(-2\/49) assuming c is positive.\nAnswer: c**(813\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.6 + 6290.58732?\nAnswer: 6281.98732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 6*c = 0. Suppose -3*v + c*v + 135 = 0. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 238314*m**2. Let k(w) = 3*w. What is k(r(v))?\nAnswer: 714942*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4060 by -5.\nAnswer: -812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17244510 and 135?\nAnswer: 155200590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -606 + a775?\nAnswer: a16a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and 2817.8.\nAnswer: 2813.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 10*h**2 - h - 4. Let o be r(-10). Suppose g = o*g - 65. Calculate the greatest common divisor of g and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94360.\nAnswer: 2, 5, 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008310316729 rounded to six decimal places?\nAnswer: 0.00831","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9098653 is divided by 1654.\nAnswer: 1653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.398 * -0.4.\nAnswer: -0.1592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -38, -3 in descending order.\nAnswer: 1, -3, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - -35) + -37 + -13 - 13.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrbsbbrrrs. Give prob of sequence rbsb.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 24 = -2*i, -i - i + m + 16 = 0. Solve -5*d + 23 = -3*y + 7, -3*d = -i for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.46 - 1.56. What is the second smallest value in -4, c, -1, -0.36?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m**(2\/15)\/m*m)*m\/(m*m\/((m*(m*m**(-6))\/m*m)\/m)*m))\/(m\/(m\/(m**(2\/7)\/m*m)))**(2\/21))**(-8))**(1\/11) assuming m is positive.\nAnswer: m**(36224\/8085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1859 smaller than -174807\/94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00867892 to four decimal places.\nAnswer: -0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 1613641?\nAnswer: -1613645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/11? (a) -3 (b) -1 (c) 0.5 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1446992247 to the power of 1\/3, to the nearest integer?\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 84266689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-29) + 2408\/(-1247). Which is the nearest to 1? (a) 0.1 (b) 1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -23674786.55921.\nAnswer: -23674786.75921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 18*k - 15. Let o(y) = 9*y - 7. Let a(m) = -2*b(m) + 5*o(m). What is the units digit of a(18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -886 - -323. Let z = k - -1047. Is 85 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -a**5\/60 + 5*a**4\/24 - 2*a**3\/3 - 12*a**2. Let c be p(2). Solve -5*o - 4*u = 18, -3*o + 0*u - c = -2*u for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 125.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14522 + 19683. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260491256 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 2*i - 3. Let m be f(4). Let b(h) = 311*h + 10. Is b(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 140, -27 in descending order.\nAnswer: 140, 3, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w + 4. Let c be p(0). Suppose 8 = c*i - 116. What is the remainder when i is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 12*y**2 + 2*y + 3. What are the prime factors of j(-2)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -60, 0 in increasing order.\nAnswer: -60, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -31, -54, -97, -166?\nAnswer: -267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -4 (b) 1 (c) -6\/7 (d) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**5\/3 - 1848*q**4 - 11110*q**3\/3 + 12948*q**2 - 22192*q\/3 = 0. What is q?\nAnswer: -4, 0, 1, 2774","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 - -30. Which is the closest to 1\/2? (a) v (b) -3\/4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 3 - 30 = 2*x, 8*x = -32 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-644)\/(-140))\/(12\/(-10)) - -5. Let l(v) be the third derivative of 0*v - t*v**3 - 1\/2*v**4 + 0 - 8*v**2. Find the first derivative of l(w) wrt w.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 863 is divided by 204.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/((-3)\/1))\/((-3)\/4). Let r(y) = y**3 + 4*y**2. Let u be r(-4). Suppose -5*c + u*c + 15 = 0. Solve -c = w*j + 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2. Let p = -22 + 45\/2. Let y(n) be the second derivative of p*n**3 + 0*n**2 + n + 0. Calculate y(v(j)).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00410239 to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 865 + -865. Suppose n = -21*x - 16*x + 71299. What is the hundreds digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1584\/1452)\/(2\/66)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 8 = 5*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11466\/15 - (2 + (-16)\/10). Suppose -13*m + d = -575. Let f = m + -98. Solve 3*p + f*i + 26 = 5*p, i = -4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -395036*k**2 - 395215*k**2 + 790662*k**2.\nAnswer: 411*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -65880 divided by 16470?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 + -22. Suppose -222 + 1482 = g*h. Let r = -124 + 144. What is the highest common divisor of r and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-4)\/117 + 10 + 1696\/(-159).\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w**5 - 5549*w**4 + 77551*w**3 - 337719*w**2 + 464976*w - 199260 = 0. Calculate w.\nAnswer: 1, 6, 5535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 3b?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 254 - 264 - (-18 + -1)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 300 and 102075.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-40)\/12)\/(-1)*3\/(-2). Let j = 0.15 + -11.15. Sort i, 0.3, 3, j in increasing order.\nAnswer: j, i, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39485 + 44*q**2 + 2*q - 82173 + 42688.\nAnswer: 44*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 9) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.2 (c) -245\/13 (d) 1\/7 (e) 0.17 (f) 1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, 0.15, -925, -2\/39?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4593470544.\nAnswer: 2, 3, 13, 29, 191, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/4)\/(((a\/(a*a**2*a)*a)\/a)\/a))**(-6\/13) assuming a is positive.\nAnswer: a**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -c**5\/20 - c**4\/6 - 5*c**3\/6 - 2*c**2 - 7*c. Does 10 divide d(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 0.1, -10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**2 - 100 - 97 + 195 + 11*l**2 to the form r + k*l**2 + p*l and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 23 + 4946c?\nAnswer: 49492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2 = -i - i, 3*k + i = 11. Let a(q) = q - 7. Let x be a(k). Sort 5, 1, x in descending order.\nAnswer: 5, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -261.\nAnswer: 10\/261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 7*u**2 - 6*u + 9. Let j be z(6). Calculate the highest common divisor of 45 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 1 = 2*l. What is the remainder when l is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-9)*-2)\/(12837\/(-3501))?\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -884004*p - 4420021. Give l(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1814 and 11?\nAnswer: 19954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 65*n**3*v**2 + 2589909*n**3 + 1033*v**2 wrt v.\nAnswer: 130*n**3*v + 2066*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 58*y**2 - 53*y - 476. What is the thousands digit of m(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2 + sqrt(272)) + 1)**2 + (-5 + 4 + sqrt(272) + (sqrt(272) - (sqrt(272) + sqrt(272)*-1)))**2.\nAnswer: 208*sqrt(17) + 5490","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(9\/5))\/((z*z*z\/(z*(z*z**0)\/z))\/z))\/((z\/z**(-2))\/z)**15 assuming z is positive.\nAnswer: z**(-141\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3 = 0, 5*c - 10 - 91 = 4*i. Solve -3*b - 96 = c*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 - 3. Let t = p - 37. Let u = -15 - t. Solve -4*w = -u*w - 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 6*i**2 + 2*i - 2. Let d(b) = -12*b**2 - 5*b + 5. Let w(j) = -2*d(j) - 5*m(j). Let g(k) = -3*k. Calculate g(w(f)).\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 12:10 PM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 5*h + 1860, -4*d + 896 = 2*h - 574. What is the highest common divisor of 36 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 452308383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12.2 - -0.2. Let k = -38 + 38.3. What is the fourth smallest value in k, j, 0.5, 1\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39635369 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1365 + 37*p - 6*p - 1384 to z + l*p and give z.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(3\/4)*(r\/r**12)\/r)\/(r**(2\/43)\/r**(-10)))**31 assuming r is positive.\nAnswer: r**(-113553\/172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/6 - 168\/72. Let b be -1 + 1 + u + 8. Suppose 5*j - 2 = 4*m, 3*j + 5*m + b - 21 = 0. Let i(x) = x + 2. What is i(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-150))\/((-452)\/1356).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1293497662338 and 9?\nAnswer: 8.8706502337662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*g + 3907 = -58661. Is 65 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6227254 - 3063252. Let x = -547430 + j. Suppose 20916572 = 3*v + x. What is v rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195764 - 46082 - 155655 = 17672*c - 61733 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 716458, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/((-14)\/(-4) - 2). Let r = 14 - l. Find the second derivative of -5*t + 3*t + r*t + 2*t**2 + t wrt t.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115309, 115303, 115293, 115279, 115261, 115239, 115213?\nAnswer: 115183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 16) in base 10?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*t - 35 = -54*t. Let f be 2*-7*(t - (-11)\/2). Suppose -6 = -l - 2*l. Solve n + f = -l*r - 4*n, 0 = -2*r - n - 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 19*j**2. Let p(f) = -8*f. Let g(t) = 7*t. Let k(i) = 6*g(i) + 5*p(i). Determine k(l(b)).\nAnswer: 38*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 0*u = 0. Suppose q + 11 = 5*s, 3*q + u*q = -2*s + 18. Suppose -3*c + 3 = f + c, -s*c + 5 = f. Do 13 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 14, -3, -1 in increasing order.\nAnswer: -3, -1, -0.1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -539 + 533. Put -18, 5, g in ascending order.\nAnswer: -18, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2c31a8 (base 13) to base 12\nAnswer: 4480a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c\/((c\/(c**(-1\/5)*c))\/c)*c)*c\/((c\/(c**(-4)\/c))\/c)*(c**2)**(-2\/67))**(-5\/3))**40 assuming c is positive.\nAnswer: c**(65120\/201)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*0.029\nAnswer: 0.0058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of s**7\/14 - 2*s**3\/3 - 6*s. What is the second derivative of z(q) wrt q?\nAnswer: 60*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 467377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 8 = 3*v. Let l = v + 2. Let y be 5*-3*l\/(-18). Sort -1, y, 0 in descending order.\nAnswer: 0, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1913 is divided by 72.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 11*a + 1. Let u(r) = -2*r**3 + 19*r**2 + 11*r - 11. Let o be u(10). Determine p(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11401478, 1\/4, -1 in increasing order.\nAnswer: -11401478, -1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/25107? (a) -1 (b) 2\/13 (c) -0.1 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/18898 and -81\/1718?\nAnswer: 18898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*(s\/(((s**28*s*s)\/s)\/s))\/s*s)\/s**6)**35 assuming s is positive.\nAnswer: s**(-1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -138 + 139. Find y, given that y**2 + 4*y**2 + 0 - f - 4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 467071967?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-1254))\/((-1795)\/23694)?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b**(-13\/5)\/b)))\/(b\/b**(2\/169)*b)*(b*b*b\/(b**41\/b)*b)\/b**(45\/4))**(9\/7) assuming b is positive.\nAnswer: b**(-1607337\/23660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -160, -4, 2, -3, -2 in ascending order.\nAnswer: -160, -4, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25.94 - -0.06. Let i = 12 - n. Let f = i - -14.2. Which is the smallest value? (a) f (b) 0.3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a day in hours?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**3 - s**2 - 2*s. Let w(p) = 4*p**2 + p. Let c be w(1). Suppose -3 = -4*k + c. Give l(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-2 - -3 - (-22)\/(-16)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87644358 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a millennium in years?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4538, -4534, -4530?\nAnswer: -4526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -16630.447?\nAnswer: 16630.447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 32 = -4*w, 2*w + 4*t = 8 + 8. Let s = w - -5. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4716 - -9435\/2. Factor 3\/4*s**3 - 3\/4*s - 3\/2*s**2 + n.\nAnswer: 3*(s - 2)*(s - 1)*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283160*w + 283160*w - 5*w**3.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + 3*h + 2, 6*z - 2*h = -64 + 92 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -895 + 898. Suppose o*p - q + 0*q = 15, 3*p + q = 9. Solve -4*x + 3*x = 4*j - p, -5*j = -2*x - 5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.5 (b) -11 (c) 3\/4 (d) -2.1 (e) -1\/2 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/7798 and 11\/10.\nAnswer: 38990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 416, 406, 396, 386?\n\"Answer: -10*p + 426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3*p + 19 = -y, -2*y + 4*p = -22. Let j be ((-24)\/(-16))\/((-12)\/(-32)). Solve r - 1 = -j*g - 9, 8 = -4*g - y*r for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-3)\/(9\/(-11)))\/((-2)\/(-48))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aadadd. What is prob of sequence dd?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 - (-42 - 37 - 13).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*z**5 - 5137363*z**4 + 8157665*z?\nAnswer: -60*z**3 - 61648356*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(((s**(-1\/3)*s)\/s)\/s))\/s**(1\/2))**(-9\/14))**(3\/31) assuming s is positive.\nAnswer: s**(-99\/868)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 8:36 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 596*p - 195. Let z be c(18). Suppose -187*i + 190*i - z = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 710.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1408484 or 1408580?\nAnswer: 1408580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15796*k**3 - 17743*k**3 + 29421*k**3.\nAnswer: -4118*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*h**2 - 69*h**2 + 96*h**2 + 2620 - 2620.\nAnswer: 165*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**5\/2 - 313*m**4\/2 + 309*m**3\/2 + 941*m**2\/2 - 781*m + 312.\nAnswer: (m - 312)*(m - 1)**3*(m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.099 - -0.045. Let d = o + 0.054. Let j = 8.81 - -0.19. Put 0.2, j, d in descending order.\nAnswer: j, 0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 289560163 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -3\/4*x**4 - 1\/3*x**3 - 6*x - 5\/2*x**2 - 9. Does 14 divide j(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 4*i - 3. Let y(s) be the third derivative of s**5\/60 - 5*s**4\/24 - 2*s**3\/3 + 10*s**2. Let z(k) = -5*v(k) + 4*y(k). Determine z(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -16*s + 24. Let o be v(-2). Suppose o*h = 57*h - 5623. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202194408 bigger than 202194408?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4643 is divided by 1503?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 8:32 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 167939.6 kilograms to micrograms.\nAnswer: 167939600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46969 or -46960?\nAnswer: -46969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 0*w + 2*w)*(-14*w - 41*w + w).\nAnswer: -108*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 467 is divided by 154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.6 + 4.6. Let c = 152 + -150. What is the closest to -1\/4 in g, 0.5, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1677452, 1677453, 1677454, 1677455, 1677456?\n\"Answer: q + 1677451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -132*m*t*x + 229*m*t + m*x - 418*m - 168473244*t*x - x with respect to m.\nAnswer: -132*t*x + 229*t + x - 418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 135 + 46 = 0. Let p = -54 - q. Does 20 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + o + 0 + 0 + o - 4*o + 2*o + 0*o + (-3*o + o + 0*o)*(2 - 2 + 1) - 3*o - 4*o + 5*o + 23*o + 22 - 22 + 20 - 20 + 18*o.\nAnswer: 37*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 5, -51, -4646, 1\/6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -93969*j**2*z + 299687726*j**2 + 257*z**3 wrt z.\nAnswer: -93969*j**2 + 771*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -155 (c) 35158\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 69\/76 + -3\/19. What is the nearest to 0 in j, 1\/7, -0.2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {q: 3, f: 7}.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 49266 and 1610?\nAnswer: 246330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 23*r - 7. Let s(m) = -1 + 6*m + 20*m - 23*m. Let l(g) = -3*q(g) + 21*s(g). Let p(u) be the first derivative of u**3 + 1. What is p(l(f))?\nAnswer: 108*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 7:25 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -32\/13 (b) 0.2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50.3757 + -0.3757. Let u = 26254592 + -26254641.999998. Let z = u + n. Round z to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n - 35. Let x be g(10). Suppose x*s + 3745 = 10*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*b - k - 13, 0 = 3*b - k - 11. Solve b*c = c - 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 + -43. Suppose 3*g + g - l - 14 = a, 5*l - 14 = -g. Suppose -g*b + 408 = 2*b. Are 68 and b nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21*(-28)\/(-490))\/(65\/25)\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 950\/228*1*6\/45\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 0.693.\nAnswer: -2.307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 209, 421, 623, 809, 973, 1109?\nAnswer: 1211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4840 a multiple of 242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 82104709703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 10*j**2 - 1232*j - 8768. What is l(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -14*h**3 - 42*h + 42. Let l(a) = a - 1. Give 42*l(s) + m(s).\nAnswer: -14*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 5*1384 - (-104)\/(-31 - -18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*d = 2 - 3, -d = 5. Let i(q) = 2*q**3 - 35*q**2 + 25*q - 118. Let h be i(17). Let c = r - h. Calculate the remainder when 59 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 349778 times -4?\nAnswer: -1399112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -51*b**2 + 3*b + 2. Let t(n) = 3*n - 4*n - 109*n**2 + 7*n**2 + 6*n + 4. Let g(a) = -5*c(a) + 3*t(a). Differentiate g(r) with respect to r.\nAnswer: -102*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -33 in 0.1, 7, 1\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 6*m - 6. Let h be o(2). Let u be (-132)\/(-30) + h + 2\/(-5). Solve -9*w = -7*w - u for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**2. Let s(d) = -9*d - 5. Let r(l) = -14*l - 7. Let i(w) = 5*r(w) - 7*s(w). What is i(x(k))?\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 30*f**2 + 30*f - 25. What is t(29)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (10 + -4)*-1 + 2327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 553*j*m**3 - 27*j*m**2 + 1033*m**3 - 2*m**2 + m with respect to j.\nAnswer: 553*m**3 - 27*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 6*a + 6. What is the units digit of v(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21.1*-615102\nAnswer: 12978652.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*1\/(-15)*18\/6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1 + sqrt(27) + 3)**2*5.\nAnswer: 120*sqrt(3) + 211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 378\/(-63)*1\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by -13.\nAnswer: -23\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -2\/3*g**3 - 2\/5*g**5 - 7 + 4*g + 3*g**2 - 3\/2*g**4. Factor x(s).\nAnswer: -2*(s - 1)*(s + 1)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165192341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**7\/(o*o**(-6\/11)))**37\/((o\/(o*o*o**1))**(-12)\/(o**(2\/5))**10) assuming o is positive.\nAnswer: o**(2444\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 122718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1517*i + 1517*i - 15*i**3 + 14*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by 1290?\nAnswer: 11\/645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 10:39 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -512606908217 and 2.\nAnswer: -512606908215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1217c - 0?\nAnswer: 1217c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/2*2*(-2)\/(-10)*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -9 + (-8)\/(0 - 2). What are the prime factors of (384\/5)\/(j*6\/(-100))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(12)\/sqrt(6)) + sqrt(10))\/(-3*sqrt(72)).\nAnswer: -sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j - 621. Let z(n) = 3*n + 414. Calculate -5*d(y) - 7*z(y).\nAnswer: -y + 207","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.14 - 4.14. Let f = 9 + -8. Let c = 3 - 2.7. What is the second smallest value in f, c, h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37806896 is divided by 12602294.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 494 + -58?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, t: 1, u: 6, c: 2, g: 1}. Give prob of sequence utgu.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w - 16. Let r be x(6). What is the second derivative of 25 - 42 - 5*p**2 - r*p - 5*p**2 wrt p?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3639*c**2 + 294*c**4 - 3639*c**2)*(1 + 1 - 1).\nAnswer: 294*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4064?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 2\/7, -79, 4\/5, 84 in descending order.\nAnswer: 84, 5, 1, 4\/5, 2\/7, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -40*a + 1564. What is the highest common factor of a and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 8:47 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooonfdfedcd. Give prob of picking 2 f.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - -11206.\nAnswer: 11205.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from las. What is prob of sequence sa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 488.589.\nAnswer: 488.889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16842321473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/13 (b) -30184 (c) -5 (d) -26\/5 (e) 2\/3 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-9 + (-1 - -4) + -7). Calculate the greatest common factor of j and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/54 and 29\/492?\nAnswer: 4428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -0.94 (c) 5 (d) -328 (e) 1\/7 (f) -3 (g) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 869*l - 23 = 873*l, o = -5*l - 29. What is the highest common divisor of o and 743?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217445285 - 91?\nAnswer: 217445194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 46, -3, -1, -2, -10374 in increasing order.\nAnswer: -10374, -3, -2, -1, 4, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 584284 is divided by 58.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00979771 to five decimal places.\nAnswer: 0.0098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r - 2*r - 2 - 1. Let w be x(3). Let n be 1\/((3\/4)\/3). Solve -3*y = n*a + 19, 3*a - 4*y + 3 - 20 = w for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*z - 2*u, -5*z + 7*u - 39 = 6*u. Let q = -30 + 30. Let o be (-25)\/20 - (-1 - q). What is the nearest to o in 1, z, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of x**5\/20 + 13*x**2. Let v(t) = 8*t**2 - 1 + 1. Give v(w(m)).\nAnswer: 72*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5336, 10139, 14932, 19709, 24464, 29191, 33884?\nAnswer: 38537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4*n - 3. Suppose 1 = -4*a + 9. Determine j(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3808 and -90252.567.\nAnswer: -94060.567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -57418364190 to the nearest 1000000.\nAnswer: -57418000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 10:08 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30986 - 809.3.\nAnswer: 30176.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 636.9 + -592.9. Which is the nearest to 1? (a) -2\/5 (b) -5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 333 + -157. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*p**3 - 641590*p - 17786826 wrt p.\nAnswer: 36*p**2 - 641590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-66))\/(830\/(-440))?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1223.7 - 1282. Let u = -2810 + 2793.2. Let f = u - q. What is f rounded to 0 dps?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 9 = 5*z. Suppose -z*o = -o + 4*c - 13, -3 = o - 4*c. Let h = -30 + 28. Sort h, o, -1 in descending order.\nAnswer: o, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -5*g**2 - 15*g = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 15 = 0, -438 = -3*k - 0*z + z. Suppose -4*t + c = -k, 5*t - 128 = -c + 49. Is 9 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 68*y**2 - 5516*y + 663. Give t(81).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + c + 0*c + c)*(-344*c + 274*c - 257*c).\nAnswer: -654*c**2 + 2616*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*y + 70 = -41*y + 16*y - 86 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 72288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4834.\nAnswer: 2, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (1*sqrt(171)*-1 + sqrt(171) + 5)*-4*4)**2.\nAnswer: 7225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llgykluussky. What is prob of picking 1 s, 2 l, and 1 u?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2132629 to the power of 1\/3, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.3 + 3.4. Let v = 1.7 + w. Let t = -3 + v. Do -0.1 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -13. Let w be (16 + r)*(8743 - -7). What is w rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s**2 - 4*s. Let b(l) = -9*l**2 - 11*l. Let a = -38 + 49. What is a*i(v) - 4*b(v)?\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15767\/216 - -73. Is h greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 + 331*a**2 - 328*a**2 + 22*a + 72 + 34*a - 17*a = 0 for a.\nAnswer: -8, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nrqqqrlqrn. Give prob of picking 1 r and 2 q.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -6*s**2 + 6*s - 2. Let q be v(1). Let h be q\/6*(5 + -6). Determine u, given that -h + 11\/6*u - 3\/2*u**2 = 0.\nAnswer: 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 293*o = -83*o + 12076516 + 4202028. What is the thousands digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-9)*1*3. What is the units digit of (-1)\/(2\/p) + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 4*r**4 - 2260*r**3 + 289800*r**2 + 30682000*r - 6083500000 = 0.\nAnswer: -125, 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 9 - 3 = -3*z. Which is the closest to 0.1? (a) -0.1 (b) -1 (c) 53 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 50, 2, -6, 4, 21 in increasing order.\nAnswer: -6, -2, 2, 4, 21, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/(-16)*(16 + 2)\/(-2). Let t(u) = 41*u - 28. Is t(a) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 4*u + o - 330 = 0, 0 = 4*u - o - 326. Suppose 5*g = 412 - u. Suppose -g = -5*p + 3*p. Is 16 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*u - 3*u + 8*u)*(5*u + 0 + 2 - 7*u)*(-4 + 4 - 2*u**2).\nAnswer: 100*u**4 - 100*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -24, -97, -220, -399, -640, -949, -1332, -1795?\n\"Answer: -v**3 - 19*v**2 - 9*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(3 - 6) - 0. Suppose 4 = g, -q + f*g + 34 - 92 = 0. Let x = -32 - q. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 294588 and 161.\nAnswer: 6775524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 5 + 75. Suppose -2*o + 5*m = -154, -2*m + 0 = -o + 75. Calculate the remainder when o is divided by y.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 43525 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-6 - -12) + -4 - (4 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -137 + 140. Find the second derivative of -39*g - 46*g + 3*g**v + 6*g**2 - 30*g**2 wrt g.\nAnswer: 18*g - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*h = 2, 0 = 2*f + 11*h - 14*h - 2. Is f < -14\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, -6, -3\/4 in increasing order.\nAnswer: -50, -6, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/3*(-5)\/5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-45))\/(1\/5)*36*(-8)\/(-512)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - 970\/(-36))\/(-1). Let i = y - -58\/9. What is the common denominator of i and 11\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -4*o**2 - 166*o - 564. Give w(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2169 is divided by 135?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7}. Give prob of sequence llll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*r = 22, 5*c - 32 = -r + 2. Suppose 4*d = 4*l - 20, d - 1 = 2*l - c. Suppose b = -k - 182 + 669, -2*k - 8 = l. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14.9 - -11.85. Let b = u - -0.05. Let z = -3.9 - -4. Are z and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.7 + 2857\nAnswer: 2853.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**4 + 2*q**4 + 2*q**3 - 2 - 2*q**4 as p*q**4 + i*q**3 + n*q**2 + o + h*q and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 3308?\nAnswer: 3307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 41, 69, 87, 89, 69, 21?\n\"Answer: -d**3 + d**2 + 32*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 3*j**2 + 41*j + 2788. Give f(-14).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 703822.88 and -0.0447.\nAnswer: 703822.8353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (339 + -348 + -1 + 15).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a0c6 - -1749?\nAnswer: 1b831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -3 + -6 - -2 - -8\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2 + (-3 - 1 + 3)*(-4 - 1 + 2))*(0 + 0 + 1)*(-2*m + m + 0*m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 8*t**2 - 5*t. Let d = -45 - -39. Let f(o) = o**3 + 9*o**2 - 6*o. Let v(x) = d*f(x) + 7*g(x). Factor v(r).\nAnswer: r*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 + (-4 - 71403\/(-4165)). Let q = 3\/4165 - w. Calculate the common denominator of q and 83\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(108) + 0)**2 + sqrt(108)*2 + -4 + (sqrt(108) + (sqrt(108)*-2)**2)*4 + 5*sqrt(108)*2.\nAnswer: 96*sqrt(3) + 2048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -424*a = -942*a - 405*a + 19383 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8\/7, 1\/7, 4\/3, -5, 1174334?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3.453 and 135.22286175.\nAnswer: 138.67586175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16.4 - -16. Which is the closest to 1? (a) 3\/8 (b) 2\/11 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3477*p**2 - 6707*p**2 + p**3 + 3230*p**2.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 23*l**3 - 5*l**2 - 3*l + 51. Let j(d) = -25*d**3 + 4*d**2 + 3*d - 56. Calculate -5*j(w) - 4*u(w).\nAnswer: 33*w**3 - 3*w + 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1069 divided by -57892\nAnswer: -1069\/57892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5208)\/126 - -41)\/(-1*2\/36).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1427 + 1452. Solve -6*o = b + 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(42336\/(-14190)) - 2. Let p = t - -3\/98. Which is greater: 3 or p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10912663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.951 - -1.05. What is the third smallest value in -1, d, 4\/7, 6?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*z = -36*z - 152 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 616639359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*u + 1, 11*u - 10 = 5*g + 16*u. Suppose 0 = -3*z + 2*r + 11, -z = -0*z + 3*r + 11. Put g, 5, z in ascending order.\nAnswer: g, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1665 - -14986\/9. Let g = -111.4 - -111. Put 10, m, g, 1\/10 in increasing order.\nAnswer: g, 1\/10, m, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132974533.59 rounded to the nearest 1000000?\nAnswer: 133000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/6 + 4\/12. Let f(p) be the second derivative of 2*p**5\/5 + p**3\/3 - p**2\/2 + 2*p. Let q be f(b). Solve -q - 1 = 5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 11:36 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*(-2 - (0 - -1)). Let c(m) = -3*m**2 + 2. Let n(k) be the second derivative of -13*k**4\/12 + 9*k**2\/2 + 411*k. Calculate h*c(j) - 2*n(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*a**3*q*z**3 + 118*a**3*q*z + 5*a**2*q*z + 6*a**2*q - 6*a*q*z**3 wrt a?\nAnswer: 66*q*z**3 + 708*q*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-481)\/(-1443))\/((-4)\/(-384)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25 + 24*h - 25 to g + f*h and give f.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 7093?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 404036*h**2 - 395839 wrt h.\nAnswer: 808072*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4 = -11. Let a(q) = -q + t + 6 - 2. Let w be a(7). Which is smaller: -1\/3 or w?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3252235*5.\nAnswer: -16261175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, y: 3, p: 3, q: 4}. What is prob of sequence xq?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 16*o - 37. Let y be z(-13). Let c be (-2 + (-8)\/4)\/(-4). Suppose q = 5*s + 8, -2*s + 7 - c = -5*q. Sort -5, y, s in ascending order.\nAnswer: -5, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -127 - -136. Is 68\/7 >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 8. Let a = u - 3.1. Let p = -10\/17 + 43\/102. What is the closest to a in 1\/4, 0, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, x: 2, c: 8, i: 1}. What is prob of picking 3 c?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18099088*m**4 + 12*m**2 - 1101376*m?\nAnswer: 434378112*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -323*c + 324*c - 347. Sort -0.3, c, 1 in descending order.\nAnswer: c, 1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/6)\/(1\/6). Let w be k\/(1 - (-123)\/(-129)). Suppose m - 36 = w. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1612835376.\nAnswer: 2, 3, 33600737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 125 + -130.3. Let m = -5 - w. Let n be -1 + (0 - 3\/(-2)). Which is the second biggest value? (a) n (b) 5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 j, and 1 p when four letters picked without replacement from uunnjnupnnunjn.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -v**6\/1080 + v**5\/45 + 11*v**4\/24 - 50*v**3\/3 - 5*v**2. Let l(h) be the first derivative of p(h). Factor l(c).\nAnswer: -(c - 11)*(c + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 0*o + 1\/3*o**3 + 3 + 0*o**2 - 2\/5*o**5 + 0*o**4. What is the third derivative of f(n) wrt n?\nAnswer: -48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*h - 28 = 116*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*i**2 - 3*i**2 + i**2)*(-6545*i + 130 + 5108*i - 130 - 6199*i) to h*i**3 + k*i + o + n*i**2 and give h.\nAnswer: -7636","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g + 3. Let k be u(0). Let z be ((-49)\/7 - -5)*1. Let x(c) = c**2. Let a be x(1). Sort z, k, a in decreasing order.\nAnswer: k, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(272) - -1*sqrt(272)*-1)**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.01 + 2.99. Let y be (-6)\/57 - 6769\/133. Let g be y*2\/(-42) + -2. What is the nearest to g in 1\/6, p, -1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287240071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -391.4 to the nearest 10.\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 254 divide 11481516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*g + 16 + 41*g - 2*g**3 + 24 - 15*g - 5*g**2 - 13 to b*g**2 + d*g**3 + i*g + y and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 7:46 AM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.9 times 2?\nAnswer: 17.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164*v - 218*v = 0. Solve v = -36*g + 276 - 96 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**4\/5 + 1388*m**3\/5 - 248952*m**2\/5 + 2805748*m\/5 - 2558182\/5 = 0?\nAnswer: 1, 11, 341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14625753?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (1 + 3 + -11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*r**3 + 0*r**2 + 0*r**2)*(1 - 3 - 1) - 25*r**3 + 44*r**3 - 29*r**3 + 4*r - 4*r + 2*r**3 to d*r**2 + m*r + f*r**3 + u and give f.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-265)\/(-4) + 3\/(-12) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1936, -1925, -1910, -1891, -1868, -1841, -1810?\n\"Answer: 2*l**2 + 5*l - 1943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -7*b + 2 - 2 + 12*b. Let t be a(3). Calculate the greatest common divisor of 150 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10550, -10540, -10492, -10388, -10210, -9940?\nAnswer: -9560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p + p + p)*(-103 - 103 + 173) to u*p + q and give u.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = r + 3*r. Let m = -6 - r. Suppose -m*k + 4 = -0. Are k and -2\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -615 and -35226?\nAnswer: 34611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7b86 + a61?\nAnswer: -7125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 134 - -2303?\nAnswer: 2440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 200 + -131 + -18 + -21.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2*sqrt(98) + (sqrt(98) - -3*(sqrt(98) - sqrt(98)*-4)))**2.\nAnswer: 504*sqrt(2) + 31756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -185943 divided by 4.\nAnswer: -185943\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 23 = 2*o + 3*k, -3*o + 4*k + 24 = 0. Solve 0 = 5*a + 3 - o for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2739393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 26*n**2 - 1127*n - 10. Determine k(-23).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/15 (b) 5 (c) -0.13 (d) 2\/3 (e) -1.08 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5736 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -740*g**2. Let v(b) = 19040*b. What is v(s(p))?\nAnswer: -14089600*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1621660526 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from arkkgrgggkkragcgkg. What is prob of picking 2 g?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/4, 3.091873, -2, 5 in ascending order.\nAnswer: -2, 1\/4, 3, 3.091873, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, f: 2, j: 7}. Give prob of picking 2 f.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 4902*l + 1558*l + 1632*l + 1609*l.\nAnswer: -103*l - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, j: 2, f: 1, k: 2, t: 3, h: 2}. What is prob of sequence tr?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((30\/9)\/2)\/((-39)\/((-15444)\/(-44)))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 5:53 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-10)\/25)\/((-1)\/55)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -1864*m**3 - 3*m. Let a(d) = 4654405*d**3 + 7492*d. Calculate -3*a(j) - 7492*o(j).\nAnswer: 1873*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2 + sqrt(132)\/sqrt(48)*4.\nAnswer: 2*sqrt(11) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-28))\/(1\/39222). Let h = t + -4200. Let c = 552 - 9941\/18. Find the common denominator of h and c.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13891\/3 + -4679. Which is smaller: o or -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3867573 is divided by 34.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 - 3*y + 3*y**3 + 10*y**2 - 3*y - 4*y**2.\nAnswer: y*(y + 3)*(3*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 2*z**5 - 10*z**3 - 158*z**2 + 158*z**2 - 5. What is the third derivative of d(t) wrt t?\nAnswer: 240*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 156400 to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m - 9. Let f be (2\/(-3))\/((-2)\/(-42)). Let q be o(f). Suppose -q*v + 2*x + 0*x + 412 = 0, 0 = -2*v - 3*x + 161. What are the prime factors of v?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1253\/1074)\/((-7)\/(-4))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.5, 39, -18, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1420 (b) 5 (c) 1\/3 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4*o - 607. Calculate d(71).\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-5\/3)\/d*d*d*d*d**(-1\/15))\/(d**(-10)*d)**(-21))**34 assuming d is positive.\nAnswer: d**(-96254\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2216755874 rounded to 3 decimal places?\nAnswer: -0.222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 1 - 17. Let q(c) be the first derivative of c**3\/3 + 4*c**2 + 4*c + 5. List the prime factors of q(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-41 + 26 - -14) + (75 - (7 + -11)).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or 91\/8?\nAnswer: 91\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1, 1853, -0.4 in descending order.\nAnswer: 1853, 1, -0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-42)*(15\/18 + -2)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -3, -5, -49, 10, -2, -63 in decreasing order.\nAnswer: 17, 10, -2, -3, -5, -49, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 72?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*d + 4*t + 9, -5*t = 25. Let l = d - -1. Solve 3*n + 2*n - 10 = l for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**2 - 3456*b + 995328 = 0. What is b?\nAnswer: 576","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*m + 4 = -2*v + 72*m, -m = 5*v + 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2538 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/51 in 2, 0, 3\/7, -4\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-1)\/(-1))\/(19\/(-456)*8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.01949*16\nAnswer: -0.31184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -463*f + 164*f + 145*f to the form u + j*f and give j.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 95692635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s + 0*s + 2*s)*(-s + s**2 + s) + 388*s - 15802*s**3 + 526*s - 915*s to y*s + m*s**2 + n + d*s**3 and give d.\nAnswer: -15801","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**4 + c**4 + 0*c**4)*(4*c - 2*c - c) - 1 - c**5 + 1 + 1656*c**5 + 839*c**5 + 4*c - 4*c.\nAnswer: 2496*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -44243?\nAnswer: 9\/44243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 5:25 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32519098.\nAnswer: 2, 16259549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1131 - -1115. Put z, 0.6, 0, -0.3 in ascending order.\nAnswer: z, -0.3, 0, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -202.6.\nAnswer: -204.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i**3 + 26*i**2 - 12*i + 17. Determine t(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18351037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 38991 = 3*h, -9419 = 5*h - 2*l - 74404. What are the prime factors of h?\nAnswer: 41, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6*(-3 - 26\/(-6)). Is (2\/(-4))\/(h\/(-3568)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 253 = -27. Let n be (b\/(-12) + -4)*3. Solve -2*j + 5*w = 13, j = 3*j + n*w + 6 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 34864 or 34853?\nAnswer: 34864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -250701717 by -36067.\nAnswer: 6951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199 is divided by 4\/72 - 72982\/(-468).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8415 by 12.\nAnswer: -2805\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.12975 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -81*r + 61*r**2 - 70*r + 155*r + 2*r**2 + r**2 - 5*r**2 + (r - 4*r + 5*r)*(0 + 0 + 2*r) + 2*r**2 + 0*r**2 + 0*r**2.\nAnswer: 65*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p - 34*p**3 + 31*p**3 - 56 + 54 + 3*p + 4*p**2 to s*p**2 + u + f*p + n*p**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -71*l - 122 - 20 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*l**2 - 7*l**2 + 2*l**2 + 8*l**2 to r*l + j + v*l**2 and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/(102\/17*21\/(-63))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24228*z**4 - 122*z + 7.\nAnswer: -290736*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(-25) + 6\/18. Suppose -7*u = -11*u - 8*u. What is the biggest value in u, o, 2\/7, -0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81892 and 73564.\nAnswer: 1388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 3*i. Let h(m) = m. Let g(a) = -a + 13. Let u be g(-12). Suppose 3*t = -7 + u. Suppose -t*r - 4 = -22. Give r*h(j) - d(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l*q*w**2 - 100293*l*q*w - 20*l*q + 147882*l*w**2 + l*w - 17*q*w**2 wrt w.\nAnswer: 4*l*q + 295764*l - 34*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*a**2 + 83\/2*a**3 - 12 - 38*a - 15*a**4 - 7\/2*a**5 = 0. What is a?\nAnswer: -6, -1, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/(-2))\/((-10)\/5). Suppose h = -q*h. Let i(b) = b + 10. What are the prime factors of i(h)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22930425 divided by 3105\nAnswer: 7385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8325\/934 greater than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -11. Let g(u) = -4*u**3 + 7*u**2 - 4*u + 6. Let o(a) = 3*a**3 - 7*a**2 + 5*a - 6. Let r(f) = -2*g(f) - 3*o(f). Let d be r(6). Is w smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12.4315 + 293.19.\nAnswer: 305.6215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1232529 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/2))**(-35)\/((x**(-7)*x)\/((x**3*x)\/x)) assuming x is positive.\nAnswer: x**(53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.04 and -0.0338.\nAnswer: 0.0062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**3 - 57*i**2 - 49*i + 39. Let f be y(23). Round f to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -759 + 748. Are a and -8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 98, 5, 0, -1745 in descending order.\nAnswer: 98, 5, 0, -2, -1745","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40 + (-44 - -14))*(-15)\/10?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 1. Let a(x) = 2*x**2 + 4. Suppose -64 + 14 = 5*d. Let s be 1\/(d\/(-2) - 4). What is s*a(v) - 4*u(v)?\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 + -0.1. Let k = -90 - -89.7. What is the nearest to 0 in 2\/11, s, k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/7 + 197052*c\/7 - 591138\/7.\nAnswer: -2*(c - 98523)*(c - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o**2 + 31*o + 20. Calculate h(11).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*l + 38. Let s be l\/(-4) + (-1)\/2. What is the third derivative of -f**5 + f**2 + f**3 - f**s wrt f?\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 11*p**2 + 1. Let x be f(1). Suppose -9 = -3*s - 4*k, -50*s + 10 = -48*s + 2*k. Which is bigger: s or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 - 5*x**2 + 4*x**2)*(2 - 2*x - 2) + 4*x - 4*x - x**3 - 2*x**3 + 5*x**3 - 5*x**3 - 12*x**3 - 15*x**3 + 4*x**3 + 0*x - 2*x**3 + 0*x.\nAnswer: -26*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12400961 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4031 + -4036. Put s, -4, 17, -3, 9 in decreasing order.\nAnswer: 17, 9, -3, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 92.3992km?\nAnswer: 92399200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2083 - -669. Which is smaller: -1415 or d?\nAnswer: -1415","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1642925 by -328585.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -30022313 (base 4) to base 16\nAnswer: -c2b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2944399600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 6*r**2 + 5*r - 6. Let w(g) = 7*g**2 + 6*g - 7. Let m(u) = 6*p(u) - 5*w(u). Solve m(n) = 0 for n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*g**2*n - 2*g**2*u*v + 381*g**2*v - 8*g*u*v + 3*n*u + 24*u wrt g?\nAnswer: 6*n - 4*u*v + 762*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-28)\/8*55*-2. Suppose c - i = -5*x - c, -4*x = -2*c - 326. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 787 + -408. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 8:47 PM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 23488611359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 23*m - 45. Let p be h(12). Suppose -k = -4*n + p, 3*n - 93 = -3*k + 99. Let w = n + -54. Solve 0*o = -z - o + w, -5*o + 11 = -2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 + 43. Suppose -6*d + m*d + 174 = 0. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*k - 171*k = -95*k - 111*k - 1872 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 237167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -8862.29101 rounded to zero dps?\nAnswer: -8862","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6587783 to the power of 1\/2, to the nearest integer?\nAnswer: 2567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 0*f + 2*f)*(-2*f + 2*f + f) + 41*f**2 + 142*f**2 + 64*f**2 - 2*f + f**2 + 2*f + (-f**2 - 3*f + 3*f)*(0 + 1 - 2).\nAnswer: 251*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/6*1*8. Let i(x) = x**2 - 3*x + 2. Let y be i(3). Suppose -4*l + 6 = y*b, 5*l = -5*b - 0*b. Put -1, q, b in increasing order.\nAnswer: q, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (854 - o**3 - 854 + 42*o**4)*(4 + 0 - 6).\nAnswer: -84*o**4 + 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 147004 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a meter in millimeters?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 142743672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -366 - -403. Suppose 11593 = u*t - 12605. What are the prime factors of t?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 2*x + 6, f + 3*x + 13 = -0*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42.1 + -46. Let k = -2.3 + -1.7. Let w = h - k. Which is the nearest to w? (a) -3 (b) 4 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 696, 561, 180, -579, -1848, -3759, -6444, -10035?\nAnswer: -14664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 5*g**2 - 2*g - 3. Let q be d(-5). Let a(l) = -2*l**2 + 2*l + 7 + l**2 + 4*l. Let r be a(q). Is r smaller than -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 b when three letters picked without replacement from {f: 5, d: 1, b: 3, r: 1, a: 3}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 57, 1, 16 in descending order.\nAnswer: 57, 16, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34228934.\nAnswer: 2, 17114467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 20 = -4*d + 2*y, -5*d = -2*y - 37. Suppose d*w + 9090 = 14*w. Let r(c) = -w + c**2 - 5*c**2 + 1818. Let a(h) = 11*h. What is a(r(l))?\nAnswer: -44*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(((a**(-3\/5)\/a)\/a)\/a*a))\/(a**(-2)\/a))**(19\/5)\/(((a*a**(-2\/3))\/((a\/(a*a**(-1)))\/a))\/((a*(a\/a**(2\/3)*a)\/a*a*a)\/(a**(1\/2)*a))) assuming a is positive.\nAnswer: a**(1329\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + -6023061.3\nAnswer: -6023061.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + -5. Let y = 11 + h. Suppose 4*w - 49 = 3*b, -b + 14 = 5*w - y*w. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 188a03 (base 12) to base 16\nAnswer: 68fa3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.3 (b) 5\/3 (c) 2\/4563 (d) 128\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4616444 * -0.52.\nAnswer: 2400550.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 858 by -6.\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.206 - -1.206. Let t = 0.15 - -4.85. Which is the fourth biggest value? (a) t (b) -1\/4 (c) 0.5 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -94 and -0.0008.\nAnswer: 0.0752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 s when three letters picked without replacement from iisiiiiiiisii.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-10\/7)*c*c)\/c**8)**(1\/15))**(-7) assuming c is positive.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -v**2 + 8*v**2 - 2*v - v - 2*v wrt v.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/9 and -38\/3141.\nAnswer: 3141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -198*f**2 - 722*f**2 + 1113*f**2 - 195*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*m**4 + 39*m**3 - m + 1321?\nAnswer: -72*m**2 + 234*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 11:31 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**3 + 13*b - b**3 - 18*b)*(-1532 - 948 - 174 - 1680 - 2246).\nAnswer: -13160*b**3 + 32900*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kpp when three letters picked without replacement from {k: 6, p: 4, n: 2}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91 - 246 + 43 + 112 - 4*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -102 + 98.05. Let h = -0.05 + z. Let r = 3 - -2. What is the second biggest value in r, h, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and -2.135?\nAnswer: 1.635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -116479.257 greater than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 25 = 3*k. Is k a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-6)*((h*h**(2\/9))\/h)\/h)\/((h\/(h\/(h\/h**(1\/13))))\/h*h*h\/h**1*h) assuming h is positive.\nAnswer: h**(-1018\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47669, -95339, -143009, -190679?\nAnswer: -238349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (408\/(-28))\/((-4471)\/7854 - 12\/(-22)). Calculate the greatest common factor of y and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5227181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lha when three letters picked without replacement from vhlahwwlzlla?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 17 = -17. Suppose -21*k + 17*k - 4 = u. Which is smaller: 2\/99 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28550 and 71140?\nAnswer: 203104700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 m, and 1 c when four letters picked without replacement from mkckrczzcc?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 k when three letters picked without replacement from {s: 1, k: 11, j: 1}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2821.7 - 2821.3. What is the nearest to 1 in 3\/2, 0.6, g?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 6*g**4 + 829490*g**3 - 4700594*g**2 + 5806686*g + 2488572 = 0?\nAnswer: -138254, -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 1 = -5*q, 3*d + 2*q - q = 19. Find the third derivative of 8*r**2 - r**6 + 3*r**d - 11*r**2 wrt r.\nAnswer: 240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -70*s**2*w**2 + s**2 + 6*s*w**2 - 2*s + 73*w wrt w?\nAnswer: -140*s**2 + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 5*j + 17. Let o be u(-9). Let k be (o\/21)\/(6\/(-9)). Let q(c) = -c**3 + 4*c**2 + c. Calculate the remainder when 18 is divided by q(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/7, 3, 0, -7\/6, 1\/4, -106?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -4*l - 16. Let r = -48 + 48. Let p be y(r). Are -15 and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of o**2\/2 + 9*o - 2. Let x be u(-7). Suppose 3*b + 10 = -s, x*s - 3*b = -s + 18. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, b: 9}. What is prob of picking 2 b and 1 o?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 w when three letters picked without replacement from {v: 3, h: 2, w: 3}?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 369936314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o. Let d(n) be the second derivative of -3\/2*n**3 + 0 - 6*n + 0*n**2. Determine d(u(y)).\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 68 by -56011.\nAnswer: -68\/56011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1448547 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 310665 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**25)\/(v\/(v\/v**(-6))) assuming v is positive.\nAnswer: v**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 22454150 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -53043982 + 28100908. Let n = -11223074 - o. What is n rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -5*m**3 - 130*m**2 + 9*m + 127. Give c(-26).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (1 + 10 + 0)) + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.38, 0.4, 5\/2, -0.2, 1 in decreasing order.\nAnswer: 5\/2, 1, 0.4, 0.38, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/110)\/(4*3\/30).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 520150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 0 - (-12 - -1 - (-65 + (-21 - -100))).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q - 1. Let h(k) = -k**3 - 5*k**2 + 6. Let p be h(-5). Suppose s + s = -p. Let w = -1 - s. Determine l(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1699247707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 12:46 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (3 - -1) - (1 + -7 - 5).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -4.5 (b) -3 (c) -7 (d) -2 (e) 53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*b - 4205 - 11208 - 12802 = -398*b for b.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 277*m**2 + 357*m**2 - 631*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 358860, 717716, 1076572, 1435428, 1794284?\nAnswer: 2153140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 3*a + 22, -5*a + 0 = 4*b - 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -4. Let u be 2\/(-3)*3 - p. Let q be (-4)\/(-9) + u\/(-45). What is the second smallest value in 0.2, -0.4, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of 0*q**5 + 0*q**4 + 0*q + 0 + 1\/7*q**7 + 0*q**6 - 14\/3*q**3 - 11*q**2. Differentiate d(l) with respect to l.\nAnswer: 120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 8:10 PM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 5*z**5 - 3*z**2 - 3*z - 3. Let a(l) = -10*l**5 + 5*l**2 + 7*l + 5. Let g(r) = -3*a(r) - 5*i(r). What is the second derivative of g(b) wrt b?\nAnswer: 100*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7779.2 - 7779. What is the closest to 10\/13 in p, -2\/17, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrururrr. What is prob of picking 2 r?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 + (-329)\/49 + (-128)\/(-238). Which is the fourth biggest value? (a) 0.4 (b) v (c) 14\/5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1444 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 8:27 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2*-12.1705185\nAnswer: 24.341037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -161807 or -161806?\nAnswer: -161806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -40*t + 660. Let b(w) = 2*w - 30. Let y(g) = -132*b(g) - 6*z(g). Give y(2).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22956 + 17685 = -837*c - 930*c for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -1 + 13, i - 5*r = -22 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s + 3 = -3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*i, -5*y - 1 = -2*i - 2*i. Suppose 3*v = -y*d + 3, v = -2*d - 3*d - 15. Let m = 5 + d. Calculate the highest common factor of 3 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2*sqrt(500) - (sqrt(125) + -4)**2) + -1.\nAnswer: -144 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -157 - -115. Let n(k) = -3*k**3 + 2*k**2 - 3*k + 1. Let w be n(-3). Let l = a + w. List the prime factors of l.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(40\/10)*1\/(-301)*7\/(-2)\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003543137748 to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 321*i**3*k - 2*i**3 + 117*i**2*k - 2*i*k - k wrt i?\nAnswer: 1926*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 2445120?\nAnswer: 2445112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*f = 0. Suppose 5*r + f*r = -400. Let i be r\/(-1) - (-1 - -3). What is the highest common divisor of 52 and i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4328*-180.68\nAnswer: 781983.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 867847 is divided by 86702?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/115140 and -43\/28.\nAnswer: 805980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5019205.5 minutes to days.\nAnswer: 3485.559375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 612 - -249534401\nAnswer: 249535013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-35))\/(12\/(-42)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6591203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -37374 and -79.94.\nAnswer: -37453.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.13 + 0.1. Let m = p + -3.43. Let k = 3.3 + m. Is -0.13 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pnnnnpnpnnnn. Give prob of sequence pn.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 293dc9 (base 15) in base 8?\nAnswer: 7452036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 8. Let n = p - 19. Let l = n - -11. Sort l, 0.2, 1.\nAnswer: 0.2, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30*j**3 + 185*j**2 - 30*j.\nAnswer: -5*j*(j - 6)*(6*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + a**2 + 2*a + 2. Suppose s = -3*d + 12, 3*s + 14 = 7*d - 6*d. Let h be -5 - (s + -3 - -5) - -2. Calculate x(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1362 = -2*o + 1560. Suppose -5*p = 4*l + 1192, 5*l - p = -0*p - o. What is the units digit of 1\/1 + (-3 - -5) - l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 2*q - 9*q - 6*q + 16*q.\nAnswer: -q + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2254*a - 1638*a - 927*a - 168*a.\nAnswer: -4987*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3021*c**4 - 13*c**2 + 276116*c wrt c.\nAnswer: -36252*c**2 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 264*u + 10044. Let b be s(0). What is the highest common factor of b and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vjvvjyjvvvyvlzvjvzlj. What is prob of sequence zl?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -4*o + 0 + 1\/20*o**5 + 5\/6*o**3 + 7\/12*o**4 - 2*o**2. Let h be v(-6). Solve 5*g - h*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 7. Suppose 0 = f*a - y - 95, 3*a + 0*a + 3*y = 60. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -4*w - 14, u + 60*w - 55*w - 14 = 0 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3329*u**3 - 384*u - 423*u + 2 - 2 + 807*u.\nAnswer: 3329*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 923 = -327. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.99 - -30.29. Let n = -249.9 + 223.9. Let d = f + n. What is d rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 9764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + 0 + sqrt(252) + 5) + (-4 + (sqrt(252) - (3 + sqrt(252))) - -2*(-4*sqrt(252))**2).\nAnswer: 24*sqrt(7) + 8085","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23756 - 3*r - 23756.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0367487709 to three dps.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1038861249.\nAnswer: 3, 787, 440009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.4 - -0.2. Let i = 9 + -6. Let z = i + n. Put 4, z, -2 in descending order.\nAnswer: 4, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11628 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.92 - -4.52. Which is the closest to 3? (a) o (b) 0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c. Let b(z) = -9*z + 32*z - 11*z - 11*z. What is b(q(j))?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, 1\/6, 9 in ascending order.\nAnswer: -0.04, 1\/6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 11:49 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 3 + 1 + -24 + 40.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 6*s + 2*s)*(-1 + 1 - 1) - 3 - 27*s + 4 - 150*s.\nAnswer: -175*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + x + 1 = u, x + 15*u - 57 + 112 = 66 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/(g**4*g))\/g)\/g*g)\/(g\/g**11)*(g**(1\/5))**(-10))**31 assuming g is positive.\nAnswer: g**93","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -9. Let o be -3*(-3 + 2)*1. Suppose 6*y - o*y = 144. Calculate the highest common factor of l and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 9:42 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 263 + -156. Let j = y - 62. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8051728 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 5*c**2 - 1979*c + 11383. Calculate m(390).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 133911.45 hours?\nAnswer: 5579.64375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - (-141)\/9 - 4\/(-12). Suppose -10*h - 24 = -j*h. What is the smallest common multiple of h and 21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 1:32 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 9*g**2 - 11*g - 12. Let u be b(-10). Let f(w) = 3*w + 3*w**3 + 0*w**3 + 4*w**2 - 7*w**3. Is 9 a factor of f(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 62 - 61.7. Which is the second biggest value? (a) 0.5 (b) -3\/2 (c) p (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 751176.7627 + -753197. Let r = u - -2053.237266. Let t = 33 - r. Round t to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19916012 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**2. Let y(b) = b**2 + 3. Let x(s) = 2. Let q be ((-4)\/(-6))\/(3\/18). Let n(f) = q*y(f) - 6*x(f). Give t(n(p)).\nAnswer: -32*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2*z = -3968, 4*l = l - 2*z + 5932. Let y = l + -1366. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 divided by 6656?\nAnswer: 11\/832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/(-25) - 141\/(-15). Let i = 13 - p. Suppose 6*a - 12 = i*a. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -13\/181422871?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*g**3 + 6*g**2 + 8*g**2 + 9*g**2 - 9*g**2 wrt g.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.828 + 0.172. Let z = -111\/7 + 1207\/77. Sort z, 5, r in decreasing order.\nAnswer: 5, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -3\/4 (b) -0.1 (c) -2\/9 (d) 4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.2 - -4. Let w be 4\/((-2)\/2) + 13\/3. What is the nearest to k in w, -1\/3, 0.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 15*z**3 - 1437*z**2 + 1392*z + 2844 = 0.\nAnswer: -1, 2, 474\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -555 + 573 = -18*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 213 + 4\/8*-2. Suppose -j + 2*y = -109, -y - u = 2*j - 4*j. Suppose -5*l - f + 4*f + j = 0, -l = -4*f - 38. Solve 2*z = 5*s + 20, s + l = 4*z - 4 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from sdsdss.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + (sqrt(7) - sqrt(686)\/sqrt(2)) + (sqrt(343)*1)**2).\nAnswer: -24*sqrt(7) + 1384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d**2. Let c(z) be the second derivative of -13*z**4\/12 + z**2 + 126*z. What is q(c(h))?\nAnswer: -507*h**4 + 156*h**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -184*w - w**2 - 186*w + 12 - 183*w + 540*w. Is 6 a factor of j(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, z: 2, u: 1, i: 1, j: 5}. Give prob of sequence yz.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1690226 and 0.1218?\nAnswer: 1690226.1218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110285.\nAnswer: 5, 7, 23, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/20*-24218 - (-1040)\/(-1300).\nAnswer: 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 9. Suppose -x*f - 42 = -3*f. Is f a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 1450 - 1468 = -4*k, 18 = 2*t - 2*k for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/59 (b) -196 (c) -4 (d) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.1331 * 0.2\nAnswer: 0.02662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -228 by 76.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -1\/2*a**2 + 0*a + 2. Let y(l) be the second derivative of -l**4\/12 - 2*l. Give y(z(u)).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 96 + -96. Suppose -1241 = -5*v - f, g = 4*f - 5*f - 4. Is v a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 7:10 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -144 + 149. Suppose -4*l = 2*h - 16, 13*h + b*l = 12*h + 20. Solve -s + 1 = -h for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -118647 (base 12) in base 8?\nAnswer: -1053227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 799888 and 96?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -248977 * -0.3.\nAnswer: 74693.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 10*t**2 + 8*t - 7. Let u be y(-9). Are 16\/5 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/1022 and (-42)\/(-36) + 9575\/(-11550).\nAnswer: 11242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -8*w + 5*w - 2, 2*w + 2 = 3*r for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6 - -0.4. Let b = 1 + x. What is the biggest value in -1, 3, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 610, 596, 562, 502, 410?\nAnswer: 280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 26 - 38. Let n = 1 - g. What are the prime factors of n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1995 times 10784\nAnswer: 21514080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 385123121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 + 46 - 67941*t - 66966*t.\nAnswer: -134907*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 747770138.958 - 0.476.\nAnswer: 747770138.482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (24\/84 - 1855325\/35) + -1. Round q to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 925 = -128. Let g = 677 + j. Let k = -5867\/4 + g. Calculate the common denominator of k and 25\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-3)*(-33)\/(-396)*(-5)\/70?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1116794 is divided by 58.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2\/7 + 7257552*x\/7 - 13168015258176\/7 = 0. What is x?\nAnswer: 3628776","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 1433*p**2 + 1457*p**2 + 17*p - 5*p + 6 to the form j + f*p + b*p**2 and give b.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, y: 3, d: 1, n: 2}. What is prob of picking 2 n?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -329 - -326. Suppose 3*n - a = 13, 5*a - 3*a = -4*n + 34. What is the nearest to n in -1\/7, v, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/2332 and 27\/6078974.\nAnswer: 644371244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of p**6\/120 + p**5\/30 - p**4\/6 - p**3\/6 + 3*p**2. Is 15 a factor of i(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8594 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7508088 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*z - 1120 = -111*z + 149*z for z.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5*v = 0, 8 - 2 = -4*m - v. Let z be (-3 - m) + 4 + 0. Suppose 2*s - 13 = b + 16, z*b = -4*s + 33. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3*v**3 - 5*v**2 - 6*v - 2. Let g be y(-2). What is the tens digit of (621 + g\/7)*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/16168 and -131\/2886504.\nAnswer: 135665688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*v**3 + 40438*v**2 - 921960 wrt v.\nAnswer: 45*v**2 + 80876*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -13*p - 117. Let m be c(-9). Let k(y) be the first derivative of 0*y + 9 + 5\/4*y**4 + m*y**2 + y**3. What is the third derivative of k(n) wrt n?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*s = -22536685 - 9258515. Round s to the nearest 10000.\nAnswer: -690000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3881, -7885, -11887, -15887, -19885, -23881, -27875?\nAnswer: -31867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 + 74 - 30*q**2 - 45111*q**3.\nAnswer: -45111*q**3 - 30*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -64*d - 23 + 13 + 10 + d + 0*d + 4*d + d - 3*d + d + 4 + d - 4 + (-1 - d + 1)*(-2 - 2 + 2) - d - 2*d + 4*d to i*d + l and give i.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.03 - -2.029897. What is c rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7 - 2*g**2 - 3 + 6*g**2 - 8*g.\nAnswer: 4*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*b + 64*b = -4*b + 979758. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1697 and 22907803?\nAnswer: 1697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.8 minus -205982?\nAnswer: 205963.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(100))\/sqrt(10) - sqrt(100)\/(sqrt(10) - 2*sqrt(10)))\/((sqrt(16) + sqrt(576))\/sqrt(8) - (-1*sqrt(200) + sqrt(200))) + 0)**2.\nAnswer: 20\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7498 + 8223. Calculate the smallest common multiple of 3 and w.\nAnswer: 2175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 - 45. Suppose 19*z - 18*z = c. Differentiate 22*b**4 + 18*b**4 - 17 - 28*b**z with respect to b.\nAnswer: 48*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -98301?\nAnswer: -2\/98301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -263*p + 2 + 266*p - 3 - 7*p**2 - 4. Determine v(-4).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 - 25. Factor 4 - 28*s**3 + 4 - 20*s**i + 8*s - 8.\nAnswer: -4*s*(s + 1)*(7*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1463\/20 + 291\/4. What is the closest to b in -3, -2\/3, -1.2, 6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 136*m**3 - 138*m**2 - 270*m + 4.\nAnswer: 2*(m - 2)*(m + 1)*(68*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least -37151\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -1 (c) 2 (d) -34 (e) -1\/24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -t**2 - 2*t - 82. Suppose 3*u - 3 + 1 = -2*g, 0 = -3*u - 3*g. Calculate b(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3029*a**4 + 1275*a**2 - 4919759 wrt a.\nAnswer: 12116*a**3 + 2550*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 v when three letters picked without replacement from wwvvwwwww.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5900 divided by -10?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -197 (c) -115 (d) 3\/2 (e) -4 (f) -0.3 (g) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5f958 (base 16) to base 10.\nAnswer: 391512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -21*g**2. Let d be (-4*(-9)\/18)\/(-1 + 2). Let k(a) = 20*a**d - 37*a**2 + 20*a**2. What is n(k(c))?\nAnswer: -189*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 200 and 18320?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - p**2 - p - 3. What are the prime factors of f(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159642 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -955557*r**2 - 7*r - 8. Let v(b) = 2*b**2 + 4*b + 6. Let n be v(-4). Let o = 19 - n. Let h be c(o). Round h to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -3*c - 20, -3*g + 5044 = -3*c + 5032 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 + 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 777953 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 147 + -142. Solve 1 = -3*l - w for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -23\/6*w**3 - 15\/2*w + 79 - 17\/2*w**2 - 1\/2*w**4. Suppose t(j) = 0. What is j?\nAnswer: -15\/4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 52730, 107972, 165724, 225986?\n\"Answer: 1255*t**2 + 51477*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of 607*w**2\/2 - 147*w - 322. Find the first derivative of o(y) wrt y.\nAnswer: 607","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79342 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93, -103, -113, -123?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3 = h, -4*h - z + 1 = -11. Suppose -2*b = -0*b - 5*j - 100, 3*b - h*j = 168. Calculate the remainder when b\/1 + 20\/10 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*s + 1575 = -3*t, 5*s = 2*t + 3943. Let o = s + -312. Let v = o + -100. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**7*m**(-6)*(m**0)**(-4\/37) assuming m is positive.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*14 - (3 - -2 - 0). Let c(n) = 6*n + 33*n**2 - 71*n**2 + f*n**2 + n. Determine c(10).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318*n - 400*n + 28*n - 20709 = 477*n for n.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10315 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - 2c1b843?\nAnswer: -2c1b83a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-26))\/(a\/(a*a**(-18))))\/(a**(-1\/21))**9 assuming a is positive.\nAnswer: a**(-298\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4692)\/13923 + ((-28)\/(-49))\/2.\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118 divided by -3.\nAnswer: 118\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 4:48 PM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3201\/8 + -405. Let a = g - -267\/40. Which is bigger: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1080152 divided by 4.\nAnswer: 270038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 375085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(52)\/sqrt(4) + sqrt(13))**2*-2 + -4.\nAnswer: -126 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11376324 is divided by 4272.\nAnswer: 4260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -4*u**2 - 121*u - 219. Let f = 2 + -4. What is the lowest common multiple of w(-28) and -2*f\/(-8)*-60?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -198*k + 46. Let s(x) = 193*x - 28. Calculate 2*o(m) + 3*s(m).\nAnswer: 183*m + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1373 + -1334. What is the remainder when u is divided by 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j. Let r(l) = -l**2 + 4*l + 4. Let y(w) = -2*w**2 + 7*w + 7. Let b(a) = -7*r(a) + 4*y(a). Give b(k(x)).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-4632)\/1930)\/((-198)\/15)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0448019361157 and -4?\nAnswer: 4.0448019361157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 b when two letters picked without replacement from bbbqbbbbtbbbqccbbbba.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 351 by -117.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/3*j + 2\/3*j**2 - 4\/3 = 0. Calculate j.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/((-456)\/38))\/((-3)\/((-18)\/(-2)))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1087 = k + 1049. What is the least common multiple of 15 and k?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -46 - 6. Let z = 0 - -4. Suppose -35 - f = -z*k. Is k a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 2907701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (232\/(-16))\/((-3)\/(-1024)). Let q = -36461\/6 - t. Let p = q - -1176. Find the common denominator of p and 43\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3145919 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -7 + 6 - (-3 + 397). Let q be 237\/j + 6\/10. Solve 0*s**2 + q*s**3 + 0*s + 2\/3*s**4 + 0 - 2\/9*s**5 = 0 for s.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.37 (b) 0.03 (c) 0 (d) 2 (e) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86187*o + 184 - 184.\nAnswer: 86187*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 17, 4, -9?\n\"Answer: -13*d + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3189, -12742, -28677, -51006, -79741, -114894?\nAnswer: -156477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, y: 3, d: 10, t: 4}. What is prob of sequence udyu?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 297236243 and 106?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/5 (b) 5 (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2d (base 15) to base 6.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 4*m + 5. Determine f(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3269239, -0.01, 6.\nAnswer: -3269239, -0.01, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - (-4 + 2 + 8 + -6 - -5).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1406)\/(-148)*(-208)\/(-152)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.945*5\nAnswer: -4.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1548 + 3013\/2. Calculate the common denominator of b and ((-3)\/(-3)*7 - 2)\/(-22).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*y + 4*y + y)*(-23 + 31*y + 12 - 29*y) in the form k*y**2 + m + j*y and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.12 + -0.13. What is the second biggest value in 0.4, g, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7725 + -4811. Let d = -1073 + q. Let g = -1284 + d. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*z + 14 + 11, -4*n + 3*z + 5 = 0. Suppose -n*v - 25 - 20 = -5*t, t + 11 = -4*v. Solve -2*c - 5*q = -17, 4*c - 5 = -c - t*q for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 97575094?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 36\/71, 2\/9, -2.\nAnswer: -2, 0, 2\/9, 36\/71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (213 - 77) + -82 - -48\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199*p = 192*p + 3437. Let c = 976 - p. What are the prime factors of c?\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 179117 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 7*b**5\/120 - 2*b**4\/3 - 7*b**3\/3 + 19*b. Let p(j) be the second derivative of u(j). Differentiate p(f) wrt f.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 446 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 144067445 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 29*b + 114. Let h be r(27). Suppose d = -3*k + 12, d = -4*d - 3*k + h. What is the highest common factor of d and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -6. Let w(g) = -g - 3. Let p be w(-7). What is the lowest common multiple of 18 and p\/m + (-20)\/(-2)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 35*i + 744. Calculate j(49).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11 and -53\/1788?\nAnswer: 1788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 725865.8 years?\nAnswer: 8710389.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42524 - 26306. Which is smaller: c or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 420 and 43.\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-20)\/24)\/(-4*60\/16))\/(24\/(-96))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -395*p**3 + 195*p + 1 - 104*p - 89*p as y*p**3 + o + f*p + c*p**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 112, 115, 118, 121?\n\"Answer: 3*t + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 9:25 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9354009*m**3*w**3 - 4385*m**2*w**3 - 74*m*w - 2*w wrt m.\nAnswer: 56124054*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -u**3 - 222863860*u**2 - 65092246.\nAnswer: -3*u**2 - 445727720*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 4:23 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2193849 and 34823?\nAnswer: 2193849","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 11330666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -16*q + 935. Solve q*u + 28 = -252 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/25 and -113\/4800?\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.02 < -1459\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/291821 != 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3, -173, -449, -825, -1295, -1853?\n\"Answer: b**3 - 59*b**2 + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**2 - 19495*l - 136395. Calculate j(-7).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 3045*m - 3041*m = 21, 5*i + 9 = -4*m for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 13*d**2 + 138*d - 56. Determine i(-20).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/6, 1\/6, -20?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 230525840 to the power of 1\/2, to the nearest integer?\nAnswer: 15183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -24435460 rounded to the nearest 100000?\nAnswer: -24400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*n = -120. Suppose 4*m = 78 - n. Calculate the smallest common multiple of m and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uxbxuybmmxxxxyuxx. Give prob of picking 2 u.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (2\/5)\/(4\/((-160)\/24))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 8:08 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 times 3514\nAnswer: 3162.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -5, -1544 in decreasing order.\nAnswer: 4, 0, -5, -1544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2062992492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 p when four letters picked without replacement from poppopypyoo?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2. Let q = 105 - 103. Let z(f) be the second derivative of 1\/3*f**3 + 0 - 3*f + 0*f**q. Calculate z(d(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2379\/(-48))\/((-5)\/1124). Let p = -11145 + d. Find the common denominator of p and (452\/18)\/(-1)*(-54)\/(-216).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1\/3)\/((-2)\/(-390)) + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of 16*p**6\/27 - 176*p**5\/45 - 47*p**4\/18 - 4*p**3\/9 - 166. Factor c(s).\nAnswer: 2*s**2*(s - 6)*(4*s + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - o + 0*o + o + 0*o + (-4 + 2 + 4)*(-1 - 2*o + 1) - 1 + 1 - 2*o - 2*o + 2*o - 2*o - 3 + 3 + 4*o + 4*o - 6*o + 130 - 40.\nAnswer: -6*o + 90","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35 and 2781515?\nAnswer: 19470605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*a = -79*a. Suppose -8*v + 6008 + 3192 = a. List the prime factors of v.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4145 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: Evaluate (-13 - 16\/(-32)*27)\/(10\/(-45)).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/8)\/(87\/2088).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 34.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 155432229*c**2*v - c*v + 395*v - 3225 wrt c.\nAnswer: 310864458*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 423.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10040925187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 22*p**2 - 25*p - 46. Suppose o - 14 = -4*l - 57, -4*o - l - 97 = 0. Let q be c(o). Is -1\/93 at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -1\/210*r**7 + 0*r**2 + 0*r**3 + 1\/30*r**4 + 0*r**6 + 2*r - 31 + 3\/100*r**5. Solve b(n) = 0 for n.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, e: 11}. What is prob of picking 2 h?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1185, 4748, 10687, 19002?\nAnswer: 29693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7684\/7 - 1098. Which is the biggest value? (a) -0.2 (b) -2\/5 (c) -376\/11 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(612) + (sqrt(612) - (-2 + sqrt(612))*-3) + 0 - 1*-4*(-2 + sqrt(612))))**2.\nAnswer: -37800*sqrt(17) + 1244200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/6 (b) -0.5 (c) -11 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u + 9 - 5 - 31*u - 1.\nAnswer: -36*u + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2777 and -6?\nAnswer: -1.6662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4984)\/3560*(12\/(-54) + 244\/126).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (276\/230)\/((-6)\/(-20)). Suppose -i*t - a = -4068, -6*t + 4072 = -2*t + 2*a. What are the prime factors of t?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(-1)\/2 - 2\/4.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -277 + 290. Let s = 39 + -13. Calculate the remainder when s is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = n - 22, n - 5*i + 73 = 5*n. Let r be 6\/(n\/(-47399999)) - (-2)\/(-4). Round r to the nearest one million.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**2 + 2*c**2 - 2*c**2 + (22 - 9 + 14)*(-2*c**2 + 3*c**2 - 3*c**2).\nAnswer: -58*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 12 + 11 + -20?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + -4. Let l be 45\/30*u\/(-3). Solve -3*a = 2*i - l, 5*a - 33 = i - 11 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 13, -4, -3, 0 in decreasing order.\nAnswer: 13, 5, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 7*g + 3. Let d(b) be the second derivative of -b**4\/12 - 6*b. Let c(k) = -2*d(k) + f(k). What is c(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1233311122 (base 5) to base 16\nAnswer: 2e2b7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -298, -591, -884, -1177, -1470?\nAnswer: -1763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 + 34 = 2*s. Suppose 0*y - s = 2*y. Let c = 28 + y. Solve -1 = 4*p + c for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/28)\/(((-84)\/(-16))\/7). Put f, 0.05, -1, 0.5 in decreasing order.\nAnswer: 0.5, f, 0.05, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*b - 9*b + 28*b as y*b + x and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*d - 399 - 117 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-7) + (-50)\/(-35). Sort v, 2, -2, 5 in decreasing order.\nAnswer: 5, 2, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 7*p**3 - 4*p**2 + 2. Let w(f) = -8*f**3 + 5*f**2 - 3. Let s(v) = -25*v + 130. Let l be s(5). Give l*j(n) + 4*w(n).\nAnswer: 3*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -4. Let o be 1 + -4 + (-3 - -16). Let a(n) = -20 - o*n + 21 + 0*n. Determine a(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -806 - -804. Let q(f) be the second derivative of -f**3\/6 - f**2 - 15*f. Determine q(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 44*i + 345. Determine o(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y + 16, c = 3*c - 3*y - 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1185.\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -18. Solve 4*q - 8 + 0 = y for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 14 - 9)*(-22 + 48 - 15 - r).\nAnswer: 38*r - 418","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7593.01 - 7593. What is the closest to 0.1 in -2, h, -7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 5*u**2. Let p(h) = -20*h. Calculate l(p(o)).\nAnswer: 2000*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 15*c - 17. Is 13 a factor of b(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrara. What is prob of picking 1 a and 2 r?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 428 (base 9) to base 3\nAnswer: 110222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5172*i**3 - 1724*i**2 - 5172. Let t(s) = 2*s**3 - s**2 - 3. What is -5172*t(a) + 3*x(a)?\nAnswer: 5172*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x + 2*x + 0*x)*(0*x - x + 2*x) + 207*x + 14*x**2 - 207*x in the form q*x + u*x**2 + i and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 337.144 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 2:14 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 37 = x. Let m = 40 - x. Let k(a) = -722222*a**3 - 2*a**2 + 7*a - 9. Let p be k(m). What is p rounded to the nearest one million?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -31, -134, -307, -550, -863, -1246, -1699?\n\"Answer: -35*w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.058 rounded to two decimal places?\nAnswer: -1.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7354, -7298, -7176, -6976, -6686, -6294, -5788?\nAnswer: -5156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bjbb. What is prob of picking 2 b and 1 j?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12 (b) -221 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -8*o - 27, 93*u - 94*u = -4*o - 11 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((-3)\/(-6)*2). Let h be s\/(2 + 17\/2). Which is the second biggest value? (a) -2 (b) h (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 3. Let f be s(0). What are the prime factors of ((-36)\/8)\/(f\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 3, 7\/60, 2\/7, 3\/5 in descending order.\nAnswer: 3, 3\/5, 2\/7, 7\/60, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -154? (a) 5 (b) -0.5 (c) -62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6804, -13607, -20412, -27219?\nAnswer: -34028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3833527, 7667033, 11500537, 15334039?\nAnswer: 19167539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/((1*sqrt(15) - sqrt(15))\/sqrt(3) + sqrt(5)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 538\/19 - 2\/19*g**2 - 536\/19*g.\nAnswer: -2*(g - 1)*(g + 269)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 814011.\nAnswer: 3, 11, 17, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 24415120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 223927356 to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 13 - (-58 - -48)) + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/103, 5, 8\/3 in increasing order.\nAnswer: 4\/103, 8\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2066923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2472 and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463 is divided by 52.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 = 469*q - 478*q + f, 4*q = 2*f + 42 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**5*x))\/((x\/((x**(-9)*x)\/x*x))\/x*x)*x*x**(-1\/18)*(x**(-1\/20)*x)\/x)**(17\/6) assuming x is positive.\nAnswer: x**(-40103\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (52\/2)\/((-316)\/(-18524219)). Let z = a + -1524150. Let d = -8\/79 + z. Which is smaller: -5 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 2 = 4*z - 0, 5*l + 11 = -4*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 + 35 + -40?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -114617, -229234, -343851, -458468, -573085?\n\"Answer: -114617*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -210155511?\nAnswer: 210155511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 9*y**2 + 3*y + 6. Let z be r(6). Calculate the common denominator of (-11)\/(-77) - (-1293)\/z and 7\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 1\/61, -536, -8?\nAnswer: -536","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 101196104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, -89, -2 in decreasing order.\nAnswer: 55, -2, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 + 288185*l - 576350.\nAnswer: -5*(l - 57635)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.97644 litres?\nAnswer: 4976.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 219 - 711 = 0. Let w = r + -108. Calculate the lowest common multiple of (-2)\/(15\/9*(-6)\/w) and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkkgkkkkkkkkkt. What is prob of picking 1 g and 1 t?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 10 + 6 - -6?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 83, 129, 209, 323, 471, 653, 869?\n\"Answer: 17*u**2 - 5*u + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 3*f**2 - 3*f + 1. Suppose 100 = 5*d - 5*z, d + 12 = -z + 38. Suppose -7 = -4*l - d. Give p(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 4*x - 3. Let i = 27 - 26. Let l = i + 4. What is v(l)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -2*n - 60, 20 + 28 = 4*j + n. Suppose 0 = 3*i + j*i. Solve i*k - 20 = -4*k, 3*k = -4*v + 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0302204 plus -0.6?\nAnswer: -0.5697796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*g - 4101 + 4101)*(0*g**3 + 5*g**3 - 4*g**3) + g + g - 2*g**4 + 0*g to the form k*g**4 + c*g + z*g**2 + a*g**3 + q and give k.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2. Let m(h) be the first derivative of h**2 - 33. Determine m(c(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*w - 13 = 317. Which is the closest to -1? (a) 2 (b) 0 (c) 1\/4 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 128?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0249 take away 11.34428?\nAnswer: -11.31938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 2*z + 2*g - 137 = 0, 0 = z - g - 26. What is the remainder when 129 is divided by z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -49*f + 84*f - 630 - 33*f + (2 - 2 - 2*f)*(0 + 4 - 2).\nAnswer: -2*f - 630","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 3:48 PM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 7*y + 6 = 2*v, 4*y - 5*v = -9. Let p be (-1)\/(-2) - (-119)\/14. Let l = -9 + p. Solve l = y*g - 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1581.\nAnswer: 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4*l + 4. Let m = 127 - 198. Let o = m - -72. Let j(q) = 1. What is o*t(n) - 3*j(n)?\nAnswer: 4*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 346, -1, 17, 50, 3.\nAnswer: -1, 3, 17, 50, 346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64.1, 1\/5, 90 in descending order.\nAnswer: 90, 64.1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**2 - 8*n - 2. Let k be m(4). Is -4 less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88420395 a multiple of 285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**2 - 7*c**3 - 1 - 2 + 4*c**2 - 6*c**2 + 2 to h*c**2 + f*c + t*c**3 + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 282\/((4 + 93\/(-30))\/(-33)). Round p to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + 2. Suppose 0 = -0*w + 2*w - t. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 1 (b) 0.5 (c) 16 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + a**2 + 21*a + 39. Let d be m(-3). Solve -k = -5*b - 6, -4*b = -0*b + k + d for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -92168 or -92169?\nAnswer: -92169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(1 + -9 - 2\/(-2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288)*-2*-2 + sqrt(288) - sqrt(288)) + sqrt(288))\/((-4*sqrt(60)\/sqrt(2))\/sqrt(5)).\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -18. Let q(r) = -1994*r - 610164. Determine -33898*l(a) + q(a).\nAnswer: -1994*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -1\/13, 109, -1\/2, -5, 1.6?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a - 33 - 4*a + 47. Let v be g(-10). Suppose 0 = -v*f + 67*f - 312. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000190435 rounded to five decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425)*1 + sqrt(425))**2 + (sqrt(17) - sqrt(68)\/sqrt(4)*-1)**2)*5 - (2 + -1*(-4*sqrt(153))**2).\nAnswer: 11286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(234)\/(sqrt(81)\/(sqrt(90)\/sqrt(10))))\/(6*sqrt(98)*1*-1))**2.\nAnswer: 13\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**2 - 10*h + 5586. Let k(b) = 2*b. What is o(k(r))?\nAnswer: -8*r**2 - 20*r + 5586","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 26*y + 5 + 4 + 8. Let l(t) = t**2 + 18*t + 62. Let b be l(-14). Let z be -1*(0 + 17\/(-1)). Let h(s) = -9*s - 6. Determine b*r(x) + z*h(x).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36*0.32.\nAnswer: 11.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 830\/(-50) - (-2)\/(-5). Let j be (-4)\/(-34) - 56\/(-102). Is l at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + t**2 - t - 3. Let l(k) = 98*k**3 + 2*k**2 - 5*k - 11. Determine l(j) - 3*y(j).\nAnswer: 101*j**3 - j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/5 - 12*j\/5 - 2.\nAnswer: -2*(j + 1)*(j + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - u + 2, 17 = 2*p + 5*u + 7. Suppose 0 = 2*r - 3*y - 19, 5*r - 5*y - 45 = -p*r. Solve -12 = 3*s - 5*h, h + 20 = -r*s + 3*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**2 + 108*z - 13*z**2 + 13*z**2 + 2916 = 0. Calculate z.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 22 - 3?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2397*d**2 - 2*d - 2. Let p(w) = -2*w. Calculate p(c(l)).\nAnswer: -4794*l**2 + 4*l + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-3) + 2\/(-6). Let n(i) = z*i + 0*i - i. Let r(t) = 15*t**2 + 33*t. Let p(y) = -y**2 - 2*y. Let h(m) = -33*p(m) - 2*r(m). What is h(n(q))?\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 2:54 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 11:14 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 19\/8716435?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h - h + 154*h**2 - 181*h**2.\nAnswer: -27*h**2 + 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 4, 5, 1147, -2, 1, 3 in descending order.\nAnswer: 1147, 17, 5, 4, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 8:08 AM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}