diff --git "a/data/dm_maths/full_data_1/1148_11255.jsonl" "b/data/dm_maths/full_data_1/1148_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1148_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Evaluate ((-272)\/24)\/((-120)\/(-90))*-2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 h when three letters picked without replacement from hddddhhddddhddhhhdhh?\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109917931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 17050 times -36522\nAnswer: -622700100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*z + 1, -3840 = -5*a + 5*z. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -46*b - 39*b - 38*b + 100*b. Let q(l) be the second derivative of l**4\/4 + 10*l. Give y(q(z)).\nAnswer: -69*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2016) + sqrt(14))\/sqrt(7))**2 + -1 + ((5*(sqrt(126) + 1*sqrt(126)) - sqrt(126)) + sqrt(126))\/sqrt(7).\nAnswer: 30*sqrt(2) + 1057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328607 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*t + 55. Let p = -5 - t. What is the closest to -1\/7 in p, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aya when three letters picked without replacement from {y: 3, a: 5, p: 3, w: 1, d: 3}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 7. Suppose 5*l - 5 = -5*f, -8 + s = 3*l - f. Which is the nearest to l? (a) -2\/7 (b) -4 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24899 = 1099*c + 48734 for c.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.2, 2\/11, -1, 6\/67, -4, -23?\nAnswer: 6\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.04707 rounded to 3 dps?\nAnswer: 4.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4*s**3 + 164*s**2 + 7*s - 271. Let p be a(41). Solve -2*w - p = 4*b, -9 = 5*w + 11 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 23*l - 5*l)*(80 + 43*l - 161 + 79).\nAnswer: 602*l**2 - 28*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0316824139 rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*w - 4*z, -z - z - 8 = -4*w. Solve 8*f = w*f + 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 8*v**2 + 7261*v**4 + 23*v**2 + 7262*v**4 - 14519*v**4 to the form a*v**4 + w*v**3 + q + m*v**2 + c*v and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 243476 - -0.176071?\nAnswer: 243476.176071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/5 - 102\/(-20). Suppose 0 = 10*g + 320 - 340. What is l in -z - 1\/2*l**g + 3*l = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1466407 and -1466405 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 1:32 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -5360?\nAnswer: 5364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*n**2 + 17*n**2 + 17*n**2 to u*n + v + x*n**2 and give x.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65194?\nAnswer: 2, 37, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -13?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.01623*0.029\nAnswer: 0.00047067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a61 - -cab2?\nAnswer: a051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w - 4. Let v be f(-5). Let z(n) = -10*n + 1. Let b be z(-1). What is the highest common factor of v and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 5 - 2*w + 1 - 2*w**3 + w - w. Suppose 0 = -3*g + 2*g - 3. Is p(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4026, -8284, -12646, -17112?\n\"Answer: -52*n**2 - 4102*n + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/100)\/((-3)\/10 + (-2)\/(-8))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u + u**4 - 12 - 123*u**3 + 121*u**3 - 3*u**4 in the form j*u + i*u**4 + v + s*u**2 + r*u**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that k**3\/12 - 269*k**2\/3 + 1773*k\/4 + 3213 = 0.\nAnswer: -4, 9, 1071","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 2\/5 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -7*w - 5*r, 2*w + 2*r - 6 = 0. Suppose n - 3*n - 1261 = -w*c, c + n - 248 = 0. List the prime factors of c.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 7 + 2. Suppose 0 = d + 5*g - 305, -2*d + k*d - 303 = -3*g. Calculate the common denominator of 2 - 2 - (-1690)\/d and -83\/8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 538\/3931?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 95591 or 56?\nAnswer: 95591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11 - -25?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from pppiipipippiiiiiiipp.\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 74 - 47. Let h(g) = -58 + 11*g - g**2 + x + 16. Is 3 a factor of h(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30382185 a multiple of 335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236 is divided by 72?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*d + 28*d - 396516 + 389944 = 0 for d.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 894.64 + -64.24. Round y to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9321 is divided by 373.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 - 3*s + s + s)*(5*s**2 - 12 + 12) - 7*s**3 + 3*s**4 + 7*s**3.\nAnswer: 8*s**4 - 5*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 78 and 52.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 + 41. Let q = -240 - -239. Sort z, q, -3, 0 in increasing order.\nAnswer: -3, q, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -248762*s**3*w**3 - 858*s**2*w**3 - 3*s**2 - 8*s*w**3 wrt s?\nAnswer: -1492572*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 6*k**2 + 30*k - 67. Does 180 divide t(26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nknmknnzm. What is prob of picking 2 n?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(9\/((-108)\/60))*759\/(-66).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -17522, -35044, -52566, -70088?\n\"Answer: -17522*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 20*x**3 + x**2 - x + 1. Calculate the remainder when 83 is divided by b(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (442\/(-1768))\/((2\/2)\/28).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -3 + (-3 + 10 + 2 - 2).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -5. Suppose -f + 0 = -c. What is the third derivative of -3*h**2 + h**2 + 6*h**3 - 4*h**f wrt h?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 1\/3, -37456, -2, 1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 359aa + 13b?\nAnswer: 35b07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-4)*568\/(-1065)*(-10)\/12.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2 = -5*i. Let c = 2 + -4. Let s(g) = g + 1. Let q be s(4). Sort q, c, i in ascending order.\nAnswer: c, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 49 = 5*h, 4*h = -4*n - n + 139. Suppose -4*k - r + n = 0, 0 = -r - 0 - 5. Which is the biggest value? (a) -3 (b) k (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4923386?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 67302115 - 3?\nAnswer: 67302112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y + 14. Let i be w(2). Factor -23 + 42 + i*l - 19 - 2*l**2 - 2*l**3.\nAnswer: -2*l*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o + 120 - 120 + 11*o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59195, -237154, -533749, -948980?\nAnswer: -1482847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 59\/5 of a minute?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 193045437, 193045436, 193045435, 193045434, 193045433?\n\"Answer: -o + 193045438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2. Suppose 2*v - 12 = -145*q + 142*q, -v + 9 = 3*q. Let k(c) be the second derivative of 0 + 29*c + 0*c**q + 83\/6*c**3. Determine h(k(z)).\nAnswer: 13778*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -105 - 15. Let g = 324 - v. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166.64 rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*u + 984 = -24*u + 66*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -499985*b**3 + 2744757 wrt b.\nAnswer: -1499955*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 456139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*p**2 + 81*p**2 - 37*p**2 + 2*p + 35*p**2.\nAnswer: 162*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 304604\/9 + -33840. Let 2048\/9 - 2\/9*m**4 - z*m**3 - 256\/9*m - 32*m**2 = 0. Calculate m.\nAnswer: -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-32)\/192)\/(21\/2))\/(4\/(-12))?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/2)\/((-5)\/(-10)). Let d(s) = -s**3 + 3*s**2 + 2*s - 2. List the prime factors of d(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, -2\/9, -0.2, 0.9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -207 <= -210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2838.5 minus -2.8?\nAnswer: -2835.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 2*n - 2. Let h = -138 - -145. Let k(t) = t**3 - t**2 - 40*t - 11. Let z be k(h). Give o(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) + 0)**2 + 4.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8849202 - -14478?\nAnswer: 8863680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1168, -1188, -1208?\nAnswer: -1228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 783*y + 4103. What is the hundreds digit of c(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/6 - 1\/((-6)\/186). Sort u, -2\/3, -4\/7, 3.\nAnswer: -2\/3, -4\/7, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -12*z**2 + 110*z + 16. Calculate the remainder when u(9) is divided by 7\/((10\/(-8))\/(-5)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4147 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/5*(-54)\/(-63)*105\/(-27).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + j - 49. Let g be d(0). Is 18 a factor of 14\/g - 508\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 77803\nAnswer: -2\/77803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -2. Let f = 29 + -33. Which is the third biggest value? (a) m (b) f (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -500 greater than or equal to -502?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3063 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/9)*i**(-3\/5)*i)**42 assuming i is positive.\nAnswer: i**(392\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4 + sqrt(931).\nAnswer: -8 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20 + 261*p - 16 + 35)*(23 + 27 - 6) as z*p + w and give z.\nAnswer: 11484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 1117*g**4\/4 - 2*g**3 - 17*g**2\/2 - 412. What is the third derivative of h(f) wrt f?\nAnswer: 6702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-1) - (-924)\/(-7). Let m = d + 217. Let w(v) = -m + v**3 + 5*v**2 + 175 + 5*v - 89. Calculate w(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20.8? (a) 135\/2 (b) 0.9 (c) -2 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (8851 + -147)\/(2\/3 + -4 + 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 6*o + 4. Let j be l(6). Suppose 3*y = 2*c - 7, 1 + j = -2*c - y. Suppose 6*b + 10 = -3*q + 2*b, -2*q + b - 3 = 0. Which is greater: c or q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44826 is divided by 377.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/6, -0.4, -8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + (sqrt(80) - (sqrt(80) + 1)**2) - (4*(1 + sqrt(80) + sqrt(80)) - sqrt(80))).\nAnswer: -340 - 128*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 8:19 AM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(144) + -1*sqrt(144))\/(sqrt(21)\/(sqrt(112) - sqrt(7))) - (-4*(-4*(sqrt(3) + -1 - sqrt(3)) - sqrt(3)*-1*5))**2).\nAnswer: -1451 - 640*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*p + 94 = 89*p + 39. Solve -a - 5*i + 3 = 0, -i = -p*a + 6*a + 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -19*v + 12038. What are the prime factors of v?\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 60875934*h**2 + 57641618?\nAnswer: 121751868*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17234578 to the nearest integer?\nAnswer: 4151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 232 (base 15) to base 3\nAnswer: 200102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*f**2*j + 9*f**2*v**3 + f*j*v**2 - 212*j*v**3 wrt f.\nAnswer: 4*f*j + 18*f*v**3 + j*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -80.1 - -79.6. Which is the third smallest value? (a) 2 (b) 1\/9 (c) r (d) 6\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -124 - (-84 + 160 + -123)\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104 = -14*o - 34 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifty-one halves of a kilometer?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 11 = -779. Let l = d + 150. Sort -5, l, -4 in increasing order.\nAnswer: -5, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -969, -3, 5 in descending order.\nAnswer: 5, -3, -969","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 29943*b**2 + 0 + 29943*b**2 + b**3 - 41*b - 7*b**3.\nAnswer: -6*b**3 - 41*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9069, -5, -1 in increasing order.\nAnswer: -9069, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 0.4 (c) 2\/11 (d) -0.22 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(1 - -4 - 3). What is the second derivative of -4 - 10 + 14 + 30*h - 5*h**j wrt h?\nAnswer: -100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c**5\/2 + 2*c**4 + c**3\/2 - 3*c**2 = 0. Calculate c.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-21)\/6)\/(5\/(-10)). What is the remainder when -34*(-4 + j)\/(-6) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + 0. Suppose -3*b + a*o = 4*o - 260, -5*o = -4*b + 335. Let q = b - 440. Round q to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 848 - 426 - 403 - 15*f to q*f + a and give a.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.7272 + -0.2768. Let p = -6.9 - g. What is p rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y - 1081213. Let j(t) = 7*t**2 + 5*t. What is v(j(b))?\nAnswer: -28*b**2 - 20*b - 1081213","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94842 to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -279*n**5 + 150*n wrt n?\nAnswer: -5580*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 7*s**2 + 18*s - 8. Give u(8).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of 3*q**2 - 7\/60*q**5 - 11\/24*q**4 + 1\/3*q**3 + 0 + 0*q. Let h(c) = 10*c**2 + 14*c + 2*c - 4 + 1. Determine 5*h(j) + 7*i(j).\nAnswer: j**2 + 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**5 - 1130*h**4\/7 - 25548*h**3\/7 + 3704*h**2 + 239584*h\/7 - 51456 = 0.\nAnswer: -134, -28, -24\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 divided by 80?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -553 - -555. Let k(r) be the second derivative of 6*r + 0*r**g - 1\/6*r**5 - 1\/9*r**3 + 0 - 2\/45*r**6 - 2\/9*r**4. Factor k(f).\nAnswer: -2*f*(f + 1)**2*(2*f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2851347353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three tenths of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven quarters of a decade?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 - i - 3. Let u = 1 + -1. Suppose 0*f + f - 12 = u. Calculate the lowest common multiple of f and n(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(4*a + a**2 - 4*a) + (1 + 1 + 0)*(19 - 4*a - 19)*(-14*a + 10*a + 6*a).\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212147 + 341198*h + 212147.\nAnswer: 341198*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**4 + 95*g**3 - 3987*g**2 - 160911*g + 515970 = 0.\nAnswer: -117, -30, 3, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 11:55 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.447718587 rounded to five decimal places?\nAnswer: -0.44772","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.8 + 6. Let m = y + -0.4. Is m != -3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**4 + s**4 + 0*s**4 + (0*s**2 + 2*s**2 - s**2)*(s**2 - s + s) + 2*s**4 + 3*s**4 + 0*s**4 - 14*s**4 + 58*s**3 - 58*s**3 + 0*s**3 + 0*s**3 + 3*s**4.\nAnswer: -3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + (4648\/252 - 21). Let -8\/9 - 2*x + n*x**2 + 2*x**3 + 4\/9*x**4 = 0. What is x?\nAnswer: -4, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of c**6\/6 - 11*c**5\/5 + 5*c**2 - 2*c - 49. Find the second derivative of g(x) wrt x.\nAnswer: 20*x**3 - 132*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -5*f**2\/2 - 4. Let h(j) = 8*j - 8*j - 2*j. What is l(h(m))?\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 9:16 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 44 + (-10 - -4 - 14)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 425 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**3 - f**2 + f + 1. Let k = -94 - -97. Let r(l) = 3*l**3 + 129*l**2 - 1767*l + 8229. Let o(d) = k*q(d) + r(d). Let o(v) = 0. What is v?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 4. Let o = 3 + -2.5. Which is the closest to h? (a) o (b) -4 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20805514 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -98 + 51. Let s = r + 66. What is the remainder when s is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 0 - 5 = i, 0 = 4*i - q - 64. Suppose 2*m - 9 = -v - 2*v, -5*m - i = 0. Let n be (v\/10)\/(2\/4). Solve -4*l + 5 = n for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11346 is divided by 222?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5381 is divided by 117?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 334\/(-450)*84\/672 and -27\/112.\nAnswer: 25200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 346053 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*j - 2*c + 35, 5*c + 26 = 3*j. Calculate the remainder when 19 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -7560743\/16 and -472547 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4d6 - 51b1?\nAnswer: -5687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 972, 975, 980, 987, 996, 1007, 1020?\n\"Answer: i**2 + 971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 13*j**3 + 3*j + 2. Calculate c(-2).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -431, -418, -401, -380, -355, -326?\n\"Answer: 2*g**2 + 7*g - 440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 16 = 5*h - 5*q, -26 = -h - 5*q. Let t = -19 + h. Solve 0 = -t*a - 1 - 9 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t**0*t)))**41\/(t\/(t\/(t**(-2\/7)\/t)))**(-5\/6) assuming t is positive.\nAnswer: t**(559\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2164.089cm in kilometers?\nAnswer: 0.02164089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eighteen sevenths of a week?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3172045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 737706 + -434219. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-2) + -3 - -2. Let f be 1\/(m*(-38)\/4). Suppose -3*r + 0*r = -15. Which is the smallest value? (a) -1 (b) f (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 9:33 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 21*u + 93. Give a(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 5*o, 0*z + 2*z + 4*o + 2 = 0. Suppose -3*d + z*s + 57 = -31, -3*d + 104 = -s. Solve -11 = k - 3*w, -4*k - w - 3*w = -d for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13260 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 216065 at least as big as 216068?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28766874?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 235*y - 13338. Calculate z(-139).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17508*o**3 - 17524*o**3 + 0*o**2 + 0*o**2 + 48 + 35033*o**3.\nAnswer: o**3 + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -9757 divided by 1\nAnswer: -9757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 4. Let l be (-2)\/6 - b\/3. Solve 0*u = -l*u - 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*z = -49*z - 5. Sort 4, 1, z in increasing order.\nAnswer: z, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, l: 12, x: 3}. Give prob of sequence llld.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -108?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -389 + 395. Solve 0 = -j + 6 - 4, u + s = j for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25010.8255 rounded to the nearest 10?\nAnswer: 25010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e83 + 4?\nAnswer: -e7f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-50)\/(-4) - 1\/2. Suppose 3*y - 11 = -5, y - s = -2*x. Suppose 0 = -0*c - c + 2*z + 213, x*c - 1058 = 3*z. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3\/2 - 11\/6. Put n, 1\/2, 0.4, 0 in descending order.\nAnswer: 1\/2, 0.4, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/33)\/((-105)\/(-126))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3957872692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 24231396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + -3)*(-4)\/8. Let z = r - -6. Calculate the remainder when z is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42421 (base 5) in base 13?\nAnswer: -13c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6433 (base 10) to base 4.\nAnswer: 1210201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-968)\/11)\/11)\/(-14)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.63 + -7.03. Let z = -17 + 13. Put z, 0.2, k, 3 in increasing order.\nAnswer: z, k, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2217849 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -15892946 times 0.4?\nAnswer: -6357178.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3312798 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-108*u**3 + 2*u + 72*u**3 - 621*u**3)*(0 - u + 0) as f*u**4 + o*u + b*u**3 + x + j*u**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l + 40 = 5*l + 4*z, -2*l - 2*z + 2 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -54 - (-6 + 12 + 5 + -10 - (-1 + 5))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + b - 3. Let z(c) = 5*c**2 + 5*c - 13. Suppose -j + 3*f + 0 - 3 = 0, -j - 5*f + 37 = 0. Suppose j*h = 7*h - 20. Determine h*z(i) + 18*m(i).\nAnswer: -2*i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7622.73 years?\nAnswer: 762.273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -7\/6, -0.16 in increasing order.\nAnswer: -4, -7\/6, -0.16, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -620.1 - -620.100028444. Round y to seven decimal places.\nAnswer: 0.0000284","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 6*w - 2*w)*((0 + 4 - 3)*(294*w**2 + 245*w**2 + 197 - 192) + w**2 + 2 - 2) + 2*w**3 - 2 + 2.\nAnswer: 1622*w**3 + 15*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1585*w**3 + 597*w**3 + 519*w**3 + 518*w**3.\nAnswer: 49*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3462065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3294, 11, 0 in ascending order.\nAnswer: -3294, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9127, -35793, -80225, -142429, -222411, -320177, -435733?\nAnswer: -569085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20458.6 + -20459. What is the closest to -2 in -0.39, g, 3, 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 262163, 263778, 265393, 267008, 268623, 270238?\n\"Answer: 1615*z + 260548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 464 and 271368?\nAnswer: 15739344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1530, 1523, 1422, 1179, 746?\n\"Answer: -8*a**3 + a**2 + 46*a + 1491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5870395 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -0*z - z + 81, -39 = -2*n + z. Let r(g) = 115*g - 12. Let i be r(n). Suppose -11*b = 2*b - i. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + -10.9. Let c = -0.5 - -4.1. Let f = c + g. Round f to 0 dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1056 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -220 + 312. What is the remainder when a is divided by 30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132302028, 132302026, 132302024, 132302022, 132302020, 132302018?\nAnswer: 132302016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -4)\/(14\/(-1155)*-15)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4023 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -1686*v + 1685*v - 4*r, 0 = 4*v - r + 20 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 6*x**2 + 12*x + 29. Does 7 divide j(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1111221101 (base 3) to base 7\nAnswer: 153004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, x: 5, m: 5}. Give prob of sequence hh.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 665 + -0.26453\nAnswer: 664.73547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-12) - (-42)\/8. Let x = 9 - i. Factor -x*v**3 + 5*v**3 + 3*v**5 + 3*v**2 - 4*v**3 - 3*v**4.\nAnswer: 3*v**2*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4486*f**4*u - 37*f**2 + 4*f + 8*u - 581015 with respect to f.\nAnswer: 17944*f**3*u - 74*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1868, -3849, -5870, -7955, -10128?\n\"Answer: -4*l**3 + 4*l**2 - 1965*l + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/7)\/((d*d*d*d*d**10*d)\/d))**(5\/3)\/((d**7\/d*d\/d**(-3))\/(d*d**(1\/2)*d**7\/d)) assuming d is positive.\nAnswer: d**(-1055\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9090, -9093, -9096?\n\"Answer: -3*q - 9087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) -4 (c) -2\/19 (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhah when four letters picked without replacement from {h: 11, a: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + d**2 - 3*d - 1. Let v be g(-3). Let t = -55 - v. What is the common denominator of -47\/10 and (-1)\/(-5) + 329\/t?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 + -21. What is the nearest to 0 in p, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -2. Let j = 2654 + -2644. Solve -5*p + 2*r = 23, j = t*p - 5*p + r for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/321 and 43\/702?\nAnswer: 75114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*h - 5. Suppose -13 - 4 = -g + h*d, -87 = -4*g + d. Calculate the least common multiple of g and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -555b7 + 3?\nAnswer: -555b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 762.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 11. Let k = -3 - h. Let t(b) = -b + 4. What is the smallest common multiple of k and t(-3)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 1 - 4*c - 9*c + 18*c - c. Let x = -1 - -2. Let j(o) = -o**2 - 1. Let g be j(x). Give a(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -377, -373, -369?\n\"Answer: 4*g - 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 32616\/1620 + 4\/(-30). Solve 2*d - 7 = -18*q + 17*q, 5*q = d - b for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-0.014664.\nAnswer: -0.0058656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-288)\/(-136) + 8\/(-68)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43524 + -174095\/4. Let m be (3\/(-45))\/((-5)\/9). Let v = -41\/75 - m. Which is the closest to p? (a) v (b) 2\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 176\/79 - -18299\/474. Let v = 85\/478 + -258917\/7170. Let j = m + v. What is the common denominator of j and -1\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 24*u**2 - u + 35. Calculate the remainder when 73 is divided by l(24).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 7*r**2 + 24*r + 6. What are the prime factors of p(-10)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 8, -2*g + 130*s = 135*s + 10. Let c(i) = -2*i**2 - 4*i + 6. Let j(q) = 3*q**2 + 4*q - 7. Give g*c(f) + 4*j(f).\nAnswer: 2*f**2 - 4*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6249?\nAnswer: 3, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, u: 5, o: 6}. What is prob of picking 3 o?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/764789 less than 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 2078650.54 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4679346 and 387.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0633198 and 29579755.\nAnswer: 29579754.9366802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 3 in descending order.\nAnswer: 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 + 0)\/((-27)\/1170) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32523300 rounded to the nearest 1000000?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15395?\nAnswer: 5, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 11 = 2*t, 0 = -13*t + 10*t + 5*i - 20. Which is the nearest to 1\/2? (a) -1\/2 (b) 2 (c) 2\/13 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4 = v - y, 12 = 3*v + 3*y. Let s = 0.058 - -0.042. Which is the second biggest value? (a) s (b) v (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 814023?\nAnswer: 814023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -11 (b) -0.3 (c) 0.1 (d) -74.5 (e) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3 - 11*o**2 + 3*o + 4*o - 2 + 12*o**2. Is g(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*z - 340 = 16*z. What is the remainder when z is divided by (-6 - 0)*(-4)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 39, 1, -2\/57, 2\/75, -4?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21305454 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5753, -10295, -14837, -19379?\n\"Answer: -4542*k - 1211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6117, -3924, -1733, 456?\nAnswer: 2643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4136657*w**2*z**2 + 3*w*z**2 + 48*w*z + 7*w - 564*z**2 wrt w.\nAnswer: -8273314*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -79*r - 1. Let z be v(-4). Let s be (4\/(-10))\/(9\/z). Let g = -2 - s. Solve d = -2*d - g for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -470 divided by 2\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 - 1. Suppose -5*l = 5*f + 15, -13 = -4*f + 9*f + 3*l. Determine p(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -6650, -2, -3 in ascending order.\nAnswer: -6650, -24, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12.9447 * 43.\nAnswer: -556.6221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -4 (c) -34 (d) -0.21 (e) -289 (f) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 628, 1262, 1910, 2578, 3272, 3998?\nAnswer: 4762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3342.572 + -3350. Round l to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -323 + 327. Put b, 10, -8 in decreasing order.\nAnswer: 10, b, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-205*b + 88*b - 2 + 2)*(48*b + 7*b**2 - 20*b - b**3 - 30*b).\nAnswer: 117*b**4 - 819*b**3 + 234*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-66)\/165 - 2\/(-5)) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 787 is divided by 152.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1800351 times -0.2\nAnswer: 360070.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -690314\/23 greater than or equal to -30014?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29352565 * -1.\nAnswer: -29352565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1*t)**46\/(t**(-1\/4))**(-10)*((t**(2\/9)\/t)\/((t*t**(-2\/23))\/t*t))**42 assuming t is positive.\nAnswer: t**(2551\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 84701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -287998350, -287998345, -287998338, -287998329, -287998318?\n\"Answer: j**2 + 2*j - 287998353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39718.\nAnswer: 2, 7, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rcp when three letters picked without replacement from rrrrrrccspcsc?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1286 is divided by 311?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -115*k**4\/12 + k**3\/6 + 19*k**2 - 124. Let q(c) = 23*c. Calculate q(y(u)).\nAnswer: -5290*u + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + ((sqrt(416) - (sqrt(416) + -2*sqrt(416))*-3)\/(1*sqrt(968) - sqrt(968) - sqrt(8)))**2).\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((v - v**2 - v)*(-4 - 3 + 3) + v**2 - v**2 + 2*v**2)*(v + 0*v - 2*v) as w*v**3 + l + i*v**2 + c*v and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of k**3 + 0*k**4 + 0*k**2 - 1\/30*k**5 + 0 - 1\/180*k**6 + 4*k. Let f(y) be the second derivative of g(y). Calculate f(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 10:02 AM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 11. Suppose -2*j - 4*s = -18, 0 = -3*j - s - p + 33. Let q be -3 + 0 - (-93)\/(-5 - -8). Calculate the highest common factor of q and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 69 = -8*t - 3*p, t = 3*p + 27. Suppose 0 = -3*g + 3*a + 12, 0*g - 5*g + 4*a = -t. Solve 3*z + 3*j - g = 4*j, -4*z - j - 1 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 10*k**3 - 13*k**2 - k. Let a(s) = s**3 + s. Let l be (-5)\/(3 + 2)*1. Let z(c) = l*f(c) - a(c). Find the third derivative of z(h) wrt h.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2147692711 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -33810 and -33804 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2*(-2)\/(-4))\/(1\/(-4)). Suppose 4*z - 40 = 3*q, -u*z + 12 = -2*q - 16. List the prime factors of 1 + ((-428)\/6)\/(8\/q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.4281612 to 2 decimal places.\nAnswer: -1.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 1\/2 (c) 59\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.5 - 1. Let q = -2 - -1. Let h = 25 - 25.3. Sort t, q, h in descending order.\nAnswer: t, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 659 = -3*a, -29*a + 31*a - 969 = 3*i. What is i rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -479, 2, -14, 5 in descending order.\nAnswer: 5, 4, 2, -14, -479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, r: 5, j: 2}. Give prob of picking 1 r and 1 j.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/4 - (279\/(-18) - -14).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 817*w**2 + 3*w - 818*w**2 + 2 - 2.\nAnswer: -w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/15)\/a*a\/(a\/a**(7\/4)))\/((a*a**(1\/7))\/a**(-3\/8)) assuming a is positive.\nAnswer: a**(-533\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 134742181 or 2?\nAnswer: 134742181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g**2 + 0*g**2 + 3*g**2 + (1 - 1 + g)*(2 - g - 2) + 1 - 1 - g**2 + 0*g**2 - g**2 + 2*g**2 + (0 + 2*g + 0)*(0 - 2*g + 0) + 807*g - 807*g + 212*g**2.\nAnswer: 205*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -333947.4 and 13.\nAnswer: -333934.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -858 = -2*t + 4*t - 892 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + x = 43, -4*x + x - 33 = -3*g. Let i be 10 - g - 4\/(-1). What is the third biggest value in i, 0.1, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1071 + -7501\/7. Let t be 2*((-1)\/2 - -1). What is the closest to t in 0.3, -4, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 divided by 15?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -875*-4.8449.\nAnswer: 4239.2875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*i + 22*i + 226*i - 51*i + 27*i.\nAnswer: 109*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/12))**(-33) assuming p is positive.\nAnswer: p**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 7*f - 70 + 19 = 0, -10*t + 19 = -11*t - 3*f for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6487157431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 8*r. Suppose -2*u - 5*d + 1962 = 0, -6*u + u + 5*d + 4940 = r. What is the hundreds digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of 3*t**4\/8 - 2*t**3\/3 + t**2\/3 + 7*t. Factor n(c).\nAnswer: (3*c - 2)*(9*c - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.21024243 and -0.05395.\nAnswer: 0.15629243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 38013 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -4\/610420595?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -0.039 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a + 15*i + 106, -a - 781 + 763 = -5*a + 2*i for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.08 + -7. Let o = q - 0.08. Let n = 9 + -13. Which is the nearest to o? (a) n (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express g + 0*g + 188*g**2 - 203*g**2 - g**3 as h*g + y + d*g**2 + u*g**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2060 by 145.\nAnswer: -412\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 14*d**3 - 439*d**2 + 12535*d - 12075. Let a(g) = 6*g**3 - 220*g**2 + 6268*g - 6040. Let c(h) = 10*a(h) - 4*q(h). Factor c(z).\nAnswer: 4*(z - 55)**2*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -13035, -52194, -117457, -208824, -326295, -469870, -639549?\n\"Answer: -13052*y**2 - 3*y + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -j**4\/12 + j**3 - 4*j. Determine p(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 288*j + 277*j - 573*j. Let x(u) = -3*u. Determine x(a(p)).\nAnswer: 24*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 8*r**2 - 7*r - 11. Let c be s(-11). Let u = -477 + c. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2874 = 2*s. Let z = 2012 + s. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*c - 80680 = -15*c - 6*c. Is 2021 less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 492*t**2 + 6*t + 45. Let p(n) = -492*n**2 - 7*n - 55. Give 4*p(u) + 5*w(u).\nAnswer: 492*u**2 + 2*u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1245, 9901, 33381, 79095, 154453?\nAnswer: 266865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*u - 142 - 165 = -121 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*f + 0*f - 4*f + ((2 + 0 + 0)*(81*f - 79*f + 61*f) + 0 - 2*f + 0)*(3 - 4 + 7).\nAnswer: 735*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**3 + 4*v**3 + 0*v**3 + (6*v**2 - 2*v**2 - 2*v**2)*(-v + 3*v - v) - 1 + 1 + v**3 - 3*v + 3*v + 2*v**3 + 0 + 0 - 3*v**3.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 301577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xmx when three letters picked without replacement from {m: 2, x: 7}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258874323?\nAnswer: 3, 3301, 26141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 40*m**2 + 84*m**2 - 41*m**2 + 0.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xggxv. Give prob of picking 2 x and 1 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 4336276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/17 and 46\/7.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2, -4*n + 28 = 3*v - v. Let r(p) = -2136*p**2 - 2*p + 8. Let u be r(n). Let q = 66712 + u. What is q rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -91 + 57 + 21 - (-19 + -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-5))\/(c*c**(1\/13))*c**0*c**(-4\/7) assuming c is positive.\nAnswer: c**(-514\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of i**2\/2 + 16*i + 17. Let u be m(-6). Let r(y) = 37*y - 29. Is r(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4088191, 48, -1 in decreasing order.\nAnswer: 4088191, 48, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4880507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 is divided by 2 + (4 - (-6)\/(-2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 9*y**2 - 9*y - 1. Let m be z(10). Let p(o) = -o**3 + 9*o**2 + 2*o - 8. Let s be p(m). Solve 0 = -6*j + 4*j + s for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 4*w - 36, 0 = 2*o - 2*w - 13 - 1. Suppose 8 = 48*a - 60 - 28. Calculate the greatest common factor of o and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**4 + 3*g**3 - 3*g**3 + (-g**2 + g**2 + 2*g**2)*(-4*g**2 + 0*g**2 + 5*g**2) + 3*g**4 - 5*g**4 + 0*g**4 + (-11 - 9*g**4 + 11)*(1 - 6 - 3).\nAnswer: 71*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/(-45))\/(1\/(12\/(-8))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -18609, -37182, -55737, -74274, -92793, -111294, -129777?\n\"Answer: 9*p**2 - 18600*p - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117 - 135 = 84*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4906 is divided by 1633?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) -1.9 (c) 28 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1030*d**3 - 395 - 12 - 32*d**3 - 125 wrt d?\nAnswer: -3186*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 4 - 4 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 12*h - 197174, -3*q + q = -2*h + 32854. Is 158 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of s**4*z + s**4 - 2*s**3*z + 7916*s**3 - 4*s**2 - 2*s - 10566*z wrt s.\nAnswer: 24*s*z + 24*s - 12*z + 47496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -213.94119 to 0 dps.\nAnswer: -214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1213873484.\nAnswer: 2, 23, 107, 123311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/135 + 667\/(-621).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86777323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mtmtt. Give prob of picking 3 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2 + 6*r + 5. Let n(i) = 2*i**2 - 26 + 6*i + i + 32. Determine 6*n(u) - 7*p(u).\nAnswer: -2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 283246, 283361, 283474, 283585, 283694?\nAnswer: 283801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -272*i**3 + 264*i**3 - 10257*i**2 + 10257*i**2.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 605331738 to the power of 1\/2, to the nearest integer?\nAnswer: 24603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 268386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w**2 - 2*w. Let y(f) = -13*f**2 - 9*f. Let m(q) = 18*a(q) - 4*y(q). Let d(r) = -180*r + 2 + 5*r**2 + 2 + 369*r - 189*r + 2. What is m(d(l))?\nAnswer: -50*l**4 - 120*l**2 - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(441)\/(-2*sqrt(225)))\/((-1*sqrt(49))\/sqrt(7)*4).\nAnswer: sqrt(7)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -63, 1\/4, -3, -0.1, 346, 0.07 in increasing order.\nAnswer: -63, -3, -0.1, 0.07, 1\/4, 346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -7*f - 5. Determine u(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 985*o + 137910. Give y(-140).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wccwcwawqaqczqwqz. What is prob of sequence cca?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/13 and -23\/180494072?\nAnswer: 2346422936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 4*h = -9. Suppose -4*k + 4 + 9 = -h*a, -2*k - 4*a - 10 = 0. Is 10\/43 smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 168, 518, 1138, 2100?\nAnswer: 3476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u - 2. Let o = -11 + 5. What is the smallest common multiple of n(o) and 11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8125 - 8103. Which is greater: o or -20.6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.9 - -3.4. Let a = -2.9 + 3. Let u = -0.06 - -2.06. What is the closest to a in -1, u, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 - 292\/7. Let g = 46.97 - 47. Which is greater: f or g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -6228\/89 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060727 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27712636 to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*o**3\/9 - 76*o**2\/3 - 320*o\/3 - 256\/9 = 0. What is o?\nAnswer: -8, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -39789, -79401, -119013, -158625?\n\"Answer: -39612*a - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 598577.58 minutes in days?\nAnswer: 415.678875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-960)\/3840)\/((-1)\/6)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -436 and -5.1.\nAnswer: -441.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001011100001110 + 10111001?\nAnswer: 10001011111000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*k + m, -2*m - 8 - 8 = -3*k. Let h(c) = 7*c**3 + 2*c**k + 3*c + c + 1 - 11*c**3. Let n(p) = -p**3 + p**2 + p. Give h(t) - 2*n(t).\nAnswer: -2*t**3 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.3 - 2.5. Let x = h - 3.799823. Round x to five decimal places.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**3 - 2*b**2 + 4*b + 3. Let q be n(-3). Suppose -3*h - 280 = -13*h. Let a = h - q. Solve 2*j + 2*u = 10, j - u + a = -2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 277*z + 3586 - 621 = -8392 for z.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o + 6. Let i be y(0). Let b be ((-50)\/(-8))\/((-80)\/(-64)). Let m(f) = i + 2*f**2 + 3 + b*f**3 + 6 - 16. What is m(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1837 - 3656*y**3 + 7320*y**3 - 924 - 913 - 3668*y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12149, -24301, -36453, -48605, -60757?\nAnswer: -72909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 4:14 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21508 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*n + 9 = 47*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -402316, 0, -1, -3.\nAnswer: -402316, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -5*g + 2. Suppose 134 = 2*c + 52. Suppose 4*l + 2*i = 42, -36 + 13 = -2*l + i. Let h(q) = c*q - 18*q - 13*q - l*q. Determine h(k(d)).\nAnswer: 5*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -38 - (-29 - 23 - 20)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2258.515 times -2.4?\nAnswer: -5420.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l**3 - 831*l - 6863. Calculate z(-8).\nAnswer: -1751","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 46\/9 of a week?\nAnswer: 51520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 7 = -r - 3*m, r - m - 16 = 0. Let n = 27 - r. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - -10. Suppose -4*b + n = 5*o - 15, -o - 4*b + 12 = 0. Suppose -4*z - 2*x + 6 = 0, -3*z + 2*x - 2 = -10. Solve 2*f = o*f - z for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 494273*i**2 - 494273*i**2 - 106567*i**3 + 106556*i**3.\nAnswer: -11*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 338179968 by -3994.\nAnswer: -84672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39510 by -3.\nAnswer: 13170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q - 17*q - 4*q**2 + 3*q + 21. Let z be y(9). Round z to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 174 and 783?\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -258*t*w**2 + 79*t*w - t + 3*w**2 - 32793 wrt t?\nAnswer: -258*w**2 + 79*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-168 - -281) + (-69 - 2).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14.4 and 368.\nAnswer: 5299.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 888230 is divided by 73949?\nAnswer: 842","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 + 14.1. Let z = -23 - x. Let f = 36.9999941 + z. Round f to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 + (21 + -8 - -6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31109511 is divided by 27337.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 1413?\nAnswer: -1414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -812169 divided by -3.\nAnswer: 270723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 863081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 34447350 divided by -229649\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -814974*v**2 + 2*v + 17. Suppose -4*q - 3 = 17. Let w be g(q). Let r = -13004343 - w. What is r rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-16)*(-4272)\/89\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 465a - -216?\nAnswer: 4875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k\/((((k\/((k\/((k\/((k*k**(-1\/12))\/k))\/k))\/k))\/k)\/k)\/k)))\/k*k)\/k)\/(k\/((k*k**(-11\/5)*k)\/k*k*k)) assuming k is positive.\nAnswer: k**(-187\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*j**2\/2 - 657*j - 32 = 0. What is j?\nAnswer: -32, -2\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3 - 1 = 0. Suppose 3*l = -c + 3*c, -c + o*l = 0. Suppose z - 20 = -c*z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4, 0 = 5*k + 5*g - g - 1551. Does 23 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 7*p**3 - 8*p - 35. Let f(h) = -15*h**3 + 17*h + 71. Let m(g) = 6*f(g) + 13*j(g). Let d(t) be the first derivative of m(t). What is d(-3)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24539 is divided by 6129.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-91)\/65*225\/(-360)?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-69)\/115*(-3270)\/(-42). What is the nearest to 0 in 2, d, 2\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2590\/743 and -3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 10:25 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 15*m - 5. Let l be (-14)\/(-9) - (-9486)\/2754. Let g(p) be the second derivative of -7*p**3\/3 + 2*p**2 + 7*p. Calculate l*s(c) + 6*g(c).\nAnswer: -9*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7146, -14347, -21650, -29109, -36778, -44711, -52962?\n\"Answer: -9*a**3 + 3*a**2 - 7147*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2514 rounded to the nearest 100?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -8 + 0 - 3*y**2 - y**3 + 11 + 4*y. Let i = -8 - -5. What is p(i)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39264295 to the power of 1\/2, to the nearest integer?\nAnswer: 6266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95284 and 82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/9 - 1860\/1674. Let f = 14 - 20. Which is the fourth smallest value? (a) f (b) w (c) -2 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 238 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - w + 2489 = 10683, w - 20471 = -5*b. Calculate the highest common factor of b and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 47*y - 39*y - 25*y.\nAnswer: -17*y - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of r**6\/120 + r**4\/24 - 34*r**2. Let h(z) = -8*z**3 - 5*z + 2. Calculate -h(p) - 6*q(p).\nAnswer: 2*p**3 - p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1307110 and 526.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 44834566 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3305*-0.0057.\nAnswer: -18.8385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.36 - 2.36. Let i = -5 + 9. Let q = 3.9 - i. What is the second biggest value in q, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8158 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1104*i + 45*i**2 + 1104*i - 3.\nAnswer: 45*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4 - 15*y + 55*y**2 + 8*y + 4*y - 423*y**3 + 3*y wrt y?\nAnswer: -2538","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -85 + -174 + 93 + 104?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 + 2*t**2 - 17*t + 17*t.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 4*q - 43, 65 = 5*h - 0*q + 5*q for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 91?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 16) to base 2\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4*m - 9. Let r(l) = -l + 1. Let c(p) = -5*r(p) - w(p). Suppose -3*x = -5*y - 6, -2*x = -2*y - 0*y. Calculate c(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/93)\/v**0)**(-21) assuming v is positive.\nAnswer: v**(-14\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 805\/816 + -223\/272. Let f(c) = -c**3 - 3*c**2 + 4*c + 4. Let z be f(-4). Solve 1\/6*v**z - q*v**3 + 1\/6*v + 0 - 1\/6*v**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -525439, -525494, -525601, -525772, -526019, -526354?\nAnswer: -526789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 455861, 455764, 455667, 455570, 455473, 455376?\nAnswer: 455279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**2 + 1680*h**3 - 617*h**3 - 555*h**3 - 587*h**3 + h**2.\nAnswer: -79*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2022 or -14149\/7?\nAnswer: -14149\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -2\/11 (b) -3\/7 (c) 1\/165 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t + 2. Let c(s) = 4*s + 55. Let j(g) = 2*c(g) + 2*w(g). Is 7 a factor of j(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43*1.49\nAnswer: 64.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.8 minus 0.173?\nAnswer: -13.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 7*o - 6. Let y be m(4). Let h(q) = -5 - 7*q**2 + q + 26*q**2 + y. Calculate the remainder when h(-2) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*y + 9 + 10*y + 3 to the form b*y + c and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/9)\/(100\/9*2016\/2688). Let l(p) = p**2 - 6*p - 5. Let w be l(7). Suppose 4*y = -0*y - 8, w*j + 4*y + 10 = 0. Which is smaller: t or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -1043?\nAnswer: -1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100101101111 (base 2) to base 9.\nAnswer: -3273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 7*f**2 + 9*f + 11. Let c be t(-8). Suppose -2*l = c*l - 25. Let r(h) = 4*h - 9. Calculate the remainder when r(l) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f + 4*x + 24, -4*f + 111*x - 1 = 112*x for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 329765811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 45, 68, 67, 36, -31, -140?\n\"Answer: -y**3 - 6*y**2 + 48*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c. Let q(a) = 6 + 20*a + 11*a - 19*a - 14*a. Calculate q(t(z)).\nAnswer: -8*z + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-5*(-12)\/(-480)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 + 11 - 17 - 2) + -6.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Express -6*m**4 + 5*m**4 + 5*m + 2*m**3 - 7*m + 4*m**2 + 5*m**4 + 2 as r + h*m + c*m**3 + d*m**4 + t*m**2 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000013553478 rounded to six dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 m when three letters picked without replacement from {m: 5, e: 1, c: 3, f: 6}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*r + 3*f = 878, 3545 = 4*r + f. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 65 = -2*y, 0 = -0*y - 4*y + 16. List the prime factors of b.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 513*f - 3*f**3 - 3*f**3 + 14*f - f**3 + 8*f**3.\nAnswer: f**3 + 527*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47151593\/540 - -87318. Let z = a - -2\/135. What is the closest to 0 in 63\/5, z, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + 750702.4898.\nAnswer: 750702.8898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 146*h + 2. Let b(j) = -j + 233. Calculate f(b(y)).\nAnswer: -146*y + 34020","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + z = 0, -y + 0*y - 5*z = 0. Solve -5*a = -y*a - 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**3 - 11*g**4 + 2*g**3 + 10*g**4 + 11 + 6*g**4 - 11 + 32*g**4 + 252*g**3 - 252*g**3 + (0*g**2 + 3*g**2 - 4*g**2)*(g**2 - 3*g**2 + 3*g**2).\nAnswer: 36*g**4 + 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-27)\/(-2)*12\/9. Let u(a) = 23*a - 205. Let r be u(9). Suppose -7 = -3*p - 2*k - 0*k, 2*k = r*p - s. Solve 0*w = p*w - 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -964 - -838. Which is the second biggest value? (a) s (b) -3\/4 (c) -5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1014 divided by -338.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-4) - (-122)\/(-8). Let q = r - -19. Suppose -q*j = -i + 2771 + 1128, -3*i - 2603 = 2*j. Round j to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/30688 and -157\/281064.\nAnswer: 154023072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 4, v + 5*d = -3*v + 32. Suppose 0 = j + 4*n - 12, -4*j + n = 5*n - 24. Suppose v*r - 13363 = -j*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 492 and 31652.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 + 19251138*s.\nAnswer: -3*s*(s - 6417046)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 2*i - 5*i. Suppose 2 = 3*x + i. Let l(b) = b + 18. Is l(x) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o + 3. Suppose 3*i = 5*k + 45, -i - 2 + 0 = 4*k. Let a be x(i). Let h(s) = -s**3 - 6*s**2 + 7*s + 2. Give h(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 - -9 - 0) + (2 - 4). Let t(o) = -9*o + 6 + 5*o + y*o. Calculate t(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 7. Suppose -5*y - u = -49, -3*y + u + 34 = -d*u. Suppose -5*j - y = -p - 4*p, j = 4*p - 5. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120 + -120?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*r*u**3 + 335768*r*u**2 - 9782*r - 22*u wrt u?\nAnswer: -12*r*u + 671536*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -4*h - 10, 651 - 681 = -3*b + 3*h for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15717501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4511, -9548, -15091, -21134, -27671, -34696, -42203, -50186?\nAnswer: -58639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -12, 7.93, -0.1, 4.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.743 + 3.8. Let j = o - -0.943. Let k = 111.8 + -113. Are k and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 5*b - 11 - 16, -9 = -5*l + 2*b. Suppose l*g + g = 240. What is the greatest common factor of 15 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 168 and 157704?\nAnswer: 1103928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1774111 or -12418773\/7?\nAnswer: -1774111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4 - 2*r - 6 + 10. Let f(h) = 6*h**2. What is w(f(a))?\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 696 - 682. Solve -t*o + 12*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 55 = -41. Let v = -48 - -53. Suppose 2 = 5*w - 13, 5*w - 55 = -v*i. What is the greatest common divisor of i and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (94*j**4 - 165*j + 165*j)*(1 - 1 + 2).\nAnswer: 188*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 1586*h + 4. Let v(k) = 4752*k + 11. Calculate 8*f(t) - 3*v(t).\nAnswer: -1568*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-27) - 2\/9. Let a = i + 2. Suppose 2*w - 3*w = -a. Is w less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 173 * 387.\nAnswer: 66951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*(b\/(b*b*b*((b*b**(5\/6))\/b)\/b))\/b))\/(((b\/b**(-2\/17))\/b)\/b))\/(b**(-2\/7))**(-41) assuming b is positive.\nAnswer: b**(-5711\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(132) + -2*sqrt(132)))\/(sqrt(108)\/sqrt(81)) + sqrt(110)\/(sqrt(160) + sqrt(10) + sqrt(10)) + sqrt(33)\/sqrt(3)*-1.\nAnswer: 103*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -0.2. Let q = 3.2 + u. Sort q, -0.4, 1 in ascending order.\nAnswer: -0.4, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.3 - -1. Let n = 17 + -17.07. Let i = 0.17 + n. Which is the biggest value? (a) i (b) v (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -p**7\/36 + 5*p**6\/48 - p**5\/24 - 61*p**4\/24 + 63*p**2. Let i(y) be the second derivative of n(y). Factor i(g).\nAnswer: -5*(g - 1)*(14*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 167 - 114. Let g = a + -52.67. Let z = g - -0.17. Put z, -0.2, 4 in increasing order.\nAnswer: -0.2, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1498 - 1515. Which is the second biggest value? (a) o (b) -4\/3 (c) 1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 41*p**2 + 79*p - 150. What is the hundreds digit of h(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 9:40 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -9.5, 3, -2, -3, -4\/7, 0.16 in increasing order.\nAnswer: -9.5, -3, -2, -4\/7, 0.16, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -361045.\nAnswer: -1083135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15800 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112022021 + -10111222?\nAnswer: 101210022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 180768*z + 903664. Give y(-5).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(3\/6*2). Suppose 0 = 11*o - 276 + a. Calculate the remainder when 97 is divided by o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2781201223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 2*q - 24, 0 = -4234733*q + 4234728*q + 2*f + 81 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -407, 0, 3, 228 in descending order.\nAnswer: 228, 3, 0, -407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21256 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/1 - (-3)\/1. Let d = 0 + k. Let y = d - 1. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2418168 to the nearest integer?\nAnswer: 1555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*b**2 + 11*b**2 - 9*b**2 + (2*b - 3*b + 3*b)*(b - b - 2*b) - 3*b**2 + 8*b**2 - 3*b**2.\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 3 + -3 + 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 49685878 to the power of 1\/2, to the nearest integer?\nAnswer: 7049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 85843*q**2. Let u(r) = 11*r. Determine b(u(a)).\nAnswer: 10387003*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*z + 35*z + 3*y, -10 = 2*z + 4*y for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*s - 2*c - 225, 0 = -5*s - 3*c + 399. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260423 at least as big as 260446?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.92 * -5.\nAnswer: -4.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1136322 * 1.4.\nAnswer: 1590850.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 137*y**2 - 442*y + 5364. What is r(134)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q - 3*q + 5*q)*(-1921 - 1717 + 2518) in the form p*q + l and give p.\nAnswer: -1120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 24662, 48999, 73010, 96695, 120054, 143087, 165794?\n\"Answer: -163*s**2 + 24826*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/576 and -77\/96.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-14) - (-4)\/210. Suppose -28 = -3*f - 4*i, -435*f + 4*i - 28 = -436*f. Which is smaller: l or f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 4*w - 451, -7*m + 4*m - 3*w + 456 = 0. Solve m = -6*l + 127 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -12. Suppose x*m + 2*m = -64. List the prime factors of 147\/28*m\/(-3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 14 = -3*q, 1787 = 2*q + 1799. Sort 5, -254, 2, l in decreasing order.\nAnswer: 5, 2, l, -254","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -571 (b) 634\/13 (c) 1\/5 (d) -0.3 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**4 + 154*j**3 - 1766*j**2 - 2218*j + 3828 = 0. Calculate j.\nAnswer: -87, -2, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61162791 - -1.\nAnswer: -61162790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -955*w - 4775. Determine b(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*t - 736*t + 546*t + 93*t + t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1085 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -6. Is i + 0 - (2 + -34) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -109753, -219498, -329239, -438976, -548709, -658438?\n\"Answer: 2*f**2 - 109751*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -274763 or -274764?\nAnswer: -274763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-5 - -13 - 9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216*p + 250*p**3 - 455*p**3 + 244*p**3 + 216*p.\nAnswer: 39*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/3 - (32\/120)\/((-12)\/(-15))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 27a8?\nAnswer: -27a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -56*o + 324. Determine s(5).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 120295894 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/154 and 57\/28?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7133 + 57151\/8. What is the common denominator of c and 75\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74 + 149. Suppose -6*j + j + y = 0. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1512662740?\nAnswer: 2, 5, 75633137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -1191*c**5\/20 - 1035*c**4\/8 + 2*c**2 + 1454. What is the second derivative of r(s) wrt s?\nAnswer: -7146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.02 (b) 5 (c) 3\/8 (d) -0.5 (e) 1\/12 (f) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 25696 = 5*k, -1365 + 11657 = 2*k + o. Calculate the highest common divisor of 64 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5395 + 5396. Does s = 8\/259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -11*p**2 + p - 3. Give m(-2).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4480899 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50485.\nAnswer: 5, 23, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163309092.\nAnswer: 2, 3, 29, 469279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5037 and -1.35.\nAnswer: 6799.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1308*w = -1220*w - 14134472. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -492*b**2 - 27*b = 0. Calculate b.\nAnswer: -9\/164, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -85.1767*0.3\nAnswer: -25.55301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4129562, -4129578, -4129594, -4129610?\n\"Answer: -16*s - 4129546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, w: 1, o: 11}. What is prob of sequence qo?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4931\/9 + -550. Calculate the common denominator of b and 36\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 16*w + 11. Let o(d) be the second derivative of 2*d - d**2 + 0 - 1\/2*d**3. Give -6*m(h) - 33*o(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4257732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1c (base 13) to base 9\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6954? (a) -3 (b) -0.13 (c) -1 (d) 1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 + 1)*(3*p - 3*p - p**3) + (-p**2 - 3*p**2 + 6*p**2)*(-p - 3*p + 2*p) + 3*p**2 - 3*p**2 + p**3.\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -49*s + 9 + 14 + 9*s**2 - 18 - 46*s + 98*s. Let o(a) be the second derivative of -7*a**4\/6 - 5*a**3\/6 - 4*a**2 + 2*a. Determine 5*o(i) + 8*r(i).\nAnswer: 2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02355831756 + -32.468.\nAnswer: -32.44444168244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 6*d**3 + 11. Let q be (-9)\/(-6)*(-8)\/6. Let y(w) = -w + 4. Let s be y(q). Let r(b) = 3*b**3 + 6. Determine s*f(h) - 11*r(h).\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -8*q. Let d(g) = -54863 + 27430 - 176*g + 27433. Determine d(w(a)).\nAnswer: 1408*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 22 = 9*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, 6, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -0.4, 309\/251, -5, -1\/15?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 12*g**5\/5 - 23*g**4\/3 + 20*g**3\/3 + 2*g**2 - 251*g + 1. Let k(y) = 0. What is y?\nAnswer: -1\/12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 183933 and 535?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.327 - 7.673. Let y(x) = x**3 - 7*x**2 + 7*x - 7. Let j be y(6). Let r be (j\/18)\/((-3)\/(-12)). Which is the third smallest value? (a) f (b) 5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144 and 276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 88 (b) 21 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + sqrt(99) + 2 + 4 - (sqrt(99) + -1*sqrt(99))*2*-5)**2.\nAnswer: 84*sqrt(11) + 296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from euzss. What is prob of picking 2 s and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6535235 and 280.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 + -27. Suppose m = 2*u + t, 3*t - 2 = 5*u - 3. Let n be 1 + -2 - (u - 5). Solve 1 + 1 = -n*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-56)\/(-42))\/(84\/(-9)))\/(4\/((-20)\/(-1))).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: ((-482)\/(-5784))\/(245\/60)\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-43110)\/(-27))\/(15\/18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**5 - 4700*i**4 - 4648972*i**3 - 872490388*i**2 + 2678146680*i + 3545992800 = 0. Calculate i.\nAnswer: -345, -1, 4, 1862","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -12. Suppose 0 = 2*t + b - 3*b - l, 2 = -2*b. Let z be 6 - -4*t\/(-4). Let c(f) = -f**3 + 3*f**2 - f. What is c(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.8 - -4.7. Let g be 2\/(-8) - (-26)\/40. Which is smaller: g or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1784031 is divided by 892011?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/1485*(19\/76)\/((-1)\/20)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 719*k*n*r**2 + k*n*r + 8*k*n + 3*n*r + 2*r wrt r.\nAnswer: 1438*k*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1175933920?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 552 = -384*r + 3240. Solve 0 = -4*s - 24, -r*s + 4*s = 3*a + 27 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 279191971\/462 + -604312. Find the common denominator of z and 101\/1008.\nAnswer: 11088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(13\/2)*o)\/(o\/o**(-31))*o**(-1\/20)*o*o**46 assuming o is positive.\nAnswer: o**(449\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-7 - 7) + 4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and 1676363839578.\nAnswer: 1676363839578.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -0.5, 3444984?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 65*(-3 - (1 - (218 - -5))) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 5, -2, -13, -28, -47, -70?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 26\/325*10*5\/2. Let r be 0\/(1\/1 + 0). Suppose 4*d - 31 - 33 = 4*m, -w*d - 3*m + 47 = r. What is the remainder when 75 is divided by d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*y + 333 = 354. Which is smaller: y or -2\/31851?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a centimeter in micrometers?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/8, -1\/428, -2\/5, 0.11, 9?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 5:48 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 591.91 - 561.5. Let q = -29.2 + u. Round q to 0 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 29, -5, -61, -145, -263, -421, -625?\nAnswer: -881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13.3 + 1.3. Let h = 10.25 + j. Let k = 3.1 + h. What is k rounded to 1 dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - t**2 + 2*t + 3. Let d(o) = -4*o**3 + 2*o**2 - 9704*o - 6. Give -d(z) - 2*f(z).\nAnswer: 2*z**3 + 9700*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.82371 minutes to microseconds.\nAnswer: 5749422600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 161713781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 4*p**2 + 2*p - 2. Suppose -s - 1 - 3 = 0. Give w(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 6 = 2*b, 5*o - 34 = b + 3*b. Let t(p) = p - 2. Let x(w) = -w - 1. Let i(a) = t(a) + 2*x(a). What is i(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -192596*d**4 - 142294 wrt d?\nAnswer: -770384*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**4\/16 - 19*q**3\/2 - 111*q**2\/2 + 845*q. Factor i(v).\nAnswer: -3*(v + 2)*(v + 74)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90625 divided by -125.\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4500)\/(-50))\/(-9)*(-1)\/6.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(1408)*-2)\/((sqrt(66)*-2)\/sqrt(6)) + 5*(-1 + sqrt(242) + sqrt(242) + 1)*-4)**2.\nAnswer: 373248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 499*c = 502*c - 12. Let r(f) = -7*f - 2. Let l(g) = -6*g - 2. Determine c*r(j) - 5*l(j).\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + 3. Is z at least 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h - 5. Let z(q) = -12*q + 14. Give 11*k(r) + 4*z(r).\nAnswer: -4*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.143824226134 + 2\nAnswer: 2.143824226134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, n: 5, i: 1, m: 8}. Give prob of picking 2 m and 2 n.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1194, -1322, -1450?\n\"Answer: -128*v - 1066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nyyn when four letters picked without replacement from {n: 7, y: 9}.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 4*w + 8. Let r be m(4). Let y = r - -75. What is the biggest value in y, -0.1, 0.01, 1\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4780, -4793, -4804, -4813, -4820?\n\"Answer: g**2 - 16*g - 4765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + ((-455188)\/119140 - -1). Let l = 4\/2553 + w. Let y = l + -7\/15. Which is smaller: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.3 + 51.3. Let f = h + -48.6. Let m = -308\/897 - -10\/39. Which is the closest to -2\/3? (a) f (b) m (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44 + -25. Let t be (-2)\/9 + 411\/27. Let r = m - t. Calculate the remainder when 6 is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2\/11 (b) -1\/4 (c) 0 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 140101868?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -165 - -399. Calculate the highest common factor of a and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bh when two letters picked without replacement from {h: 4, b: 7}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c**2 - 3. Let w(s) = s - 1. Let l(v) = v**2 + 2*v - 2. Let b(k) = -2*l(k) + 4*w(k). What is b(f(x))?\nAnswer: -32*x**4 + 48*x**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ge when two letters picked without replacement from gve.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(25\/4))\/(r*r\/r**(2\/79)) assuming r is positive.\nAnswer: r**(-2283\/316)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -55\/582 != 3067?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/790470 and -95\/70264.\nAnswer: 3161880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-30)\/2)\/((-27)\/18). Suppose 2*z + 8 = 4*z. Let l be 164\/8 + (-2)\/z. What is the greatest common factor of d and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 6*y**2 + 6*y + 11. Give g(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 9*o**2 + 14*o + 5. Let t = 34 + -41. Let l be i(t). Sort l, 0, 3 in ascending order.\nAnswer: 0, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69 - -69. Let c be (1 - (-3)\/(-3))\/(1 + o). What is t in 0 + 0*t**2 - 1\/7*t**3 - 1\/7*t**4 + c*t = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15 - 1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*h = 41 + 10, 4*t + 81 = 3*h. Let n be (4\/10)\/(t\/(-30)). Factor 2\/3*o**2 + n*o**4 + 0 + 4\/3*o**3 + 0*o.\nAnswer: 2*o**2*(o + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 70941 = 5*q, -3*n = -2*q + n + 28386. Is q*(-7)\/(-42)*2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -31*q**2 - 26*q + 3. Let k(x) = 30*x**2 + 17*x - 2. Calculate 2*g(a) + 3*k(a).\nAnswer: 28*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/11)*c*c*(c**(-1)*c)\/c*c)\/((c**1\/c)\/c**(-4)) assuming c is positive.\nAnswer: c**(-24\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2 - 9*z. Let c = 8 - 4. Let v(y) = 2*y - y - y**2 + c*y. Let m(j) = -4*g(j) - 7*v(j). Find the second derivative of m(n) wrt n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 5. Is (381 + m)\/(3 - 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*h + 5978 = 10103 for h.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -5, 4, -129, 2999 in increasing order.\nAnswer: -129, -5, -4, -2, 4, 2999","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*f**2 - 7*f**2 + 23*f**3 - 6 + 24 - 5*f**3.\nAnswer: 18*f**3 + 3*f**2 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 5) in base 6?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sfcc when four letters picked without replacement from cifscf?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.325, 0, -138?\nAnswer: -0.325","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mddmddd. What is prob of picking 1 d and 2 m?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -395*k - 26. Let v(x) = 204*x + 13. What is 3*i(w) + 7*v(w)?\nAnswer: 243*w + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 - -51. Suppose -3*m + 139 = 5*r, -2*m + 4*r + 82 = 2*r. What is the remainder when m is divided by t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6628 + 28389. What are the prime factors of p?\nAnswer: 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1860300 and 14205.\nAnswer: 1761704100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 + 158 - 74 - 84.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-6)*36\/72?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 190577 by -74.\nAnswer: -190577\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -88539.2 rounded to the nearest 1000?\nAnswer: -89000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.70192 - -0.30192. Let u = 0.4 + 0. Which is the third biggest value? (a) -1\/5 (b) -0.05 (c) u (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2268 and 8428?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*g - 27281*g**2 + 19314*g**2 + 8*g in the form s*g**2 + a*g + v and give s.\nAnswer: -7967","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**2 - 13 - 8 + 40 - 16 - 6.\nAnswer: f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-7) - (-5700)\/(-35)) + -2. Let f = g - -171. Let d(p) = 7*p + 5*p - 2*p**2 + 0*p**2 + 7 - 4*p. Let c(a) = -a - 1. Determine f*c(k) + d(k).\nAnswer: -2*k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + 4*b - 20, -103*v + 105*v = -b + 7 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -30 divided by 7\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 15*r = -36 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 3*l - 20, -124*l - 5*q = -120*l - 6 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -12207 less than 1093?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*x - 492*x + 50 = 401*x - 77215 for x.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -n**6\/105 + n**5\/70 + n**4\/42 - n**3\/21 - 5*n. Let s(g) = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 45*r**2 + 97*r - 54. Let h be z(47). Calculate the highest common divisor of h and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11407 + 8?\nAnswer: -11388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(6*1*sqrt(200))\/(sqrt(60)\/((sqrt(54)*-2)\/sqrt(9))).\nAnswer: -144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + c + 4. Let p be t(0). Suppose -p*d + 2 + 10 = 0. Suppose -d*s + 4*s = -640000. Round s to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -z**4\/12 + z**3 + 3*z**2\/2 - 3*z. Give g(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164359026 a multiple of 523?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8560 - -51235\/6. Find the common denominator of 65\/24 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3109 + -2680.6. Let j = x - 428. Which is the nearest to 2\/7? (a) -3 (b) -1\/6 (c) j (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4891, -9787, -14695, -19615, -24547, -29491, -34447?\nAnswer: -39415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 25*l**2 + 23*l - 4. Let b be r(-26). Calculate the highest common divisor of 185 and b.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 412499233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1359 is divided by 324.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 769*g - 4627. Give y(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20883 + 5462 = 5*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 10*b - 11*b + 3*c, -c - 4 = 2*b. Suppose 0 = 2*s - 2*o + 124, 0*s = -2*s + 3*o - 125. Put 3, s, b in decreasing order.\nAnswer: 3, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**3 - 27*d**2 - 7*d + 78. Let w be b(-13). Solve 5*f - 2*f + 5*o = 10, w = 4*f + 5*o - 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34562?\nAnswer: 2, 11, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 444 = -15*z. Suppose 0 = 3*f - 2*f - z. Is f a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 732 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -650*s + 10679. Calculate u(17).\nAnswer: -371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c + 26. Suppose 0 = -5*i + 3*l + 162, -4*l + 135 = 4*i - l. Suppose 0*y - 3*y = i. Calculate the remainder when z(y) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 5*t + 37, s + 2*s - 28 = 4*t. Is (-5 + 0)*(-61 + s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g. Let x be a(-6). Let h(u) = u**3 + 2*u**2 - 3*u + 1. Let i be h(-3). Calculate the highest common factor of x and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 16 = 3*r, 13 = 3*s - 2*r + 4*r for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 25 = -57. Let h(m) = -14 + 9 - 2*m + m + 13. Let y be h(s). Solve y = 4*c - 0*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 17, 26, 35, 44?\n\"Answer: 9*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6724591?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46\/33 + 30\/11. Factor 2\/3*q**2 + y + 2*q.\nAnswer: 2*(q + 1)*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d + 28 - 6 + 7*d**4 + 5*d**4 - 7*d**2 - 16 - 6*d**4 - 2*d**3 as a*d**2 + s + t*d**3 + b*d + x*d**4 and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/42443136 and -25\/144.\nAnswer: 42443136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 507 and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 375 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a kilometer in meters?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.972 + -0.028. What is the nearest to t in -3, -0.5, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/3, -8, -2\/7, -1073.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 14 = 2*a - 2, 2*k - 10 = 3*a for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + -25 - (-7 - -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300*g - 9555 = 209*g. Calculate the highest common factor of 930 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 4 + 1 + (-2 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1693 is divided by 843.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 2345 to the nearest 100.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -348*p + 2089. Let j be k(6). Which is the biggest value? (a) 0.1 (b) j (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*z - 30*z = -104. Suppose -w - r + 2*r + 2 = 0, -r = -5*w + z. Solve 0*f = -2*f - w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v + 7. Determine c(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 2*t = -8*t - 14, 3*g - 4*t = 32 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -25*m**3 - 3695*m**2 + 15870*m - 13680 = 0.\nAnswer: -152, 6\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -6*b + 20. Let d be j(-15). Suppose 8 = 2*k, 0*s = 2*s + k - d. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.28*0.01.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -7*d**2 + d + 2. Give m(2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*a - 42 = 0. List the prime factors of a.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 5*g = 2175, 0 = -3*g - 0*g - 9. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 14*t**2 + 330*t + 23. Let a(n) = -5*n**2 - 110*n - 8. What is -17*a(y) - 6*g(y)?\nAnswer: y**2 - 110*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 4*p + 2. Let q be j(4). Let f(x) = -x + 3. Let z be f(3). Solve z*y = -q*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 15*u + 11. Let m(d) = 165*d + 120. Calculate -6*m(n) + 65*y(n).\nAnswer: -15*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -261 (base 9) to base 15.\nAnswer: -e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(225) + sqrt(25))*1 - sqrt(25)) + sqrt(25))\/((sqrt(80) - sqrt(5))*4).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -447102*h**2 - 7*h + 8. Let a be k(4). Let d = 15653652 + a. What is d rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 593 = -y, -4*y + 542 = 5*c - 469. Is 20 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105416, 421653, 948716, 1686605?\nAnswer: 2635320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7685*c*d + 56*c - 119*d**2 - 130338 wrt d.\nAnswer: 7685*c - 238*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 3 + 3)*(-2*f + 0*f + 4*f)*(59 + 48 - 28) as n + z*f and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 1010011001011?\nAnswer: -1010011001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -82*b + 3363. Give s(43).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccfcccccccfccf. Give prob of sequence cc.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -83.07 + 1.07. Let o = l + 86. Suppose 3*w = -2*w. What is the nearest to w in 5, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53303, -53255, -53191, -53105, -52991, -52843?\nAnswer: -52655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z. Let v be t(-4). Let y(k) = -3*k**3 + 25*k**2 - 9*k + 10. Let j be y(8). Let g be -3 - j*2\/v. Sort -3, g, -1\/4 in increasing order.\nAnswer: g, -3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**2 + a - 123. Let p(l) = -l**2 + l - 62. Let w(d) = -5*p(d) + 2*s(d). What is the remainder when w(0) is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -204 (base 7) to base 14.\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.6 (b) 5\/8 (c) -18\/5 (d) 5 (e) 9\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 16 = 5*p - 34, 5*n - 5*p = 150. Suppose -4*l - 4*u = -3*l, 2*l = -3*u + n. Is (-2)\/10 - (-344)\/l a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -256.39995196 + 256.4. What is s rounded to six dps?\nAnswer: 0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.94 + -1.34. Sort -6\/19, 5, m in ascending order.\nAnswer: m, -6\/19, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -1034?\nAnswer: -1041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17833766857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 53472325987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 20, 19, 18, 17, 16?\n\"Answer: -i + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1503998139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1146, 1147, 1148, 1149, 1150?\n\"Answer: i + 1145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/4 of a year?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.765 in -3\/13, -4, 0.3, 2\/7, -4\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 16*y - 3. Determine q(16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204575?\nAnswer: 5, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/14796 and 89\/2784.\nAnswer: 3432672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -9*k**2 + 30*k + 703. Let f be o(0). Suppose -5*d - 116 = -3*t, 4*t - 8*d - 152 = -4*d. Calculate the greatest common factor of f and t.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 49*w**2. Let k(r) = 5*r. Calculate k(y(d)).\nAnswer: 245*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**5 - 20*a**4 - 100*a**3.\nAnswer: -a**3*(a + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10 + -4*(-7)\/28. Let c(d) = 2*d**2 - 20*d - 8. Let i be c(o). Which is smaller: 7 or i?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 u when four letters picked without replacement from {p: 2, k: 7, u: 3, d: 1, r: 4}?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66689 is divided by 494.\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41 - -41. Let y = 1010 - 1011. Sort 3, y, 7, t in descending order.\nAnswer: 7, 3, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1314635 is divided by 284.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 949.4388 days to nanoseconds.\nAnswer: 82031512320000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 2*o - o + 6*o)*(73 - 73 + 17*o)*(13 - 13 + 17*o).\nAnswer: 1445*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 c when four letters picked without replacement from {q: 4, t: 1, c: 1, m: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 195, 167, 135, 111, 107, 135, 207?\n\"Answer: 2*z**3 - 14*z**2 + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1815846245*h**2 - 571710*h + 45.\nAnswer: 5*(19057*h - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -63.97 - -10.\nAnswer: -53.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - s = -b - 54, -5*b - s = -132. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 7) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1600 or 1?\nAnswer: 1600","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1573\/4 + -393. Let j = 26.94 + -27. Sort o, j, 3\/7.\nAnswer: j, o, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -17 + 53. Suppose -k - 4*k + 40 = 0. Let n = v + k. Solve 3*m + 5*t = -n, 5*t + 30 = -5*m - 0*t for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 - 408*o - 13797.\nAnswer: -3*(o + 63)*(o + 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q + 5. Let h be p(-8). Let b = h - 17. Suppose -3*k + b = -k + 2*d, 0 = -2*k + 2*d + 8. Put -4, 4, k in ascending order.\nAnswer: -4, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -2*z - 17, -3*q - 9130 + 9135 = 4*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p + 8. Suppose 0 = -5*f + 4*g + 22, 0*g + 3*g = -3*f + 24. What are the prime factors of a(f)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 10*d = 24. Suppose 7*m + 2 = -n + 3*m, -d*n + 5*m = -13. Calculate the highest common factor of 34 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 q when three letters picked without replacement from nnjjzjnnjqej?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 336285401 divided by 3.\nAnswer: 336285401\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4885 - -5327. Calculate the highest common factor of z and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 92980.3 from -4.\nAnswer: -92984.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**5)**(-2\/17)\/(i**(2\/33)*(i*i**(3\/7))\/i) assuming i is positive.\nAnswer: i**(-4231\/3927)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 14, u: 5, s: 1}. Give prob of picking 1 u and 3 b.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.1 - 0.1. Let t = -649\/3412 - 51\/853. Which is the closest to o? (a) -6 (b) t (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 4*j**2 + 11*j**2 + j**4 - 2*j**4 + 3*j**4 + 6*j**3 to x*j**3 + d*j**4 + w*j + z*j**2 + t and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2582 a factor of 637771053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, 121\/4, 2, 14\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 greater than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 4*c**2 + 15*c. Let y(z) = -431*z + 720*z - 279*z. Determine l(y(q)).\nAnswer: 400*q**2 + 150*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4 = -3*d. Let k(o) = 5*o**d + 13 - 2*o - 3*o - 13 + o**3. Let g(l) = -3*l**3 - 11*l**2 + 11*l. Calculate -3*g(j) - 7*k(j).\nAnswer: 2*j**3 - 2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -4*m**4\/3 - 2*m**3\/3 - 9*m - 17. Let n(i) be the first derivative of w(i). Suppose n(d) = 0. What is d?\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-19)\/(-19) + 34\/24. Let w = 7\/4 - n. Is 0.2 less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 - -35. Let n be ((-12)\/(-2))\/(0 - r). Suppose n*m = -3*m + 275. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -11*z**6\/60 + 3*z**5\/2 + z**2 + 25. Find the third derivative of m(x) wrt x.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ueae when four letters picked without replacement from baaubebbebebebbbbaea?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -5. What is the nearest to 2 in -2\/7, -4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106971448.5 milliseconds in weeks?\nAnswer: 0.17687078125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of 5*w - 47 - w + 37 + 2*w**2. Let s be u(0). Solve 3*i = -i + s for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and 84.4.\nAnswer: 84.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 415661*h**3*v**3 + 14*h**3*v - 2*h**3 - h*v**3 + 1305*h*v**2 + 11*h*v - h + v**3 + 178*v**2 wrt h.\nAnswer: 2493966*h*v**3 + 84*h*v - 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 833*i**3 + 118*i**2 wrt i?\nAnswer: 4998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -518 - 463205?\nAnswer: -463723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n - 14. Calculate the remainder when 36 is divided by i(11).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4808388 = 6*p + 12771612. Round p to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**3 + 8874*o**2 - 5082*o**2 + 6*o**3 - 3792*o**2.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/198 and 3\/220.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)*-4)\/sqrt(12) + ((3 + sqrt(18))*5)**2.\nAnswer: 438*sqrt(2) + 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b + 2. Let h be i(-12). Find the second derivative of 12*x + 14*x**2 - 22*x + h*x wrt x.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + v. Let i(f) = -f**3 - 12*f**2 + 46*f - 64. Let p(j) = -i(j) - 2*y(j). Factor p(z).\nAnswer: -(z - 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 806.72 to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 138 + 133 - 106*i**4 + 10*i - 8*i - 304 in the form w + q*i + x*i**3 + d*i**4 + f*i**2 and give w.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ooeoooee?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 4*v + 4. Let c be a(2). Suppose -8*z + 3883 + 3677 = c. List the prime factors of z.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -553*m**2 - 4*m + 12. Let z(n) = -553*n**2 - 3*n + 9. What is 3*f(r) - 4*z(r)?\nAnswer: 553*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/2720935 and -50\/7803?\nAnswer: 73465245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + j - 38298 = 0, 2*s + 17*j - 15309 = 20*j. List the prime factors of s.\nAnswer: 3, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1079*o + 976*o + 492*o - 126900 = -153*o for o.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1183\/126 + -9 + 2\/(-9)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 1138*g + 12409. What is k(-11)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 648961 (base 11) to base 8\nAnswer: 3750602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.059985 less than -369619?\nAnswer: -369608.940015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z**(-2\/11))\/(z\/(z*z*z**(-3\/8)*z*z*z)))\/(z*z\/((z\/((z*z**(-1)*z*z)\/z))\/z)*z)**(-7))**(-2\/145))**(-31\/2) assuming z is positive.\nAnswer: z**(17701\/2552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14232 and 61968.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -222\nAnswer: 5\/222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -359, -723, -1087, -1451, -1815, -2179?\n\"Answer: -364*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -1\/85, 1\/146 in descending order.\nAnswer: 1\/146, -1\/85, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9141787 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 - -0.3. Let k = u + 0.3. What is the closest to 0.1 in k, -0.4, -0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3448288?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-28)\/(-16)*4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69735 is divided by 69449?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23365581593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 1:58 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 15 + 217*m - 13 + 146*m - 506*m.\nAnswer: -143*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**4 - 16799*v**3\/5 - 2811621*v**2 + 87786963*v\/5 - 16994934\/5 = 0.\nAnswer: -1683, 1\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -q**4\/24 + 3*q**2. Suppose 4 + 8 = 6*i. Let a(o) = -2*o**i - 5*o**2 - 8*o**2 + 4*o**2. Determine z(a(d)).\nAnswer: 11*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*q + 26 = 0, 8*f - 3*q = 10*f + 24. Let c be (0 + (-21)\/f)*2. Solve -c = 4*w - 11 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, q: 4, v: 2}. What is prob of sequence qv?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -945, -1890, -2833, -3774, -4713?\n\"Answer: c**2 - 948*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 12 = 4*f, 5*f - 35 + 4 = -3*r. Suppose 7*m = r*m + 10. Solve -m*x = x, -5 = -d + x for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -0.9.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 2*d - 1. Let a be c(-3). Let p be -40*(-1 - a\/8). What is the tens digit of 72\/(-5)*p\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14\/55 - -5\/11. Let f = -3.1 - -3. Which is the second smallest value? (a) f (b) y (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2036367341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-14)*v*v*v*v**(-17)*v assuming v is positive.\nAnswer: v**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 35 or 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2304)*2)\/(sqrt(648)*3 + sqrt(648) - sqrt(18)) + 3.\nAnswer: 16*sqrt(2)\/23 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -440*x - 99. Let c(z) = 9*z + 2. Calculate 99*c(d) + 2*j(d).\nAnswer: 11*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5*k = -15, 4*k - 8 = -m + 8. Let b = 1 - -6. Calculate the remainder when m is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**2 + 6*k - 20 = 0. Calculate k.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/11, -3, 196.56, -2\/7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2823*z. Let d(h) = 12*h. Calculate f(d(w)).\nAnswer: 33876*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -396*v + 590. Let a be p(7). What is the remainder when (-11*6\/(-66))\/((-2)\/a) is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 13, 24, 41, 64, 93, 128?\n\"Answer: 3*p**2 + 2*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n**2 - 7*n**2 + 8*n**2. Let h(b) = -3*b + 3*b + 3*b**2. Give h(r(l)).\nAnswer: 12*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15098?\nAnswer: 2, 7549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 5*a - 23 = 3*r, -25 = 5*a for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.5 - 4.68. Let w = -0.01 - g. Is w at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 3*y - 54. Solve -5*i + y = 4*v, i + 5*v - 37 = -2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -170179?\nAnswer: -3\/170179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/600 and 91\/200.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g**2 - 166*g + 1454. Determine w(-63).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -16, 2\/17, 5\/2, 0.11 in decreasing order.\nAnswer: 5\/2, 2\/17, 0.11, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12750593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwoo when four letters picked without replacement from {o: 2, w: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 1:47 PM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from ccyccuy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.012 - 20.988. Which is the nearest to -0.2? (a) x (b) -5 (c) 5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 1 - (10 - (-63)\/(-5))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(2\/7)*z*z*z*z**(-4))\/(z**(-2\/11)*z**5) assuming z is positive.\nAnswer: z**(-349\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 605403920 to the power of 1\/3, to the nearest integer?\nAnswer: 846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 1)*(28 + (-9 + 4 - 9))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k - 15. Let w be h(-5). Let z be (3\/4)\/(w\/(-40)). Put 13, z, -3 in increasing order.\nAnswer: -3, z, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309602 is divided by 3822?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/4134 and -5\/4.\nAnswer: 8268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(1300) - (sqrt(1300) + -4 + sqrt(1300)))**2*4.\nAnswer: -320*sqrt(13) + 5260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k = -7*k - 3*v + 4, k = -0*v + v for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1908 + -1910. What is the second smallest value in i, 6\/11, 1\/3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-3*sqrt(77)*3)\/(sqrt(35)\/(sqrt(35)\/(sqrt(7) - -2*sqrt(7)))).\nAnswer: -15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1210 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1425, 1450, 1461, 1452, 1417, 1350?\n\"Answer: -o**3 - o**2 + 35*o + 1392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 952909 is divided by 86627.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u + 13. Let w be t(-3). Let a be 2 + (-3 - w\/(-2)*1). Solve 0 = -p - 3*o + 7*o - 7, 5*p - a*o = -3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 0*r = 6. Calculate the remainder when (21\/(-15))\/((-2)\/10) is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -810 + 809. Suppose 0 = h - 46 + 18. Suppose h = -3*k - 4*x, -k = 4*k - x + 16. Sort a, k, 0.\nAnswer: k, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 138999 (base 15) to base 12.\nAnswer: 394283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + (-4 - -7))*2\/(-6). Let y = -6011\/31 + 194. Which is greater: y or m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*u + 44*u + 84*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + g**2 - 2*g - 4. Calculate the lowest common multiple of i(3) and 6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23\/4 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 3*j - 5*u, 113*j - 108*j + u = 16 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/((-10)\/(-16)) - -3. Let i(n) = -n - 6. Let x be i(b). Let r = -8 + 9. Sort r, 3, x in descending order.\nAnswer: 3, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(-4)*d*d))**50\/(d**(-13)\/(d\/(d*(d*d\/(d*d**6))\/d))) assuming d is positive.\nAnswer: d**119","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 7*p**3 - 23*p**2 - 41*p - 31. Let b(v) = 2*v**3 + 2*v**2 + 11*v + 1. Let n(h) = 2*b(h) - f(h). Suppose n(j) = 0. What is j?\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*u + (-2*u - 1 + 1)*(-4 + 3 + 3) + 4 - 4 - 2*u + 0*u + 2*u - 3*u + u - 4*u + 2*u)*(u - u + 3*u)*(264*u - 589*u + 225*u).\nAnswer: 1800*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in -2\/3, -0.17, -74, -3, -0.5?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zmaullz. Give prob of picking 2 l and 1 u.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (3 + 8 + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -186, 5, 0, 1 in increasing order.\nAnswer: -186, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 3\/4, 5, -2, 0.05 in ascending order.\nAnswer: -15, -2, 0.05, 3\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 10. Let u be ((-2)\/12*-2)\/(b\/9). Find the second derivative of 5*w**4 - 17*w**4 + 11*w - u*w**4 - w wrt w.\nAnswer: -180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28940, -115739, -260406, -462941, -723344, -1041615, -1417754?\nAnswer: -1851761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 13*y + 133. Let c be s(-9). Let f = 566 + c. What are the prime factors of f?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18a64069 - 1?\nAnswer: -18a6406a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 213 - -21?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2689134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 6)*(y + 2 - y - 2*y).\nAnswer: -8*y + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2682 - -8044\/3. Let k = 37 + -34. What is the biggest value in k, 6, h?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5*y = -35, -3*l - 2*y = -0*l - 62. Solve -5*r + l = -0*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.9 - 0.9. Which is the biggest value? (a) 0.1 (b) -3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 71 - 59 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 210 and 539?\nAnswer: 16170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 52763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 35*x + 6. Let j(v) = 24*v + 4. Let m(u) = -3*j(u) + 2*l(u). Let c(h) = -2769*h**2. Determine m(c(n)).\nAnswer: 5538*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 1\/6 (c) 4.4 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/8 - 6\/(-48)*10. What is the nearest to i in -0.2, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*s**5 - 3154*s**3 + 6*s**2 - 3931*s wrt s?\nAnswer: -240*s**2 - 18924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -g + 340 + 453, 5*g - 3*l = 3965. What are the prime factors of g?\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x - 4*o - 8, x - 26*o - 28 = -17*o for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-5))\/(4\/(-4)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-22)*h**13)**22 assuming h is positive.\nAnswer: h**(-176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72\/5*a - 12\/5*a**2 - 54\/5 - 8\/5*a**3 + 2\/5*a**4 = 0. Calculate a.\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53496 plus -0.4?\nAnswer: -53496.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*a**2 + 3*a**2 + 2*a**2 + (-2*a - 2 + 2)*(-4*a + 2*a + 4*a) - 2 + a**2 + a**2 + 3 + (-4*a + 3*a + 7*a)*(1 + 2*a - 1) + 5*a**2 + 0*a**2 - 10*a**2.\nAnswer: 3*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -146*b**3*q**2 + b**3*q - 71*b*q + 5*q**2 wrt b?\nAnswer: -876*b*q**2 + 6*b*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 - 17812420*f - 35624820.\nAnswer: -5*(f + 2)*(f + 3562482)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -18913.62014 to the nearest one hundred.\nAnswer: -18900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l + 7. Suppose 0*j + 4*j = -12. Give q(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3168235439 to the nearest integer?\nAnswer: 56287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 3*n**2 - 7*n + 4*n + 2*n + 4. Let a be f(-3). Solve 0 = h - 3*s + a, -3*s = -h - 7*s for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(700) - (-1 + sqrt(700) + 0)) + sqrt(700) + -3*(sqrt(700) + -1))*1)**2.\nAnswer: -160*sqrt(7) + 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i - 3 + 3)*(0*i**2 + 2*i**2 - 5*i**2)*(-3*i**2 + 1 - 1 + (1 - 1 + i**2)*(-19 + 263 + 310)).\nAnswer: 4959*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4\/3 - 2*r**3\/3 - 6*r**2 + 6*r.\nAnswer: 2*r*(r - 3)*(r - 1)*(r + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, s: 3, z: 2, x: 1}. Give prob of sequence oo.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 960*v - 4980 = 958*v. List the prime factors of v.\nAnswer: 2, 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 - 38. Solve 0 = z*h - 7*h - p - 7, 3*h = -4*p - 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, m: 10, e: 2, z: 3}. What is prob of picking 2 z, 1 m, and 1 e?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 782\/(-3128) - 27\/(-28)\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ucu when three letters picked without replacement from ccu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-14) + 26376\/(-28665). Let u = 2\/39 - y. What is the closest to u in -0.2, 1\/6, 4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -3*p - 1\/6*p**4 + 0 - 3\/28*p**8 + 0*p**7 + 0*p**6 + 0*p**2 + 0*p**3 + 0*p**5. What is the third derivative of j(y) wrt y?\nAnswer: -720*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4ad644 (base 14) to base 3.\nAnswer: -11211200121202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(5))**2*-4*-4.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k + 3*k - 256 = 0. Let n = -10 + 15. Suppose n*g = 9*g - 48. Calculate the lowest common multiple of g and k.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1508, 5509, 12174, 21503, 33496, 48153?\n\"Answer: 1332*x**2 + 5*x + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -55 + (-3 - -16) + (1 - -2) + -11?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -12074, -2 in decreasing order.\nAnswer: 3, -2, -12074","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 86, -530, -2200, -5452, -10814?\n\"Answer: -88*s**3 + s**2 - 3*s + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -18, -17, -18, -21, -26?\n\"Answer: -b**2 + 4*b - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/75171 (b) 3 (c) 0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11882296 is divided by 143?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2556 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/(-1008)*261 - 17.\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11150099 - 11150099 + 262*d**2.\nAnswer: 262*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**2)**(-46))**(-32) assuming h is positive.\nAnswer: h**2944","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.7 + -0.3. Let f = 293 - 81. Let b = 211.7 - f. What is the closest to q in b, -0.1, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 190 and 214.\nAnswer: 20330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 at least -56171?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - k + 1. Let z(v) = v**2 + v - 1. Let d(g) = -2*f(g) - 2*z(g). Let w(q) = 0 - 1 - 2*q + 1. Determine w(d(a)).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 277295.4 weeks in nanoseconds?\nAnswer: 167708257920000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**4 - 124*t**3 - 12550*t**2 - 251300*t - 238875 = 0.\nAnswer: -35, -1, 195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8476214 = -30*k - 273224. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t - 2*t + 2232376 = -5*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -4. Let i(o) = -2*o**2 + 10*o**2 + 37 - 17 - 23. Is i(p) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 378 and 210?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27069417 and 162416502?\nAnswer: 162416502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 698023 is divided by 341.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5858974 centuries in months?\nAnswer: 703.07688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 6*c**2 - 2*c - 5. Let h be 10*(2\/2 + 0). Suppose 13*w = 11*w + h. What is the least common multiple of 18 and p(w)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 832452848?\nAnswer: 2, 41, 61, 71, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25137 is divided by 24.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -11\/3 (b) 2\/17 (c) 0 (d) -1435 (e) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + -2. Let k = -4 - d. What is the closest to -1 in -2, 0.3, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108131 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28155252?\nAnswer: 2, 3, 2346271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 68362922 to the power of 1\/2, to the nearest integer?\nAnswer: 8268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in nineteen quarters of a hour?\nAnswer: 17100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - -1543.2.\nAnswer: 1543.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -126 - -389. What are the prime factors of d?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 19*l + 696*l**2 - 785*l**2 - 2 + 0*l.\nAnswer: -89*l**2 - 19*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -79, -497, -1625, -3817, -7427, -12809, -20317?\n\"Answer: -59*o**3 - o**2 - 2*o - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 3:39 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 + -11000?\nAnswer: -11022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8822.\nAnswer: 2, 11, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11b7 (base 12) to base 3.\nAnswer: -2202111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b + 10. Let f be d(-9). Let v be 2*2*14\/f. Let c = v - -10. Is 2 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.033 + 0.033. Let x be 0\/((-1)\/(1\/2)). Which is the second biggest value? (a) x (b) s (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, 5, 51, 149, 317, 573, 935, 1421?\nAnswer: 2049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 59*r. Let z(x) be the third derivative of -7*x**4\/2 + 874*x**2. Calculate z(o(h)).\nAnswer: -4956*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of r**2\/2 + 27*r + 313. Calculate x(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 0 - -2) + 8 - 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (-11 + 5 + 0)) + (2 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -134232\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -5*p + 21. Give h(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s**2 - 51*s + 256. Calculate the smallest common multiple of k(13) and 985.\nAnswer: 19700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 142 + -87. Let l = h + -30. Is 22 >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 6*f + 136 = 0. Let j = f - -787. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/12*(-330)\/3025.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 176895019.4496 and 0.5?\nAnswer: 176895018.9496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5*p + 3 = 0, 5*y - 48 = p - 0*p. Solve -8 = -3*u + x + 1, 3*u - 2*x = y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 475 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12236040 and 87330?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 97\/8 in -3, -3\/4, 2, -0.021?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -3*c**5\/4 + 23*c**4\/6 + 15*c**3\/2 + 29*c**2 - 2*c - 762. What is the second derivative of o(g) wrt g?\nAnswer: -90*g + 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 454*k**3 + 403 - 455*k**3 + 396 - 799.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 246\/4279 or 1?\nAnswer: 246\/4279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 - 616*t**2 + 49800*t - 360000.\nAnswer: 2*(t - 150)**2*(t - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(11)*-3 + -3 - (sqrt(132) + 5*(sqrt(132) - (sqrt(132) - sqrt(132)*-2) - sqrt(132)))\/sqrt(12).\nAnswer: -2 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-1) - (-1)\/(-1). Suppose -v + 90 = r*v. Let k = 53 - v. List the prime factors of k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 6:34 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 1:43 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.8847*-0.1.\nAnswer: 0.18847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1484211?\nAnswer: 3, 494737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l - 5*k - 55, l - 1990*k = -1992*k - 19 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 125670303*d**6 + 220099074*d**2.\nAnswer: 15080436360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 123386 and 551684.\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 102518077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 46*f**3*l - 68*f**3 + 90*f*v + 73*l*v + 2 wrt l.\nAnswer: 46*f**3 + 73*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23087935?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -913.7*-63963.\nAnswer: 58442993.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2.1 - -265077540\nAnswer: 265077537.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21090 and 627?\nAnswer: 231990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106994.\nAnswer: 2, 61, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 85954 times -82.5?\nAnswer: -7091205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*a = -213*a + 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377)*-3)**2 + 0 + sqrt(272).\nAnswer: 4*sqrt(17) + 12393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 - (14 - 16).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000106616731 rounded to 7 decimal places?\nAnswer: -0.0001066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(1\/3)*y)**(-18)*y**(-2\/7)\/(y**(5\/3)\/y))**(1\/17) assuming y is positive.\nAnswer: y**(-650\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -28*p + 16952. What are the prime factors of p?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((5\/10)\/(2\/(-228)))\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/7 + 25094*h**2\/7 + 1180320*h + 98469504.\nAnswer: 2*(h + 168)**2*(h + 12211)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, -2, 3, -6 in increasing order.\nAnswer: -64, -6, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 26225656 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4438008 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 2 - 8. Suppose -2*p = 2*p - 20. Put z, -3, p in increasing order.\nAnswer: -3, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202001202 + 10?\nAnswer: -202001122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*h*j*z - h*j + 19*h*z - h - 62*j*z - 2*z + 3 wrt j.\nAnswer: -15*h*z - h - 62*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -41*c**4\/4 + 38*c**3\/3 - 22. What is the third derivative of y(p) wrt p?\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {l: 5, t: 14}?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -29177 - -185?\nAnswer: -28aa2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 10 = -5*c, c = -y + 3*y + 2. Let l be (-1733)\/(-2 + 39\/(-6)). Let s = -204 + l. Is s >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9847456253.69099975 - 9849293129.991. Let h = f - -1836877. Let u = h - 0.7. What is u rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 8199546.\nAnswer: -4\/4099773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 10:30 AM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -113 + 119. Suppose i + 4*p = m*i - 214299988, 0 = -4*i - 4*p + 171440012. Round i to the nearest one million.\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(40\/(-12)))\/(((-592)\/(-160))\/(-37)). Let k(p) = p**2 - 1. Let i(f) = 5*f**2 + 15*f - 5. Calculate t*k(x) - i(x).\nAnswer: x**2 - 15*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(13\/5)\/t**17)**(1\/26) assuming t is positive.\nAnswer: t**(-36\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 2*d - 1. Let z be s(-2). Let j be z\/1 + ((-2)\/1 - -4). Suppose n - j*n = 984. What is n rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.869 and -78.\nAnswer: -76.131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3 = -12. Let j be r\/3 + -1 + -8. Let q(d) = 8*d - d**2 + 225 - 217 + 2*d**2. What is q(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 3017383?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**5 + 1065*l**4 + 13000*l**3.\nAnswer: 5*l**3*(l + 13)*(l + 200)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-5)*q)*q**(-2\/3)*q*q*q)**(4\/5) assuming q is positive.\nAnswer: q**(88\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 70.0342 tonnes?\nAnswer: 70034200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 31679*v - 31671*v = 36, -13*v + 36 = -4*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-3 - (3 + -3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2942 and -22199960?\nAnswer: 22202902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*f = 26*f - 2. Let u(b) be the third derivative of b**6\/120 + b**4\/24 - b**3\/6 + 24*b**2 - 2. Let x(m) = 3*m**3 + 3*m - 1. What is f*u(a) + x(a)?\nAnswer: a**3 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 4\/(-1 - 1). Suppose b = 3*f - 7 - 5. Let w = 1 + f. Solve 10 + 0 = -5*n + 5*i, -4*n = -w*i + 9 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -o - 3*o, a - o + 4 = 0. Suppose -8 = -5*r + 3*r, 5*r = -3*c + 2. Which is smaller: a or c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -480*v**3 + 2*v**2 - 4. Let k(g) = -479*g**3 + 3*g**2 - 6. Give 4*k(o) - 6*r(o).\nAnswer: 964*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of 2*j**3\/3 + 1. Let g(y) be the third derivative of -y**5\/30 + 13*y**3\/6 - 1353*y**2. Calculate r(g(f)).\nAnswer: 8*f**4 - 104*f**2 + 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 990833592?\nAnswer: 2, 3, 7, 5897819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*o = 3. Let x be 37\/o + (2 - 0). Let v be 3200\/((4\/x)\/2). What is v rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 1331 - 2662 + 1331 - 231*s**2. Let n(z) = -2*z**2. Calculate m(n(k)).\nAnswer: -924*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -11 (c) -2\/7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32516684 is divided by 7809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -2*(-3 - -6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.5999792 + 5.6. Round i to six decimal places.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 5*m + 46. What is the remainder when (106\/8 + -2)*4 is divided by m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -10 (b) -16 (c) 0.1 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -124031838 by -1414.\nAnswer: 87717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 e when three letters picked without replacement from {k: 1, y: 1, e: 1, s: 1, f: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -907 - -88.\nAnswer: -819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/18)\/(2165\/(-3897))*-65.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -90, -179, -298, -447, -626, -835?\nAnswer: -1074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 7 = -r, r - 3*g = 2*g - 22. Find the second derivative of c**2 + 4*c**3 - c**2 - c**r - 3*c wrt c.\nAnswer: 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28666.002 months to decades.\nAnswer: 238.88335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20228.5 + 20228. Let u = 0.7 - 1. What is the nearest to 0 in x, u, -4\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2 + 2*s - 2. Let t be (-12)\/6 - (-2 + 3). Calculate n(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**14*x*x)\/x*x**(-11)\/x assuming x is positive.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: c3 (base 16) to base 8\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1992 and 2123970.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -99\/2 (b) 1\/7 (c) 5 (d) 3\/11 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n**2 - 3*n - 2. Let p = 1 - -3. Let o be x(p). Let v be (4 + -2)*o\/4. Calculate the greatest common factor of v and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (-3)\/((-6)\/4). Let i(y) = -3*y - 3. Let a be i(-2). Solve z = 0, -j*g - a*g - z - 25 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - 2\/(2\/(-3)). Suppose 2*x + 6 = d*x. Solve -2 - 1 = x*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -19 + 17 + (-1)\/(2\/(-424)). Let t = 83 + w. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 13*m - 42. Let w be s(4). Let c be ((-12)\/10)\/((-4)\/w). Calculate the remainder when 83 is divided by (-6)\/(c\/(-14) - 0).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 8*q + 51. Calculate y(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3 - 959*d**2 - 83600*d - 1085888.\nAnswer: -(d + 152)**2*(3*d + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*p + 19 - 19)*(-p**2 + 2*p**2 + 0*p**2).\nAnswer: -13*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 205758322 and 805?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 896455601?\nAnswer: 3089, 290209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 819*r - 2*r**3 - 90*r - 161*r to the form f*r**3 + z*r + m*r**2 + t and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51\/4 - 875\/68. Suppose 0*p + 3*p + 18 = 0. Let o be (-4)\/(-6) + 28\/p. Put o, -1, i in descending order.\nAnswer: i, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101010 (base 2) to base 12.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183971 is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 66951461 plus -148431?\nAnswer: 66803030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + a = 0. Suppose -5*t - 5*u + 391 = -144, 4*u = -8. Suppose -y + a*y = -t. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -50 - 6\/(-5 + 3). Suppose -4*d + 208 = -4*c, 5 - 109 = -2*d - 2*c. Let s = x + d. Solve y + 2 = i - 2, s*y - 4 = -3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -a + 4, -8 = -a + 4*d + d. Let s = a + 4. Suppose h = 4*m + 25, s*h - 3*h - 4*m - 15 = 0. Solve -3*w + 5*w = -y - 5, -4*w - h = -3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 1) + ((-385)\/(-112))\/11. Which is bigger: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.13 + -0.14. Let p = g - -0.21. Which is the third smallest value? (a) 1 (b) p (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14820?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3 = -3*k, -3*r + 2*k = 3*k + 7. Which is the smallest value? (a) 4 (b) r (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(-9) + (-182)\/42 + 7. Solve 4*z - g = h, 2*z - g - 34 = -32 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-598)\/520 - (-3 + 2 + (-12)\/(-20))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -720 by 10453.\nAnswer: -720\/10453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3609 a factor of 4035509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3548, -3542, -3526, -3494, -3440, -3358, -3242?\n\"Answer: c**3 - c**2 + 2*c - 3550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 34 = -104*p - 106*p + 206*p, 0 = 4*j - 5*p + 4 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4 + 28*o**3 - 48*o**2.\nAnswer: -2*o**2*(o - 12)*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -337 + 503. Suppose -4*a = -2*z - b, 2*a + 4*z - 53 = -z. Suppose -3*w + a = -33. Solve 0 = 5*h + 2 + 8, 4*d - 4*h - w = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 1776 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 3*h - 4*x + 8 = 0, 4*h + x = 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66 - 57*h - 66 + 0*h + 0*h - 4*h + (0*h + 0*h + h)*(2 - 2 - 3) - h + h + 2*h + (-2 + 3 - 2)*(4 - 4 - 2*h))*(-2*h - 2*h + 5*h).\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 + 0*b + 0*b + b**2 - b + b + (-1 + 3 + 0)*(-5*b**2 + 2*b**2 + 2*b**2) - 4 + 4*b**2 + 4)*(2 + 3*b - 2).\nAnswer: 18*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xhxhhhahhhwwhxxhh. Give prob of sequence xah.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5 = 3*n + 5*u, 4*u = -5*n - 1. Find the second derivative of -5*k + k**2 + n*k - 2*k**2 + 0*k**2 wrt k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((y + 3*y - 3*y)*(y - y**3 - y) - 14*y**4 + 2*y**4 + y**4 + (0*y - y**3 + 0*y)*(-2 + 2 - 2*y))*(2*y - 3 + 3).\nAnswer: -20*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*x + 15 + 73 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -138449, -276896, -415343, -553790, -692237, -830684?\n\"Answer: -138447*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13*d**2*w + 3*d*p*w**2 - 13*p*w**2 - 14*p wrt d?\nAnswer: 26*d*w + 3*p*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 2749*a**4\/4 - 1285*a - 28. Differentiate d(n) wrt n.\nAnswer: 8247*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 52002 - -358?\nAnswer: 52360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - u + 20 - 9, 0 = n - 5*u - 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 281656351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 3. Which is the closest to -0.1? (a) -0.4 (b) -2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-56)*((-3)\/(-15))\/((-18)\/(-180))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*h**4 + h**4 - 7*h**4 + (-3 - 2*h**2 + 3)*(-h**2 + 2*h**2 + 0*h**2) to the form z + d*h**3 + a*h**4 + n*h**2 + j*h and give a.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five quarters of a week?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -2*k - 3*f, -4*k + 41 = f - 60. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 9:36 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s**2 - 291 + 291. Let d(v) = 7*v. Calculate d(k(t)).\nAnswer: -21*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.047 (b) 40 (c) 3\/8 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 397035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(3\/4))\/q)\/(q*q\/(q\/(q**(-8\/5)\/q))) assuming q is positive.\nAnswer: q**(17\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -220121212210 (base 3) in base 5?\nAnswer: -111002243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1163643168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 38.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2 - 9212*x + 18416.\nAnswer: 2*(x - 4604)*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.18, 7, 357, -3, -0.2 in descending order.\nAnswer: 357, 7, 0.18, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k. Let u(s) = -673*s - 18. What is u(n(d))?\nAnswer: -1346*d - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 276*p = 342482 - 58478. Solve -144 = 1013*w - p*w for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = -80 + 101. Let p(n) = n**2 + 2*n + 3. Let s be p(-2). What is the greatest common factor of t and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 5:25 PM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -10 + 25. Calculate the greatest common divisor of u and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 12*v + 117 = 0 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21460 and 407?\nAnswer: 236060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62238 is divided by 3888?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 32 = 11*p. Suppose 5*u + 3*j = 505, 5*u = 3*u + p*j + 202. Is u a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 231648312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*i + 2*i - 4*i as j*i + b and give j.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 + -35.2803.\nAnswer: 15.7197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.2 + 9. Suppose 3*m + 2*w - 1 = 0, m = 3*m + 4*w + 10. What is the nearest to -2 in m, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1132387 is divided by 144.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -437\/2 + 257. What is the common denominator of v and -39\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 55*n. Let o(c) = -13125235*c**2. What is o(m(d))?\nAnswer: -39703835875*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(5\/9)\/b**(-34))\/(b**(-8)\/((b\/((b**(34\/5)*b)\/b))\/b*b)) assuming b is positive.\nAnswer: b**(1654\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 504, 467, 430, 393, 356?\n\"Answer: -37*f + 541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -9*m. Put 12, m, -2 in descending order.\nAnswer: 12, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296092759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -24467 (base 10) in base 9?\nAnswer: -36505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*n + 165*n + 34*n + 136*n to the form d*n + j and give d.\nAnswer: 359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 53\/49968?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 54*y**3 + 2*y. Let b(o) = -55*o**3 - 2*o. Give 3*b(p) + 2*i(p).\nAnswer: -57*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qudd when four letters picked without replacement from {d: 2, u: 6, i: 1, c: 1, q: 5}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 99.41 + -2.41. Let g = -96.9953 + w. What is g rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-6))\/((-3)\/(-27)*-2). Factor 2*r - 5*r + r - 2*r**s - 2*r**5 + 6*r**3.\nAnswer: -2*r*(r - 1)**2*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-81 - (0 + -9 - (-19 - -27 - 11)))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -30 + 1a3?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -179.23959 rounded to one decimal place?\nAnswer: -179.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 7:41 AM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 299852*u**5 - 67557*u - 2.\nAnswer: 5997040*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11160*o**5 + 777*o**3 - 14388388*o wrt o?\nAnswer: -223200*o**3 + 4662*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from uovv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h - 2*h + h)*(2*h + 2*h**2 - 2*h)*((-2 + 0 + 1)*(-8 - 1 + 3) - 1 - 1 + 0)*(-h + h - h).\nAnswer: -32*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16\/5*10*18\/(-72). Let l(q) = 3*q. Let g(x) = -4*x - x - 4*x. Give b*l(p) - 3*g(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18611823 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 12:13 PM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(((x\/(x*x**(1\/6)))\/x)\/x*x))\/(x\/x**(1\/9)))\/(x*x\/x**(2\/7)*x*x)**(2\/25)*(x\/x**6*x*x**0*x)**(-1\/46) assuming x is positive.\nAnswer: x**(37886\/36225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(48) + sqrt(2352) + sqrt(48))\/sqrt(12))\/((sqrt(54)\/sqrt(3))\/sqrt(9) + (sqrt(2) + sqrt(2)*-1)*-3).\nAnswer: -45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 7*g**5\/15 + 4*g**4\/3 + 11*g**3\/9 + g**2\/3 + 3. What is q in y(q) = 0?\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4991*z. Let v be d(-1). Suppose -16606 - v = 3*h. Let l = -57517\/8 - h. Calculate the common denominator of -52\/5 and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**1*d*d)**(-46\/7)\/((d*d\/(d*d\/d**(1\/8))*d)\/(d*d*d**(1\/7))) assuming d is positive.\nAnswer: d**(-97\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 357031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5165466?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 42 - 2 = -5*o, -4*o = 4*q - 40. Let n = 43 - 29. Calculate the least common multiple of o and n.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 17 + 13. Suppose -2*q + d = -2*t - 17, -2*q + 40 = -4*t. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8916 divided by -3314\nAnswer: -4458\/1657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.07 - 0.01. Let l = -3.06 + y. Let b = -2 - l. What is the third smallest value in 4, 5\/4, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3811 = 4*m - d, -3*d = -5*m - 0*m + 4762. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -32887.68510174 and 5.\nAnswer: -32882.68510174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -499 = 21*d + 4*x, 3*d = -5*x - 417810 + 417721 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/45)*n**(-11)\/n)**(1\/51))**(3\/5) assuming n is positive.\nAnswer: n**(-538\/3825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 13100?\nAnswer: 13088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - y = -0*y - 309, 309 = 3*o - 4*y. Suppose 109 - o = 6*g. Put 0, g, -3, -25 in ascending order.\nAnswer: -25, -3, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.62 (b) -2\/7 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 10) to base 16\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 11:48 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*x**4\/4 - 41*x**3\/2 - 18*x**2 - 7*x\/2 + 5\/4 = 0. Calculate x.\nAnswer: -1, 5\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -357, 4, 0, 2, 1252 in descending order.\nAnswer: 1252, 4, 2, 0, -1, -4, -357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -i**5\/20 - 7*i**4\/12 - 5*i**3\/6 + 3*i**2 - 7*i. Let r be m(-6). Suppose 4*h = -r*h + 204. List the prime factors of h.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2809827 and 81?\nAnswer: 25288443","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3277, 3276, 3275, 3274, 3273, 3272?\n\"Answer: -l + 3278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -213.6521 + 211.62. Let i = b - 589.2509. Let t = i + 591. What is t rounded to 2 decimal places?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 221\/385 + 2\/77. Let s = 7 - 7.1. Is s greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 3426956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 1 + 7. Let f be (-2)\/3 - a - -3. Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18456 + -17696. Does 3 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-1)\/(-2)*74\/(-1036))\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 235 and 42429297?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.09, 94, 2\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 0*j - 5*h = -15, -3*j + 3*h - 9 = 0. Calculate the remainder when 5 is divided by 1*-1 - (j - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 9:10 PM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 534296 and 819163?\nAnswer: 1363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.052359 to two decimal places.\nAnswer: 4.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 4*i = 0. Suppose i = 2*a - a. What is h in a*h**2 - 12*h**2 - 3*h**3 - 5*h**3 + 4*h**3 = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*l + 3688*l**4 - 3676*l**4 - 2 + 1 + 2*l**2 in the form d + b*l + f*l**3 + s*l**4 + w*l**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2398 and 25082?\nAnswer: 30073318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 60 = -20. Let m = k + 11. What is the second derivative of -2*n**5 + 38*n**3 + 3*n - 38*n**m + 17*n**5 wrt n?\nAnswer: 300*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7280.336954 - 471.\nAnswer: -7751.336954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8\/15 + 31\/30. Let k = -0.94 - -12.84. Let h = 12 - k. Which is bigger: h or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -190483*g + 31. Let l be p(18). Let d = 7298663 + l. What is d rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 171.2351 millilitres?\nAnswer: 0.1712351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 19*p + 37 = -15*p, -5*m - 22 = -p for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/(-6) - (-123)\/(-2). Is -64 at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/258735 and 62\/235.\nAnswer: 258735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 69, 0.1, -30\/541?\nAnswer: -30\/541","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rttitrrtt. What is prob of sequence trit?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 46, 574, 15 in decreasing order.\nAnswer: 574, 46, 15, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 25 + 3\/((-9)\/12). Calculate the highest common factor of i and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2563221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 936268690.\nAnswer: 2, 5, 7, 13375267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 433788 and 793206?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*p + 12*p + 4*p - 26*p to i*p + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 706*k - 78 = 693*k. Let y(u) = 5*u**3 - 3*u**2 + 3*u - 3. Let q(c) = 9*c**3 - 7*c**2 + 7*c - 7. Let j(f) = 4*q(f) - 7*y(f). Calculate j(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, 3, 4\/3, 1\/6?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 795 is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 3*c - 9 - 2.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -122, -465, -1148, -2297, -4038, -6497, -9800, -14073?\n\"Answer: -21*j**3 - 44*j**2 - 64*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = k - 9. Let u = 185 + -161. What are the prime factors of (k\/(-4))\/(u\/64)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1836045455 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.08 + 13.92. Let d = 0.23 - 10.23. Let g = d + f. Do 2\/5 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 270 divide 50855850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -3*i - 2 - 3\/2*i**2. Let c(w) = 5 + 7*w + 0*w + 2. Give 2*c(q) + 5*s(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 12*c. Let d(q) be the first derivative of -q**3\/3 - 4. Determine d(i(g)).\nAnswer: -144*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.6 and -0.0399467459.\nAnswer: 0.5600532541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18379 + 18385. Solve -30 = -3*j + 5*i, -j + 0*i + i + k = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5*b**3 - b**2 + 1. Suppose -w = 3*a + 2, 2*a + 0 = -2. Let x be u(w). Solve -f + 13 = 3*h - x*h, f = 3*h + 17 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/2 - 14255*p**2\/2 - 53144523*p\/2 - 16504348509\/2.\nAnswer: -(p + 341)*(p + 6957)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.34*-12.11.\nAnswer: 4.1174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5.6036244844116 and 0.1.\nAnswer: -5.5036244844116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**2 + 23*r + 16. What is w(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 417311*x. Let y(s) = 24*s**2. Calculate y(h(d)).\nAnswer: 4179563297304*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 3*t - 2. What is the tens digit of k(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fifteen quarters of a micrometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61959 by -16.\nAnswer: 61959\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - (-20)\/15) + 32\/12. Let w(j) be the third derivative of 0 + 0*j - d*j**2 + 0*j**3 - 1\/24*j**4. Let c(k) = 4*k**2. Give w(c(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 + -117?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3692, -3656, -3584, -3464, -3284, -3032?\nAnswer: -2696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184477.\nAnswer: 184477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 10*i**2 - 2*i - 1. Let h(k) = 11*k**2 - 3*k - 2. Let u(n) = 2*h(n) - 3*v(n). Suppose 3*t - 2*q = -13, 0 - 1 = -4*t - q. Give u(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24507 = -9*u - 0*u. What is the hundreds digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*r + 43 + 1, -r - 6 = 5*s. Suppose -12*g - 62 = -r*g. Find the third derivative of g*v**2 - 5*v**4 - 23*v**2 - 14*v**2 wrt v.\nAnswer: -120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51.6000413 - -51.6. Round m to six decimal places.\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -26*f**2 + 470*f - 41. What is h(18)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + 15\/(-3))\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 2*c + 1. Let a(d) = d**2 + d. Let r(z) = 6*a(z) - 3*l(z). Factor r(t).\nAnswer: 3*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6 is divided by (3\/12)\/(56\/224).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 0 + 5\/2*u**2 + 4*u + 0*u**3 - 1\/12*u**4. Differentiate w(f) wrt f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/(-8) - ((-75)\/(-10))\/(-15)) + -3. What is the closest to 20\/3 in l, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2 = -12. Suppose 11 = 3*q - 4*c, -5*q + w*c = -2*q - 10. Solve 0 = 5*a - 25, -q*k + a - 5 = -0*a for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 13*i**2 - 18*i + 40. Calculate c(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 697898 to the nearest integer?\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(24)\/sqrt(2))*1 + 2.\nAnswer: -sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -n + 151, 3*l = -8*n + 4*n + 97. What are the prime factors of l?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -7*i**3 + 2*i**2 + 2. Let d be q(2). Let m = d - -50. Find the second derivative of -13*n + 8*n + 31*n - 6*n**4 - 16*n**m wrt n.\nAnswer: -264*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/519 or -167155?\nAnswer: -167155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68, 412, 982, 1772, 2776?\nAnswer: 3988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, b: 2, q: 1, h: 1}. What is prob of picking 1 x, 1 b, and 1 q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 496 and 124?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -232a (base 12) in base 8?\nAnswer: -7522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.802 + -2.802. Let g = -3.865 + 3.9. What is the closest to -3 in 2\/11, g, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88918571 to the power of 1\/2, to the nearest integer?\nAnswer: 9430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Is -14\/5 less than 3\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -4*a + 21 + 17, -11 = 4*c - 7*a for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 548 and -1427515532.\nAnswer: -1427514984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -4*j - 1 - 3, f = -j + 5. Let u be (-8)\/f + 60\/2. Solve -p + m = -6*p - u, -3 = 3*p - 4*m for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - q + 13 = 0, -3*f + 2*q = -3*q. What is the closest to 0.1 in -1\/3, f, 13?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d = 3*d + 99. Suppose 0 = -d*h - 10*h + 84. Solve -3*l = n - 0*n - 11, 3*l + h*n = 26 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 3 + 11 - 426*q.\nAnswer: -426*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1904, -1859, -1814?\nAnswer: -1769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -20\/17, -3, 1\/2, -42, -0.25, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -746 + 750. Which is the closest to 1? (a) 0.4 (b) -1 (c) r (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 27. Let a = z - 13. Let v = a + 5. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*i**3*o + 3799623*i**3 + 29*i**2*o - 2*i**2 + 971*i*o - i + 18*o + 1 wrt o?\nAnswer: -2*i**3 + 29*i**2 + 971*i + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -140.6833 - -1.3533. Let k = -0.242 + -139.758. Let f = d - k. Round f to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 5:13 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (87 - -15) + -2 + -2 + -30 + 31?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.124*-123541.\nAnswer: 15319.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/3*(-306)\/544.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2266514*v**4 - 777*v**2 - 18*v - 15?\nAnswer: 54396336*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**4 - 75*j**3 + 190*j**2 - 120*j.\nAnswer: 5*j*(j - 12)*(j - 2)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 28*p**2 - 43*p + 407. Determine g(29).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 4, -47, -5?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 102101221012201?\nAnswer: -102101221012202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 83*a**2 - 8*a + 8. Let l = 625 + -622. Let z be b(l). Which is smaller: z or 730?\nAnswer: 730","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -6. Sort q, -1\/6, 0 in descending order.\nAnswer: 0, -1\/6, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 77*g**2 + 497*g + 100. What is y(83)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - a. Let y(j) be the third derivative of j**4\/12 - j**3\/3 - 2829*j**2. What is -3*o(z) - y(z)?\nAnswer: 3*z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 28*t + 81. Let r be m(25). Let g(i) = 6*i - 33. Calculate g(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167596 divided by 586?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 7:58 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, e: 7}. What is prob of picking 1 e and 2 z?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bm when two letters picked without replacement from {b: 1, h: 1, m: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17237489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c**2 + 6*c - 17. Let j be i(-5). What is the units digit of j\/((-5)\/25 + 6\/5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 7:32 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p. Let c(a) = 4537842*a. Give m(c(u)).\nAnswer: -4537842*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3613986 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - (-111)\/135)\/(232\/(-290)). Find h such that 2\/9*h**4 + 2\/9 - 4\/9*h**2 + 2\/9*h**5 + r*h - 4\/9*h**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**4 + 0*b**4 - 2*b**4 + (-2*b**2 + b**2 - b**2)*(-b**2 - b + b) + (1 + 4 + 1)*(2 - 7 + 3)*(-b**2 + b**2 + 2*b**4).\nAnswer: -23*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 998414, 1996817, 2995208, 3993587, 4991954, 5990309, 6988652?\nAnswer: 7986983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 60 = -279. List the prime factors of x.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 18*d**2 + 7*d + 9. Let f(y) = 53*y**2 + 18*y + 25. Determine 6*f(j) - 17*u(j).\nAnswer: 12*j**2 - 11*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 70.76 and -4.\nAnswer: 66.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 0*u**2 + 0*u + 9 + 4\/3*u**3. Determine i so that t(i) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 + 40 = 5*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -1\/3*i**3 + 0 - 1\/12*i**4 + 8*i + 3\/2*i**2. Determine s(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54974 is divided by 191?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4877951489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 454 - 99. Let b = a - 351. Solve b*x - 2*f - 3*f + 13 = 0, -2*x + f - 5 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -g**5\/15 - 359*g**4\/6 - 716*g**3\/3 - 175*g**2 - 7*g. Find z, given that f(z) = 0.\nAnswer: -358, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 232.418 - 23.484. Let r = 209 - g. Round r to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 6:33 PM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37\/1707584 or 1?\nAnswer: -37\/1707584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(-77))\/(1 + 2\/(-4))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -93 + 44. Let d = p + 49. Factor 2\/5*n**3 + 4\/5*n**2 + 2\/5*n + d.\nAnswer: 2*n*(n + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y + 3. Determine t(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 0.13?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0*c*c*c)**(-23\/3))**(-1) assuming c is positive.\nAnswer: c**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 4060.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3544.\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -z**2 + 4*z + 2. Let p be r(2). Solve p = q + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2328*k**4 + k**3 + 2892?\nAnswer: 9312*k**3 + 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -86, -1, -0.2, 13\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 17*r**2 - 60*r + 89. Let b be p(20). Calculate the highest common divisor of b and 6319.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/60 and 59\/402.\nAnswer: 4020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9*5\/(-30))\/((-9)\/12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/36 + (-9)\/162?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*f - 398 - 322. Let t = f + 41. Let s = 0 - t. Solve 4*u + s = -3*q, 5*q + 4*u = -27 - 2 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j + 3. Let i be d(-2). Suppose -4*x + 12 = 5*y, -3*x + 4*x + y = 3. Which is smaller: x or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*d**2 + 13*d**2 + 31*d**2 + 0*d**2 as m*d + k + u*d**2 and give u.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*t - 728 = -32*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6814, -6621, -6430, -6241, -6054?\nAnswer: -5869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (4*6\/(-84))\/(20\/(-28))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1135701 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 446 + 3b?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z**2 + 6*z**2 + 27*z**3.\nAnswer: 27*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 1:39 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4119*d**3*j**2*x**3 + 10*d**3*j*x**3 + 3*d**3*j + 46*d**3*x + d*j**2*x**3 wrt j.\nAnswer: 8238*d**3*x**3 + 2*d*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -647 - -648. Which is the third smallest value? (a) 10 (b) u (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 814.44102 rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6050 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -53*c**3 - 114*c**2 - 441*c - 18. Calculate z(-4).\nAnswer: 3314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 261 (base 8) to base 10.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*z**3 - 22*z**3 + z - 19*z**3 + 51*z**3 - 2*z.\nAnswer: -23*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6*(4 + -3)\/2. Let b be (g\/6)\/(1\/(-6)). Let v be (-1 + (-3)\/(-9))*3. Put b, 2, v in increasing order.\nAnswer: v, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 3*v**2 - 4*v + 6. Let d be k(-4). Solve u - 5*m - 15 = d*u, -u - 11 = -3*m for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 18)*(-19)\/3. Let l be ((-64)\/k)\/((-52)\/(-54)). Let y = l - -14\/19. Sort 0, y, -2 in descending order.\nAnswer: y, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-120)*-10*(1 - -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f**3 + 5*f**2 - 9*f**2 + f**3 - 5*f**2 to the form x*f**3 + r*f**2 + d*f + p and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 755718787.\nAnswer: 19, 59, 523, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3 + 118*g**2 + 117*g.\nAnswer: g*(g + 1)*(g + 117)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6425\/14 + 917\/2. Let m = 36 + -32. Sort -5\/6, l, m, 2\/13.\nAnswer: -5\/6, l, 2\/13, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 107 - 107.4. What is the closest to 0.2 in 0.003, 0, x?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f*g**2*s + 23*f*g**2 + 2*f*g*s + 7*f*g - g**2*s + 1117*g**2 + 2*g*s + 1 wrt f.\nAnswer: g**2*s + 23*g**2 + 2*g*s + 7*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + v = -2*z + 3, 4*z = -3*v + 16. Let k be 70\/(-20) - 1\/2. Let l be k\/6 - (-28)\/6. Which is the second biggest value? (a) z (b) -3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 7:11 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 3*h + 162, 9*z - 7*z - 3*h = 112. What is the remainder when 107 is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 11:56 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/8 + 78\/(-8). Let z = 16 + f. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4621294 times -7?\nAnswer: 32349058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1.03*-1544\nAnswer: 1590.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1364*f - 11036 - 23764 = -164*f for f.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (((-24)\/(-28))\/3)\/((-22)\/(-14))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -52565264.\nAnswer: 52565264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 493?\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2934)\/(-81) + (-2)\/9. Suppose -c = 5*q - 8*q. What is the lowest common multiple of -4 + 2 + -2 + -10 + 72 and q?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4*b - 600. Let z(w) = w + 201. What is 2*u(p) + 7*z(p)?\nAnswer: -p + 207","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -690 + 235 + s**4 - s**2 - 2142 + s**4 in the form o*s**4 + r*s + n*s**3 + c*s**2 + b and give b.\nAnswer: -2597","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-3\/22))**(-1\/2)*(w**(-3))**(-24\/11) assuming w is positive.\nAnswer: w**(263\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 207 - 412143638551\nAnswer: -412143638344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**2\/6 + 241*i\/6 + 1651\/3 = 0 for i.\nAnswer: -13, 254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/(-4)*(-80)\/180.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10178414 divided by -5089207\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 3*c - 456 - 4106, 3*f - 2*c - 6843 = 0. Does 8 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125 - 50 = -25*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -3. Let o be -12 - 9\/(-27)*39. Let w be ((-102)\/27 - -2) + 2. What is the closest to o in b, w, -2\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvlvlvvvll. What is prob of sequence vv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 2. Suppose 2*y + 1 + 2 = -5*q, 5*y + 4*q - 1 = 0. Let h be (y - (-21)\/(-30))*(6 - 1). Which is the closest to -0.2? (a) -4 (b) v (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25814983?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*n = -64, -2*z + 5*n + 12 = 60. Let f(v) = -v**3 - 14*v**2 + 1. Let x be f(z). Solve x = -0*k - k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**1*l)**(-13)*(l*l*l\/(l\/(l**(1\/3)\/l*l)))\/l**5)\/((l*l*l\/l**0*l*l)**(-7\/10))**(-2\/3) assuming l is positive.\nAnswer: l**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 7 = -h. Let c be 3 - (-1 + (2 - 3)). Suppose c*w = -20, -2*w - 3 = -3*x + 14. Solve 0 = -x*u + u + h for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k + 22 + 8 = -2*l, -5*l - 2*k = -71 + 50 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 0*a + 0*a - 5 - 6 - 5*a. Let k(p) = -p - 2. Let l(q) = -11*k(q) + 2*m(q). Let u(f) = -3*f. What is u(l(h))?\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12048 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*9\/(54\/12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 8:06 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17208 is divided by 12702?\nAnswer: 4506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5 = -13. Let w(m) = 7*m**3 + 2*m**2 - 1. Let s be w(1). What is the highest common factor of b and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6873 - 162\/(-9))\/(-1)?\nAnswer: 3, 5, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4544826 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -7. Suppose 0*w = a*w. Does 19 divide w - (0 - (22 + -2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 1:45 AM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -78 + -88 + 31 + 21\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 15 = 0, 78 = 2*d + 2*v + 128 - 124 for d.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 13710979 divided by 9\nAnswer: 13710979\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 77267.82 litres?\nAnswer: 77267820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/6*(-10 + (5 - 7)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17377815 is divided by 208?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9085766\/5 or 1817152?\nAnswer: 9085766\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 4*z. Suppose 28*n = 11*n - 85. Give k(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - v + 2*v)*((8 + 9 - 5)*(-v**3 - 3*v**3 + 3*v**3) - 2*v**3 + 3*v**3 + v**2 + 0*v**3).\nAnswer: 11*v**4 - v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 10:50 AM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + o + 9 = 4*l, -2*l - o - 13 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w*w**(-11\/5)))*w*w**10*w*w**(5\/3)*w**(1\/5))**(3\/5) assuming w is positive.\nAnswer: w**(38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5853.000004155 - 5853. Round u to 7 decimal places.\nAnswer: 0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 29\/(-6) + (-263)\/1578. Let u = 178\/9 + -20. Let n be ((-1)\/(6\/4))\/(-2). Which is the nearest to 2\/3? (a) n (b) m (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22105558 is divided by 5671.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 604.625 weeks to hours.\nAnswer: 101577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of j**2\/2 - 4*j + 2. Let i be a(4). Solve i = -3*l + l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -749411*y**2 - 1038336?\nAnswer: -1498822*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**3 + 4*n**3 - 4*n**3 + 2 + 2*n**3 - 2 + 2*n**3 + 0*n**3 + 0*n**3 + (-n**2 + 2*n**2 + 27*n**2)*(0*n - 4*n + 2*n).\nAnswer: -54*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 516042*v**3 - v + v - 258018*v**3 - 258022*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + -2. Which is the fourth biggest value? (a) -0.3 (b) 2\/15 (c) 0.4 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**3 - 1988*s**2. Let l(q) = -2*q**3 + 1991*q**2. Determine -5*l(b) - 4*r(b).\nAnswer: 2*b**3 - 2003*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 10 = -4*w + 3*o, -3*w - o - 1 = 0. Let j be 36\/(-3) + 4 + w. Let l(r) = 16*r**2 + 13*r + 1. Let k be l(j). Round k to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of -30*6\/(-36) - -1755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/30)\/((-4)\/(-3*4)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10 - 11) + 1*5. Let b = u - -4. What is the third derivative of b*o**3 - 8*o**2 + 10*o**2 + 8*o**2 wrt o?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 948570666 to the nearest integer?\nAnswer: 983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 10 = 5*v, 13*s - 9*s = -3*v + 6. Suppose -37 = -5*h - 7. Suppose -2*f + c = -0*c - 6, -h = 3*c. Solve s*z + 2*z = f for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**17\/((a*a\/(a**(-3\/4)\/a))\/a)*a\/(a\/a**(-29\/5))*a**(-23\/3) assuming a is positive.\nAnswer: a**(47\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -444.1 + 448.1. What is the fourth biggest value in w, 168, -2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 20 = -4*s, 5*d - 15 = -0*d + 3*s for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -l + 24. Suppose -3*o + 8 = -l*o. What is the remainder when 41 is divided by ((-60)\/8 - -2)*o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 0. Let j be (16\/(-32))\/((-2)\/4). Let h be (j - 245001)\/(l\/20). What is h rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79533196 is divided by 125?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/4*(-18)\/108.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17248.12663 to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 165*y**2 - 305*y**2 + 144*y**2. Let z(p) = -3*p + 10. Determine z(n(a)).\nAnswer: -12*a**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5962739 - -1630625.\nAnswer: -4332114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in -3, 64, 2, -25\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) -4 (c) 0 (d) -0.23 (e) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 2*p + 96 = 0. Let h(n) = n**2 + 9*n + 31. Let w be h(p). Let q = -58 + w. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -4) + -6 + -3 - (-3 + -5 - -10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 4 - -3 - (2 - -11)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.7 + -3. Let n = o + -0.2. Let d = n + -0.4999996. Round d to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-6))\/(-10 - 93\/(-9)). Which is the closest to -1? (a) n (b) 3 (c) 82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-8)\/(-315))\/((-2)\/(-95)) and (-51)\/(-102)*(-1)\/21*7140\/(-72).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/18 - 10\/(-45). Suppose j*x = 5*x - 110. What is the highest common divisor of 22 and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - o - 3. Let p(s) = 3*s**3 - s**2 + 3*s. Let w be p(4). Suppose -56 = 4*q - w. Calculate the remainder when q is divided by z(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 69 - 72. Put x, 5, -9 in ascending order.\nAnswer: -9, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10133908 is divided by 10133826.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20397 = 3*r - 2*r. Let y = r - 52785. Let d = 20388 + y. Round d to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -77 + 81. Which is the smallest value? (a) l (b) -0.1 (c) 0.61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - m = -5, 2*m = m for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6232947209664 and 1?\nAnswer: 6232947209663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-40) + ((-46)\/8 - -6)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2.2 + -1.95\nAnswer: 0.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9035, 9043, 9053, 9065?\nAnswer: 9079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 divided by 1248715?\nAnswer: 376\/1248715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*a**5 + 2*a**5 + 4*a**5 + (-1 + 1 - 2*a**4)*(1478*a - 2227*a + 1477*a).\nAnswer: -1459*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 171\/(-6) + (-714)\/(-34)?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o + 1. Let b(l) = 3*l**2 + 329*l + 1. What is b(u(g))?\nAnswer: 12*g**2 - 670*g + 333","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 995385303 to the nearest integer?\nAnswer: 31550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - j - 71 + 20, -41 = -4*y + j. Suppose -3*c + 15 = 2*c. Solve 0 = b + c*s - y, 0 = -2*s - 0*s + 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1271)\/(-93) - 1\/(-3). Suppose -2 = -15*k + c*k. Solve 5*z - 7 = -k for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: -0.54 times 127\nAnswer: -68.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -821 + 103428?\nAnswer: 102707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -f**6\/120 + f**5\/10 - f**4\/6 + f**3\/6 + f**2. Is q(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 80*s**4*w**2 - s**3*w**2 + 4*s*w**2 + 151*w**2 wrt s.\nAnswer: 960*s**2*w**2 - 6*s*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + (-3)\/((-3)\/(-2)). Suppose 0 = -s - 2*u - 1, -5*s + 0*u + 4*u - 19 = 0. Let y be (-30)\/35*1\/s. Which is the nearest to 0? (a) -1\/14 (b) y (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2640868572.\nAnswer: 2, 3, 71, 593, 5227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.9*-0.1629.\nAnswer: -1.12401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.542141 + 62.581541. Let x = -0.0606 - t. What is x rounded to 0 dps?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**3 - 18*x**2 + 4*x - 15. Let d be w(6). Let q(m) = 45*m + 96. What are the prime factors of q(d)?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(51)*1 - sqrt(51))\/sqrt(3) + 3*(sqrt(17)*-2 + sqrt(17))) + -5.\nAnswer: -9*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.7035 - 3.7. Round n to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 269608?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a - 5. Let j(d) = d - 2. Let q(n) = -3*c(n) + 8*j(n). What are the prime factors of q(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -3. Suppose -171 = -x*y + 85. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*4*sqrt(77))\/sqrt(7).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5047 is divided by 106?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 34537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 10:17 AM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 420350109?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - d = -237, 16*q + 3*d = 19*q - 747. What is the greatest common divisor of q and 369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 63\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7393.7 - -7394. Let y = 1 + -1. Put -4, m, y, -7 in decreasing order.\nAnswer: m, y, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 391 is divided by 134.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4*p - 28 + 6 = 0, 0 = -5*v - 3*p + 22. Let x(b) = -70*b + 62. Let r(l) = 2*l. Let i(a) = v*r(a) - x(a). What is the derivative of i(h) wrt h?\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 9. Suppose k = -7*c - 14 + 63. What is the remainder when -1 - 2\/2*-13 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {v: 7, d: 7}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aauaumcaaaaaac. Give prob of picking 2 u.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 624*z - 5655 + 3686 = 6767 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/133030334 and 61\/24?\nAnswer: 1596364008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -153*d - 1105. Calculate t(-7).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1804*k**2 + 1799*k**2 + 0*k**4 + 8 - k**4 + 2*k**3 to the form u*k**3 + y*k + m*k**2 + d + h*k**4 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101110101 + -10110111111011110101?\nAnswer: -10111000011001101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 6 = -s - 6 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.1381835ns to days.\nAnswer: 0.00000000000018678453125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 946544097500 and -35.\nAnswer: 946544097465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2073015*f**2 - 11*f - 4. Let j be d(1). What is j rounded to the nearest one hundred thousand?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -10. Let x = -0.7 + 0.6. Which is the biggest value? (a) i (b) x (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -56422*a**2*m**2 + 15016*a**2*m + 2*a**2 + 2*a*m**2 + 2*a*m + 4*m**2 - 4*m wrt m?\nAnswer: -112844*a**2 + 4*a + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -1519*v + 39 = -1556*v + 150. Let 2\/7*t**v - 12\/7*t + 10\/7*t**2 + 0 = 0. What is t?\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 11. Suppose s = x - 1. Suppose 4*i = 3*i - 3, -s*i + 216 = 3*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**2 - 15*h + 36. Let i be v(3). Let g(c) = c**2 + 28*c + 165. Does 7 divide g(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 37*u**2 - 108*u - 270. What is n(-2)?\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110502218, -221004426, -331506634, -442008842, -552511050, -663013258?\nAnswer: -773515466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 5 - 96 - (110 + -43 - 92)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 5:39 PM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/((t**1\/t)\/t))\/t**1*((t\/(t*t**(11\/4)))\/t)**(-8))**(-24\/7) assuming t is positive.\nAnswer: t**(-768\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -85 - 143. Let b = -7 + n. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 849*g + 0 - 3*g**3 - 6579*g**2 + 6581*g**2 to r*g + p*g**3 + m + n*g**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2401938 to the nearest integer?\nAnswer: 1550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a**2 - 27828*a + 9074408 = 0. What is a?\nAnswer: 343, 6614","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 1638*g + 997607. Give l(-609).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1766 = k + 3*o, -k = o - 1555 - 203. Calculate the remainder when k is divided by 127.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 8*w**3 + 7*w**2 + 6*w - 6. Let k(a) = a**3 - 1127*a**2 - 7 + 7*a + 1135*a**2 + 12*a**3 - 5*a**3. Calculate -7*j(f) + 6*k(f).\nAnswer: -8*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**4 + 2*z**4 - 4*z**4)*(-200*z - 5362 - 5366 + 10726).\nAnswer: -400*z**5 - 4*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1972\/(-522)*-9*(-7 + 8)*1.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 4*h. Let b be t(-6). Let i be (-9)\/3 + -1 + b. List the prime factors of (i\/6)\/((-4)\/(-30)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3800 and 7600?\nAnswer: 7600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 296.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*z - 232*z - 762 + 8880 = 0. What is the remainder when 852 is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 73 + -25. Suppose -12 + k = -6*y. Let c be 9\/4 + 2\/(-8). Put -2, c, y in descending order.\nAnswer: c, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 16005, 62110, 138311, 244608?\n\"Answer: 15048*w**2 + 961*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*w**3 - 73*w**3 - 69*w**3.\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7732967504 a multiple of 501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15071 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -15. Let n be t + 15\/(-5) + 27. Suppose 0 = 4*f - 5*f + n. What is the remainder when 83 is divided by f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + h)*(-4 + 4 - 2*h) - 19*h + 19*h - 11*h**2.\nAnswer: -13*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -13. Let l(k) = 7*k + 10 + 7*k - k**x - 7*k. Calculate the remainder when l(8) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = -20*s - 3*f, -3*s - 3890 + 3923 = 3*f for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 178*z + 532. Determine g(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence titi when four letters picked without replacement from {t: 2, o: 6, i: 4, c: 3, w: 1}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 101 - 305 = 0. Suppose -5*f - 4*t + 290 = 0, 0 = -5*f + 5*t + g + 177. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 h when three letters picked without replacement from hvhvvhhhvhvhvhvvvvh?\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16786*c + 634454 = -935865 + 62763 - 103900 for c.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 318 divided by 2\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20687 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 140 + -140. Suppose -5*n - 2*x + 175 = -25, -2*n - 5*x + 101 = a. What is the remainder when n is divided by (-4)\/5*(-1 - 24)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 202\/101*1*(-8)\/220*5.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13.72 (b) -3 (c) 0 (d) -2.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4125 divided by -11?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18997 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 10, o + 4*d + 673 = 2*o. Suppose g - 2096 = -g. Suppose -4*y + g = 3*u, -4*u + o = 5*y - 616. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4*l**3 - l**2. Let q be n(-1). Let t(g) = -4*g**2 - 5*g**3 + 2*g**3 - 5 + q + 6*g**2. Let i(u) = 7*u**3 - 5*u**2 + 4. Give 2*i(z) + 5*t(z).\nAnswer: -z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 607159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -193, -192, -191, -190, -189, -188?\n\"Answer: x - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 10. Let s = l + 0. What is the least common multiple of s and (-2)\/(-7) - (-138)\/7?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1797500 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 4*w**2\/3 - 25306856*w\/3 + 40027310037796\/3 = 0.\nAnswer: 3163357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4216*x + 98.\nAnswer: -4216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (198\/(-12))\/(4 - (-7)\/(-2)). Let m = l - -23. Let y = 31.8 - 32. Which is the third smallest value? (a) m (b) 0.2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**12)\/(x*x*x*x**(2\/21)\/x*x*x*x)*((x\/(x\/x**18))\/x*x)\/x**(-4) assuming x is positive.\nAnswer: x**(628\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-38)\/(-57))\/(18\/260199)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of x**4\/24 - 7*x**3\/6 + 7*x**2 + 28*x. Let k(a) be the first derivative of n(a). What is k(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -468, 232.2?\nAnswer: 232.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -1 - 13*a**2 + a + 14*a**2 - a. Let z be 5 + (0 + 0 - 1). Suppose z*y + 0*y - 4 = 0. Calculate n(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 7*b + 9. Let y be r(6). Let h be -2 + (-8)\/(-2)*1. Suppose 0 = h*z - 0*z. Solve f = -n - f - 8, z = -y*n - 3*f - 18 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-2))\/(8\/((-928)\/1885))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwlddwrwwlqgqdrr. What is prob of sequence rr?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -80813, -161661, -242507, -323351, -404193?\n\"Answer: s**2 - 80851*s + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 10, -2*j = -s - j + 8. Solve -4*t = o + 21, -6 = -t + s*o - o for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/13)*d*d*d*d**5*d)**(-13) assuming d is positive.\nAnswer: d**(-119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92628 and 124?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ufu when three letters picked without replacement from uuuuuuuuufuuuuu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccvckkv. Give prob of picking 2 v.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 655 and 214150.\nAnswer: 28053650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - (1 + -5))*1. Let s(o) = -3*o + 6*o - 1 - 7. Is s(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1034, 1506, 1976, 2444, 2910, 3374, 3836?\nAnswer: 4296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63 by 54.\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -6. Suppose -3*s - 1 = -4*d + r, -4*s - 2 = 2*d. Suppose 10*k + 8*k = -6*k + 24. Sort k, -3, 0, s in decreasing order.\nAnswer: k, 0, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 433.94 rounded to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s**2 + 133*s + 9. Suppose -24*j - 20 - 52 = 0. Let k(q) = -2*q**2 + 66*q + 3. Let f(m) = j*i(m) + 5*k(m). Differentiate f(c) wrt c.\nAnswer: 4*c - 69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(64))\/((sqrt(96)*2)\/sqrt(12))*4)**2 - (((2*2*sqrt(8) - sqrt(8)) + sqrt(8))\/sqrt(4) + -4*(0 + sqrt(2) + -4)).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**3 - 2*d**2 + 2*d. Let i be q(-2). Solve a - 2*c = i - 0, -4*c = -4*a + 8 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9752819 and 104.93.\nAnswer: 9752923.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/16*-1)\/(156\/((-28)\/(-7))).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 1325, -5, 27 in increasing order.\nAnswer: -5, -1, 2, 27, 1325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 7*s + 27. Let p(c) = -3*c - 13. Let o(z) = 4*b(z) + 9*p(z). Let h be o(11). Is 8 a factor of ((-1 - h) + -16)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 - 5)*(-2*q**4 + q - q + (-q**3 - q**3 + 0*q**3)*(-q - 1 + 1) + q**3 - q**3 + q**4 + 8 - 8 - q**3 - 3*q**4).\nAnswer: -4*q**4 - 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -449 divided by 5.\nAnswer: -449\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1463.509 litres?\nAnswer: 1463509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = m + 4*d, 2*m + 7*d - 9*d = 14. Let b(q) = -5 + m + 7119*q + 7*q**2 + q**3 - 7118*q. Calculate b(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 + 9 = -4*i. Let x be (i\/12 - -3)*1. Factor -1 + h + x*h**2 + 1\/4*h**4 - h**3.\nAnswer: (h - 2)**2*(h - 1)*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.389401ns in microseconds?\nAnswer: 0.008389401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*k + 10 = 0. Suppose -6*o + k*o - h + 13 = 0, -3*o + 3*h + 21 = 0. Let t = -2 + o. Are 2 and t equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 5*d + 3. Let n be f(7). Suppose -x - n = -g, g + 3*x = -3*g + 187. Suppose -g = -m + k, -m - 4*k + 0*k = -58. List the prime factors of m.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 2 = 5*m, 0 = -133*s + 136*s + 4*m - 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -9\/14*y**2 - 3\/28*y**4 + 2 - 5\/7*y**3 + 27\/7*y. Suppose w(r) = 0. What is r?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/230 and -31\/30.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -750*a**3 + 4*a + 373*a**3 + 375*a**3.\nAnswer: -2*a**3 + 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2583 + (-7 - 3 - -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-10) - (2249\/(-65) - -14). Suppose -181 = -32*c - i. Solve -9*d - 8 = -c*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*m**2*z**3 - 79*m**2*z - 2*m**2 + 4694*m*z**4 + 19*m wrt z?\nAnswer: -24*m**2*z + 56328*m*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 8*w**2 - 6*w + 32. Let u be c(6). Suppose 0 = 2*o - 2*n + 2 - 42, -u = -4*o - 2*n. Solve a + o = 3*q, -7 - 16 = a - 4*q for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w - 9. Let l be d(19). Let r(h) = -h**2 - 7*h - 4. Let x be r(-6). Find the second derivative of l*c - 2*c**x - 11*c + 6*c**2 wrt c.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -9 + -1*(-288)\/78\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4}. What is prob of picking 4 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of f**9\/72 - f**5\/10 - 8*f**2. Find the third derivative of j(w) wrt w.\nAnswer: 840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -216 - -216. Suppose q = -3*c + 5, 0*c = -c + 4*q + 19. Solve y = c*s + k + 20, 2*s + s - 3*k = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, e: 15}. What is prob of picking 3 s and 1 e?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -99 + 55. Let b = i + 62. Calculate the greatest common factor of b and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**2 - 8*z + 120. Determine x(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 4:23 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 11*b = 40, -3*k + 1 + 15 = b for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 - -2567. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001547912 rounded to 4 decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65 - 65. Let o(t) = -4*t - 15. Let i(r) = 3*r + 14. Let x(b) = -5*i(b) - 4*o(b). Calculate x(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - 42676.\nAnswer: -42676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -30013553 <= -30013565?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*(s\/((s\/s**(-1)*s*s)\/s)*s)\/s))\/s**(3\/8)*(s\/(s**(-2\/7)\/s))**(7\/5) assuming s is positive.\nAnswer: s**(193\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 92 = -2*d + 230, 0 = -4*t - 4*d - 304. Suppose 5*j - 621 = -3*g, 2*j = -j + 4*g + 361. Let s = t + j. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -217474.65, -0.3 in descending order.\nAnswer: -0.3, -3, -217474.65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*(45\/6)\/15?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 0*z + 7*z)*(-4*z**2 + 1 - 1) + 10*z**3 - 3*z**3 + z**3.\nAnswer: -16*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -5*w**4\/12 - w**3\/6 + w**2. Suppose 0 = -5*c + 1 - 11. Is u(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v + 8. Let g be o(4). Let k be (2 + -5 - g)*-41. Suppose 0 = -5*h - 2*f + k, h - f - 29 = -3. Solve -12 = 4*y, -3*y + 8*y = -5*x - h for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 5 - 3 - 3 + 5 + (-1 + 0 + 3)*(-3 + 7 - 3) + 0 + 1 - 2 - 2 + 4 - 1)*(4*j - 4*j - 4*j**3).\nAnswer: -16*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*s = -s + 4, -2*h = 2*s + 2. Suppose -2*n - n = -m + 119, n - 5*m + 21 = h. Let d = n - -171. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*c**2*y + 138*c**2 - 42*c*y - c - 7004*y - 24 wrt c?\nAnswer: 6*c*y + 276*c - 42*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/163, 150\/11, -1\/4, 3 in decreasing order.\nAnswer: 150\/11, 3, 1\/163, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 15*u + 9. Suppose 35*f - 52 = 31*f. Let i(c) be the first derivative of -7*c**2\/2 - 4*c + 1. Give f*i(o) + 6*w(o).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -992 divided by -1?\nAnswer: 992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1001 (base 3) to base 2\nAnswer: -11100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (916\/438)\/((-20)\/(-225)). Let o = j - 2\/73. Let x = -637\/108 + 4\/27. What is the common denominator of o and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 7*t + 10. Let c be a(-8). Let g be c\/(-1) + (8 - 4). Sort 3, -5, g in increasing order.\nAnswer: -5, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 + (-2 + -2 - -4) + 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 9*m - 7. What is d(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000577 to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c**(1\/4)\/c))*c*c**(2\/9)*c)\/(c**(-2\/3)\/c*c\/(c\/(c*c\/((c*c**(-4))\/c*c*c)))*c))\/((c**0*c)**(-25\/4)*c*c**6*c*c**(-2\/5)) assuming c is positive.\nAnswer: c**(-289\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3670 - -88?\nAnswer: -3593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 8844*b + 857871. Calculate t(-97).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.929962mg in grams?\nAnswer: 0.007929962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 4*b**2 - 5*b + 6. Suppose -6*r = -350 + 320. Calculate v(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67965191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h + 4. Let j(i) = i - 13. Let s be j(15). Is q(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmke when four letters picked without replacement from mcmemssmkeemekesmec.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15315 + -183647\/12. Calculate the common denominator of d and (1\/16)\/((-3)\/(-172)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 3*a**5\/5 + 42*a**4 - 13347*a**3\/5 - 351162*a**2\/5 + 1167696*a\/5 = 0.\nAnswer: -102, -24, 0, 3, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1273814878 divided by 2.\nAnswer: 636907439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(140\/10)*1*-2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6453 is divided by 6447?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.02783 tonnes in kilograms?\nAnswer: 15027.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 3.5. Let t = 13.2 + -14. Let u = t - f. Which is bigger: u or -2\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549702 divided by 274851?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9302.343 kilograms in milligrams?\nAnswer: 9302343000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 68*u - 1150. Let h be c(32). Calculate the highest common factor of 1838 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 4:00 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbbbbgbbbdbbdibibgi. Give prob of sequence ig.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*r**2 + 4 - 4)*(391 - 2829 - 954 - 239 - 1124) to the form d*r + a*r**2 + b and give a.\nAnswer: -28530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 321799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q - 14. Let t = -169 - -175. Let g(s) be the third derivative of s**4\/24 - 5*s**3\/6 + 4*s**2. Determine t*n(b) - 17*g(b).\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = 43*v + 8 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(68) + (sqrt(68) - 3*sqrt(68)))*-2 + sqrt(68))\/(sqrt(4) + 1*sqrt(144)) + -1.\nAnswer: -6*sqrt(17)\/7 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2)*4\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 45\/4 of a hour?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52 - -182. Calculate the remainder when 453 is divided by s.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a week in hours?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -45*s**2 + 715*s - 4812. What is z(7)?\nAnswer: -2012","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 7, -8, -23, -38?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/93, -15.7.\nAnswer: -15.7, 2\/93, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100000000101011011010 (base 2) to base 12.\nAnswer: -42850a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gpooppsnnnnnnnp. Give prob of picking 1 g, 1 o, and 1 p.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3650 and 0.16.\nAnswer: -584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3928 = 100*g - 2628 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.93821um in centimeters?\nAnswer: 0.000693821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -4. Let m be (q - (1 + -2)) + -1. Let o = 9 - 4. Which is the second biggest value? (a) o (b) 0.3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**5 - 5*w**5 + 0*w**5)*(-28 + 63 + 60) + 0*w**5 + 4*w**5 - 3*w**5.\nAnswer: -189*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3154 or -3\/5?\nAnswer: -3154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -294 + -4?\nAnswer: -298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 281816 and 1408.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p**2 - 2. Let j = 120 - 120. Suppose j = 2*v - 2*t + 6, -2*t + 4 = v - 4*v. Let u(a) = 742 - 742 + v*a**2. Determine u(f(h)).\nAnswer: 18*h**4 - 24*h**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -260307, -520588, -780843, -1041072, -1301275?\n\"Answer: 13*k**2 - 260320*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -474831 + 5.\nAnswer: -474826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 106 = k - 2*k, b = -3*k + 318. Let z = k + 0. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7916 is divided by 120.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 11*b + 10. Let i(d) = -d - 2. Let k = 9 + -1. Let z be i(k). Let n be x(z). Is n less than or equal to -4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -95603*j**2*k**4 + j**2*k**2 + j**2*k + 158*j*k**4 - 395*j*k**2 - 3*k**2 + k - 1813 wrt k?\nAnswer: -2294472*j**2*k + 3792*j*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 672 and 1504?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9436096 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 93.3858 to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/627 and 31\/18843?\nAnswer: 358017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of t**6\/120 + t**5\/60 - 5*t**4\/24 - 20*t**2. Let q be o(2). Solve 0*k = -q*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of 7547*d**5\/60 - 6473*d**4\/24 - 16*d**2 + 227*d + 2. Find the second derivative of a(v) wrt v.\nAnswer: 15094","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 1. Let n(z) = -z**2 + z + 1. Let k(a) be the first derivative of 8*a**3\/3 - 5*a**2\/2 - 7*a - 141. Let q(f) = k(f) + 5*n(f). Calculate -2*j(m) - q(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*j = 17 - 91, 0 = -3*h + j - 43. Which is the closest to -3? (a) h (b) -0.5 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (107 - 86)\/(7 - 0). Solve -2*n - x + 1 = -5*n, -5 = -5*n + v*x for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, s: 2, u: 6, l: 2, g: 3}. Give prob of picking 1 l and 1 i.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -47060040 divided by -54092?\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55157.\nAnswer: 19, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -17*f**2 + 36*f - 3. Let x be v(2). Let u(r) = r**3 - 9*r**2 - 10*r + 4. Let n be u(10). Let k = 2 + 1. Sort -5, k, n, x in decreasing order.\nAnswer: n, k, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5318, 10639, 15960, 21281, 26602, 31923?\n\"Answer: 5321*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -14.4. Let n = l + -0.62. Which is smaller: n or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29171 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 440 * 0.183.\nAnswer: 80.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h + 2*h**2 - 2*h + 8 - 10. Let r be o(2). Solve -2*y - 2 = 5*m, -3*y - 4*m = -r*y - 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 302589720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 12. Calculate the smallest common multiple of 7 and o.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 290898*0.5.\nAnswer: 145449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 724584.2 weeks in nanoseconds?\nAnswer: 438228524160000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6201103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 0. Suppose -7*d = 5*h - 3*d - 39, k = 4*h - 5*d - 64. Calculate the remainder when h is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -2, -17 in descending order.\nAnswer: 3, -1, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49731*i + 13520 = 48691*i for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.051 - 2.249. Let f = -1.7 + r. Which is the nearest to 0? (a) -2 (b) 0 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23e (base 15) in base 12?\nAnswer: -365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -11. Let d(b) = -1 + 0 + p*b - 4*b. Let a be d(3). Solve -4*k - a*o - 16 = 0, 0 = 3*k - o + 10 - 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 54, 95, 142, 189, 230?\nAnswer: 259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(312)\/sqrt(6) + 3 + -1)**2 - (sqrt(52)*2*-1 - sqrt(364)\/(sqrt(7) + (sqrt(28) + sqrt(7) - sqrt(7)))).\nAnswer: 38*sqrt(13)\/3 + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1481999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 7920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 116, 116, 34, -172, -544, -1124?\n\"Answer: -7*c**3 + c**2 + 46*c + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 0*o - 3930. Let y = o - 445. Let p = 132 + -101. What is the highest common factor of p and y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 860.\nAnswer: -3\/860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30 - 37) + (-2 - 8) - -10?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/12 + 7\/(-42). Suppose 0*x - 5*x + 10 = i. Find the third derivative of 4*l**2 - 4*l**2 - 3*l**x - 3*l**3 wrt l.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 67*z**2 - 2*z - 1. Let p be k(-1). Let o be (0 + 0 + 0)\/1. Suppose -t + 1 = -1, 3*y - 2*t - p = o. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 463.0695 months?\nAnswer: 38.589125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r - 9. Let v be d(-5). Let y be 9\/5 - v\/20. Which is bigger: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -18 - 30 - 34 - 35 + 102 - o. What is s(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 144*o - 159*o + 755, -2*g + 351 = -o. Calculate the smallest common multiple of g and 334.\nAnswer: 28724","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30044)\/(-667) + -37 + -8?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 85? (a) -4 (b) 2\/11 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 145180 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - x + 82 = -68, 0 = 5*x. Suppose -6*b - w = 102. Let a = 66 + b. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210061801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lpldcplpld. Give prob of picking 1 l and 1 d.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49304 and 1200?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 67881431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4972\/1725 - 124\/575. Let c(m) be the first derivative of -40 + 1\/3*m**2 - u*m + 1\/9*m**3. Find d, given that c(d) = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -222234?\nAnswer: 222230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1666202, -1666227, -1666258, -1666295, -1666338, -1666387?\n\"Answer: -3*n**2 - 16*n - 1666183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -11*d - 59. Let l be w(-8). Let u be (2 - 0)*(-3 + l\/10). What is the nearest to -1 in 0, 0.5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3027\/11 + -275. Sort 1\/4, 2\/5, y in descending order.\nAnswer: 2\/5, 1\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2. Let p(i) = -10*i**2 + 12. Determine -12*f(q) - p(q).\nAnswer: -2*q**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -63, 62, 3, 0.5?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of 5*g**3\/6 - g**2. Let z(a) = a**2 - 6. Let j(d) = 6*f(d) + 5*z(d). Let v(o) = -2*o. What is j(v(k))?\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k\/(k\/k**(6\/19)))*k*k**(-3\/8)*k*k**(3\/2)*k*k*k*k**(13\/6) assuming k is positive.\nAnswer: k**(4093\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -5\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3.2, -6\/11, 2, -0.07, -2\/11?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -5\/2*o**4 + 1\/30*o**5 + 0*o + 0 + 0*o**3 - 179*o**2 + 7\/24*o**6. What is the second derivative of r(w) wrt w?\nAnswer: 210*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**4 + 36*k**3 - 216*k**2 + 432*k = 0 for k.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199443 + 297 = 3*k. Round k to the nearest 1000.\nAnswer: 67000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s - 3*s + 32. Let q be 132*2\/(s\/(-3)). Suppose 5*m - m - 5*y = 29, 0 = m + y - 14. Calculate the highest common divisor of m and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-212)\/63)\/(-4) + -1. Let i = 4\/63 - l. Is -1 at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-7)*((-2925)\/(-130) + 16).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74754 to the power of 1\/2, to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 11*u**4\/4 + 20*u**3\/3 - 72*u - 143. What is the derivative of s(b) wrt b?\nAnswer: 33*b**2 + 40*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**4 + 2*n**4 + 2*n**4 + (n**4 + 3*n**2 - 5*n**2 + 3*n**2)*(0 + 2 - 4 + (-7 - 3 + 2)*(2 - 3 - 3)).\nAnswer: 32*n**4 + 30*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*m + 2*m + m)*(0*m**2 - 3*m**2 + m**2)*(41 - 41 + 13*m) in the form b*m + l*m**3 + h + i*m**2 + c*m**4 and give c.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -9*m**3 - 21*m**2 - 19*m + 13. Let a(x) = -4*x**3 - 10*x**2 - 9*x + 6. Let u(v) = -7*a(v) + 3*l(v). Calculate u(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 526.539 + -526. Let c = 0.021 + u. What is c rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 26 + -18 + (-68)\/8. Which is the closest to 20? (a) q (b) -6 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 8*t**2 - 12*t + 3. Let u be x(6). Suppose 4*n - u = 2*f - 31, 5*f = -n + 15. Is 4 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.9*-0.013319\nAnswer: 0.0119871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34 + 10 + 3*w**2 + 41*w + 11 + 11 to the form p*w**2 + m*w + j and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -73.3, 5, 2\/15 in increasing order.\nAnswer: -73.3, 2\/15, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11053377, 22106754, 33160131, 44213508, 55266885?\n\"Answer: 11053377*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4359\/152 - -704\/19. Find the common denominator of -25\/2 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*q + 304 = -0*q, 68 = -a + 3*q. Let n = a + 62. Suppose 18 = x - 2*i, -x = -5*i - 15 - n. Solve 0*l + 3*l = 4*j + x, -2*j - 2*l - 2 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of 2*w**3\/3 + 3*w**2\/2 - w - 113893. Let k(f) be the first derivative of f**2\/2 - f + 1. Give 5*k(c) - o(c).\nAnswer: -2*c**2 + 2*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 13) in base 12?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sqk when three letters picked without replacement from {m: 1, c: 1, s: 3, k: 3, q: 2}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15288 + 17796 = -4762*j + 88224 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -183511 to the nearest ten thousand.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/(-39)*(-6)\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence znv when three letters picked without replacement from zvnefenveeevenq?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3 = -j, 2*n - 2*j + 18 = -6*j. Which is the nearest to -2\/7? (a) n (b) 15 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-one eighths of a tonne?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3*(5 + sqrt(425)*3 - (1*sqrt(102))\/sqrt(6)*6))**2.\nAnswer: 810*sqrt(17) + 12620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 6 (b) -10.3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 378046.2l in millilitres?\nAnswer: 378046200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 19389.3ng?\nAnswer: 0.0193893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 702 or 699?\nAnswer: 702","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 5, 13, 2\/7 in decreasing order.\nAnswer: 14, 13, 5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - -65 - ((-7 - 10) + 11 + 4 + 4)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + 31. Calculate the remainder when 119 is divided by k.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 80.1 (b) 1\/5 (c) 1 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of f**5\/60 - f**4\/12 + f**3\/2 - 19*f**2. Let d = 3 + 0. What is the remainder when x(3) is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.05 (b) 1 (c) 1\/3 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 1. Let s be (76\/(-95))\/((-1)\/5). Let y be (s\/12)\/(2\/(-6)). Let a(t) = 2*t**2 + 7. Let r(z) = y*a(z) + 3*d(z). Differentiate r(u) with respect to u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 24, -4.\nAnswer: -4, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 11*u - 2. Let t be n(-11). Let m(s) = 3*s**2 - 2*s - 2. Calculate the remainder when 53 is divided by m(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -11*j**3 - 52*j**2 - 13*j - 3. Let r(g) = -5*g**3 - 24*g**2 - 6*g - 2. Let d(o) = -6*h(o) + 13*r(o). Determine d(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 166 and 21.1.\nAnswer: 3502.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.4, 1, -0.8 in increasing order.\nAnswer: -0.8, 0.2, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of z**3\/2 + 3*z**2\/2 + 2*z. Let s = -31 - -25. Determine w(s).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*q + 4 = 0, 0 = -2*g + 4*g + 2*q - 4. Suppose g = 5*w - 4*w + 26. Let n = w + 37. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6202101s in minutes?\nAnswer: 0.010336835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 37 + 263 = 0. Suppose -2*r - 2*b = -452 + q, 2*r + 5*b - 358 = 0. Suppose 3*x - r = -3*v, -5*v = 5*x - v - 292. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c2b (base 14) to base 6.\nAnswer: 35435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, -2\/9, 439?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 4*k + 56 = 0. Suppose -k = -5*s + 11. Solve 0 = -2*f - 3*o + 9, 31 = -3*f + f + s*o for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eepwepwwee. Give prob of picking 2 w.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200 + 220?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*s**5 - 40*s**4 - 60*s**3 + 20*s**2 + 8*s = 0.\nAnswer: -1, -1\/4, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39617590.\nAnswer: 2, 5, 3961759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 171228 divided by 14269?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206 + 15*f**3 + 15*f**3 - 63*f**3 + 16*f**3 + 11*f**3.\nAnswer: -6*f**3 + 206","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*z**5 - 1248*z**3 - 27*z - 6.\nAnswer: 40*z**3 - 7488*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 + f**2 + f**3 + 0*f**3 - 2*f**3 + 3*f**3 + (-2*f + 2*f - 2*f)*(3*f**2 - 12*f**2 + 7*f**2) - 39*f + 46*f + 0*f**3 - f**3.\nAnswer: 5*f**3 + 7*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225915285.\nAnswer: 3, 5, 101, 149119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 127275 + -127274.8. Let o(n) = -n**2 - 5*n + 3. Let w be o(-5). Which is the closest to -2? (a) 2 (b) t (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*p - 4*p**2 - 9*p + 14*p**3 - 2*p to the form j*p**2 + u + h*p**3 + g*p and give h.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 108 + 18. Let j = -316 + l. Let f = -953\/5 - j. Which is the biggest value? (a) 2 (b) f (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a. Let v(z) = -432039220*z**2. Calculate v(m(l)).\nAnswer: -432039220*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127331582?\nAnswer: 2, 7, 9095113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -118\/3*u - 14\/3 + 17\/6*u**2.\nAnswer: (u - 14)*(17*u + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -284 and 0.048785.\nAnswer: -283.951215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5164 - 10022. What is the units digit of 28\/168 + d\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -131, -1, -6, 2 in descending order.\nAnswer: 2, -1, -6, -7, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 46?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1188 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 51879.0035?\nAnswer: 51879.0035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3145951.\nAnswer: 1049, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*d - 162 = 132*d for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*x**4 - 5846057*x**3 + x + 1985529 wrt x?\nAnswer: 24*x**2 - 35076342*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 8:34 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 1324*k + 2653. Give l(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(660)\/(sqrt(110)\/(1*sqrt(10))))\/(-2*sqrt(12)*3 + (sqrt(972) - sqrt(972)*2)).\nAnswer: -3 - sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -366, -3782, 1 in decreasing order.\nAnswer: 1, -366, -3782","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/1098, -2\/13, -0.4, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1307135 divided by -261427\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2398529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in nine tenths of a milligram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13 + -1?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 53274 and 129828738?\nAnswer: 129828738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4094*d**3 - 2363?\nAnswer: -12282*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24637*d**2 - 12479*d**2 - 12155*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -12 - -8 - 410\/(-18)*28. Let f = w + -285803\/450. What is the common denominator of f and 27\/5?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 26 = 3*r - 2*n, 3*n = -12. Let t be 52\/r + 2\/7. Suppose -36 - 52 = -t*w. Solve 4*f = -3*y - 8, -23 = 5*f - 5*y + w for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 0*o**3 - 4*o + 4*o**3 - 3*o**3 + 6 + 0*o**3 - 3*o**2. Does 12 divide p(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(170)\/sqrt(5))\/sqrt(2) + -5).\nAnswer: -6*sqrt(17) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -18854 (base 9) to base 8\nAnswer: -31442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 3*f. Let t = 6 + 1. Let o be 2 - (1 - t\/(-5)). Which is the nearest to -2\/5? (a) f (b) 1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101011010 - 10011110110111010?\nAnswer: -10100010100010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -115 (b) 10 (c) -1\/5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-8424)*13*-3\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of o**6\/120 - 7*o**5\/60 + 7*o**4\/24 - 2*o**3\/3 + 4*o**2. Let r(a) = -a**3 - 2*a**2 + 10*a + 14. Let w be r(-4). Determine x(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 19*q - 1. Determine g(4).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4\/29)*y*y)**27*((y*y*y**(-12\/11))\/y)**17 assuming y is positive.\nAnswer: y**(15545\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in eleven tenths of a millennium?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 260 and 12?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001381 to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 - 60238*c + 60237.\nAnswer: (c - 60237)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -62 - -87. Let f = c + -41. Let m be 8\/(-50)*(-8)\/f. Which is greater: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + (1 - 102))*75. Let p be 1600\/(22499\/h - -3). What is p rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + r - 2. Let m be g(2). Suppose -2*u = -3*x + 17 - 1, -3*u - 27 = -5*x. Solve -8 = -m*o, 8 = -h - o + x*o for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -194 or 25\/2?\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 99790405?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 22848?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12210021100020 (base 3) to base 7.\nAnswer: -35100432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*j = -102*j + 47*j + 309*j + 16848 for j.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 80968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 0 + 10*19\/(-38)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 7*x + 65. Calculate g(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -117713 + -5?\nAnswer: -117720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*v**2 + 2035*v - 2035*v)*(-18*v + 2*v + 68*v + 79*v - 2*v) as l*v**3 + f + i*v + g*v**2 and give l.\nAnswer: 2580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/326928 and -81\/112?\nAnswer: 326928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 914, 15 in increasing order.\nAnswer: -6, 15, 914","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -4, 2, 0 in descending order.\nAnswer: 5, 3, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 7*a - 345 = 0. Let j be -1 - 0 - 45 - -3. Let y = j - a. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 3*z + z)*(2 - 1 + 1) - 2 + 4 - 2*z + 0*z.\nAnswer: 4*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -577275125*q**3 + 72154985175*q**2 + 550672845*q + 1050625.\nAnswer: -5*(q - 125)*(10745*q + 41)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -470.\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d + 2e4a?\nAnswer: 2e3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) - (-5*sqrt(121)*2 + sqrt(121) - sqrt(121)) - sqrt(121) - sqrt(121)*3*-1)\/(-3*sqrt(396)*-5).\nAnswer: 13*sqrt(11)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d - 25*d**2 + 7*d - 4*d as q*d + y + u*d**2 and give u.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 546 - -14103?\nAnswer: 14652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 713 + -711. Suppose c - 211 = -6*o + 5*o, -j*c = -o + 226. Is o a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4518 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 8*o - 105 = 3*o, 5*b - 2*o - 123 = 0. Solve -11*r + 6*r = -b for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250*y + 261*y + 1579 - 5544 = 446*y for y.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 divided by 141?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express c - 3*c + 3*c + (0*c + 2*c - 4*c)*(-1 + 4 - 2) + 35*c + 44*c - 3*c + 3*c - 2*c - 3*c in the form i + v*c and give v.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15 + -a0b8?\nAnswer: -a0a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 119, -2, 5, 8406, 1 in decreasing order.\nAnswer: 8406, 119, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x. Let f(p) = -p**2 - 4*p - 2. Let c be f(-2). Let b(w) = -2*w + 2*w - 2*w**2 + 0*w**c. Give b(t(m)).\nAnswer: -32*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4207837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -10*y - 10. List the prime factors of w(-5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35 + -42?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 80, 174, 302, 458, 636?\nAnswer: 830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3199 = -488*z - 5097 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 30 + -48 + 31 - (23 + 4 + -4)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/11 (b) 3 (c) -0.5 (d) -63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 536 and 357729683.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v + 1. Let g(j) = -j**2 + 26*j + 161. Let w(o) = g(o) - 3*y(o). Let t be w(36). Solve 0 = -t*k + 9*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {h: 5, u: 5, v: 2, m: 5, o: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4634173243 to the power of 1\/3, to the nearest integer?\nAnswer: 1667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -1\/24*o**4 - 1\/60*o**5 + 0*o + 0*o**3 + 3\/2*o**2 - 2. Let x(k) be the second derivative of m(k). Find r such that x(r) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 124 and 1550.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22076690917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -13*g**3 + 4*g**2 - 96*g + 99. Give k(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -23\/4 (b) 1\/2 (c) -2.38 (d) -2 (e) -0.5 (f) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**4 + 4*p**4 - p**4 + (2*p**3 - 3*p**3 + 0*p**3)*(0*p + 5*p - 4*p) - 15*p**4 + 15*p**4 + 17*p**4.\nAnswer: 18*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k + 1. Let g be n(1). Suppose 0*u = -u + 25. Suppose -4*m = -3*m - 5*v - u, -24 = -4*m + v. Sort m, g, 4 in decreasing order.\nAnswer: m, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*n = 29, -2*n - 9 = m + n. Let f(a) = m*a + 4 - 4. Let j(o) = -29 - 2*o + 29. Calculate f(j(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-nine halves of a century in years?\nAnswer: 3950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**3 + 7*n**3 + 17*n**3.\nAnswer: 27*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from saaa. What is prob of picking 1 a and 1 s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (108\/(-1716))\/((-1023)\/15004)\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 2, -2, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6820 divided by 6820.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -o**4\/3 + o**3\/2 - 3*o**2\/2 - 2*o + 1194. Let w = 4 - 2. Suppose -5*z + 2 + 0 = -4*r, 3*r + w = 4*z. Determine h(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -5*z - 1934760, -4 - 11 = 3*m. Round z to the nearest ten thousand.\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 215\/(-50) - (-4 + (2 - 2)). What is the smallest value in 2\/11, h, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2785*c + 135. Let k(u) = -119756*u + 5850. What is 3*k(q) - 130*w(q)?\nAnswer: 2782*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4276 + -4274. Solve -5 = -5*d, -3*n - 1 = t*d - 9 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1111*k + 2 - 1 - 1111*k - 3*k**3 in the form i + o*k**2 + g*k**3 + z*k and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -z**4\/3 - 4*z**3\/3 - 5*z**2\/2 - 8*z. Let g(n) = -37*n + 40*n + 2 + 2*n**2 + 2*n**2 - 3*n**2. What is 3*b(a) + 8*g(a)?\nAnswer: -4*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 68300759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 * 2838.561\nAnswer: -141.92805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 58.3 - -56.1. What is t rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-176*10\/(-1100))\/((-8)\/(-190))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*w**2 - w**2 - 3*w**2 - w**2 + 8*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5586*y**3 + 315*y**2 - 495*y + 51. Let d(w) = -5583*w**3 - 314*w**2 + 494*w - 50. Let r(f) = 3*d(f) + 2*v(f). Suppose r(i) = 0. What is i?\nAnswer: -4\/11, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + f + 2*c - 2 = 0, -5*c = 3*f + 13. What is the units digit of (-1)\/f + (-1345)\/(-20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -3*k + 5*b - 19, 0 = 3*k + 2*b - 16. Let t(a) = -k*a**2 + 8*a**2 + 8*a**2 - 16*a**2. Let i(m) = -6*m. Give i(t(o)).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 582541764 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 7*i**2 - 4*i - 2. Let q be r(-7). Suppose -3*h + 1 = 4*p, 5*p - 4 = 4*h - q. Solve -4*t + h*k = -t, -4*t + 5*k = -3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 767 and 118.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 353.70024 to zero decimal places.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12470182 is divided by 346.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -6108, -24524, -55246, -98274, -153608, -221248, -301194?\nAnswer: -393446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fmf when three letters picked without replacement from kmtttmttwtfnnwnfkwwn?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -6 - 4) + 1 - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d + 13 - 3*d + 0*d + 3*d. Let m be s(11). Suppose m*g = c, -2*c - 3*c + 4*g + 12 = 0. Solve l - 15 = c*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -2*z**3\/15 + 57*z**2\/5 + 4802. Factor i(u).\nAnswer: -2*u*(u - 57)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - v + 266. Let x be z(0). Let u = -847\/3 + x. Calculate the common denominator of u and 67\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 121 - 21. Let q = g - 0. Suppose 5*u - 20 = q. Does 12 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6356 and 8596.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6535470801)\/(-15) + -4)\/(-4). Let g = q + 108898709. Let c = 25809 + g. Calculate the common denominator of c and 53\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -19\/3*d**3 - 1\/2*d**4 + 3 + 3*d + 14*d**2. Determine z so that t(z) = 0.\nAnswer: -7, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xgx when three letters picked without replacement from gxxxxg?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50 and 60570?\nAnswer: 302850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 116 and 31552?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -249617, 56\/3, 1, -2\/5?\nAnswer: 56\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.076, 2\/13, -0.5, 2\/3, 1, 1\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5032 + 5032.1. What is the second biggest value in -5, o, -9, -55?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h**2 - 4*h**3 - 4*h**3 - 48*h**3 + 4*h**2 - h**4 - 2*h**2 to a*h**2 + t*h**4 + x + o*h**3 + c*h and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**3 + 49*k**2 + 19*k - 1054. What is o(24)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -45*y**5\/7 + 123*y**4 - 4164*y**3\/7 + 7920*y**2\/7 - 5664*y\/7 + 624\/7 = 0. Calculate y.\nAnswer: 2\/15, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2610 and 5366.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-102)\/(-170)*10\/2. Let d be 10\/(-75) + (-1 - 214\/(-30)). Solve p + 0*p = o*q - 10, 2*p = -q - d for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4179, -8310, -12355, -16272, -20019?\nAnswer: -23554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 35? (a) 0.2 (b) 3 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 279 + 404 = -27*n, 2*n = -2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 0 + sqrt(8) - (5 + -1 + sqrt(98)))**2.\nAnswer: 80*sqrt(2) + 114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(16) + (1*sqrt(135))\/sqrt(9))\/(-4*(((sqrt(3) - sqrt(33)\/(3*sqrt(11))) + sqrt(3) - sqrt(3)) + sqrt(3) + sqrt(3))).\nAnswer: -9*sqrt(5)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 4:31 AM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/10)\/f*f**(-6)*f)**(-4\/29) assuming f is positive.\nAnswer: f**(126\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2 = -r, -2*r = 2*g - 6 - 6. Suppose 0 = -r*y + 17 - 1. Let n be 13 - -30*(-12)\/24. Put 7, n, y in ascending order.\nAnswer: n, y, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -12792 in ascending order.\nAnswer: -12792, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*b**2 - 123*b**2 + b**3 - 7 - 147*b**2 + 409*b**2.\nAnswer: b**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**5 - 2*a**5 + 5*a**5 + (4*a**2 - 5*a**2 + 2*a**2)*(a**3 - a + a) + a**5 + a - a + a**5 + 0*a**5 + 0*a**5 + 2*a - 12*a**5 - 2*a.\nAnswer: -7*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -7*m**2\/5 + 12*m\/5 - 1 = 0.\nAnswer: 5\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.58 and 3.\nAnswer: -1.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 k when three letters picked without replacement from ttttttttttttttttktk?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 15*j**2 - 8*j - 3. Let k(m) = m**2. Let h(l) = -f(l) + 5*k(l). Let v be h(8). Let n = -43 - v. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/9, 25, 0.4, 1\/7, -0.12 in increasing order.\nAnswer: -0.12, 1\/7, 0.4, 10\/9, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -27*s + 60. List the prime factors of h(-10).\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17945092967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p - 3. Let b(f) = f**2 - 214. Calculate b(d(v)).\nAnswer: v**2 + 6*v - 205","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -7 + 28*q**2 - 23*q**2 - 69*q - 84*q + 154*q. Let g(h) = h**2 - h. Determine -g(o) - n(o).\nAnswer: -6*o**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 0*n + 4*l = 19, 5*n - 3*l + 27 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 3*k**5 - 773*k**4\/3 + 12442*k**3\/3 + 71810*k**2 - 1268483*k\/3 - 143585\/3 = 0.\nAnswer: -13, -1\/9, 5, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4))\/((-287)\/492*4\/(-42)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -288*c**2 + 271*c + 173491.\nAnswer: -576*c + 271","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.7*1107063.\nAnswer: 4096133.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -73b0b5 (base 12) to base 15.\nAnswer: -260302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 20643, 81461, 182823, 324729, 507179, 730173, 993711?\n\"Answer: 20272*f**2 + 2*f + 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 83\/9 - 1217\/171. Let z = o - 2. Let u = 0.1 - 0.1. Which is the third smallest value? (a) u (b) z (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 6*z + 11. What is the lowest common multiple of d(-5) and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -350*x - 118. Let g be s(2). Let d = 816 + g. Let f = -2 + 6. Put f, -3, d, 3 in decreasing order.\nAnswer: f, 3, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46 + 45.81. Let g = -0.69 - y. Which is the second biggest value? (a) -3 (b) g (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 168, 746, 1756, 3210, 5120, 7498, 10356?\n\"Answer: 2*z**3 + 204*z**2 - 48*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 31*q**3 - 4*q**2 + 5*q - 5. What are the prime factors of o(2)?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47 and 38\/453.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 - q**2 + q**2)*(2*q - 2*q + q**3) - q**5 + 3*q**5 - 4*q**5 - 2*q**5 - 4*q**5 + q**5 + 27 + 4*q**5 - 27.\nAnswer: -2*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48048 = -9*p + 20*p. Suppose 3*k - 6471 = p. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**4 - 5*v**4 + 4*v**4 + (-2 + 4 + 1)*(1 - 1 - 8*v**4).\nAnswer: -25*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 6 = n. What is the third derivative of -4*z**5 + 0*z**2 + n*z**5 + 3*z**2 wrt z?\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -25*a**3 - 3*a**2 + 2. Let w be i(-1). Solve 5*q + w = -3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/2*(2 - 9). Suppose 2 = 3*h - b. Suppose g - 6*g = -h*n - 18, 5 = g - 2*n. Calculate the greatest common divisor of g and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76 + 157. Let c = i + -77. Solve x = -x - c for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -66 - -92. Let r = g + -26. Which is the nearest to -1\/4? (a) 5 (b) 1\/5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/6 + -5 + 3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05617677 rounded to 4 decimal places?\nAnswer: 0.0562","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 595*m**2 - 339*m - 2729569?\nAnswer: 1190*m - 339","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 5*r**2 - 6*r. Let m be n(-4). Find the common denominator of 25\/7 and m\/(-24) + 134\/(-18).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - b - 53, -2 = b - 3. Suppose -20 = 4*k + 2*t - 82, 4*k - 3*t - 47 = 0. Calculate the remainder when w is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/(-15)*(-129)\/(-264)*3 and 83\/56.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83.1 at most 20722?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46286 + 97894888\/2115. Which is greater: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10352029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2 - 96*c + 204.\nAnswer: -3*(c - 2)*(c + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20899 + 37254. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 934200 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -15 + 1\/2*y**2 + 11*y. Calculate n(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7460 - 1382540. Let x be 0 + 6\/36 + (-38853353)\/(-42). Let u = x + y. Round u to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -116633*g. Let l(m) = 2*m**2. Give a(l(t)).\nAnswer: -233266*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q + 56. Suppose 2*m - 113 = -75. Let i be p(m). Does 25 divide (i - -21)*(-12)\/(-10)*13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 652828 is divided by 46?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/6703 - -730639\/40218. Calculate the common denominator of q and 14\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1329300 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = k - 5. Suppose 15 = -4*g - k*s, -2*s - 12 = -4*g + 2*s. Suppose 2*l = -g*l + 40. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*s**4 - 9*s**2 - 7*s + 3323.\nAnswer: -8*s**3 - 18*s - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*b + 4441 = 945. Solve -56*x - 40 = b for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275 a factor of 11495550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/4 + 34\/72. Let y be 5 - (285\/30 + 3*-1). Sort y, j, 3 in increasing order.\nAnswer: y, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61128 (base 11) in base 2?\nAnswer: 10101110011110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-18)\/63 - (0 + (-107892)\/28).\nAnswer: 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 840 and 22267095?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10134 (base 5) to base 11\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(16)\/(sqrt(200)*-2 + sqrt(8)))**2.\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s - 3. Calculate p(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1347296347?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -346*a**3*j - 169*a**3 - 20*a**2 + 4*a*j + 10*j wrt j.\nAnswer: -346*a**3 + 4*a + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 15*o = 24. Suppose 2*l + 2*n + 6 = 0, 4*l - n = 2*n + 23. Find the first derivative of 20*t**3 + 9 - 40 + l + o wrt t.\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -611 + 4*x**3 + 251 - 3*x**3 + 113 - 2*x**2 - 927 to s*x**2 + j + l*x**3 + r*x and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**3 + d**3 + 21*d - d.\nAnswer: -d**3 + 20*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 295160 and 405845.\nAnswer: 3246760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 27*w**3 - 2*w**2 - w - 3. Let i be d(-2). Let b be (i\/90)\/(2\/3230400). Round b to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 5 + o - 4*o)*(3*o**2 + 4*o**2 - 5*o**2 + (2*o**2 + 3*o**2 - 3*o**2)*(-2 + 4 + 0) + 5*o**2 - o**2 - 3*o**2).\nAnswer: -14*o**3 + 35*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**3 - 47*r + r**3 - 9 - 7*r**3 + 30*r - r**3 as d*r**3 + j*r + i*r**2 + l and give j.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -86\/166139 or 0?\nAnswer: -86\/166139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(18\/260)*180\/(-1800).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*z - 14*z. Let u be 9 + -11 + 2 + z. Suppose -5*k - 25 + 85 = 0. Solve k = 4*o + 4, u = h - 4*o + 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 2*g - 4*g)*(1 + 4 - 3)*(g**4 + g**4 - g**4) + (2*g - 2 + 2)*(-1 + 2*g**4 + 1).\nAnswer: -4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -5*q - 6. Let s(n) = -11*n - 13. Suppose -4*k = 20, 3*k - k + 34 = -3*v. Let c be ((-12)\/14)\/(v\/56). What is c*s(l) - 13*i(l)?\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 14. Let u be 1*(1192\/72 + -4 - 7). Which is greater: u or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33.16234 * 0.023.\nAnswer: 0.76273382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/10 - (-39768)\/10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111002 - -101120021000?\nAnswer: 101120202002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.8, -0.3, -142, 1\/3, -4\/11, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -350, -826, -1488, -2342, -3394, -4650?\nAnswer: -6116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -936*r + 3860*r + 1089*r = 104338 for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p - 3. Let k be q(9). Suppose 0 = -5*f - 9 + k. Suppose -f*j = j - b - 104, 4*j + 2*b - 92 = 0. Solve 0 = -5*v - 5*z - j, 4*v + 2 - 6 = 2*z for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-27)*45\/(-10). Is 13 a factor of 86\/u - (25 + -22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3084 + -0.32?\nAnswer: 3083.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -124 - 1944c?\nAnswer: -19572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -122*s - 5. Let v be p(-3). Suppose -4*r - 149 = -v. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.48887 and -0.04691.\nAnswer: -0.0698428917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -94 - -104. What is the smallest common multiple of f and 22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 713 and 5318267?\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61609, -123167, -184725, -246283, -307841, -369399?\nAnswer: -430957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -1, -15*d + 3*a = -13*d + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -5*k + 5, p - 5*k + 5 = -3*k. Let n(c) = c**3 + 4*c**2 - 4*c - 6. Suppose -w - 2*w + 12 = 0. Let x(t) = t**2 - t. What is p*n(a) + w*x(a)?\nAnswer: -a**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 364 + -333. Which is the nearest to -1? (a) i (b) -4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 456856675?\nAnswer: 5, 11, 151027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 1. Suppose 0 = 2*t - q - 2. Suppose -3*f - 4 = -s, -2*s + 8 = -5*f + f. Which is bigger: f or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1380 divided by 5?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 65 = t + 1, 12 = 4*t. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -12. Suppose 3*c + 0*c + o - 56 = 0, -c + 36 = -4*o. What is the highest common divisor of c and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 + 18. Suppose -18*v + 15*v = 36. List the prime factors of 3\/n + (-891)\/v.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -16. Let c(v) be the second derivative of -v**5\/20 - v**4\/2 + v**3\/6 - v**2\/2 - 53*v. Determine c(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 6*p**5 + 19*p**4 - 33*p**3 - 174*p**2 - 167*p - 24. Let s(d) = -d. Let w(y) = -o(y) - 5*s(y). Factor w(k).\nAnswer: -(k - 3)*(k + 2)**3*(6*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 41, 100, 187, 302, 445?\n\"Answer: 14*j**2 + 17*j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147510 divided by 33.\nAnswer: 4470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5002348.\nAnswer: 2, 13, 96199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1078 + -1069.01. Let t = 9 - q. Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 252 + 360. What is the highest common factor of 135 and j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.1 + -2.1. Which is smaller: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -4, -148 in descending order.\nAnswer: 23, -4, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.78, -0.2, -1\/4 in ascending order.\nAnswer: -0.78, -1\/4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 54\/(-4)) + 3\/2. Suppose -x*z + 3947 = 153. List the prime factors of z.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 12, -7, -54, -141, -280, -483, -762?\n\"Answer: -2*f**3 - 2*f**2 + f + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (27\/(-6) + 6)\/(1\/(-2)). Let g = 15 - 11. Sort g, -1, -2, v.\nAnswer: v, -2, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 10:27 AM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146249940?\nAnswer: 2, 3, 5, 31, 61, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/(-6)*(24\/60)\/((-12)\/(-45)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 58a3 (base 13) in base 16?\nAnswer: 30b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101110100011100 - -1000?\nAnswer: -101110100010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**41*f**(-8))\/(f**(-11)\/f**(3\/10)))**(-2\/5) assuming f is positive.\nAnswer: f**(-443\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-224)\/(-56)*(3045\/(-30))\/29\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nine tenths of a century?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - 1438\/4)*261\/(-50436). Let a = t - -2\/467. Find the common denominator of 32\/95 and a.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(6300) + sqrt(6300) - sqrt(6300))\/(sqrt(9) + -3*sqrt(36)\/sqrt(4))*2*5.\nAnswer: 50*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 7*b**2 - 2*b + 11. Let u(x) = -1. Let n = -1 + -3. Let o(h) = n*u(h) - d(h). Does 15 divide o(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + 6 + 5 - 0. Let y(p) = -27*p**2 - w*p - 12*p + 20*p. Let g(r) = 2*r**2. What is g(y(n))?\nAnswer: 1458*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 17*i**2. Let w = 48 + -52. Let q(x) = 5*x. Let y(d) = -d. Let r(p) = q(p) + 2*y(p). Let k(h) = 2*h. Let z(c) = w*k(c) + 3*r(c). What is v(z(n))?\nAnswer: 17*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1531389?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1823?\nAnswer: 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(136)\/(sqrt(8)*-1 - sqrt(8))*-2.\nAnswer: -2 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 312.173 + -312. What is i rounded to 2 decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -39 in -31, 0.2, 0.372?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4463 and 134?\nAnswer: -598042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 4*r**2 - 5*r - 2. List the prime factors of x(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -28 (c) 5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + -4*sqrt(539)*3 + sqrt(539) + sqrt(539))**2*1 + ((-1*sqrt(77))\/sqrt(7) - (-5 + sqrt(176)))*3.\nAnswer: -15*sqrt(11) + 43674","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4\/26 - 19173\/1001\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + 3. Suppose 0 = -5*a + 1119 + 1126. Suppose -2*b - 5*y - 79 = -a, 3*b + 4*y - 548 = 0. Calculate the greatest common factor of b and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**4 + 2525369*j**3 - j**2 - 150020359*j wrt j?\nAnswer: -24*j**2 + 15152214*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13.25 - 13. Let j = -0.13 + v. Let k = j - -0.88. Put 2, k, -0.3 in decreasing order.\nAnswer: 2, k, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**5 - 110*z**4 + 195*z**3 + 110*z**2 - 200*z = 0. What is z?\nAnswer: -1, 0, 1, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.087 minus 399061422195?\nAnswer: -399061422194.913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*r + 79*r - 2339 = 686 + 515 for r.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sqnn when four letters picked without replacement from {s: 1, n: 2, q: 5, b: 1}?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*y**3 + 7117 - 3592 - 3525 - 61*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -316723 + 6017739\/19. Let a = 0.2 + -0.2. What is the biggest value in a, q, -14?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d + 107276 = 16*d + 14*d. What are the prime factors of d?\nAnswer: 2, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a week in minutes?\nAnswer: 62496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 85026524 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q + 434 + 146 = 0. Is q at most -61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1003, 1130, 1257, 1384, 1511, 1638?\nAnswer: 1765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -3*k - 0*k. Suppose -4*v = k - 68. Solve -r + v = 3*r + 2*x, 0 = 3*r + 4*x - 14 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32741 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-75))\/(24\/15).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -649 or -652?\nAnswer: -649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/17 (b) -3 (c) 0.3 (d) -3\/4 (e) 1646 (f) -44.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -15*j**3 - 1622*j**2 - 215*j + 102. Give x(-108).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1042.8 to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2336 is divided by 57?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2485103700 rounded to the nearest 100000?\nAnswer: -2485100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 270*f**3 + f**2 - 13*f + 53. Let q be g(3). What is the highest common divisor of q and 206?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of 0*r - 2 - 1\/2*r**2. Let y be f(0). Do 0 and y have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 8. Let n = 1 + j. What is the second derivative of 2*p**5 + 0*p**5 - n*p + 2*p wrt p?\nAnswer: 40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2879?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4\/3 (b) 14690 (c) 2\/3 (d) 0 (e) -5 (f) 0.12 (g) 1\/6\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + -1 + (-142 - -138).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/77671 and 4\/63549.\nAnswer: 699039","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + u**2 + 2*u + 2. Suppose -20 = s + 4*a, 5*a = 2*a - 15. Let t be j(s). Find the third derivative of 4*l**5 - 10*l**5 + 0*l**5 + 19*l**t wrt l.\nAnswer: -360*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and -17.6.\nAnswer: 105.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14435 - -7932. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -2 (c) 32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1936, 3977, 6040, 8143, 10304?\n\"Answer: 3*k**3 - 7*k**2 + 2041*k - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + l + 4*l - 18, 0 = 5*t - 5*l. Let j(f) = -f + 71 - 19 - 27 - 22. Let g(c) = -c + 3. Calculate t*g(n) - 4*j(n).\nAnswer: n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 13. Let q be (c\/5)\/((-2)\/26). Let n = q - 5. Is 7 at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 99 and 21.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1080b (base 13) to base 10\nAnswer: -29924","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-35))\/((-24)\/(-42))*(-1)\/(-2).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 9*p**2 - 320*p + 30. Let z be a(36). Suppose 3*g + 5 = -19. What is the hundreds digit of (z\/g)\/(12\/(-80))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4703, 2257.\nAnswer: -4, 2257, 4703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98)\/sqrt(32))\/(sqrt(49)\/(sqrt(14)\/sqrt(2)))*-5)**2.\nAnswer: 175\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4474.598 tonnes in kilograms?\nAnswer: 4474598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -1 + 4*h + 2*h - 2*h + 2*h**2 + 3. What is the first derivative of s(n) wrt n?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95168881 - -0.01.\nAnswer: 95168881.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 587847755 a multiple of 348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/52 and 105\/208?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 509 * 1\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w + 25. Let s be v(-22). What is the smallest value in s, -3\/2, -3\/8?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 348 = -4*v, 0 = -3*n + 14 - 2. Which is bigger: v or 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of 0 + 3*v + v**3 - 7\/12*v**4 + 1\/20*v**5 - 1\/2*v**2. Let c(m) = -2*m + 4. Let d be c(-1). What is p(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -55555 and -6414.\nAnswer: -61969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from kkkxkkkkkkkkkkk.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 258, 270, 282, 294, 306, 318?\n\"Answer: 12*z + 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(429\/18))\/(((-30)\/(-1300))\/(57\/95))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1344, 1347, 1360, 1389, 1440, 1519?\nAnswer: 1632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.11855 to 2 dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127753, -510943, -1149589, -2043691, -3193249, -4598263, -6258733?\nAnswer: -8174659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -1893?\nAnswer: -1888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -455*a + 7575. Calculate d(20).\nAnswer: -1525","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135966997.\nAnswer: 641, 212117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.15? (a) -1\/6 (b) 1 (c) -0.097 (d) -2\/101\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 26 + 575?\nAnswer: 5a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**5 + 3*t**5 - 5*t**5 + 2*t**5 + 0*t**2 + 0*t**2 + (3*t**5 + 5*t**5 + 0*t**5)*(-1 + 1 - 2) + (3*t + 3*t**3 - 3*t)*(-5 - 5*t**2 + 5).\nAnswer: -31*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 563\/2, 39, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -133.8 - -69.8. Sort -2\/5, k, 0.06 in increasing order.\nAnswer: k, -2\/5, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25232963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1000221 - 0?\nAnswer: -1000221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9229882 or -9229896?\nAnswer: -9229882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 - 11*a**2 - a - 9. Determine s(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 49.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 19*d**2\/2 + 54. Let l(t) = 27 + 26 - 53 - 5*t**2. Calculate l(a(p)).\nAnswer: -1805*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*r**4 - 3*r**3 - 65*r**2 + 14*r - 5 wrt r.\nAnswer: -36*r**2 - 18*r - 130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 5:15 PM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.034 * -0.4\nAnswer: 0.0136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by -366863.\nAnswer: 3\/52409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**3 + 2*k**3 + 5*k**3 + (3*k**3 - 7*k**3 + 2*k**3)*(-5 - 4 + 4).\nAnswer: 15*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q. Let o(t) = 4*t - 1. Let c be 46\/10 + (-3)\/5. Suppose -c*u + 15 = -5. Suppose u*i + 12 = 5*r + 2, -4*i = 4*r + 16. What is r*o(a) - 2*b(a)?\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 94639?\nAnswer: -4\/94639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 5*b**2\/2 - 199. Let v(r) be the third derivative of -r**5\/15 - r**2. Determine v(p(u)).\nAnswer: -100*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 - 85 - (6 + (0 - 16)) - -29.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 + 21. Let q = -30 - l. Sort 4, -1, q in increasing order.\nAnswer: q, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 7:28 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (1 + 13 + -2 - (-9 - -11)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 592\/2637 - 2\/879. Factor 0 + 0*u**2 - v*u + 2\/9*u**3.\nAnswer: 2*u*(u - 1)*(u + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5*c**2 + 2*c - 1. Let s be j(-4). Suppose 6*x = 393 + 105. Let f = x - s. What is f rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99 and 41679?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/19? (a) 5 (b) 53 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 - -55. Let u = m + -6. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((-41 - 3) + 41).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14271379?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -11*w - 9. Suppose 14 = -t + 3*b, 5*t + 5*b + 9 + 1 = 0. Let q be z(t). Let a = q + 81. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -307\/12714?\nAnswer: -307\/12714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.2809 * 10.198\nAnswer: 2.8646182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 5*h = 12, 21286*b - 21285*b - 5 = 2*h for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -315754, -631517, -947280, -1263043, -1578806, -1894569?\nAnswer: -2210332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-1)*(8 - 551029). Suppose -3546937 = 5*b + t. Round b to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.284703 millilitres in litres?\nAnswer: 0.000284703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4643220690?\nAnswer: 2, 3, 5, 397, 129953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11174660*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/388 and 23\/4850.\nAnswer: 9700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4853 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5b24 - 2b6?\nAnswer: -621a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214*y - 8 = 3*o + 216*y, 0 = y + 4. Solve 354*f - 378*f + 96 = o for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470054 to the power of 1\/2, to the nearest integer?\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/14 and -81\/321110.\nAnswer: 2247770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -202134, -809315, -1821298, -3238095, -5059718, -7286179?\nAnswer: -9917490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 74411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2\/3 (b) 2\/7 (c) -2 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9165 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -320264 divided by 160132?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 4*a + 5. Let v be z(-4). Let b be (-3 - -1)*((-54)\/(-24) - 2). What is the nearest to b in -0.12, 2\/5, v?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 215.14 * -2\nAnswer: -430.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/11)\/(12 + -10)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.457? (a) 0 (b) 1\/6 (c) -2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 33, 1\/6, -0.04, 21, -2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*f = 0, 3*t - 4 = 3*f + 5. Let d = 2 + t. Let p = 13 - d. What is the lowest common multiple of 7 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 7 = 5*t, 0*t - 2*t - c + 2 = 0. Let w be 1\/(-2) + (-45)\/(-10). What is the third derivative of -6*l**2 - l**w + 4*l**2 + t*l**2 wrt l?\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -999 greater than or equal to -999?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 14*b + 23. Let l be i(-16). Let m(g) = -g**3 - 11*g**2 - 19*g - 5. Let v be m(l). Solve 0 = -2*p + v*u - 6, p - 2*u + u = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230120 is divided by 3019?\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6123.237 months to decades.\nAnswer: 51.026975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 839 + 2929. Suppose 0 = 5*i - 29*i + u. What is the remainder when i is divided by 42?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8673588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 190 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 11:16 PM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 1:59 AM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20339441?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.97 - 0.03. Let c = -1.25 - -0.05. Let j = c + -3.8. What is the closest to 1\/4 in 0.2, y, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84, 87, 90, 93?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.67 take away 315.757761559?\nAnswer: -316.427761559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 37529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5110)\/28)\/(2755\/1102).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 1.06. Let n = 8.9 - 5.9. Which is the fourth biggest value? (a) u (b) 0 (c) n (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3513, -0.39, -1\/2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -39*b**2 + 2355030*b + 1449264 = 0?\nAnswer: -8\/13, 60386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/7)*c**(2\/7))\/(c**(4\/3)*(c*c**(3\/4))\/c)*(c**4\/c**(-7))\/(c**(-1\/2)*c)**(-2\/39) assuming c is positive.\nAnswer: c**(3463\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + sqrt(20)\/sqrt(4))*-1.\nAnswer: -4*sqrt(5) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 174824, 174833, 174854, 174893, 174956?\n\"Answer: w**3 + 2*w + 174821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 193440537?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -1 - 7*l**2 + 6*l + 0*l**3 + 0 + l**3 - 2. Suppose 0 = -3*u + 4*g + 31, -4*u - 5*g = -8*u + 40. What is k(u)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000411161983 to 7 decimal places.\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1210 - -1950. Does 15 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {l: 1, u: 12}.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 756\/43 not equal to 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -263*t**6\/60 - 29*t**5\/10 + 4*t**2 + 3*t. Find the third derivative of w(a) wrt a.\nAnswer: -3156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16828*-0.2\nAnswer: 3365.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 38\/(-12) + (-2 + -3)\/(-30)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -101 in -4, -0.5, -6, 1.1, 3, -0.67?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/3203 (b) -1 (c) -2 (d) 2\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6*1\/12*(0 - -6). Let c(t) = -t**2 + t + 5. Calculate c(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, v: 10}. What is prob of sequence vmmv?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1046 times -0.527?\nAnswer: 0.0551242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/35)\/(-7*18\/441).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a - a**2 + 308*a**3 + a**2 - 310*a**3. Let t(h) = h**3 - h. Let u be 20\/(-8) - 1\/(-2). Let j be (1\/u*-4)\/(-1). What is j*r(y) - 3*t(y)?\nAnswer: y**3 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*v**3 - 68112257 + 68112257.\nAnswer: 100*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89269.09ml to litres.\nAnswer: 89.26909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84226 divided by -5.\nAnswer: 84226\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (84 - 81) + 0 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -3*y**4 - 54*y**3 - 93*y**2 + 54*y + 96 = 0.\nAnswer: -16, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 37 - (-42 + 67 + 6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -7*d - 152. Suppose 0 = 4*v + 2*w + 100, 3*v + 3*w - 175 + 256 = 0. Give r(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(3*s + s - 3*s) - 31*s - 23*s + 20*s - 6*s + s + 4*s + (2 - 2 + 2)*(-2*s - s + s) + 5*s + 7*s - 5*s.\nAnswer: -31*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 4, -0.048, 3.\nAnswer: -0.048, 3, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 202*g + 16560. What is t(-82)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*c**4 + 506*c - 11*c**4 - 14 + 516*c - 1038*c - 24*c**3 wrt c?\nAnswer: -168*c**2 - 144*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(56)\/sqrt(32))**2.\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*120\/270?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.91 + 4.91000414. Round n to seven dps.\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 26 = 2*w. Let b = 18 + w. Suppose -r = 2 - b. Solve -r*v = 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20315?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of k*m*r + 7*k*m - 2*k*r + 101*m*r + 2*m wrt k?\nAnswer: m*r + 7*m - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000117119 to 7 decimal places.\nAnswer: -0.0001171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -326*n - 27 = -327*n. Let p(v) = -v + 13. Let k be p(11). Suppose n + 309 = k*r. What are the prime factors of r?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -154 (base 15) to base 5.\nAnswer: -2204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 7*m**2 + m - 3. Let c be v(7). Let d(s) = 6*s - 4. Let a be d(c). Suppose -3*g - g = -a. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v**2 + 8*v**2 - 231*v**2 - 224*v**2 + 4*v**2 to the form w + i*v**2 + f*v and give i.\nAnswer: -439","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 7:03 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -23*b**6\/360 - 5*b**3\/6 + 9*b. Let y(g) be the second derivative of f(g). Let c(x) = x**2. Determine c(y(d)).\nAnswer: 529*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 936 divided by -156\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(8\/5))**(-9\/2))**(4\/21) assuming h is positive.\nAnswer: h**(-48\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6994*v + 2326*v + 2350*v + 2320*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -231794*q**2*z**5 + 3*q**2*z + q*z**5 - 2*q*z - 5276*z - 6 wrt z?\nAnswer: -4635880*q**2*z**3 + 20*q*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 111 - -14?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/3, 120.5, 0.02542, -0.04?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8839*q + 4424*q + 4409*q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1055535 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 11. Find the first derivative of -2 + 4 + 4 - 5*m**p + m**2 wrt m.\nAnswer: -8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.06 + 1.94. Let k = 3 - u. Which is the nearest to -1\/2? (a) -1\/7 (b) k (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5037 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2557 is divided by 134?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -456 + 456 - 233*s - 1 + 1 - 2*s + (1 - 1 + 2)*(-2*s - 5*s + 5*s) to the form y*s + v and give y.\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45.9988 + -46. What is n rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.7 + 3.7. Let j be 25\/(-20)*-4 - (-82)\/(-16). What is the smallest value in y, -6, j?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -415 + 1222. Let g = 806.9 - y. Is -0.1 equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 10*c - 9. Let m be d(-9). Suppose 0 = -3*y + 5*s + 2672, m = -y + 5*s - 1 + 895. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/935 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 48, 418, 1470, 3558, 7036, 12258?\n\"Answer: 59*t**3 - 13*t**2 - 4*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 26*i**2 - 66*i - 3. Calculate the least common multiple of b(15) and 6.\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 8853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, 24, 5\/6, -4\/3, 0.4?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004509 to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312*y = -8199 - 7694 + 14645 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 407722036*y**5 + 434098*y - 12.\nAnswer: 8154440720*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13539501\/221 - 61265. Is 1 greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 5) to base 9.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -8195066.606 to the nearest one hundred.\nAnswer: -8195100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 + 0.3. What is the smallest value in q, 2, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 12250, 12247, 12234, 12205, 12154?\n\"Answer: -n**3 + n**2 + n + 12249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (47 - 57 - (-30 - -2) - 3) + -25?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*v + 3*v + v + (-v + 3*v - 3*v)*(1 - 2 - 1) - 3 + 3 - 3*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (-41)\/((-22550)\/(-9975)).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1556 + -3849. Let u = 2426.3 + b. Round u to the nearest integer.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**2 - 128*v + 2254. Calculate the remainder when 1719 is divided by i(41).\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -1)*2\/(-4). Is 7 a factor of 9\/1 + 2 - x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 471359 to the nearest integer?\nAnswer: 687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 + -30. Is h greater than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.03 (b) 38 (c) -0.4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.66 + 3.6600136. Round a to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3*x**2 + 3)*(-3414*x - 1692*x + 3438*x) as v + r*x + i*x**3 + s*x**2 and give i.\nAnswer: -5004","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, 6, 4, -53, 0.2 in descending order.\nAnswer: 6, 4, 0.2, -36, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4 - 2 = 0. Let n = m + -4. Let a(z) = -z**3 - 7*z**2 - 6*z + 2. Let y be a(-6). Solve n*i + o - 4 = 0, y*o = 5*i - o - 21 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 135215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of c**6\/21 + 16*c**5\/5 - 363*c**4\/14 + 1108*c**3\/21 - 248*c**2\/7 - 1751. Let v(o) = 0. What is o?\nAnswer: -62, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 4 - 2588*d + 18 + 3 + 2580*d to f + x*d and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4794, -9592, -14390?\nAnswer: -19188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00066469104 to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of q**7\/2520 + q**6\/1080 - q**5\/360 - q**4\/72 - 10*q**3\/3 + 8. Let p(m) be the third derivative of y(m). Solve p(n) = 0 for n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 2:01 AM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 115 and 529?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 9*o - 30 = -14*o, -9 = -3*u - 3*o. Solve -u*y - 5*w - 10 = 0, -3*y + 2*y = -w + 6 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 120 and 125730.\nAnswer: 502920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*r**3*z + 787400182*r**3 - 3*r**2*z + r*z - 35061780 wrt r.\nAnswer: 12*z + 4724401092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.559021 from -0.2.\nAnswer: 0.359021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 25 = -0*q. Let i = q + 1. Let l = 1\/105 - 737\/210. Which is smaller: l or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.047+6281.10776\nAnswer: 6281.06076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -i**7\/17640 - i**6\/45 - 56*i**5\/15 + 56*i**4\/3 + 45*i - 1. Let d(u) be the third derivative of a(u). Factor d(m).\nAnswer: -(m + 56)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + d - 38 = -d, 0 = 3*d - 12. Let h(m) be the first derivative of -m**2\/2 - 4*m + 53. Let p be h(q). Sort p, 0, 3.\nAnswer: 0, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3 - 50*h**2 + 2500*h - 15000.\nAnswer: -5*(h - 10)**2*(h + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4019341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 191066568 by -12.\nAnswer: -15922214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 7288*g = -7287*g + 128, -5*l = 5*g - 110. Let h = 11 - 4. Suppose 5*b + 25 = -3*s, 0 = -5*s - 3*b - 8 - h. Solve -5*a + s*a - l = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -c**5\/20 + c**4 + 13*c**3\/3 + 9*c**2 + 111*c + 5. Give m(14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 2*b - 13, -5*b + 5 = -5*s - 3*b for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 6*j**2 + 6. Let x = -9 + 3. Let m(n) = -10*n**3 + 55*n**2 + 55. Give x*m(y) + 55*v(y).\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443 is divided by 29?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/11, 1788, 1, -3\/5, 0, -0.4 in descending order.\nAnswer: 1788, 1, 0, -0.4, -6\/11, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*r + 649*r**3 + 34*r + 650*r**3 + 645*r**3 + r**2 - 1946*r**3 as l*r**3 + b + q*r**2 + d*r and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 326200 to the nearest integer?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1))**(-6\/7)\/(y**2\/(y\/(y\/(y*y**(-6)))*y))*((y*y\/(y*y\/y**(-5)*y))\/(y*y\/(y\/(y\/y**(-9)))*y))**(-48) assuming y is positive.\nAnswer: y**(6012\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 36\/(-21) - (-10)\/(-35) - -26. Calculate the highest common factor of c and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - -0.1. Let h = -7569 - -7573. Which is the closest to -4? (a) -4\/5 (b) h (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3250909?\nAnswer: 73, 44533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 32467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 5*n + 485, -5*q + 392 = 2*n - 206. Let o be 116\/q + 2\/(-12). Let l = -1.1 + 0.1. Which is the second smallest value? (a) l (b) o (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-101)\/((-9393)\/248))\/((-6)\/66*(-4)\/(-6))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 846 and 51371564?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140632536.\nAnswer: 2, 3, 11, 191, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1139 - -306. Suppose 0 = 7*k + b - 5197. What are the prime factors of k?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 - 58 = -5*b. Let f = -8877 - -8883. Let j be (-13628)\/(f\/(-3)) + b\/(-9). Round j to the nearest one hundred.\nAnswer: 6800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2148587, -2148494, -2148401, -2148308, -2148215, -2148122?\n\"Answer: 93*p - 2148680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11096338?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 1 - 4 + 3)*(-6*v**2 - 2*v**2 - 7*v**2)*(0 + v**2 + 0).\nAnswer: 15*v**5 + 30*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9967\/3 + 3263. Let p = f - -58. Put 5, p, -2\/13 in ascending order.\nAnswer: p, -2\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*q + 72 = 39*q. Let c(t) = t**3 - 9*t**2 - 35*t - 9. Let j be c(q). Solve 1\/7*s**4 + 6\/7*s**j + 8\/7*s + 12\/7*s**2 + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 115, 281, 525, 853, 1271?\nAnswer: 1785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 5*g + 3. Let x be r(-3). Let l be (x\/(-9))\/((-3)\/36). Let v be l\/(-4) - 10\/7. Which is the second biggest value? (a) 5 (b) 0.4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 337 (c) 0 (d) -2\/41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*n**2*o**3 - 2*n**2*o**2*u - n**2*o*u**2 + 14*n*o**3*u**2 + 9*n*o*u**2 - 2*o**2 wrt o.\nAnswer: -24*n**2 + 84*n*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -12 + (-405)\/(-25) + -4 - 358\/(-10). Solve -5 = -3*v - 34*k + q*k, -5*v - 3*k + 40 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 143516337?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 168*x**4 - 4*x - 201.\nAnswer: 672*x**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 553024440 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*h - 6*h**3 - 10\/3*h**2 - 2*h**4 + 0 + 2\/3*h**5.\nAnswer: 2*h**2*(h - 5)*(h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268561043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15ac + -4?\nAnswer: 15a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 5*d - 14 = -4*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 3 - 23 = 0. Suppose 0*r = r. Suppose 0*o - 2*o + a + 15 = r, 4*o - 39 = 5*a. Solve -x*l - 1 = -o for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) + sqrt(15) + (sqrt(165)*1 + sqrt(165))\/sqrt(11))\/(-2*sqrt(5)*1).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-51790)\/(-20) + 25 - 3\/2. What is the greatest common factor of z and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -78851*a**2 - 75290*a wrt a.\nAnswer: -157702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -14*b + 13*b + 5, m - b = 10. Is m\/(-105)*-3 - 3231\/(-21) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2055 - 2052. Which is the smallest value? (a) 0.176 (b) -1\/3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-10))\/((-13)\/(-4) - 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -214 + 208. Let s(q) = -q**2 + 23*q + 176. Let p be s(k). Solve 0 = -p*l + 6, -2*x + 1 = -2*l + 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p + 446. Let a(v) = -v**2 - 8020*v. Give a(m(i)).\nAnswer: -i**2 + 8912*i - 3775836","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + -4.1. What is the third smallest value in -0.4, 3\/8, z?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 11:46 AM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.9383 - 0.0617. Which is the nearest to -0.1? (a) 0 (b) f (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -5*s**2 - s. Let w be o(1). Let u be 30\/(-4) + 3\/w. Let p = 14 + u. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**2)\/l**(-1))**(23\/3)\/(l**(-2\/7)*l*l*l*l**(-3)*(l**(-1)\/l)**(-1\/15)) assuming l is positive.\nAnswer: l**(16\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 16*v - 18. Determine j(15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13887744337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (4 + (6 - 2)) - (51 + 0 - -1).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 14. Let l(y) = -2 + 2*y**o - 3 + 5. Let r(a) be the second derivative of a**4\/6 - 3*a. Calculate l(r(m)).\nAnswer: 8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -357, -527, -809, -1203?\n\"Answer: -56*l**2 - 2*l - 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10285983139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2. Let s(y) be the third derivative of y**7\/630 - y**4\/4 + 7*y**2. Let c(u) be the second derivative of s(u). Determine c(f(p)).\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 1200*r**2 - 25*r - 25. Let u(z) = -100*z**2 + 2*z + 2. What is 2*t(c) + 25*u(c)?\nAnswer: -100*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 1048 - 62 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -1)*(-261)\/(-3393) - 374\/(-39) - 3. Let 15\/2*i + 5\/6*i**2 + f = 0. What is i?\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -1097*f**7\/210 - f**5\/15 + 4498*f**3\/3 - 39*f**2 + 117. Differentiate n(i) wrt i.\nAnswer: -4388*i**3 - 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/69 - 2044\/1288)*8\/(-3). Solve 7*k + 3*c = 10*k + 24, 4*k + 5*c = z for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110011 - -1001011110000111100?\nAnswer: 1001011110001101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 444 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-2\/9)\/f)\/f)\/(f*f**7))\/((f*f**(-2)*f)\/(f\/f**(1\/12)*f)) assuming f is positive.\nAnswer: f**(-299\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1324 - -1323. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*g + 8, -3*j = -j. Let q(p) = 4 - g + p. Let i(v) = 10854*v + 10865*v - 21718*v. Give i(q(t)).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 9*a - 10. Let p be b(-7). Find the third derivative of c**4 + 4*c**p + c**2 - 3*c**4 + 2*c**4 wrt c.\nAnswer: 96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -818, 0.1, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.84 - -6.84. Which is the nearest to -2\/9? (a) 1\/3 (b) -2\/19 (c) 4 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ks when two letters picked without replacement from {x: 2, k: 3, s: 3, g: 9}.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-2) - 12*10\/(-20).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 5)*(5 - 5 - 5*n**2) - 2 + 2 - 2*n**2.\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 + -5 - 6) + -4 + 4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*x = 61*x + 1063 + 841. Put x, -2\/3, 150 in ascending order.\nAnswer: x, -2\/3, 150","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -396033 smaller than -396034?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 10.6. What is the smallest value in 1, -1\/9, n?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = z - 6. Suppose 0 = -k + 2*v + 8, z*v + 4 = -4*k - 12. Suppose k = 2*w - 4*w + 10. Calculate the greatest common divisor of w and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1469 - 3?\nAnswer: -146c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*(0 - 2\/(-10)). Let g = -4266.2 - -3911. Let m = g + 355. Which is the second smallest value? (a) 1 (b) j (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.7 + 6. Let c = 1.2 + -0.2. Let m = x + c. What is the third smallest value in 2\/13, m, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 19 + -106?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 42 = -n, 1818*n - 1821*n - 11*u = 154 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13937*a**2*h**3*v**2 + 39*a**2*h**3 + 4*a**2*v**2 - a**2*v - a*h**3*v wrt v?\nAnswer: -27874*a**2*h**3 + 8*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -1.3 and -106 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*g - 2*g - 25. What is the common denominator of 281\/36 + (30\/g)\/24 and 107\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-159.\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -98*m**2\/3 + 25279*m\/3 + 430.\nAnswer: -(m - 258)*(98*m + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1594321?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 + 2*f + 2. Let q = -44 - -46. Let s be (0 + 0)*q\/(-4). Let r be m(s). Solve -4*u = -12, 1 = 5*y + u - r for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00019041 to 6 dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 49\/(-4) + 2\/8. Let k = y + 7. Which is the nearest to -1\/2? (a) -0.1 (b) k (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94078.02 - -67263.7.\nAnswer: 161341.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -394 - -390.67. What is u rounded to zero decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-84)\/35 - 16\/(-90)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 817d (base 15) to base 10\nAnswer: 27343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 10852*x**3\/3 - 14*x**2 - x + 63. Let m be n(7). Round m to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*a + 2, -5*a = -5*v - 15. Let w = 25 + -26. Let h = 3 - 6. What is the smallest value in w, v, h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -2*p + 36. Solve -2*s - p = -3*i, s - 1 = -3*i + 8 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 30 = -24. Suppose q = u*q + 10. What is the closest to 1 in q, -4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 182 and 14504.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -101, -215, -345, -491, -653, -831, -1025?\n\"Answer: -8*p**2 - 90*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2e1 (base 15) in base 11?\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/9)\/(4\/60). Let n be (2\/y)\/(7\/(-5)). Is 1 != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dwddbwdwwqewdwqe. Give prob of sequence ddq.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3 - 11*s + 5*s + 5 wrt s.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -4 (b) -0.3 (c) 1 (d) 2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-6)*1\/(-4)*56514\/207218.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -35, -37, -41, -47, -55, -65?\n\"Answer: -n**2 + n - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1446428539\/190 - -7612828. Let x = m + -728\/19. Find the common denominator of x and (1\/(-8))\/(3\/(-10)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6197827 times 3\nAnswer: -18593481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o*o**(-2)\/o*o*o)**(-27)*o**7\/(o\/(o**(-4\/9)\/o)) assuming o is positive.\nAnswer: o**(-445\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 41091 divided by -3?\nAnswer: -13697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2. Let r(z) = -4*z**2 - z + 1. Let m(g) = 2*r(g) + 9*v(g). Let w = -6 - -9. What is the units digit of m(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21100301 + 4?\nAnswer: -21100242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29439?\nAnswer: 3, 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 + 3 - 7) + (-3 + -7 - 63).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -q**6\/2 - 12*q**5\/5 + 3*q**4\/2 + 8*q**3 - 3*q**2\/2 - 12*q - 775. Find s such that r(s) = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2186 is divided by 115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11211 - -1101201?\nAnswer: 1120112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 19. Is a at most as big as 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 433 = 5*m, 4*m + 2*c + 2*c - 348 = 0. Let v = -59 + m. What is the remainder when v is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 145 = 2*k, -k = 5*t + 3854 - 3921. Calculate the remainder when 428 is divided by k.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*o + 12436 = -5708. What is the smallest common multiple of 24 and o?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 883894.8 centuries?\nAnswer: 88389480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qcqq when four letters picked without replacement from rqhqqqrhqhqrqhcrqqrq?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -940 divided by 2\nAnswer: -470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence we when two letters picked without replacement from eeeweeee?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 5 - 11)*(0*v + v - 3*v)*(0 - 4 + 1).\nAnswer: 30*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3 + 8*m**2 + 4 + 3*m**3 - 3*m**2. Let y(b) = 2*b**3 + 2*b**2 + 3. Let q(w) = 2*d(w) - 5*y(w). What is the derivative of q(n) wrt n?\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.546175 millennia?\nAnswer: 54.6175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**3 - 4*u**3 - u**4 + 0*u**4 - 2*u**4 - u**4 + (-524*u**2 + 8655*u - 8655*u)*(u**2 + 4*u**2 - 3*u**2).\nAnswer: -1052*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*z = z - 24, 0 = u + z - 12. Let s(j) = 10*j - 7. Let i be s(7). Suppose u*m + i = 11*m. What is the greatest common factor of 14 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4056*g**4 - 9426*g**3 + 2559*g**2 - 159*g - 33. Let j(k) = -507*k**4 + 1178*k**3 - 320*k**2 + 20*k + 4. Let z(c) = -33*j(c) - 4*q(c). Factor z(l).\nAnswer: 3*l*(l - 2)*(13*l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3\/46 - 101\/138. Let p = -2.5 + 3. Which is the nearest to w? (a) -1 (b) 0 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 476 = -4*x, -t = 3*t. Factor -35*k - 27*k**3 + x*k**3 - 40*k - 84*k**2 + 67*k.\nAnswer: 4*k*(k - 1)*(23*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 4 (c) -0.5 (d) 12.1 (e) -76.5 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0)**30\/(c*c*(c\/(c**0\/c*c))\/c*c)**(-31))**29 assuming c is positive.\nAnswer: c**2697","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-692)\/(-24) - 2\/4. Let a = 163\/6 - d. Let g be (-20)\/24*(-6)\/(-15). Which is smaller: g or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -7*b - 4. Let x(n) = 4*n + 2. Let h(g) = 3*w(g) + 5*x(g). Let q = -10 - -5. Give h(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -238 - -52. Find the common denominator of -61\/3 and (3 - -1)*(h\/18 - -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**2 + 203*r + 4635. What is w(-36)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157533.\nAnswer: 3, 52511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 120 - 109. Let s = 3 - r. Which is the closest to -0.2? (a) -0.3 (b) s (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150566.\nAnswer: 2, 13, 5791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + 5*t - 30. Suppose -3*j = -t - 6. Suppose 0 = -2*x + 2*o + 68, -j*x - 3*o - o = -176. Is x a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 239, 658, 1371, 2390, 3727?\n\"Answer: 2*m**3 + 135*m**2 + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 4 - 8. Suppose -6*m + m + 9 = -d*t, 5*t = -m + 18. Determine h, given that 8 + 4*h + 38*h**2 - 4*h**m - 26*h**2 - 20 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1843610980 to the power of 1\/5, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6945106?\nAnswer: 2, 7, 496079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -647*p**5 + 2*p**4 - 5*p**2 + p - 1918.\nAnswer: -12940*p**3 + 24*p**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1006*s**4 + 32*s**2 - 2 wrt s.\nAnswer: 24144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 127721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 69.778353 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 610.6285cm?\nAnswer: 6106285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -14aab + 1037?\nAnswer: -13a74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 11406459.\nAnswer: 4\/11406459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/5 - (-2)\/5. Suppose -8 = 5*r + h, -2*r - 4*h + 6*h + g = 0. Is 8 a factor of 63\/3 + r\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 2*k**2 - 3*k + 3. Let j be q(-3). Let v be (-3)\/(-6) - 3\/6. Let f be (-3 - (-3 + v))\/2. Solve f = -4*b - s + 17, 5*s + j = -2*b - 2 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 129 - 128.8. Let h = 1 - -4. What is the third smallest value in h, s, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/717 and 17\/18?\nAnswer: 4302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 84584 > 84542?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 7*x + 23. Let f be ((-5)\/(-10) + 3)*2. Let s be o(f). Suppose -3*g = 12, 2*p + 5*g + 3 = -5. Solve -w - 5 = -5*d, -w = -p*w + d + s for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-11 - -2) - (3 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253 = -6*w + 5*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (47\/(-1692))\/((-3)\/(-9)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n = 12*n + 230*n + 4233 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 22795880.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8\/6449 - 315041\/773880. Let t = -8641\/276 - -768\/23. Calculate the common denominator of f and t.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257*g**3 - 137*g**3 - 135*g**3.\nAnswer: -15*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 66 = -q - 8, 5*q - 281 = l. Solve 7*b + q - 49 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*j + 19*p - 70 = -121*j, 2*j + 5*p - 16 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*x**5 - 2)*(6 - 3 - 2) + (5*x - x - 2*x)*(-x**4 + 2*x**4 + 0*x**4).\nAnswer: 4*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 27\/5 of a minute?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -1149623?\nAnswer: -229924.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12226 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*v**4 - 2905716*v**3 + 3874240*v**2 - 1291408*v.\nAnswer: 4*v*(v - 80713)*(3*v - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 275, 518, 761, 1004, 1247, 1490?\nAnswer: 1733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -1) + 0 + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.4 (b) 6 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1458*n - 54*n**2 + 3*n**3 - 1458*n.\nAnswer: 3*n**3 - 54*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (10\/(-25))\/(4\/(-220))?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 195888 and 8767472?\nAnswer: 5936","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8a3e04 + -1?\nAnswer: -8a3e05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 5*v - 48 = -2*d, 5*d = 4*v + 54. Let s = -1 + d. What are the prime factors of s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2261 and 317509?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44 (base 7) to base 13.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 1*(-24)\/(-3). Suppose 3*y + 5*m - 4 = 3, 2*m = -2*y + z. Suppose 0 = -5*c - 9 + 34. Solve -9 = -3*r + c*n + 21, -4*r + 8 = y*n for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h + 1 - 1. Let u(i) be the second derivative of -5*i**3\/6 - 8*i + 4. What is u(q(d))?\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -7\/6*b**3 + 0*b**2 + 12*b + 0. Let w(k) = -k**2. Determine w(r(i)).\nAnswer: -49*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m**2 + 29*m + 9. What are the prime factors of b(9)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (80\/(-2) - 0)*4\/(-8). Solve 18 - t = d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4947.94 meters in millimeters?\nAnswer: 4947940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of 20\/3*u**3 + 50*u**2 + 1\/3*u**4 + 0 + 3*u. Factor z(o).\nAnswer: 4*(o + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**16\/q*q**(-8)*q assuming q is positive.\nAnswer: q**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -15?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 59, 56, 43, 14, -37?\n\"Answer: -m**3 + m**2 + m + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 20 = 4*j, -a + 0*a + 4 = -4*j. Let z(w) be the second derivative of 0*w**3 - 1\/10*w**5 + 0*w**4 + 0 - w + 1\/15*w**6 + j*w**2. Factor z(g).\nAnswer: 2*g**3*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -y**5\/20 - y**4\/2 - 2*y**3\/3 + y**2 + 23*y. Let w be 1*(1 + 0) - 6. What is h(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 - 14 - 28 - (1 + -7 + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 10051130.\nAnswer: 20102260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*b - 4*b. Let c be b\/(-22)*4\/(-6). What is the third smallest value in -1\/4, c, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.38597 kilograms to micrograms.\nAnswer: 35385970000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1152 - 1152.623. What is i rounded to two decimal places?\nAnswer: -0.62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22060, 88223, 198494, 352873, 551360, 793955, 1080658?\nAnswer: 1411469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {n: 4, q: 3, d: 1, k: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -4*v - 37, -l + 0*l - 4*v - 9 = 0. Which is smaller: 9 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2. Let l(r) = -15*r + 952 + r**2 - 952. Determine l(b(i)).\nAnswer: i**4 - 15*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 15) to base 6\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1639436?\nAnswer: 2, 61, 6719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -y**5\/20 - y**4\/12 + 2*y. Let x be -2*(-2 + (-1)\/1). Let i(o) = -7*o**3 - 7*o**2 - 2. Calculate x*k(f) - i(f).\nAnswer: f**3 + f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 44*l = 0. Solve l = 3*g + 2*g + 15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 1.01. Let c = -1.19 + 1.6. Let u = c + r. What is the closest to -1 in -5, u, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 9) in base 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*s - 3*w, 8*w = 2*s + 4*w - 26. Suppose 8*y + 995 = s*y. List the prime factors of y.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**4\/7 - 7472*u**3\/7 + 37426*u**2\/7 + 59832*u\/7 - 89784\/7 = 0. Calculate u.\nAnswer: -3741, -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2378 or -3242?\nAnswer: -3242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 z when four letters picked without replacement from zuzzzuu?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 380 a factor of 18131749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 11:17 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 359*f**2 + f - 2. Let r be t(-2). Suppose 5*h - r = -437. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4543 + 4543 - 14*u**2.\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8596 + -8509.69. Let h = -87 + x. What is h rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + (sqrt(2299)*-1 - sqrt(19)))**2 - (sqrt(19) + (sqrt(304)*1 - sqrt(19))).\nAnswer: -4*sqrt(19) + 2299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8746 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: Solve 4*n = 4*f - 4, -f - 2*f + 5*n = -5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2710 and 3730.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + o = 46, -7*p + 2*o + 34 = -3*p. Suppose 2*j - 16 = 5*c, 0 = -5*j + 3*c - 0*c + 21. Calculate the remainder when p is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*o**5 - 20*o**2 - 10*o**5 + 6*o**5 wrt o.\nAnswer: 300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.153 * 0.2\nAnswer: -0.0306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7205538 (base 10) to base 16.\nAnswer: -6df2a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 12:28 AM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 117.\nAnswer: -7\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -8*r + 89. Let a be (10\/4)\/((-1)\/(-14)). What is the highest common factor of a and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 - 217 = -5*c. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 13 - 10*o**2)*(5*o**2 - 5*o**2 - o**2) + (5*o - 2*o - 2*o)*(-o**3 - 2 + 2) - 11*o**4 + 3*o**4 + 2*o**4.\nAnswer: 3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -154 - -136 - (-85 - -29)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39801, 81419, 123037, 164655, 206273?\nAnswer: 247891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8 - -7) + 5 + 0. Find the first derivative of 10*n**4 - 16*n**4 - 5 + 7*n**p wrt n.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f - 19*f = 7. Let d = 1 - -3. Let y = d - 2. Solve y*o = -5*g - 6, -4*o = f*g - 3*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3 + 12 = 4*m, -12 = m + 5*f. Suppose 0 = -5*a + 6 - 1. Let l be 0\/((-3)\/(-6) - 10\/(-4)). Sort a, m, l in descending order.\nAnswer: m, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 493*u = 4*i + 488*u, 11 = i - 4*u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 735064276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3, 69, 245, 585, 1143, 1973, 3129, 4665?\n\"Answer: 9*m**3 + m**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a**3 - 3*a**2 + 3*a + 4. Let z be p(4). Suppose z = 5*x + 5*c, 0 = x - 5*c - 1 - 7. Is x a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 6*p + 4*p + p + (1 + 0 + 0)*(1 - 1 - 2*p) as t*p + c and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 462902\/35 > 13226?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(1\/74)*w*(w*w*w**(-42))\/w assuming w is positive.\nAnswer: w**(-2885\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t = 5*h + t - 3, 0 = -3*h - 2*t + 6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13162 or 13163?\nAnswer: 13163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 387082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 - -26. Suppose l*i + 0*i = 99. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 15 = 4*t. Let h(o) = o**2 + 21*o + 23. Let p be h(t). Let f = -57 - p. Is f a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 224.1 (b) -1\/2 (c) 4 (d) -1\/1170\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-459)\/45 - -1)\/(-2)*-5?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0110267358 rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 474128.3 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.0884085 decades?\nAnswer: 0.884085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4 - 21*z**3 - 97*z**2 - 75*z.\nAnswer: z*(z - 25)*(z + 1)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h**2 - 14*h - 13. Determine y(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97, 194, 291, 388, 485?\nAnswer: 582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t**3 - 29*t**2 - 5*t - 1. Let f be i(-7). Let z be ((-1)\/(-3))\/(1\/f)*-1. Which is the nearest to -2? (a) -0.05 (b) -1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + 0. Let u = n + -8. Suppose -3*m + 18 = 5*s, m - 10 = 3*m - 4*s. What is the closest to m in 1, u, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.2, 4\/9, 5366?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*sqrt(2499))\/(sqrt(36)\/(4*sqrt(48))).\nAnswer: 168*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36716349.\nAnswer: 3, 23, 29, 59, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d**2*l*n + d**2*n**3 + 4*d**2*n + 9*l*n**3 + 7*l*n with respect to l.\nAnswer: -2*d**2*n + 9*n**3 + 7*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 93682 = -5*t, -4*r = 12*t - 10*t - 124918. List the prime factors of r.\nAnswer: 11, 17, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -r**6\/60 + r**5\/20 + r**4\/3 - r**3\/2 + 9*r**2 - 2*r. What is v(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/54 and 119\/78522462?\nAnswer: 235567386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 360, 359, 358?\n\"Answer: -n + 361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 h when two letters picked without replacement from dchddvdcdhdhdhvhdddh.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s + 1. Let x(v) = 2*v - 7. Let h(w) = 6*f(w) + x(w). What is the remainder when 3 + 27 + 2 + 0 is divided by h(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, l: 6}. What is prob of picking 2 l and 2 a?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -10143*z - 344817. What is s(-34)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28692070 divided by 26323.\nAnswer: 1090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 12:34 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*x - 968 + 2792 = 0. Which is the closest to -2? (a) 0.3 (b) 4\/7 (c) 3 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qkk when three letters picked without replacement from {d: 2, k: 2, z: 1, q: 1, w: 1, h: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - 0.2. Which is the closest to -4? (a) 0.4 (b) -1\/5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 448*k + 2201. Give t(-5).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -22\/7085, 52?\nAnswer: -22\/7085","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 2. Suppose -2*t + 0*g = 3*g - u, 6 = -2*g. Let p = 8 + t. Calculate the highest common factor of p and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of h**5\/30 - h**4\/24 + h**3\/6 + 2*h**2. Let q be j(3). Let n = q - -2. Is 9 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/25)\/(s*(s*s*s**(-1\/13)*s)\/s))**(-1) assuming s is positive.\nAnswer: s**(976\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n**2 + 21*n - 29. Calculate q(2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11248950*d**3 + 22497863*d**3 - 11248962*d**3.\nAnswer: -49*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 645210502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x - 5*b + 8, 4*x = -16*b + 12*b - 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 32*v**2. Let p(n) = -2465*n**2. Let u(a) = 3*p(a) + 232*z(a). Let r(h) = h**2. Calculate u(r(s)).\nAnswer: 29*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1401, 1411, 1433, 1473, 1537, 1631, 1761?\n\"Answer: z**3 + 3*z + 1397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3792)\/60)\/(4\/10). Round j to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.03, -2, 4, -84712?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c = -4*c - 200. Solve 0 = -25*v + 21*v - c for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.05 times 4.735\nAnswer: 28.64675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -8*l**2 + 54*l - 245. Give d(5).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-127 + 160 + -75)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 0*y**2 - 2\/3*y**6 + 25 - 16\/3*y**3 + 12\/5*y**5 + 0*y**4 + 0*y. Factor l(n).\nAnswer: -4*n**2*(n - 2)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36458610 rounded to the nearest 10000?\nAnswer: -36460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4*x = -14230, 8*c - 3*x = -5*x + 22810. Does 91 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -73*z**3 - 101*z**3 + 142*z**3 + (-2 + 3*z + 2)*(8*z**2 - 36*z**2 - 3*z**2) + z**3 + 0*z**3 - 3*z**3 in the form i*z**2 + r*z + v + p*z**3 and give p.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of 0*s - 19*s**2 + 0 + 1\/30*s**5 + 2\/3*s**3 - 1\/3*s**4. Calculate the remainder when 48 is divided by v(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 198 and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of p - 1\/3*p**3 + 0*p**2 - 3 + 5\/4*p**4. What is the remainder when v(1) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from 24422051.\nAnswer: 24422056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 12*y**3 - 2*y**2 - 16*y + 3. Let k(g) = -41*g**3 + 7*g**2 + 49*g - 10. Give 2*k(w) + 7*u(w).\nAnswer: 2*w**3 - 14*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o\/((o\/(o\/(o*o\/((o**38\/o)\/o)*o)))\/o))\/o)\/o)\/o*o*o)\/o*((o**(14\/11)\/o)\/o)\/o assuming o is positive.\nAnswer: o**(355\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 8 + 4*v - 5 + 16*v**2 - 2*v + 33. Let m(w) = w. Determine o(m(r)).\nAnswer: 32*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*u + 4 - 18 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 3:44 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-186)\/31 + (-35)\/(-4))*4?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 16, -4*y + 60 = w + 2*w. Let r be 16\/y*15\/10. Solve r*j = 5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -baf21 - 2e?\nAnswer: -baf4f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 8:30 AM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6, -28, -72, -144, -250?\n\"Answer: -t**3 - 5*t**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(42) - -2*2*sqrt(42))\/(sqrt(18)\/(sqrt(18)\/sqrt(6)) - (sqrt(6) + (sqrt(384)*1 + sqrt(384) - sqrt(384)) + sqrt(384))).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1635900 rounded to the nearest 10000?\nAnswer: 1640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57675, -57497, -57315, -57129, -56939, -56745?\nAnswer: -56547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*r - 1245 + 1224. Which is the biggest value? (a) -4 (b) r (c) -0.4 (d) -1\/285\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u - 359 + 205 + 154.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -128.8, 0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -4*t - 7. Let d(o) = -o**2 + 19*o. Let y(p) = 17*p - 227. What is the remainder when d(t) is divided by y(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -408985 + 408985 - 1269*w**2 - 8557*w**2 as s*w**2 + f + t*w and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4\/35 + -2\/7. Which is the nearest to 0.4? (a) u (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*k + 14*k - 4*w + 28, -4*k + 126 = 2*w. Let p = 27 + -16. What is the remainder when k is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -17. Let r(k) = k - 72*k**y + 32*k**3 - 109*k**3 - 2*k**2 - 2*k. What are the prime factors of r(-1)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 908.9506 days to hours.\nAnswer: 21814.8144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of k**5\/30 + 26*k**2. Let m(b) be the first derivative of -7*b**3 - 1. Give m(l(y)).\nAnswer: -84*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*z - 4*z - z + (-2 + 1 + 3)*(19883 - 19883 + 761*z)*(-3 + 0 + 4)*(-1 + 3 - 4) in the form d*z + t and give d.\nAnswer: -3045","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 s when three letters picked without replacement from {v: 2, s: 11, n: 2}.\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -p + 2*u, -5*p + 0*u - 3*u = 16. Let s(l) = -8*l**2 - 2*l - 3. Give s(p).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -121 - 166*n**2 - 24*n**4 + 146*n - 410*n + 23*n**4 - 24*n**3 = 0. Calculate n.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - -4. Suppose -8*a + 2 = -6*a. Suppose t + g = a - 10, 3*t = -2*g - z. Let l(r) = -r**2 - 3*r + 6. What is l(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 959661 less than -0.9?\nAnswer: -959661.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 3:17 PM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1399493.3 rounded to the nearest 10000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 23 - -8761?\nAnswer: 8784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*204\/210 - (-8)\/14. Which is the fourth smallest value? (a) 3\/8 (b) -4 (c) u (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 120? (a) 0.8 (b) -11 (c) -0.0674\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 1)\/((-56)\/(-28)). Let z be ((-8)\/(-2))\/(a - 4\/4). Is 13 a factor of (5 + z\/3)\/((-1)\/(-78))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 426\/((-81792)\/(-8880)) + (-44 - 2)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -2752\/823?\nAnswer: -2752\/823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2\/2 + 183412175*j + 122274783\/2.\nAnswer: (j + 122274783)*(3*j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3102416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 40 + 30. Let o(j) = -4*j. Suppose -33 = 4*u - 5*r, 0*u + u = r - 7. What is the remainder when t is divided by o(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1886830 is divided by 18312.\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 + 27. Let h be 58\/10 - (-1)\/5. Suppose k + 5*n + h - 23 = 0, 0 = -5*k - n - 11. What is the third smallest value in 1\/4, k, f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -803, -800, -799, -800, -803, -808, -815?\nAnswer: -824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 123994 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -k**3\/3 + 5422*k**2\/3 - 50313*k - 167214 = 0?\nAnswer: -3, 31, 5394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 837*k + 837*k + 413*k**2 - 521*k**2.\nAnswer: -108*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -46546506 divided by -3?\nAnswer: 15515502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59743\/22 + 2718. What is the common denominator of -89\/6 and x?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-195))\/(3\/(-9)*2).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 286*m + 4 + 90*m - 1 + 46*m - 6 to h + n*m and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + b. Let m(z) = -4*z**2 - 5*z. Let j(w) = 10*f(w) + 2*m(w). Let p(i) be the third derivative of i**5\/30 + 5*i**2 + 2. Give j(p(r)).\nAnswer: 8*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5165)\/(-13429))\/(350\/1560)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 2*r**2 - 2*r + 1. Let f be w(-3). Let z be (f - 0) + 25\/5. Solve 2*c + 3*h + 6 = 0, z*h + 0 + 6 = -5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -433*s - 431*s + 1280*s - 436*s.\nAnswer: -20*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51) - sqrt(459))\/sqrt(3) + 0.\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**4 + 155*b**3 - 2850*b**2 + 13140*b - 16200.\nAnswer: 5*(b - 6)**2*(b - 2)*(b + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4424947 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4*l + 40 = 0, -3 = -2*k + 3*l + 2. Calculate the lowest common multiple of k and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126426634 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1156*y - 1138*y + 2287*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5365123.\nAnswer: 293, 18311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 22*y = -96. Solve 0*n + n + 4*g = -7, 3*g + y = 2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1051 - 1050. What is the closest to g in 0.3, -11.51, 0.4, -2\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -428 + 17123\/40. Find the common denominator of i and -83\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -13*v**3 + 9*v**2 + 13*v + 4. Let w(y) = 24*y**3 - 17*y**2 - 24*y - 7. Let a(r) = -11*n(r) - 6*w(r). Determine a(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 2*w = 5*a - 12, -2*a + 2 = -2*w. Find the common denominator of -75\/16 and a + (-1 - 327\/(-30)).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, m: 2, x: 6, j: 1}. What is prob of sequence mjx?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and 858514.\nAnswer: 858513.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-10))\/(1466\/(-7330)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1899592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11145 + 11138. Let l be 0\/(-1) + 4\/2. Sort m, l, -2 in decreasing order.\nAnswer: l, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 78753, 157509, 236265, 315021, 393777?\n\"Answer: 78756*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 177980, 178399, 178810, 179207, 179584, 179935?\nAnswer: 180254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64.9 + 64.89999559. Round w to 7 dps.\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 30 = -10. Let s(z) = z**2 + 10*z + 5. Let d be s(-10). Suppose d = g*u - 35. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1296)\/(-4536))\/((-6)\/14)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85790*1.4.\nAnswer: 120106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 12 - 12. Suppose 0*x = 2*x - j. Suppose 0*p - p - 1 = -f, -8 = -x*f + 3*p. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 220.10461 + -0.37461. Let v = -3.73 + u. Let b = -187.2 + v. Round b to the nearest integer.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 n when two letters picked without replacement from {p: 8, n: 3}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 81\/15 - (-2)\/(-5). Suppose y*u = -x - 89, 4*u + 5*x + 73 + 15 = 0. Let q = -6 - u. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 92, 171, 280, 419?\nAnswer: 588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -23. What is the third derivative of 9*q**6 - g*q**6 + 13*q**6 - 11*q**2 wrt q?\nAnswer: 1080*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m + 6 = 3*m, -m + 3*m = t - m for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**33*t*t**(-34)\/t)**(1\/45) assuming t is positive.\nAnswer: t**(-22\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 w, and 1 m when three letters picked without replacement from bnaubunuwammub?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2622*y - 2652*y + 420 = 0 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1523718 by 2.\nAnswer: -761859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 620 + (0 - 1 - -3). Let d = q - 251. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4354*g + 334 = -4356*g + 68*p, -7*p + 44 = 3*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + 0*p + 0*p)*(1 - 2 + 3)*(-2*p**3 - p**3 - p**3)*(-6 + 1 + 3).\nAnswer: 16*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.13, 2\/9, -1.8, 0, 1\/23, -5 in ascending order.\nAnswer: -5, -1.8, 0, 1\/23, 0.13, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8850.\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 5 (c) 0.1 (d) 25\/6 (e) 8\/1515 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13929.\nAnswer: 3, 4643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -6*w + 2*c + 37, c = 2*w - 15. Suppose -3*j + 4*j = w. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/4 + 811*j\/8 + 2015\/8.\nAnswer: (j + 403)*(2*j + 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 divided by 82402?\nAnswer: -25\/41201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.12 in 8, 6, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) 3 (c) 517\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 + 141 + 202)*(1 + 1 + 0 + 3 - 4 + 3 + (-5 + 2 + 4)*(0 + 0 - 2))*(4 + 2*l - 4).\nAnswer: 1460*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.3 - -7.2. What is the third smallest value in y, -4, 0.9, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 133834*o + 147085 with respect to o.\nAnswer: 133834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -203?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 247440 divided by 15\nAnswer: 16496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 7:44 AM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 750.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 7 - 43*x**2 - x**2 - 9.\nAnswer: -44*x**2 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 485302?\nAnswer: 2, 167, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -82 divided by 1\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01182508486 rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 143 - -85. What is the greatest common divisor of 36 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4505, -2638, 2441, 12340, 28667, 53030, 87037, 132296?\nAnswer: 190415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 91*w**2 - 1089*w - 121. Give v(14).\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1147386?\nAnswer: 2, 3, 191231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 78.07 - 78. Which is the biggest value? (a) -0.05 (b) -5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-7))**28*q*((q\/(q\/((q\/q**(-2\/35)*q)\/q)*q))\/q)\/q*q*q**(-2\/35)*q)**(16\/3) assuming q is positive.\nAnswer: q**(-1040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44 + -44)\/(7\/((-35)\/10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of t**4\/4 - 2*t**3 - 7*t**2\/2 - 6*t + 7. Give f(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 238488 (base 10) to base 2\nAnswer: 111010001110011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 82*d - 2120 = 312 for d.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -328, -655, -972, -1273, -1552?\nAnswer: -1803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-15)\/w)\/w)\/(w*w*(w\/(w**(-3\/13)*w))\/w*w)*(w\/w**(-4\/9)*w)**2 assuming w is positive.\nAnswer: w**(-1678\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280 = 20*k - 28*k. What is the lowest common multiple of k and 56?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -475*o - 640 = -1066 - 999. What is g in 3\/8*g**4 + 3\/2*g**o + 9\/8*g**2 + 0 + 0*g = 0?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34926323 or -34926319?\nAnswer: -34926319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120210 (base 3) to base 13.\nAnswer: -26a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a4 + -367?\nAnswer: -43b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6\/8075 + 11899\/32300. Find the common denominator of z and 15\/8.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6123)\/(-143) + (-2)\/(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f = -13*f. Let u(q) be the first derivative of -2*q + 4*q**3 + f*q**2 - 1 - 4*q**4 + 6\/5*q**5. Factor u(s).\nAnswer: 2*(s - 1)**3*(3*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001497327696 rounded to five decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 5*z + 24 = -b, 0 = -3*b + 2*z + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2193 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5302 + 78*z**3 + 2670 + 2632.\nAnswer: 78*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.11 - -0.11. Let k = 5.000016 + h. Let y = 0 + k. What is y rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*k**2 + 254*k**2 - 125*k**2.\nAnswer: -57*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (7*(-36)\/378)\/(28\/30)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -951 + 1170. Solve -19*a - p = -86 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96\/160 - 8964\/(-1210) - (-17 - (-38 - -13))?\nAnswer: 1\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.8 + 5.8. Which is the nearest to -6? (a) t (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 5:46 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - (3 - 8206)) + -3. What is g rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, h: 8}. Give prob of picking 2 m.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 135861.0446 to the nearest ten.\nAnswer: 135860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1048, -4341, -9878, -17659, -27684?\nAnswer: -39953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 276 + 335. Calculate the greatest common divisor of m and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/((9\/27)\/(3*7\/(-126)))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 528523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-8 + ((3 - 2) + -3 - (12 + -14)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by 1?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 0.5, 0.3, -1, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1459009 to the power of 1\/3, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0089 and -1.2.\nAnswer: -0.01068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -77 - -119. Suppose 5*q - x = 3. Solve -2*o = 2*o - 4*y - 12, -2*y - q = -3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -12659, -12672, -12691, -12716?\n\"Answer: -3*q**2 - 4*q - 12652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -48*o**2 + 3*o - 129. Let k(r) = -143*r**2 + 8*r - 385. Let f = 344 + -347. Let z(q) = f*k(q) + 8*c(q). Differentiate z(l) with respect to l.\nAnswer: 90*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1308141 is divided by 61?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -13*x**2. Let s(l) = -l**2 + 465*l. What is s(k(u))?\nAnswer: -169*u**4 - 6045*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2906358 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 0*o = -0*o. Solve 5 + o = m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1792937*h*u**2 + 300490*h*u - 2 wrt u?\nAnswer: -3585874*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140198078.\nAnswer: 2, 70099039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008189904572 rounded to seven dps?\nAnswer: 0.0000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1152 and 608?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + -945546146191.\nAnswer: -945546146203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/8 (b) -224\/5 (c) -0.5 (d) -2 (e) -3\/7 (f) -2.71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 1:22 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -146 - -149. Solve -5*r = 5, 5*r - r = v*z + 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27711 (base 8) to base 11.\nAnswer: 9211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85937.\nAnswer: 19, 4523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23884993 to the nearest integer?\nAnswer: 4887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*b - 8 = -6*b, -2*h + 5*b - 23 = 0. Let z(s) = 194*s - 5. Does 9 divide z(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12.64 - -13.2. Let g = w + -0.6. Let c = 0.9 - -0.1. Which is smaller: g or c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*d*x**6 - 2*d*x - d + 3*x**6 + 28*x**3 + x**2 + 40*x wrt x.\nAnswer: 1680*d*x**3 + 360*x**3 + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 5 (b) -69\/4 (c) 1 (d) -472\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1592865 is divided by 5009.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/(((-18)\/(-9)*-7)\/4)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1858\/15*j**2 - 2\/15*j**4 + 928\/15*j + 932\/15*j**3 + 0.\nAnswer: -2*j*(j - 464)*(j - 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3072 and 118464.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (0 + 4) - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160\/(-800)*(-70)\/(-6)*4581\/(-1)?\nAnswer: 3, 7, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.69 + 1.8. Let p = -4.89 - l. Let v be (24\/84)\/((-24)\/(-14)). What is the nearest to 2\/11 in 0.5, v, p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -54 + 57. Suppose -2*m = 4*g - 78, r*m - 61 = -4*g + 58. What is the remainder when m is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -48*v**3 - 10369*v**2 - 220*v - 870. Give h(-216).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8.51793382 and -18.9?\nAnswer: 10.38206618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 59*s**2 - 597*s - 6. What is w(-46)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -213 - -227. Solve 3 = 5*i - d - 3*d, 0 = -4*i - 5*d - s for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -5*y. Suppose y*q + q - 36 = 0. Let j = 65 - q. List the prime factors of j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -12 + 7 + 11 + -6?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20789 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1417485 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2 + (4*(0 + sqrt(11)) - ((sqrt(176) - sqrt(176)*-1)**2 + sqrt(11))) + -3)*1.\nAnswer: -714 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 10101110001110000000111?\nAnswer: -10101110001110000000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4366 or -4384?\nAnswer: -4384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1425 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 122400 (base 7) to base 10\nAnswer: 22491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 6 = 2*p - 2*a, 0 = 3*a. Suppose -4*t + p = -9. Suppose -q + 6 + 90 = 4*b, q = 0. Calculate the greatest common factor of t and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 - 32. Solve -2*k - 23 = -3*h, -b*k = 4*h - 6 - 2 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50 - 5. Let b = -56 - g. Let s = b - 56. Which is greater: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -243243\/40 - -6083. Let u = -3219 + 160881\/50. Find the common denominator of u and y.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204920953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2242490 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2030*h**2 - 676*h**2 - 681*h**2 - 679*h**2.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8247\/8920 + -1\/2230. Calculate the common denominator of b and 7\/32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -116004432 divided by -24?\nAnswer: 4833518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1169 - 67. Suppose 11818 = 19*m + d. Does 47 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/((g\/(g*g*g**(-10)\/g))\/g*g))*g)\/(g**(-5)*g))\/(g*g**(-1\/5)*g)**(-2\/27) assuming g is positive.\nAnswer: g**(227\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 440*c - 448*c = -20232. List the prime factors of c.\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = -0*f + 12. Suppose f*k - 116 = -2*n, n - 5*k - 18 = 16. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + o + 11 = 4, -5*o = 3*i - 13 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 less than -2373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-5)*170\/476. What is the biggest value in 1\/12, -5, g, -2?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(8 + -5) - 81532\/(-4). Round y to the nearest 1000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -399 (b) 3 (c) 4 (d) 126 (e) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 38.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2*t = h - 18, 4*t - 42 = h. Let d = -6 + 22. Let o = d - t. Solve 15 = -s + o*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -173956, -695985, -1566026, -2784079, -4350144?\n\"Answer: -174006*f**2 - 11*f + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 2:39 AM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**3 - 27*x**2 + 13*x - 10. Let c be f(-14). Factor 75*k**2 + 45*k + 5*k**c + 257 - 257 + 35*k**3.\nAnswer: 5*k*(k + 1)*(k + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17221*c**2*q**3 + 29*c**2 - c*q**3 + 791*q wrt q.\nAnswer: -103326*c**2*q - 6*c*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s**2 + 700*s - 700*s.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**2 - 8436*o + 8895762 = 0.\nAnswer: 2109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-2 - -4)) + (-57 + 27 - -12)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.82 - -0.18. What is the closest to n in 4, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 2*b + 4. Let q be -1 - -3*4\/b. List the prime factors of 22 + (-2)\/(q\/6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 7*t - 3*t)*(-1 - 1 + 4)*((-4*t + 0*t + 2*t)*(1 + 0 - 2) + t + 4*t + 1 - 3*t).\nAnswer: 48*t**2 + 12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -2*s + 225, 13 - 3 = 2*s. Calculate the remainder when j is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -13. Let k be -3 + -2 + 4 + -3. Which is the nearest to r? (a) 3 (b) 0 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*m**2*r**3 + 6*m**2*r - 1099*m**2 wrt r.\nAnswer: 18*m**2*r**2 + 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d**3 - 3*d + 2. Let a be r(1). Let c(t) = -6 - 3 - 2*t**3 + t**a + 5*t + 5*t**2. What is the smallest common multiple of 33 and c(4)?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 7*i**3 + i**2 + i - 1. Suppose 0 = -4*w - 3*x + 3, 5*x = -5*w + x + 3. Suppose 12*z - 15 = -w*z. What is v(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -56*c**2 + 50*c**2 + 4 + 8. Let a(s) = -2*s**2. Give v(a(r)).\nAnswer: -24*r**4 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 96.8 + -1.8. Let j = b - 94. Which is smaller: 35\/2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 313 + -311 + -6*2. Let f(g) = 66*g**3 - g**2 + g - 1. Let b be f(-2). Is (36\/o + 3)*b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -35*s**3 - 4*s**2 + 23*s - 17. Is j(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 8 = -2*x, -23*f - 7*x + 10 = -24*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s**2 - 2*s**2 + 31*s**2 - 6*s**2.\nAnswer: 30*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 10) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -6022?\nAnswer: -5\/6022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-17 + 2)\/3 + 26\/26. Put r, 0, -7 in increasing order.\nAnswer: -7, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29824*x**2 + 29825*x**2 + 15 + 28.\nAnswer: x**2 + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 14 = q, 15*i - 4*q = 10*i + 12. Solve -3*z + 3*a = 3, i*z = a - 1 + 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49 + -45. Suppose 5*c = 4*c + 2*t, -5*c - 18 = -u*t. Which is greater: -31\/5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 686202857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20418649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/80 and 167\/30?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 13. Let x = r - 0.2. What is the second biggest value in x, -3, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1928\/5 or -386?\nAnswer: -1928\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19044.99900125 - 19045. Round l to five dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**8*o)\/o)\/o**(-1\/8)*(o**(-1)*o)**(-2\/23) assuming o is positive.\nAnswer: o**(73\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 8*x = -25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8529 or -160?\nAnswer: -160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s + 1. Let i be h(-1). Suppose -2*t + 0 = -8. Let j = 12 + -8. Solve -j + i = t*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -532.381 plus -0.13?\nAnswer: -532.511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - j = u - 3, -3*j = 3*u + 9. Let z be ((-52)\/(-78))\/((-1)\/(-12)). Let 7*h**2 - 5*h**3 - z*h - 2*h + 15*h**2 - 7*h**u = 0. Calculate h.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 5 = -t, 9*v + 35 - 6 = -t + 24 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-3))\/(7\/(-3)). Let k(t) = t**2 + 25*t + 83. Let m be k(-21). Which is the second smallest value? (a) -2 (b) p (c) m (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + -257052832380?\nAnswer: -257052832379.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -888*u + 12368 - 887*u - 881*u + 2658*u in the form b + c*u and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26894 - 57141 = 1043*x for x.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5387811*n - 106904459 wrt n.\nAnswer: 5387811","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-6 - (2 - 2) - -8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in two sevenths of a week?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47333 is divided by 511?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -221824 divided by -62.\nAnswer: 110912\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -5. Let j be (-5 - -11)\/(75\/10). What is the nearest to -1 in j, w, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - w - 3*c = -10, -3*c = -5*w - 2. Solve -f - 18 = -6*f - 4*z, -3*f - w = -4*z for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -2. Suppose 14*l - 3 = 13*l. Which is smaller: i or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/21*(-7)\/19.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.77 - -4.77. Let s = -2\/5 + 13\/20. Which is the nearest to s? (a) 0.3 (b) 0 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/6 + (-3)\/(-6) + 2. Solve c*q + 4*t = -0*q - 24, 4*t = -16 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 1 - 5 = 0, -36 = -2*k - v. Calculate the remainder when k is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = -4*m + 92. Suppose 0 = -m*a - o - 5 - 5, -8 = -4*o. What is the biggest value in a, 10, 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*-2*((-198)\/4 - -1). Suppose -4*h = -5*y - 207, -4*y = -4*h + q + 10. Is h a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 98 = -4*o, -2*o = -3*x + 2*x + 65. Suppose -u + x + 84 = 0. Is 15 a factor of 1\/2 + u\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*t = -117*t + 4*r + 5, r + 17 = 5*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70 and 160.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8994904 at least 8994905?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, w: 6, j: 4}. Give prob of sequence wkw.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 33310926 a multiple of 402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/19855 and -53\/1000450.\nAnswer: 361162450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 634.8783 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of 0 - 1\/12*h**4 + h + 1\/6*h**3 + 3\/2*h**2. Calculate v(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.461253 weeks in days?\nAnswer: 52.228771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**2*z**3 + 31*a**2*z**2 + 47*a*z**3 wrt a?\nAnswer: -4*z**3 + 62*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -382 divided by 1.\nAnswer: -382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0 (b) 1 (c) 118\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-1202262.\nAnswer: 2404524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4238384 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(931) - sqrt(931)*2*4 - (sqrt(931) - (-1*(-1*sqrt(931) - sqrt(931)) - sqrt(931))))**2.\nAnswer: 45620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1371 + -1369. What is z in -g*z + 0*z**3 + 2 - 27\/2*z**2 + 27\/2*z**4 = 0?\nAnswer: -2\/3, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 l, 1 f, and 1 r when four letters picked without replacement from {f: 5, z: 3, l: 4, g: 1, r: 1}?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.16153 to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -910 - 20361824?\nAnswer: -20362734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqvvhvwihvhhhavi. Give prob of sequence hh.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i - 4*i - 3*i + i + (-2*i - 3*i - 6*i)*(2 + 3 - 6) + 0 + i + 0.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 142097397 a multiple of 415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i - 4. Let o be m(7). Suppose -8 = -n + 2*r, n + r - o = 4*r. Factor -2*x - 6*x**2 + 3*x + 3 - n*x + 0*x**2.\nAnswer: -3*(x + 1)*(2*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 11:23 PM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*y + 20 = 0. Let m be (30\/(-4))\/(10\/y). What is the tens digit of 63\/(-5)*50\/m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287*d + 12 = -293*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/(-1053))\/((-20)\/(-15))?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 2 + 19)*(0*k + 0*k - k**4).\nAnswer: -31*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = f - 7, 3*f - 4*f = -5*u + 7. Solve 2*i + 20 = -u*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 15 = -0*o. Calculate the remainder when o is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18 - -1672?\nAnswer: 168a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 68 (b) 1 (c) 10 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 247967719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3523 - -3523. Solve -35*b + 65 - 275 = w for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 12*f - 2. Let g(u) = -u - 1. Let i(c) = -3*g(c) + r(c). Let m be i(2). Let h be m\/11 - (-4)\/22. Calculate the highest common divisor of 6 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11352, -45455, -102294, -181869?\n\"Answer: -11368*f**2 + f + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -601, -609, -621, -637, -657, -681?\nAnswer: -709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 248.80392 months in millennia?\nAnswer: 0.02073366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132 + 154*v - 438*v + 132 - 363*v.\nAnswer: -647*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 39\/15 + (-3)\/5. Suppose -m*d - d + 57 = 0. What is the greatest common factor of d and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -392 - -478. Suppose 21 = 65*r + o. Which is the nearest to 0.27? (a) r (b) -0.1 (c) -0.3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + h**2 - 2*h + 2. Let u(f) = 10*f**3 - 4*f**2 + 17*f - 6. Give 3*d(x) + u(x).\nAnswer: 13*x**3 - x**2 + 11*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 149217971 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) - (-2 + sqrt(325))) + 5)**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -98 - -102. What is the smallest common multiple of 9 and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 10:18 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9974778, -19949553, -29924328, -39899103, -49873878, -59848653?\n\"Answer: -9974775*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -259 - -460. Suppose 0 = -4*x + 5*k - 393, -5*x - h - 269 = -2*k. Calculate the common denominator of -1 - 0 - x\/(-8) and -32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/5 - (-5 + -1). Let b(h) = 19*h + 79. Let p be b(-4). Solve -3*v - n = -p, 5*v - n = -0*v + a for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3316*q**3 + 13446*q?\nAnswer: -19896*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-11572)\/8)\/(-1 - 16804\/(-16800)). Round k to the nearest 10000.\nAnswer: -6080000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**5 + 4*i**4 - 148*i**3 - 16*i**2 + 3010*i - 4900 = 0. Calculate i.\nAnswer: -7, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -638 - -637.95. What is the closest to q in 0.05, -0.3, 1\/7?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9890?\nAnswer: 2, 5, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - 16. Let j = 216 - v. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 92.9 in 1\/5, -5\/47, -0.3, 0.18?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/(-5) - 0\/1. Let h(l) = -2*l**2 - l**3 + 42*l + 2 - n*l**2 - 43*l. Let k(t) = -2*t + 7. Let q be k(6). Determine h(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jyhjyyjjyyyyhjhhyyyj. What is prob of picking 1 j and 1 y?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 3*z)*(-29 - z**4 - 131*z - 14 + 44).\nAnswer: 3*z**5 + 393*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 16*x**2 + 91*x - 3386. Give o(-25).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (2 + 7 - -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - 13. Let w = -0.24 + 0.24. Let u = w - i. What is the second biggest value in 0.2, -3\/5, u?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4*r - 1770 = 0. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3506*q = -3547*q + 7180*q - 5461 for q.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55*0.14.\nAnswer: -7.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49 and 100030.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 42 = -3*q. Suppose l + 5*p + 49 = 0, 0*l = l + 4*p + 50. Let m = l - -109. Calculate the greatest common divisor of m and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**3\/3 + 1198651*s**2\/3 - 88704281*s\/3 + 547018175 = 0 for s.\nAnswer: -1198725, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 910 (base 12) to base 7\nAnswer: 3546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131325*g - 190102*g - 95019*g.\nAnswer: -416446*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08747 rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 15 = -o + 18, 0 = -2*k + 2. Let a = -32 + o. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/10)\/((-1)\/5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -8.55915 + -5.727\nAnswer: -14.28615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2584929 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 186692335 rounded to the nearest 1000?\nAnswer: 186692000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -l - 8. Let j(v) = -v**2 - 7*v + 7. What are the prime factors of j(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -10*o - 4. Let g(i) = -19*i - 7. What is -3*g(h) + 5*j(h)?\nAnswer: 7*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 83 + -79. Suppose v - 3*o = -0*o + 55, v = 4*o + 52. Suppose 5*h + g*p = 173, -h + 3*h = p + v. What are the prime factors of h?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three eighths of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -72976548*x + 215287417?\nAnswer: -72976548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 507291203?\nAnswer: 17, 19, 139, 11299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 11 = 4*j. Let a(k) = k + 2. Let g be a(j). Solve -5*c + g = -c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -337 - -332. Sort -1, j, 5.\nAnswer: j, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 4*s**3 - 3*s**2 - 4*s + 1. Let i(b) = -5*b**3 + 4*b**2 + 5*b - 2. Calculate -4*f(m) - 3*i(m).\nAnswer: -m**3 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 + -0.2. Let q = 74 + -68.7. Let n = q + -5.9. Which is the second smallest value? (a) 2\/7 (b) d (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i**2 + 3755*i - 37050 = 0. Calculate i.\nAnswer: 10, 741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.3 - 3. Let p = -0.2 + 0.1. What is the third smallest value in u, -2\/7, p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(343))*-3)**2 + (sqrt(343) + -6*-1*sqrt(343))**2 - (-2*(sqrt(343) + -3) - (-2 + sqrt(343) + -2 + sqrt(343))**2).\nAnswer: 154*sqrt(7) + 21312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15\/733 - 170684\/5131. Which is smaller: i or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/((-38)\/19) + 11\/(33\/612). What is the highest common divisor of 155 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -196 - -198. Suppose 0 = p + 1, p - 5 = z + 5*p. What is the nearest to z in s, 0, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/20 - 264\/15. Let x = n + 18. Is x not equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134749 is divided by 9552?\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -11029.\nAnswer: -11028.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -12\/623?\nAnswer: -12\/623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, -2.8, 1, 0.1, 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1018 (base 9) to base 7.\nAnswer: 2114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 33303 - -3?\nAnswer: 33306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07107638 rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 673223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202822.\nAnswer: 2, 101411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xesxlxeexxeeeb. Give prob of picking 1 x, 1 s, and 1 l.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 694?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -101, -492, -1151, -2072, -3249, -4676, -6347?\n\"Answer: f**3 - 140*f**2 + 22*f + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.081 + 3.081. Which is the third biggest value? (a) -0.1 (b) -4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (85\/(-25) - -4)*(23 + -33).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(125) + sqrt(125) + 0 + -2)**2 - sqrt(125)) + 2 + (2*sqrt(540))\/sqrt(3)*2)*-2.\nAnswer: -1012 + 42*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*j + 17*j - 17*j**2 - 38*j - 2*j**3 to the form n*j**2 + g*j**3 + s + o*j and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d**3 - 3*d**2 + 3*d - 6. Let w(g) = -7*g**3 - 5*g**2 + 5*g - 11. Let i(o) = -5*l(o) + 3*w(o). Differentiate i(p) wrt p.\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.386223 rounded to zero decimal places?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/20 (b) -5 (c) 0.3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 213713 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -4*k**3 + 3852*k**2 - 1236492*k + 132304644 = 0.\nAnswer: 321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2464*p**2 + 2440*p**2 - 4999*p**2. Let i(x) = 5*x. Calculate s(i(w)).\nAnswer: -2375*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 837 in -4, 0, -2\/47, 0.21?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6150 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5*n + 88. What is the highest common factor of n and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8723, -8722, -8721, -8720?\n\"Answer: d - 8724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46303?\nAnswer: 19, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**3 - 23*u**2 + 100*u + 36. What is the remainder when k(9) is divided by 37?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 3*j + 2806 = 2799, n + 5 = -3*j for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iijbjjibijgjbj. Give prob of sequence gib.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5823?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 963111977 to the nearest integer?\nAnswer: 988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 10 + 10 = 0. Suppose 0 = -g*t + 3 + 7. Differentiate -t*s - 2 + 0*s + s wrt s.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 210849 and 804?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 27a2 + -25?\nAnswer: 277d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 18133803921 and -3.\nAnswer: 18133803918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -130, 1\/2, 41?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1667815663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 3*g**2 + 5*g + 27. Does 94 divide l(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (11 - 14)\/(2\/(-4)). Find the third derivative of -25*i**5 + 25*i**5 + 3*i**2 + 8*i**h wrt i.\nAnswer: 960*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*m - 10. Let j(r) = -r**2 - 9*r - 4. Let x be j(-8). Sort x, 3, m in descending order.\nAnswer: x, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 38.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 710?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a29 (base 11) in base 7?\nAnswer: -21155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 4:23 PM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57 + 1222*d**2 - 38 - 2233*d**2 - 20 + 1166*d**2.\nAnswer: 155*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2523\/116*((-12)\/2)\/(198\/88)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 121122270 and 1860.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*x + 8 = -22*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + -0.2. Let y = 21.46 - 3.76. Let w = 18 - y. Which is the third biggest value? (a) p (b) -6 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17856?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1042055?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 8*g**2 - 20*g - 5. Let p = 69 + -75. Let y be a(p). Suppose f - y = 110. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -344 + -1421472?\nAnswer: -1421826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 4. Let i(r) = 177*r - 4*r**2 + 2*r**3 - 353*r + 180*r - g. Let p be i(2). Do 7 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -0.3 (c) 5 (d) 106\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s + 2. Let y be u(-9). Let x be (y - 1)\/(4\/16). List the prime factors of (-12)\/x + 615\/24.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8708214ml in litres?\nAnswer: 0.0008708214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 17 = -3*s + f, -4*s + 70 = -3*f. Solve 0 = 3*o - 7 + s for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 4*f**2 + 3*f - 7. Let u be o(4). What is the second derivative of 10*q + u*q**4 + 7*q**4 - 5*q**4 wrt q?\nAnswer: 84*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2121221 (base 3) to base 13.\nAnswer: b44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qeueequuequqweuqeq. What is prob of sequence uueu?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ce when two letters picked without replacement from {c: 2, e: 1, a: 2, b: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22 - 0 - (2 - 0). Suppose -n - n = 5*y - 142, -140 = -4*y + 5*n. What is the greatest common divisor of s and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k + 47. Let p be j(-7). Calculate the lowest common multiple of 23 and p + (8 - 60\/5).\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32338.73738 take away -0.252818?\nAnswer: -32338.484562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -31, -34, 3, 98, 269, 534, 911, 1418?\n\"Answer: 3*c**3 + 2*c**2 - 30*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 11414\/29 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.2882619km?\nAnswer: 28826.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 26 = -22. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 8 - 5 + 11 - 2*o**2 to n*o**2 + a*o + h and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-36)\/(o*o*o\/o**(-1\/7)) assuming o is positive.\nAnswer: o**(-274\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 2. Let t(r) = r**2 + 5*r + 8. Let y be t(-6). Let h = y - x. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 20279.\nAnswer: -3\/20279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 291259740 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 - (-4 + 19)\/(-5)) + 1. Solve a*u + u = 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.68495 times -20\nAnswer: -13.699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - 5 - ((21 - 2) + -9) - 9.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 47389 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: How many minutes are there between 1:15 PM and 11:20 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 1 (b) 1\/8 (c) 4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 912 divide 9969984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55 + 59. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 43779 = 3*v, 0 = 4*i + 320*v - 318*v - 87502. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006491 to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**3\/7 - 34*z**2\/7 - 192*z\/7 - 360\/7 = 0. What is z?\nAnswer: -6, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**3\/3 - 562*q**2 + 156089*q\/3 - 246140 = 0.\nAnswer: 5, 93, 1588","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/506, -2761\/4, -2\/5.\nAnswer: -2761\/4, -2\/5, -1\/506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -6*v**5 - 9*v**4 + v**3 - v**2 - 5*v - 5. Let w(z) = -18*z + 0*z**5 + z**5 - z**4 + 19*z + 3*z**4 + 1. Let b(c) = -a(c) - 5*w(c). Factor b(p).\nAnswer: p**2*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1, 0.2, 0.11, 25 in increasing order.\nAnswer: -1, -0.1, 0.11, 0.2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5*p - 6*g, 28 = 4*p - 3*g. Let l = 240 - 234. Suppose 8 = p*f + 4*s, 4*f + s + l = 17. Solve -2*v - f = -4*q + 1, -q - 6 = 3*v for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 55\/(-10)*(-4)\/2. What is the greatest common divisor of 77 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2199996 = -4*c - 2*u, -2749998 = -3*c - 2*c - u. What is c rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-195)\/25 + 3)*15\/(-3) and 22?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4728856173.\nAnswer: 3, 19, 82962389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 19*f + 33. Let p be v(-18). Factor -3*t**4 + 5 + 4 + 9*t**2 + p*t - 3 + 4*t**3 - 7*t**3.\nAnswer: -3*(t - 2)*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u**3 + 24*u**2 + 92. Let a(v) = v**3 - v**2 - 2. Suppose -5*p + 35 = 2*p. Let s(r) = p*a(r) + c(r). What is the first derivative of s(d) wrt d?\nAnswer: 3*d**2 + 38*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283 + 861 - 2256*w + 2254*w - 288 - 290.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - h + 4. Let x be u(-3). Suppose -l = s - 4*s, 0 = -3*l - 9. Let o = x + s. Is o greater than -3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (252*c**3 + 76*c**3 - 540*c**3)*(5*c - 7*c - 8*c).\nAnswer: 2120*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 10*m - 9. Let u be l(11). Suppose 2*f - 5 = c, -u*f = 3*c - 2*c - 3. Solve 0 = 2*o - 4*t + 16, 0*o - 8 = 4*o - f*t for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d0dc (base 15) in base 8?\nAnswer: -270763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6108 + -6108. What is the nearest to d in -5, 2\/7, 10, -12?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 27\/(-33) + 8 + (-4)\/22. Suppose 2 - i = -c. Solve -3*f = 9, 5*a = -2*f + c + 9 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 94352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*k**3 + 133272*k**2 - 1398033*k + 3668679 = 0.\nAnswer: 21\/4, 8319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3422 (base 5) to base 10\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.02 - -0.02. Let d = f + -0.04. Let w = 0.06 - d. What is the nearest to w in 3\/2, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -227330 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 185 - 242. Sort k, 2\/3, 0.3.\nAnswer: k, 0.3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 0*z + 20 = 0, -15 = -g - 3*z. What is d in 15*d**2 + 3*d**g - 49*d**5 - 4*d - 70*d**4 + 9*d**2 - 4*d**2 = 0?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6255482 and 119442?\nAnswer: 2342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -82a61 (base 11) in base 6?\nAnswer: -2332255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4*s**2 - 3*s - 2. Let x be t(-2). Let y = x - 13. Let q = 306 - y. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 56 = 11*y. Solve -8 = -2*s + y*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 10:53 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -5*j - 7*j + 3733*j**2 - 127 - 3731*j**2. Let p be b(12). Solve 0 = -q - 5*m, 0 = -3*q + 5*m - 3*m - p for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*n + 43*n - 42 + 42.\nAnswer: -95*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + 1 + (-394 - -363).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1192\/731215?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -67*s + 7. Let q(b) = -8*b - 21*b - 3*b + 2 - 2*b + 12*b. Calculate -2*g(f) + 7*q(f).\nAnswer: -20*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31328 and 2701328.\nAnswer: 59429216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 39, -3, 3, 5.\nAnswer: -3, 2, 3, 5, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-32)\/(-30) - (-6)\/(-15). Let b = 13\/20 - 2\/5. Let w = 0.3 - 0.4. What is the nearest to 0 in q, b, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75*j**2 - 34*j**2 + 72*j**2)*((-j + 3*j - j)*(-1 + 2 + 0) - 3 + 3 - 2*j - j + 3 - 3 - 5*j + 5 - 5).\nAnswer: -791*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 b when three letters picked without replacement from {n: 1, z: 4, b: 4, j: 2, k: 1, w: 6}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -944*d**2 - 25 - 4*d + 1220*d**2 + 25 as i*d**2 + m + a*d and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -115 + 124 - (-100 - (-14 + 17 - (-2 - -1)))\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5884643, -11769286, -17653929, -23538572, -29423215, -35307858?\nAnswer: -41192501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27674*q - 27677*q + 175 = 4*g, 12 = g + 4*q - 243 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3908 - 19420 = 278*d + 425*d + 4875 for d.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*1\/(-3*2). Let z = 0 + 1. Let o = -0.7 + -0.3. What is the second smallest value in o, z, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 573*z - 18262. What is g(-33)?\nAnswer: 1736","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/6 and 9\/272?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3377\/812 + 525\/58. Let p = c - 15\/4. Let x = -1422 + 1423. Is x equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*n - 46 - 14 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 90586990*o**2*q**2 - 659*o**2*q + 2*o**2 - o*q - 2*o - 1459*q wrt q?\nAnswer: 181173980*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-1)\/(-55))\/((-2952)\/180 + 17).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 65438884?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -5*s. Let k(d) = 7*d**2 + 700*d - 1. Give k(x(a)).\nAnswer: 175*a**2 - 3500*a - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 7*x = d - 35, 0 = -4*d - 5*x + 38. Solve -d*o + 39 - 22 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1110*q*t - 5*q + 2*t + 278 wrt q.\nAnswer: 1110*t - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is sixteen fifteenths of a day in minutes?\nAnswer: 1536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -553 (base 12) to base 9.\nAnswer: -1060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**5*n + 17071444*g**2*n - g - 15894433*n wrt g?\nAnswer: 40*g**3*n + 34142888*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3096, 12400, 27910, 49632, 77572, 111736, 152130, 198760?\nAnswer: 251632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3788 divided by 83\nAnswer: -3788\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*k + 14 + 9, 4*p + 5*k - 27 = 0. What are the prime factors of (p + -14)\/((-2)\/26)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1019 = 3*q + f - 1006, 0 = -5*f - 35 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*s - 20*r = -214*s + 74, 0 = -5*s + r - 32 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.93725678402 and -44.\nAnswer: -44.93725678402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 14922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2118304.\nAnswer: 2, 53, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/((-42)\/81) + (3 - 0). Is -0.3 at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 6*k + 6. Let i be y(6). Suppose z + i*d = 4*d - 9, -4*d = 20. Let j = 7 + -4. Put z, 2, j in decreasing order.\nAnswer: j, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 5*z**2 + z + 3. Suppose -2*s = 2*s. Let f be s\/2 - (-3)\/(-3). Let r be (f - 1)\/((-6)\/(-15)). Give o(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -4365\nAnswer: -1\/1455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1741 = -777*j + 40217 for j.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50 - -70. Suppose -2*o + 20 = 3*o. Solve -o*v = -4 + c for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26? (a) -2\/17 (b) -1963 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f + 6. Let c = 7 - 1. Let t(l) = 16 - 8 - 7. Let z(k) = 8*k - 14. Let y(v) = 3*t(v) - z(v). Calculate c*y(q) - 17*g(q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 7*x + 5. Let a be w(-7). Let d(l) = 132*l**2 + 7*l - 8. Let q be d(a). Let b = 2321 - q. Round b to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a microgram in nanograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 9}. Give prob of sequence ssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**4\/3 + 8*f**3\/3 + 19*f**2\/3 + 10*f\/3 = 0. What is f?\nAnswer: -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1))**0*((j\/j**(-4))\/j)**(1\/20) assuming j is positive.\nAnswer: j**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(1*6\/(-8)). Let m = r - 1. Solve m = -3*h - 9 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 13848718?\nAnswer: 4\/6924359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.258227 to three decimal places.\nAnswer: 0.258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1353 + 171?\nAnswer: 1524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 38 + -23 + -1 + -1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10111011 (base 2) to base 15\nAnswer: c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.352 - -0.33. Let d = k - 0.027. Let g = 0.0342 + d. What is g rounded to three dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of m**6\/15 + m**5\/10 - m**4\/2 - m**3\/3 + 2*m**2 - 13*m. Determine y, given that r(y) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + 13. Let a = -4 - v. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -621 - 282 = 301*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 198296305?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97, 100, 103, 106, 109?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q + 34. Let g(n) = 13*n. Give g(k(l)).\nAnswer: -13*l + 442","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((900\/(-6000))\/(54\/32))\/(36\/10)\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-24))\/(-1 - (-6)\/3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.552 minus 13?\nAnswer: -14.552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 6*d - 4*d + 6*d + 0*d - 3*d + (-1 - d + 1)*(-5 + 2 + 2))*(0*d + d**2 + 0*d)*(-53*d + 94*d - 59*d).\nAnswer: -54*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 5*x**2 - 18*x + 86*x - 5 + 3*x**3 - 38*x + 7*x**3 - 25*x. Let m(s) = 5*s**3 + 3*s**2 + 3*s - 2. Give 3*h(f) - 5*m(f).\nAnswer: 5*f**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.47756 and -1?\nAnswer: 1.47756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13414095*h*x**4 - 17*h*x**3 - h*x**2 + 30*h*x + 166*h + 2243*x - 2 wrt x.\nAnswer: -321938280*h*x - 102*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*m + 194 + 1070. List the prime factors of m.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 15 = 4*p. Let f be (-4 + 7)*p\/9. Put 3, f, -1\/2, 1 in increasing order.\nAnswer: -1\/2, 1, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -251685086\nAnswer: 1\/125842543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 711 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c - 1. Let q be s(3). Sort q, 1, -5 in descending order.\nAnswer: q, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1533697259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33*l**3 - 13689*l**2 + 24768*l + 4956.\nAnswer: 3*(l - 413)*(l - 2)*(11*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 11110101101110?\nAnswer: -11110101110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95 and 817?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**3 - 2*z**3 + 4*z**3)*(-2*z + 3 - 3)*(2 + 2*z + 0 - 4*z) + 2*z - 4*z**5 - 2*z.\nAnswer: -12*z**5 + 8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 4*w**2 + 250*w + 1285. What is y(-5)?\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -14, -5, -1 in descending order.\nAnswer: -1, -5, -11, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*sqrt(80))**2 + 1 - 2*(-2 + -1*sqrt(5))**2*5.\nAnswer: -40*sqrt(5) + 231","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 8 = -5*m. Let r(y) = -y**4 + y**3 - y**2 + y. Let p(b) = -3*b**4 + 4*b**3 - 7*b**2 + 6*b. Let x(s) = m*r(s) - p(s). Find u, given that x(u) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3966 divided by 5?\nAnswer: 3966\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29486, 58969, 88452, 117935, 147418?\nAnswer: 176901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1792 and 592?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*c - 1562038 = -139*c - 300988. What are the prime factors of c?\nAnswer: 2, 3, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one fifth of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -947 or -936?\nAnswer: -947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17573114 and 2860.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3162368*n**3 - 12857045*n**2 wrt n.\nAnswer: 18974208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 5, 2*y = 5*h + 54 + 79. Calculate the remainder when 143 is divided by y.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**2 - 34*v + 4. Let c be k(17). Let q be (c\/6)\/(12\/54*-3). Put 3, q, -4 in decreasing order.\nAnswer: 3, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 736 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*s - 71 + 156. Suppose -2*r = -r - 3. Suppose s*a = 2*a - 2*m + 53, 0 = r*a - 5*m - 25. Calculate the highest common factor of a and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1072976149 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-129)\/(-215))\/((-3)\/2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.2, 0, -33 in decreasing order.\nAnswer: 0, -0.2, -4, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 72, 15, 4 in decreasing order.\nAnswer: 72, 15, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.308 plus 11?\nAnswer: 10.692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86033*k - 42985*k - 43042*k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3425\/21 - 491\/3. What is the closest to -0.1 in 108, -3, -4\/3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 185 and 46435.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000101000011100011 + -101111111000?\nAnswer: 1000100010011101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 5*z**2 + 1. Let j = 622 + -612. Let a be ((-40)\/16)\/((-25)\/j). What is k(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/9 + (-533)\/(-585)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/15 or -34071478?\nAnswer: -34071478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 79*n - 770. Let p be a(-9). Solve 144 = 6*x - p*x for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 k when two letters picked without replacement from {k: 1, h: 5, w: 2, o: 4, c: 4}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1891, -3663, -5435, -7207?\n\"Answer: -1772*u - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oeeccebocsqe. Give prob of picking 1 s and 1 e.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of g**5\/20 + g**4\/6 + 3*g**2\/2 + 3*g. Let o be q(3). Suppose 0 = -3*c + o + 144. What is c rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 5*t + 7, 0 = 2*j - 0*t - t - 9. Sort -1, j, 2.\nAnswer: -1, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4048667 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**14)\/q**(-2))**(2\/43) assuming q is positive.\nAnswer: q**(34\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 0*m - m - 8 + 0*m + 2*m. What is y(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, u: 1, v: 4, y: 8}. What is prob of picking 3 v and 1 u?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50138698 and 210.\nAnswer: 5264563290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 4060361 and 4060374 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.87 + 0.13. Suppose 28 = -u + 4*u - 4*f, -5*u + 4 = 4*f. Put k, u, -2 in increasing order.\nAnswer: -2, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 8:16 AM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -y**4\/2 - 8*y**3\/3 + 5*y**2 - 32. Solve l(o) = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 141, -29.2, 0.0915 in increasing order.\nAnswer: -29.2, 0.0915, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y**4 - 1111545*y**3 - 231362575*y**2 - 12261693195*y - 23606828530 = 0. Calculate y.\nAnswer: -103, -2, 222517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.739272 rounded to three dps?\nAnswer: 31.739","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**27*p**(5\/2))\/((p\/(p*p**(-16\/9)*p))\/(p**(-1\/24)*p*p)))**(-2\/103) assuming p is positive.\nAnswer: p**(1607\/3708)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**10*g*g*g)\/(g**10*g*g))\/(g**(-18\/11)*g**20) assuming g is positive.\nAnswer: g**(-180\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of n**5\/20 - 5*n**4\/6 - 2*n**3 + 13*n**2\/2 + 21*n. Let g be v(11). Let 5*q**2 - 52*q + 2*q - g*q**2 + 2*q**2 = 0. What is q?\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*x = 2*n + 37, n - 2*x = 13. Calculate the lowest common multiple of 25 and n.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 14*m**2 - 11*m - 27. Let l be c(13). Let k be 1\/12*(l - 125\/10). Which is greater: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*k + 37373 + 17385 = 527*k. What is the remainder when k is divided by (6\/4)\/(12\/176)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88, -45, 27 in descending order.\nAnswer: 88, 27, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*r**4 - r - 43*r**4 + 5*r**2 - 4*r**2 to s*r + n + i*r**4 + y*r**2 + j*r**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (8015\/(-6870))\/((-686)\/24)\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -134 + 133.987. Let z = -0.019514 - -0.0064888. Let j = z - t. What is j rounded to 6 decimal places?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**2\/4 - 7347*v\/2 + 4047795\/4 = 0. Calculate v.\nAnswer: 293, 4605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1, -8, -19, -32, -47, -64?\n\"Answer: -u**2 - 6*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f + f + 2*f + (0 + 0 + 2*f)*(1 - 4 + 5) + 1 + f - 1 + (-1 + 5 - 2)*(f - 6*f + 4*f).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2824047047.\nAnswer: 9739, 289973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 6*c + 12. Let l be r(5). Suppose -11 = 3*o - l. Suppose 4*y - 34 = -o*w, -3*y + 3 = -0. Put w, -4, -5 in descending order.\nAnswer: w, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24293 or 23742?\nAnswer: 24293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from llwwlwwlllwww?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -j - 0*k - 1, -2*j + 26 = 5*k for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -314?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 127*t + 13863. Determine j(-140).\nAnswer: -3917","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/110 and -115\/154?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -27*p**4\/4 - 7*p**2\/2 + 39. Find the second derivative of q(v) wrt v.\nAnswer: -162*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - r**2 - 2*r - 4. Let s be (2*-1)\/((-2)\/(-3)). What is the remainder when 38 is divided by y(s)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybybyrrrrrkrroyby. Give prob of picking 1 y and 1 o.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-10)*(-350)\/(-252).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00018431653 rounded to six decimal places?\nAnswer: -0.000184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 6) to base 15\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7027 - -1107?\nAnswer: -5920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11020012 + -1?\nAnswer: -11020020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 41, 42, 43?\n\"Answer: f + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-30)\/(3 + -4 - 1). Calculate the common denominator of 126\/(-76) + 0\/t and (-20)\/50*(-230)\/(-72).\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34\/68)\/(16\/(-416)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*b - 87 + 164 - 77.\nAnswer: 81*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**4 + 23*x**3 + 48*x**2 - 27*x - 59. Let g(y) = -10*y**3 - 24*y**2 + 14*y + 30. Let d(l) = -5*g(l) - 2*k(l). Find r such that d(r) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 6:38 PM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g + 6. Let m be r(4). Suppose d + 16 - m = 0. Let x(p) = 4*p**2 + 4*p - 3. Let u(z) = z**2 + z - 1. Determine d*x(a) - 6*u(a).\nAnswer: 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 2:56 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p + 7. Let g(k) = 2*k + 21. Let m(x) = -x**3 + 11*x**2 + 29*x - 36. Let l be m(13). Give l*g(f) - 8*w(f).\nAnswer: -2*f + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + -1 - 1*-27. Suppose 12 + w = 3*k. Let q = 15 + k. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -9, 44, 141, 288, 491, 756, 1089?\nAnswer: 1496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1125, 2563, 4001, 5439, 6877, 8315?\n\"Answer: 1438*i - 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 48*f**2 - 349223*f + 16415683. Calculate m(47).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6951591?\nAnswer: 3, 41, 18839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 3fbdb?\nAnswer: -3fbe0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 18 = -4*w, -2*w - 164 + 164 = -4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 = -988*r + 1010*r. Solve -r*l = -20*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 73*o + 114. Let b be n(-11). Let i = b + 1137. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 10:35 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 368824098 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -72065 + 73485.56. Let x = u + -1396. Let j = -25 + x. Round j to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 88285 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(3\/17)\/(r*r\/r**(-19))*r**16\/(r*r*r*r*r**(16\/3)*r) assuming r is positive.\nAnswer: r**(-773\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x + 11*x - 12. Suppose 6 = x*c, 5*c - 28 = k - 2*k. Let d = k + -6. Is 13 greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3576654 decades in millennia?\nAnswer: 0.003576654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 552726 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*h - 441 = 0, 5*x - h + 1087 = -4*h. Let i = x + 221. Calculate the lowest common multiple of 18 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -32*v**3 + 2*v**2 - 2*v + 4. What is the hundreds digit of c(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 19*g - 40. Let x be b(-21). Solve -4*h = a + 19, 0 = -2*a - 3*h + 4*h - x for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**2 + 27*c. Let m(t) = -4*t**2 + 4*t - 4. Let k(j) = -2*j**2 + j - 1. Let a(n) = 4*k(n) - m(n). Calculate x(a(u)).\nAnswer: -48*u**4 - 108*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of 43*w**7\/210 + 9*w**3 - 45*w**2. Differentiate t(a) wrt a.\nAnswer: 172*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -569509 (base 10) to base 8\nAnswer: -2130245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -166687*f - 122. Let p be r(-6). What is p rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 910397263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -31 at most -274\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - w - 3 = -m, 4*w - 7 = -3*m. Let g(s) be the first derivative of -1\/3*s**2 + m - s**3 + 0*s - 7\/12*s**4. Factor g(r).\nAnswer: -r*(r + 1)*(7*r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 3*n**2 + 3*n - 2. Let w(u) = u**2 + 4 + 2*u - 19 + 10*u + 12. Let k be w(-12). Calculate t(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22920465*d**5 - 11723474*d wrt d.\nAnswer: 458409300*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/324 and 85\/5187078?\nAnswer: 10374156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 749729*j**4 + 3*j**2 - 3538*j - 15 wrt j.\nAnswer: 17993496*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0795594257 - 2239701.\nAnswer: -2239700.9204405743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -595 + 2388. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -5*j + 5, -2*s + j - 14 = 3*j. Let g(o) = -2*o**2 - 7*o - 3. Give g(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8 - -0.3. Let u(y) = y**3 - y**2 - y - 2. Let l be u(2). Let v = -0.4 - -3.4. Which is the second smallest value? (a) v (b) l (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 13. Let v(s) = -2*s - 6. Let n be v(o). Solve -n = -0*d - d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92776 and 128.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -6*j**2 - j - 2*j - j + 3. Let s(p) = 15*p**2 - 6 - 7*p**2 - p**2 - 6 + 8 + 5*p. What is -3*s(c) - 4*v(c)?\nAnswer: 3*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*t = 122*t + 60 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -221, -1, 10, 40, 2, 1 in descending order.\nAnswer: 40, 10, 2, 1, -1, -221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/5, -1, 231\/38539?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -21 + (6 - (4 + -7)) - (-2 + 2)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*l, -o + 4*l - 36 = -6*o. Find the third derivative of 10*s**4 - 4*s**o - 4*s**2 - 3*s**2 wrt s.\nAnswer: 144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 301908?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 3) to base 7.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 6*s**2\/7 - 6693506*s\/7 - 4462340\/7 = 0.\nAnswer: -2\/3, 1115585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/517 and 80\/99.\nAnswer: 4653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -14. Solve -l - i = 2*l - 12, w*l + 2*i = 4 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.1275 to two dps.\nAnswer: 2.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*l**2 + 9*l**2 - 3*l**2 + 4*l**2 + 3*l**4 wrt l?\nAnswer: 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7560 and 120?\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 divided by -60.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1059\/20 - 176\/5. Calculate the common denominator of t and (4\/18)\/(1\/34).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 8 + -1 + 1 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1980 = -4*s - s. Let i = -23 - s. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-147)\/14)\/(1\/(-14)). Find the third derivative of -28*s**5 + 2*s**2 + o - 147 wrt s.\nAnswer: -1680*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 159 - -956a?\nAnswer: 96c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14000 - 29421.5. Round h to the nearest 100.\nAnswer: -15400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1385443 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17473997*c**2*o**2 - 3*c**2 + 381*c + 2360 wrt o.\nAnswer: -34947994*c**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 4*p + 0 + 10 = 0, 0 = -3*q + 3*p + 3 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -261765*h**2 - 1224*h - 122 wrt h.\nAnswer: -523530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -471, -489, -507, -525, -543, -561?\nAnswer: -579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 3 = 4*n. Suppose n*m + c - 5*c + 12 = 0, -3*m - 3*c = -18. Suppose a + 3*a - 5*t = 33, -5*a + m*t + 20 = 0. Solve -a*d = -7*d + 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/4)\/((-39)\/(-416)). Is 20 a factor of (25\/(-20))\/((-1)\/a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/(-3))\/(-2 - -6). What is the closest to 6 in -0.1, -1, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/(-7))\/(18\/(-24)))\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 157 - 35 = 0. Calculate the greatest common divisor of x and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -c + 3. Suppose -c*s + 16 = 3*g, -4*g + 0*s = 2*s - 40. Calculate the remainder when 70\/3 - 4\/g is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 880436?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -10 (c) 2\/7 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12479373 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f - 2 - 10*f + 0*f + (3*f - 6*f + f)*(3 + 3 - 8).\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 4*u + 14725644 = 82075628, 3*p + 5*u = -40409980. Round p to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -375023264, -375023266, -375023268, -375023270, -375023272, -375023274?\nAnswer: -375023276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 54998840 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -m**4\/114 - 12*m**3\/19 - 35*m**2\/19 + 120*m + 191. Let y(k) be the first derivative of l(k). Factor y(h).\nAnswer: -2*(h + 1)*(h + 35)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 181721, 181726, 181735, 181748, 181765?\n\"Answer: 2*n**2 - n + 181720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 1. Let i(s) = s**2 - 33*s + 81. Let a(c) = i(c) - 4*m(c). Calculate the remainder when a(32) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/(-20))\/((-24)\/(-64))*-35. Suppose y*i + 11871 = -39789. What is i rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(4\/(56\/(-133)))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*u - 24*u = -4178 + 3932690. What are the prime factors of u?\nAnswer: 2, 7, 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -621 - -624. Solve 27*l = 26*l + a for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + m - 10 + 53 = 0, 5*m + 20 = 0. What is the remainder when 150 is divided by v?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 13 = -2*q, 3*a - 654*q + 23 = -658*q for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 4:58 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 550 divide 52707050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m - 4. Let t be u(-3). Suppose t*w = -1 + 9. Is 2 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of o**6\/120 - o**5\/6 - 5*o**4\/12 - 4*o**3\/3 - 11*o**2. Let u be z(11). Solve -10 = v + 3*f, -3*v - 2*v - u*f = -10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 + b - b)*(b**2 + 2 - 2) - 2*b**4 - 2*b**2 + 2*b**2 + (3*b - 2*b + 0*b)*(-2*b**3 - b**3 + 0*b**3).\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44) + 6*sqrt(396) - -6*(-1 + sqrt(11) + -5).\nAnswer: -36 + 44*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q - 26. Let x be a(-8). Suppose 8 = -4*p, 5*p - 3*p = 4*r - 20. Solve r*z = x*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 103750 and 5625.\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4*r + 480 = 0, -10*n + 4*r = -13*n + 712. What is the hundreds digit of n + ((-2)\/(-6)*6 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 70*m**2 - 3*m + 203. What is r(70)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -24a?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 12*l**3 + 19*l**3 - 30*l**3 + 53. Let k be f(0). Suppose -3*z + k = y, y + 5 = z - 14. Calculate the greatest common factor of 9 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 4*k = -8, -b = b - k - 4. Suppose -u = -0*u - b. Calculate the lowest common multiple of u and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/48624 and -53\/74962.\nAnswer: 1799088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 + 8 + 7 + 2 + 4 - 2 + (-2 + 1 + 2)*(1 + 3 - 6))*(-2 + 2 + 2*x).\nAnswer: 70*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -1. Let j(b) = 12*b**3 - 3*b**2 + 2*b - 4. Is j(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200)*5)\/sqrt(10))**2 + (sqrt(40)\/(sqrt(72) - sqrt(8)) - ((sqrt(10)\/sqrt(2) + sqrt(5))*-3)**2).\nAnswer: sqrt(5)\/2 + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85299301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - f + 69, -238904 = -4*i - 2*f - 238754 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-180)\/(-25))\/((-6)\/(-20)) - 2. What is the highest common divisor of n and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 23 - 165. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 19*y**5 - 85*y**4\/2 - 325*y**3\/3 - 30*y**2 - 1077. Suppose j(r) = 0. What is r?\nAnswer: -1, -4\/19, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 42\/20 + -2 + 0. Let t(i) = -37*i - 6. Let w be t(-5). Let z = w + -178. Which is greater: v or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -27598*n**3 + n**2 - 120*n - 120. What is the tens digit of z(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1829*138\nAnswer: -25.2402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 33629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**3\/2 + 25*m**2 + 47*m\/2 - 49 = 0. What is m?\nAnswer: -49, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 7 = -h - 8, 0 = -2*h - 3*d - 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -11*i**4\/4 - 5*i**3\/6 + 2*i**2 - 6*i. Let l(d) = -17*d**2 - 3*d + 2. Let m(r) = -6*b(r) + 11*l(r). Is m(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18658974 is divided by 3621?\nAnswer: 3582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -4, -1, 25 in descending order.\nAnswer: 25, 10, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4881, -4989, -5091, -5187, -5277, -5361?\nAnswer: -5439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -58 - b54?\nAnswer: -bac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + 116*v - 120*v + 29, o - 3*v - 2 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 587\/7 - 84. Let c = -2 - -2. What is the closest to c in 0, -1, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**2 + 2. What is the units digit of l(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 29660.99 and 0.12.\nAnswer: 3559.3188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265 is divided by 85.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12774 divided by -7.\nAnswer: -12774\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -69\/35 less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 9*m - 12. Calculate d(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - (-4 - -4 - -2). Suppose 3*q - 5 - 16 = j. Solve -2 = r + f, -3*f = 2*r - 1 + q for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11676*u - 5855*u + 4 - 3 - 5888*u in the form h + m*u and give m.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 15*n**2 + 2*n - 16. Let i be a(15). Let q be (50\/40)\/5 - (-15)\/4. Solve 6 + i = -q*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 15 in increasing order.\nAnswer: -4, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/10 - (-936)\/30. Let w = 14 + j. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*m - 29*m**2 - 21*m + 42*m - 27.\nAnswer: -29*m**2 - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 43213*z - 216026. Determine c(5).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 240.241, -3, 2\/11.\nAnswer: -3, 2\/11, 240.241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 337426 to the power of 1\/2, to the nearest integer?\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(63) + 5.\nAnswer: 7 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9986 - 31148 - 4*s + 6*s + 9989 + 11173.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10232, 10781, 11330, 11879?\nAnswer: 12428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**3 + 145*y**2 + 69*y - 244. What is c(-72)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36985 and 16250?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 207969.6t in grams?\nAnswer: 207969600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 10:59 PM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**3 - 8*x**2 - 5*x**2 + 1 - 3 - 7*x + 2*x**2. Let j be t(-5). Solve -3*b - j = -3*o + 4, 3*o = -3*b - 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -150, -290, -418, -528, -614, -670?\nAnswer: -690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**15\/r**(15\/7) assuming r is positive.\nAnswer: r**(90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 10*a**2 - 26*a - 11. What is h(-12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5306 and 19.\nAnswer: 100814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 2428074632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 14 + 88*d - 76*d - 3 + d**2. Let w be q(-11). Suppose x - 2 = 1. Solve h + x + 2 = w for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 199*z**2 - 59*z - 167. What are the prime factors of j(-3)?\nAnswer: 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of y**5\/12 - 55*y**2. Let g(b) = -b + 5. Calculate w(g(m)).\nAnswer: 5*m**2 - 50*m + 125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -39.6 times -0.09\nAnswer: 3.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -514, -506, -492, -472, -446?\nAnswer: -414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-39)\/(1170\/(-42)))\/(-14)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from fffmjfmfajf.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -56, -86, -142, -230, -356?\n\"Answer: -y**3 - 7*y**2 - 2*y - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 4*l, -3*v + l - 2*l = 9. Let r be 0 + v + (-4)\/(-2). Let q = 68 - 63. Put q, -5, r in descending order.\nAnswer: q, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -s**3\/3 - 19*s**2\/2 + 23*s - 7. Let a be y(-20). Suppose 3*q = a*m + 165, q = -q - 4*m + 98. Is 20 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279 is divided by 38.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -5*a - 34055016, 3*g + 12473586 = -4*a - 14770426. What is a rounded to the nearest 100000?\nAnswer: -6800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - -952 - ((-35)\/5 - -10). What is b rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.12 and 2430216.\nAnswer: 291625.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51665817 is divided by 3335.\nAnswer: 3332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14069299337 - 0.\nAnswer: -14069299337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -1\/8 (b) 5 (c) 7 (d) 1 (e) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.14945 + -142.03945. What is o rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r. Suppose -4*v - 3*o + 15 = 0, -3*o + 5*o - 12 = -3*v. Suppose 2*l = -0*x + 2*x + v, -2*l - 3*x + 16 = 0. Let i(b) = 5 - 3*b - l. Give i(p(t)).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3925?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1647398 + 1647448 + w + 1647405 - 4942251.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1225372, 2450228, 3675098, 4899988, 6124904, 7349852, 8574838, 9799868?\n\"Answer: l**3 + l**2 + 1224846*l + 524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 403802372?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 0.05 (b) -0.5 (c) 4 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(405) + sqrt(405) + -5 + -4.\nAnswer: -9 + 27*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - -5 - (-56 - -9). Suppose 0 = -8*x - j - 92. Does 54 divide x\/(-12)*(-668)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10074 and 3473.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -j + 8*h - 13*h, 2*j - h = 24. Differentiate 11*k - 11 + 3*k + j*k + 3*k wrt k.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of 5*q**4\/12 - q**3\/6 + 3*q**2. Does 4 divide d(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 80246 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -744946*u**4 - u + 135084.\nAnswer: -8939352*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**2 - 5*m - 4. Let l be v(-4). What is the common denominator of -99\/8 and l\/(-112) + (-397)\/70?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17561 + -526783\/30. Calculate the common denominator of x and 1\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.03542143 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -3*q**3\/2 + 39*q**2\/2 - 48*q + 30 = 0?\nAnswer: 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20110011 + -110?\nAnswer: -20110121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (w**3 + w - w)*(-65 + 161 + 145) + 0*w**3 + 0*w**3 - w**3 in the form d*w + o*w**2 + r*w**3 + y and give r.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2765674254 to the power of 1\/2, to the nearest integer?\nAnswer: 52590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11)\/33*(6 + 0). Let y be ((-2)\/s)\/((-5)\/(-60)). What is the highest common divisor of y and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 13322, 105293, 354932, 841073, 1642550, 2838197?\n\"Answer: 13139*i**3 - 2*i + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18362?\nAnswer: 2, 9181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 93.63397 kilometers?\nAnswer: 93633970000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001003 to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 759*t - 764*t = -25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(468)*1*-4 - (sqrt(468) - (2 + sqrt(468) + -3)))*-1)**2 + 4.\nAnswer: 48*sqrt(13) + 7490","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus 4744.44?\nAnswer: 4743.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 32\/(-3)*27\/(-3). Suppose 19*s + 1381 = 13. Let v be (26\/78)\/((-2)\/s). What is the greatest common divisor of v and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 7 = -31. Suppose 2*n - 3*u - 29 = -8*u, -4*n + 33 = 5*u. Let p(l) = l + 3 + n*l - 4*l. Calculate p(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-5 + (16 - (1 - (1 + -7))))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 43*z + 151. Let k be g(8). Let f be ((-66)\/k)\/((-1)\/3). Which is bigger: f or -0.72?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 21 = 8*x - 16*x, 0 = -4*j - 4*x + 32 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 1 + 1)*(s**4 + 1 - 1) + 3*s**5 - 4*s**5 - 4*s**5 + (3*s**5 + 0*s**5 - s**5)*(-2 - 8 + 6) + s**5 + 3*s**5 + 0*s**5.\nAnswer: -11*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u + 9. Let t(d) = 4. Let v(y) = -c(y) + 4*t(y). Determine v(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 25 = 22. Suppose k = 57 + h. What is the greatest common factor of k and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2 + 4*l. Let v be k(-3). Let d(y) = -6*y + 0*y + y + y**2. Does 6 divide d(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*g**4\/17 + 62*g**3\/17 + 194*g**2\/17 + 178*g\/17 + 52\/17 = 0. What is g?\nAnswer: -1, -2\/3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*b - 26*b - 8*b - 9 wrt b.\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -568 - -972. Let j = -408 + p. Let q = 1 - 0.6. Which is the second smallest value? (a) q (b) 5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26338258 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/4 + 24653*t**2\/4 + 419968*t + 7144369.\nAnswer: -(t - 24721)*(t + 34)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 25\/2 of a millennium?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*k - 20*k + 3*z, -k = 4*z. Let n = 254\/7 - 36. Let y = 1.96 - 2. Put k, n, 0.5, y in descending order.\nAnswer: 0.5, n, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 4367*10\/110 - 5.\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (8 + (-1 + -5 - 1))) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(72) + 2) + 0 + (2*sqrt(72) + sqrt(72) - sqrt(72)))**2.\nAnswer: 192*sqrt(2) + 1168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1001 (base 2) to base 10\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 17199.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -2321080 and -2321080 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 + 12 = -5*b. Solve 5*d - b = -7 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3953*h - 2789*h - 1 + 739*h**2 + 3 - 737*h**2 to the form p*h + o*h**2 + t and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (23 + 3*n - 32*n - 23)*(-2*n**3 - n**2 + n**2) as w*n**2 + b*n**4 + l*n + x + j*n**3 and give b.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -126 - 0?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c - q + 20 = -8*c, 5*c + q - 25 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62 - 62. Sort m, 12, 3 in ascending order.\nAnswer: m, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 0*t = 40. Suppose -4*d - 2*w + 8 = 3*w, 4*d = -3*w + t. Is 17 + (1 - 0)*d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2 = -34. Let n = r - 8. What is a in 2\/3*a**4 + 2\/3*a**3 + 0*a + 0 + n*a**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 167 + -165. Suppose t - 1990 = -3*d + 6*t, -r*d = -3*t - 1325. Is d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2627868 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 969654659?\nAnswer: 969654659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -q**2\/2 + 1. Let y(n) = 22*n**2 - 59*n + 63. Let i(l) = 10*l**2 - 35*l + 28. Let p(x) = 9*i(x) - 4*y(x). What is h(p(f))?\nAnswer: -2*f**2 + 79*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (91*d - 91*d + 2 - d**3)*(4*d**2 + 0*d**2 + 0*d**2) + (-5*d + 3*d + 4*d)*(0*d**4 - 2*d**4 + d**4).\nAnswer: -6*d**5 + 8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (6 + -3 - 10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 19. Let w be (19 - -2)\/(z\/4). Calculate the greatest common divisor of 98 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 323920.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 43*g - 2. Let f(z) = -256*z + 12. Let y(w) = -f(w) - 6*r(w). Let n(v) = -3*v. Suppose i - 4*a = 25, -5*i + a + 30 = -0*i. What is i*y(s) - 2*n(s)?\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*d + 44 = 0. Let f(g) = -g + 27. Let s be f(10). Let t = d + s. Is 6 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 102 and 12393.\nAnswer: 24786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*x, -5*y + 53 = 2*x - 0*x. Let j be -2 + (-114)\/(-21) + y\/(-21). Solve -5*i + 20 = 5*s, 5*i + j = 2*s + 30 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1004*m**4 + 189.\nAnswer: -4016*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t - 7600 + 6690 = 0 for t.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -a8 (base 12) in base 4?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.006 and 0.27?\nAnswer: -0.00162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 19\/10 of a meter?\nAnswer: 190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -h**6\/120 + 2*h**4\/3 - h**3\/2 + 4*h**2. Let l be t(-5). Suppose 0 = -4*x + l + 62. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 500 - 269 = -77*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1354.87 + 1355. Which is the nearest to 4? (a) r (b) 7 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 2*v - 11 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 987 divide 18241734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -7.1. Let q = -0.1 + i. Which is the closest to -4? (a) 1 (b) q (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 166.\nAnswer: -1\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -20012031211 (base 4) to base 15\nAnswer: -2bddb7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9504)\/(-250) - 5568\/348000.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 116 + -57. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 4 = 3*z + l, -5*l = -5. Let p be ((6\/(-9))\/(-1))\/(4\/14). Is z greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005182 rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 42813 - 7862 + 1865 = 0. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 h when four letters picked without replacement from {t: 11, h: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by (315\/70)\/(1*(-1)\/(-6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7209739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 4\/7 (c) -1\/2604 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -733 = -q - 210. Suppose -2247 = -4*j - q. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27.90149 + 0.02851. Let x = w + -28. Let n = 0.43 - x. Sort 1, 2\/7, n, 9 in ascending order.\nAnswer: 2\/7, n, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 11:27 AM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 42595623 to the power of 1\/2, to the nearest integer?\nAnswer: 6527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -87 - -200. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 157526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7531 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 35.6\nAnswer: -17.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 268454.3 litres in millilitres?\nAnswer: 268454300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12228361 to the nearest integer?\nAnswer: 3497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -403*b**3*k**3 - 8*b**3*k + b**2*k - 2*b*k**3 + 29*b*k + b + 5*k**2 wrt k?\nAnswer: -2418*b**3*k - 12*b*k + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 21 + 3 = 0. Let t be 1 - (1 + 1) - 2. Let a be (1026\/72)\/(3\/4) - 0. Sort a, t, x in descending order.\nAnswer: a, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-910)\/(-50))\/(24*322\/736).\nAnswer: 26\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 213640?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 414 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {z: 3, y: 3, a: 1, w: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -1\/5 (b) -5 (c) 0.19 (d) 198\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -26638, -50098, -73558, -97018, -120478?\n\"Answer: -23460*r - 3178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -548 - -740. Suppose 0 = 44*s + 4*s - y. Solve s*t + 15 = -k, -1 = t - 4*k + 7 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-4\/5)\/((((w\/w**(4\/5))\/w)\/w)\/w)*w**(2\/3)*(w\/w**0)\/w assuming w is positive.\nAnswer: w**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 64 in 2, 13, -5?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-2\/9)*(p*p**(2\/5))\/p*p)\/(((p*(p\/(p*(p*p**(-1))\/p)*p)\/p)\/p*p)\/p*p)**(2\/9) assuming p is positive.\nAnswer: p**(98\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1688 + k**2 - 1688.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -187 - -198. What is the remainder when q is divided by 8\/2 - (4 + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 2*h**2 - 2*h)*(-h + 4 - 4) + 2*h**3 + 2*h**3 - 2*h**3 + (-1 - 2 + 5)*(251*h**2 + 20*h**3 - 251*h**2).\nAnswer: 44*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -30. Let c be y\/3*15\/10. Solve 2*k = -0*k - c for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/549 (b) -4 (c) 0.02 (d) -0.4 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/5))**(-1\/4)*((u*((u*u**(-2\/5))\/u)\/u)\/u)**15*(u**0*u\/(u\/u**(2\/21)))\/(u**6\/(u*u\/(u\/u**(-1))*u*u)) assuming u is positive.\nAnswer: u**(-5209\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 160 - 95. Suppose -y = -3*a - 2*a. Let d = -7 + a. What is the remainder when 11 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -27*a**2 - 267*a + 24. Determine l(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-271)\/3 - (10\/(-33))\/(3484\/(-19162)).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 26, -26, -164, -430, -866, -1514, -2416?\n\"Answer: -7*r**3 - r**2 + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 6:38 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130231321 (base 4) to base 9.\nAnswer: -188314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a253 + 1a32?\nAnswer: -8521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2 - 11*x - 35. What is q(-9)?\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -5*j**4\/24 + j**2. Let g(a) be the third derivative of -a**5\/60 + 16*a**2. Determine g(r(o)).\nAnswer: -25*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + 6. What is the greatest common factor of t and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 (base 9) in base 11?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 149, 1100, 3681, 8708, 16997?\nAnswer: 29364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1775.8757 + -1776. What is i rounded to 2 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42783 divided by -3291\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**4 - 3*m**4 - 2*m**4 + (5*m - 4*m**2 + 4*m**2 + m**2)*(0*m**2 + 5*m**2 - 2*m**2).\nAnswer: 2*m**4 + 15*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/142155 and 35\/8424.\nAnswer: 1137240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 25*s**2 + 148*s - 9. Is 129 a factor of w(24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t. Let d(q) be the second derivative of 11*q**3\/3 + q**2\/2 - 9589*q. What is 5*b(o) + d(o)?\nAnswer: 27*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 235*o + 4. Let n(c) = c**2 - 233*c - 5. What is -4*n(b) - 5*u(b)?\nAnswer: b**2 - 243*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-2))\/((-122)\/24 - -5). Let n = -1 + 7. What is the remainder when n is divided by 0 - 3*10\/v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 360668 = -3340*b - 436*b - 908*b for b.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104 + 1299 = 154*j - 1523 for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*p**2 - 469*p**2 + 137*p**2 + 164*p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 137.\nAnswer: -6\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 329716.2um to centimeters.\nAnswer: 32.97162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q - 17. Let z be y(7). Let b = z - -39. Calculate the greatest common factor of 20 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**5 - 90*i**4 + 28626*i**3 - 629582*i**2 - 18485424*i - 94031928 = 0.\nAnswer: -151, -9, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 0. Suppose i*y + 6 = 2*y. Suppose -y*t - 4*m + 53 = 0, 4*m = -t + 11 + 4. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1674840 to the nearest one hundred thousand.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v + 8. Let b be (-19)\/(-57) - (-2)\/(-6). Let p(i) = i**2 - 4*i. Calculate the lowest common multiple of p(5) and r(b).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-4 + 2 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3*z - 1347 = 0, c - 2*z - 404 = 49. Suppose -5*b + c = -0*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -u**4\/6 + 740*u. Let i(j) = -1463*j**2. What is g(i(k))?\nAnswer: -4280738*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -488067060, -488067057, -488067054, -488067051?\n\"Answer: 3*y - 488067063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - -25. Suppose 13 = 2*f + s, -5*f = 2*h - 30. Solve -3*r - 1 = i + h, 2*i + r = 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259457253?\nAnswer: 3, 11, 83, 94727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 27600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6680245 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 110682799 minus 0.06?\nAnswer: 110682798.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -144, -147, -150, -153, -156?\n\"Answer: -3*h - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q. Let f(y) = -y + 1. Let p(l) = 3*f(l) + s(l). Let m be p(-4). Is -22 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 122 and 794?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(7\/11)\/o)**(5\/9) assuming o is positive.\nAnswer: o**(-20\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 3:08 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 953 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -4323.6, -1?\nAnswer: -4323.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 3 - ((-3 - 2) + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 327 + -982\/3. Is k greater than or equal to -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.775 - 9.775. What is the fifth biggest value in k, -5, 0.3, -38, -1\/4?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -7*z + 2. Let j = 10 - 5. Let f(l) be the second derivative of l**3 - l**2 + 2*l. Give j*f(r) + 4*s(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -27*p + 4. Let i(z) = -18*z + 3. Let v(r) = 5*f(r) - 7*i(r). Let a be v(-1). Find the third derivative of 2 + 19*h**2 - 10 - 10*h**3 + a wrt h.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 551 divide 25250525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*f - 5*g = 15, -2*g = f. Let v be 3*(6 - 3 - f). Suppose -3*n + 60 = v*q, -2*n - 2 + 32 = 4*q. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 8 = -4*h, -5*h - 20 - 15 = 5*l for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 614065016 to the power of 1\/3, to the nearest integer?\nAnswer: 850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 18*c**2 - c - 1. Let j = 12 + -13. Let y = 57 - 51. Calculate the smallest common multiple of y and t(j).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - -12)\/(1\/556). Suppose -2*o + w = a, 2*a - 4*o - 13431 = 1025. Is 1\/(-3) - a\/(-39) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -4*k - 20, 3*j + k = -k. Suppose -6*a + 5*u = -3*a - 6, -u = -j*a + 4. Suppose -13 = -a*i + 1. Solve -4*b - 9 - i = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(539) + -2 + sqrt(539) - (sqrt(88) + 1*sqrt(88) + sqrt(88) + sqrt(88))\/sqrt(8).\nAnswer: -2 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08792852 rounded to three decimal places?\nAnswer: -0.088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -483 divided by 2?\nAnswer: -483\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00013066 rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(2) + 3)**2 + (sqrt(12) - sqrt(12)*2)\/sqrt(6))*6.\nAnswer: 30*sqrt(2) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/35651, 9\/2, -73\/4 in descending order.\nAnswer: 9\/2, -2\/35651, -73\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 13*n**2 + 32*n + 17. Determine p(-15).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2033400102 (base 5) to base 14.\nAnswer: -7b489d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 33 (b) -763 (c) 0.4 (d) 0 (e) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -a**7\/1260 - a**6\/144 + a**5\/60 + 3*a**4 - a - 10. Let g(b) be the third derivative of r(b). Calculate g(-5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 173*y**3 - 2*y**2 + 4*y + 2. Let b(x) = -345*x**3 + 5*x**2 - 10*x - 5. Give -6*b(l) - 15*m(l).\nAnswer: -525*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/12 and -53\/21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-39))\/(1070\/2962830)\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 divided by 762?\nAnswer: 185\/762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 108429287*m**2 - 53231194?\nAnswer: 216858574*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15.78 - 17.78. Sort a, 3.84, 5.\nAnswer: a, 3.84, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.3, -60, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 2197.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 16) in base 9?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/10)*v*v**(5\/8)*v**(1\/12)*v*v*v*v\/(v**25\/v)*v*v)**(-16\/9) assuming v is positive.\nAnswer: v**(3982\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 16 = -3*h. Suppose h*s = 3*s - 16. Let q be 3*(-5)\/((-120)\/136). Is s not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/7*i**2 + 2\/7 - 6\/7*i - 2\/7*i**3.\nAnswer: -2*(i - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 + 18\/(-108)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w. Let c be i(6). Let s be (-112)\/(-18) - (-4)\/c. Let g(d) = 19*d + 1. Is g(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 1 = 5 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 98 = 2*u, 5*g - 4*u + 8*u - 241 = 0. Calculate the remainder when g is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -955137, -1910255, -2865373, -3820491?\nAnswer: -4775609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*i + 2*w + 12 = 0, -w = -4*i + 11. Suppose -8 + 28 = 4*f. Suppose f*p - 23 - 2 = 0, 2*p + 70 = 4*j. Solve -i*m = 3*m - j for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.7 - -0.3. Let u = -20\/33 + 50\/143. Let k = -1\/13 + u. Is i < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 4 = 5*m, -14*m + 4406*y = 4408*y + 84 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, -2, -2\/29, -10\/9, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1241107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20862148 is divided by 37?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 432207001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s**2 - 7*s**2 + 11*s**2 + 7*s**2)*(-2 + 2 + 2*s)*(535459 - 271*s**2 - 535459).\nAnswer: -8672*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 4*o**3\/3 + 7. Let t(y) = 2*y. Give t(x(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 5. Let v be 0\/15 - (-1 + 4). Let s be v + (11 - (1 + 2)). Which is bigger: s or f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 34071*x + 34757. Calculate l(-1).\nAnswer: 686","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23800068 by -22797.\nAnswer: -1044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -85\/16 + 179\/16. Calculate the common denominator of (14\/(-4))\/((-23)\/(-9)) and j.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011010 - 11110100100101?\nAnswer: -11110001001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 11 = 5*n, 0 = 4*j + j - 2*n - 136. Calculate the remainder when j is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -396857 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3662239562 and 2.\nAnswer: -3662239560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-5))\/((-3)\/180*-8). What is the units digit of 3\/n*38 - 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -66\/7 in 26, 3, -0.1, 0.6, -0.3, 13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t - 34 + 59 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(6\/(-40) + 8\/20). Suppose -2 = -3*j - 3*l + p, 0 = -j - 2*l. Does 13 divide (30\/j)\/(1\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 16) to base 12.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 110*f**3\/13 - 38826*f**2\/13 - 1826312*f\/13 - 66360\/13 = 0.\nAnswer: -42, -2\/55, 395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*v + 20 = 0, -2*v = -3*q + 8*q + 12. Let p be -1*(-3 + (-1 - q)). Solve 5 = -5*b, p = 5*g - 2*b + 7 + 11 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 20?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 6. Suppose -h = -2 - j. Calculate the greatest common divisor of 1 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 - -18 - -26 - (-11 + 2)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 0)\/((-3)\/(-3)). Let x(w) = -4*w + 1. Let b be x(a). Let i be 20*-510*b\/(-6). What is i rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1485 is divided by 71.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30112, -60223, -90334, -120445, -150556?\nAnswer: -180667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*l + 35*l + 40*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/11))**41*i**(-16)\/(i**(-2\/7)\/i) assuming i is positive.\nAnswer: i**(-846\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - -4*(sqrt(52))**2) + -5.\nAnswer: sqrt(13) + 203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5056047 and 74628.\nAnswer: 20224188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of r**6\/120 - r**5\/40 + r**3\/3 + 4. Let b(h) be the third derivative of d(h). Find the second derivative of b(z) wrt z.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 3*v**2 - 5*v + 4. Let j be u(4). Suppose j = 5*s + 3 - 23. Is ((-94)\/(-8))\/(1\/s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (2\/3)\/((-22)\/(-396)) and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -9 + 43*b**2 - 2 - 44*b**2 + 15*b. Let z be o(9). Suppose k - z = 9. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 9:40 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -4. Let o = -3 - u. Suppose -2*d + d + 6 = o. Calculate the smallest common multiple of d and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/24 and 88\/15?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.192 - 0.092. Let b(p) = p**3 + 4*p**2 + 4*p + 3. Let i be b(-3). Let d = i - -4. Sort 3, m, d.\nAnswer: m, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 6*d**2 - 4*d - 2. Let i be q(5). What is i rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**3*v**2 + 2*g**3 + 176*g**2*v + 102*g*v**2 + 4*v**2 wrt g.\nAnswer: -12*g*v**2 + 12*g + 352*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24.4518 + -24.5. What is x rounded to three dps?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 11*g**2 - 60*g + 4. Let v be f(-15). Let w be (2 - 3 - v)\/(-5). Which is the closest to w? (a) -1\/4 (b) 1\/2 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-18) + (-64)\/180. Let k = -95.8 - -95.8. What is the nearest to k in 3, 2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(((w**(1\/14)\/w)\/w*w*w)\/w)*w)\/w**(2\/5)*((w\/(w\/(w*w**(-2\/3)\/w*w)))\/w)**(-26))**(-40))**12 assuming w is positive.\nAnswer: w**(-66736\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22762 - 22748.979. Let g = -13 + a. Let o = -0.02100052 + g. What is o rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.019464 to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -10)\/(-9)*-21.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 l when two letters picked without replacement from kllllllrlirr?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 3.3. Let i = -8 + 3. Let c = i + 4.8. Is s greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 126*g - 116*g - 1720. Calculate the lowest common multiple of g and 16.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/14 in 0, -118, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1694950861.\nAnswer: 2851, 594511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*-2*3*(-8)\/(-32)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4 - 3 + 59*c + 1 - 58*c - 1. What is h(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2328*f - 85. Is i(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16769 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c - 62. Let s be m(-17). Let i be ((-1)\/(-1) - -11) + (-48 - s). Solve -4*l - i*l = 13 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2553 = -2*q + 1807, -8720 = -4*q + 2*s. What is the thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 2*f - 14 = 0, -5*w + 11*f + 51 - 141 = -13 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 59042363 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1155788, -1155810, -1155834, -1155860?\n\"Answer: -u**2 - 19*u - 1155768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(-k**2 + 11*k**2 - 3*k**2) + (2*k**2 + k**2 + k**2)*(-2 + 3 - 2) + 2*k**2 + 3*k - 3*k.\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 - -12. Let s = t - -7. Let k be 11*(-3)\/21 - -2. Which is the nearest to -1? (a) 3 (b) s (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2104880.\nAnswer: 2, 5, 83, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -2*r + 2*r. Suppose 5*v - 9*v = r. Let y = 503\/4 - 126. What is the second smallest value in 12, -5\/2, v, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 9*a**2 + 2*a + 4. Let o(i) = -10*i + 75. Let b be (-28)\/(-4) + -2 + 2. What is the least common multiple of o(b) and w(9)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.0533, -4\/5, -0.2014?\nAnswer: -0.2014","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 25 = 4*v, -v - 6*p = -p + 5. Let d = -6 + v. Determine x so that x**4 - 2*x**d + 4*x**4 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 9 = 4*x - n, -7 = -x + n. Suppose 4*s - x = 4. What is the greatest common factor of s and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 1:45 AM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i + 4*f + 1, 22 = 4*i - 10637833*f + 10637838*f for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -52 + 1165. Does 21 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 610*h**2 + 53*h - 53. Calculate d(1).\nAnswer: 610","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 0*g + 5*g)*(979 - 1047 - 1424)*(-3 - 2 + 4).\nAnswer: 2984*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42869261 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 6 + 2)*(-2 + 2 + 1)*(-9 + r + 9) as q*r + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/17 (b) -393\/7 (c) 1 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -25680 and 0.1.\nAnswer: -25679.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 2*d + 9. Suppose 0 = d*o - 16 + 1. Suppose 0 = -3*h - 5*k + 26, -2*k + 29 = 4*h - k. What is the least common multiple of h and o?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a - 98 = -2*f - 9*a, -4*f + 184 = -5*a. What is the highest common factor of f and 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -874991 less than or equal to -874994?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*m = -94, -5*m + 0*m - 1 = -v. Let o(q) = q**3 - 27*q**2 + 27*q - 11. Let w be o(v). Solve -5*b + 22 = 2*t, 3*b + 4*t - 1 - w = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of (-675)\/((-10)\/(450\/207) + 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1295676 and 3378.\nAnswer: 729465588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a - 2*a + 0*a + (-1 + 1 + 8)*(2*a - 1 + 1).\nAnswer: 13*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 14*k**2 - 15*k - 18. Let l(a) = -22*a + 9. Let q be l(1). Give z(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 152 - -472. Let i = q - 229. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 15, l: 5}?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 233658 and 18?\nAnswer: 233658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 4*m - 8 + (m - 2*m + 0*m)*(3 + 3 - 7) + 2*m - 2*m - 2*m)*(6 - 16 - 9).\nAnswer: -57*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/9))**37*k**(-9)\/k**(4\/11) assuming k is positive.\nAnswer: k**(-520\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (297*y + 297*y - 597*y + 31)*(-2 - 2 + 1)*(-3 + 3 + 2*y).\nAnswer: 18*y**2 - 186*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + p + 15, 3*p = -4*y + 27. Solve 3 = y*b - 4*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 + -1)*(-4 - 136\/(-24)). Suppose -2*b - 314 = -t, 8 - 609 = -2*t - m*b. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -4. Let h = -2 + 1. Let q = h + 0. Which is the biggest value? (a) 4 (b) t (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706798800 rounded to the nearest one hundred thousand?\nAnswer: 706800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5 + -0.318?\nAnswer: -2.818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-10 + 5 + -2 + 13)) + 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6 and 42.448871.\nAnswer: 36.448871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68 - 45 - 37 + 15*b**2 - 14*b**2.\nAnswer: b**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wj when two letters picked without replacement from {g: 5, w: 4, j: 4, l: 1, i: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/52860 and 157\/149919770.\nAnswer: 899518620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 32245 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 117, 137, 155, 171, 185, 197?\n\"Answer: -l**2 + 23*l + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 294269 to the power of 1\/2, to the nearest integer?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.554026 nanometers in micrometers?\nAnswer: 0.006554026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-227)\/(-9) + 116\/(-36) + 3. Let f = 177 - 72. Suppose 2*o + 3*b - f = 0, -s = -b - 4*b. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: c (base 13) to base 6\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 838946 is divided by 1816.\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 9 + (-17 - -8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45209039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -183 - -185. Suppose -5*i - 8060 + 8180 = 0. Solve -2*s = 5*z + 2 - i, t*s = 3*z - 10 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -3, -2\/125, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mvmljdmdrjmddjmm. What is prob of sequence mvml?\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m - 8. Let w(o) = -5*o - 26. Let c = 36 - 43. Let x be w(c). What is h(x)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/15*8370\/(-4650).\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(228))\/sqrt(12)*-3*2.\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*q**6 - 284*q**4 - 2*q**2 + 6106*q + 1?\nAnswer: -360*q**3 - 6816*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23\/2 or 317?\nAnswer: 317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*s**3 - 95*s**3 + 53*s**3.\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x**3 - x**3 - 1051*x + 1052*x - 3 in the form v*x + h*x**3 + a*x**2 + n and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 divided by 3?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 174902593*x**4 - 45636461 with respect to x.\nAnswer: 699610372*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75738960 divided by 96360.\nAnswer: -786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v\/v**(-8)*v**(-7)*v)\/(v\/(v\/v**(-2\/5))*v**8) assuming v is positive.\nAnswer: v**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 - -59 - (24 + -5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2*t + 18 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1408 = -10*a - 1612. Let y = -298 - a. Let 0 - 1\/7*t**5 - 1\/7*t + 2\/7*t**3 + 0*t**2 + 0*t**y = 0. Calculate t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1486747 and 0.3?\nAnswer: 446024.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 314 - 319. Let u be (-209)\/l + 9\/45. Calculate the highest common factor of 70 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k + 5. Let o(s) = -4*s - 6. Let r(i) = -7*n(i) - 6*o(i). Suppose 2*t + 0*t - 2*j = -10, -4*j + 23 = -5*t. Determine r(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = r - 4. Suppose -4*o + r*l + 12 = o, -l = -2*o + 4. Solve 4*b - b = 4*j - 7, 4*j = o*b + 12 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t\/t**(-2\/9))*t)\/t)**(-14\/5)\/(t**(1\/5)*(t*t**(3\/7))\/t) assuming t is positive.\nAnswer: t**(-884\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is four sevenths of a week in hours?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a - 14. Let k be b(7). Let w = 2 + -8. Which is smaller: k or w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89537, -89540, -89543, -89546?\nAnswer: -89549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -42*c - 37. Calculate l(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -11 - ((52 - 41 - (1 - -10)) + 17)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = v + 3. Suppose -3*s + v*b = -8*s + 5, 0 = -s - 2*b - 1. Let p be s\/(-21) + 55\/(-154). What is the nearest to p in 3, -3\/8, 1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -11. Find the third derivative of 11*w**2 + 18*w**6 + 10*w**6 - h*w**6 wrt w.\nAnswer: 1920*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = u - 3*w, -2*w = 4*u + 1 - 17 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -6*i - 2. Let b be 268\/15 - (-2)\/15. Let y be (-5 + 4)\/(3\/b). List the prime factors of w(y).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.885047m in nanometers?\nAnswer: 2885047000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and 0.07332779753?\nAnswer: 2.92667220247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 244a (base 15) in base 4?\nAnswer: 1320220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.1526*36941\nAnswer: -5637.1966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -40*132\/(-384)*(-2)\/(3\/12*-2)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -123\/7 (c) -2 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sskskskysky. Give prob of picking 1 s and 1 y.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 645648589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {f: 2, e: 2, k: 8, i: 6}?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -262*k + 234 = -256*k. Let c be 5 - 8 - (-42)\/(-2). Let d = k + c. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 12*z**2 - 24*z + 290. Let n be p(12). Solve 0 = -5*h + v + n, -5*v + 18 = -3*h + 6*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 217720618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -637, -643, -653, -667, -685, -707, -733?\n\"Answer: -2*p**2 - 635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -7. Suppose -3*p + 0 + a = 0. Put -1\/6, p, -3 in descending order.\nAnswer: p, -1\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(931) + (-3*sqrt(931) - sqrt(931))**2 - (2 + 2*sqrt(1900) - (2*sqrt(1900) + -2))**2.\nAnswer: 7*sqrt(19) + 14882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 49\/3. Which is the third biggest value? (a) -2\/7 (b) 0.1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*t**3 + 4*t**4 + 18*t**3 + (3*t**2 - 3*t**2 + t**3)*(4*t - 2*t - 3*t) + 2*t**4 - 2*t + 2*t + (1 + t**2 - 1)*(-t**2 - 1 + 4 + 3).\nAnswer: 4*t**4 + 6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248556?\nAnswer: 2, 3, 7, 11, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -791 = -3*u + 592. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -r + 2*a, -2*a = -3*r - 3*a + 127. Calculate the smallest common multiple of r and 2.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 190 + -157. Calculate the highest common divisor of f and 220.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -140 (base 7) to base 9\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9592.039 minutes to nanoseconds.\nAnswer: 575522340000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 0.4 (c) 5 (d) -20.31 (e) 2\/363\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -4. Let i(d) = d + 11. Suppose -1 = 5*w + 9. Let p(k) = 2*k + 12. Let b(u) = w*p(u) + 3*i(u). What is b(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5048620025 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 12:57 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.31773 rounded to one decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 7164801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -773, -1398, -2023?\n\"Answer: -625*z - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -4*c + 31 - 13, c - 21 = -2*c for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8805 and 329213080?\nAnswer: 2935","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-10))\/(5\/2)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -643*d**3\/3 - 1113*d - 1388. Differentiate l(f) with respect to f.\nAnswer: -1286*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 + 428*t**2.\nAnswer: 2*t**2*(t + 214)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*(-12)\/(-160) - (-36)\/30. Which is the nearest to 2\/3? (a) 0.1 (b) g (c) 0.99\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4*t - 1. Let h be l(1). Suppose -d = -h, 0 = 4*z + 3*d - 11 - 94. What is the remainder when z is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 71404 - -100524?\nAnswer: 172130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**4 - q**4 - 8*q**4)*(-q - 2*q + 6*q)*(-2 + 6 - 2).\nAnswer: -42*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11010001001110000001 (base 2) in base 5?\nAnswer: -204410321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 2*z + 47226, -3*v + 61*z = 58*z - 70845. Does 24 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-306)\/(-12) + (2 - 21\/6). Suppose -8*x + 4*x + k = 0. Is x at most as big as 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 5*p - 6*p = 39, 0 = 4*g + 5*p + 27. Let l be (-2)\/((-4)\/g*-1). Solve 0*x - 3*x - 15 = -l*b, -3*b - 3*x - 15 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 71, 2, -77.\nAnswer: -77, -16, 2, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence icc when three letters picked without replacement from {i: 1, c: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**5 + 63843*b**4 + 319193*b**3 + 191505*b**2 - 574542*b = 0?\nAnswer: -63838, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 13*j - 9*j. Solve 2*t - 3 = j for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 17*f**2 - 18 + 21 - f**3 - 3*f**2. Let i be b(14). Factor -3*y**2 + 6 + 9*y**i + 9*y**2 + 3*y**2 + 21*y + 15*y**2.\nAnswer: 3*(y + 1)**2*(3*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**4)**(1\/29)\/(i**(-12)\/((i*i**(2\/13)\/i*i)\/i)) assuming i is positive.\nAnswer: i**(4634\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34395 + -17960. List the prime factors of k.\nAnswer: 5, 19, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -7*p**3 + 6*p. Let s = -130 + 256. Let h(g) = 13*g**3 + s*g - 143*g + 7*g**3. Calculate 6*h(w) + 17*o(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -43. Let o = 116 - r. Calculate the highest common divisor of o and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 32828 = -49351. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0 (b) 9\/2 (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 69532466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 12:32 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19.5 - 3.5. Let d = n - 14. What is the second biggest value in d, 2\/13, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4801524 nanometers in kilometers?\nAnswer: 0.0000000000004801524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -501 - -512. Solve 4*u - 2*u + z = -3*r, 5*r - 5*u + 10 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4132)\/(-22) + (-4)\/(-1). Let o = -192 + l. Which is the closest to 2? (a) o (b) 0.1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -59118 - -90016. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30 - 144020?\nAnswer: -143440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11220 (base 3) in base 10?\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = a + 17. Suppose -2*h + 0*q - q + a = 0, 4*q + 12 = 0. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217005 divided by -37?\nAnswer: -5865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -191*x + 113323 - 100526 for x.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u - 6. Let v be f(-5). Let t = -0.973 + 0.099. Let w = -0.174 - t. Which is the nearest to v? (a) -1\/6 (b) w (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9 - -4)\/((-2)\/(-24)). Let z = -154 + h. Which is the nearest to z? (a) 0.2 (b) -1 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 65*f + 3. Let x be k(-3). List the prime factors of (x\/(-56))\/(2\/7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 7:23 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r - 10. Let p be k(-22). Let o be (p + -4)*(-3)\/6. Let l = 0.1 + 0. Which is the second smallest value? (a) o (b) -5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241786082431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*r\/(r\/(((r*r*r*r**(-43))\/r)\/r))))\/r)\/r*(r\/(r\/r**(-2\/103)))\/r)**(-1\/45) assuming r is positive.\nAnswer: r**(-803\/927)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 46\/2*(4 - 7). Let j = m + 159. What is the highest common factor of 10 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 165*p**2*s**5 + 26704048*p**2*s - 17747*s**4 wrt s.\nAnswer: 3300*p**2*s**3 - 212964*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -o**5\/60 + 3*o**4\/8 - o**3 + o**2. Suppose -474*f - 119 = -491*f. Give s(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 1359*f**4 + 4888*f + 3200. What is the first derivative of p(y) wrt y?\nAnswer: 16308*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(16\/(-14)))\/(9\/18). What is the biggest value in 1, -1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 3:37 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/12)\/(((-33)\/36)\/11).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -1, 1\/2, -4, -14.\nAnswer: -25, -14, -4, -1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s + 2. Let g be c(-1). Suppose -5*o = -o - 4*h - 40, -g*h = 4. Sort 5, 3, o in ascending order.\nAnswer: 3, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2880868217?\nAnswer: 19, 113, 499, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -301*j**2 - 483*j**2 + 27 - 57 + 6*j + 9 wrt j?\nAnswer: -1568","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -408, 5, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 (base 8) in base 6?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -3*u**2 + 20*u + 0 - 281\/12*u**4 + 1\/3*u**3. What is the second derivative of m(f) wrt f?\nAnswer: -562","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (290\/15)\/((-4)\/6)*-3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2905 - 0.287441. What is x rounded to four dps?\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddddddd. Give prob of picking 2 d.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 444355.\nAnswer: 5, 181, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -382 - -400. Calculate the least common multiple of 81 and m.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*c. Suppose c = 4*b - b. Solve -5*t - 40 + 15 = b for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40482598.\nAnswer: 2, 13, 119771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 65768362?\nAnswer: -65768366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.86057 and -19722?\nAnswer: 19720.13943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -10*h - 6. Let i(z) = 2*z**2 - 22*z + 22. Let s be i(10). Suppose 0 = -s*w + 27 - 9. Calculate the remainder when d(-4) is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhl when three letters picked without replacement from {h: 6, l: 7}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 68*h**2 + 29407 - 29407)*(-16*h + 48*h - 19*h).\nAnswer: 884*h**3 - 39*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 2*b + 5 + 9, -3*l = 5*b + 21. Let w(q) = 2*q - 5. Let d be w(7). Let u be (d\/12)\/((-2)\/8). Are b and u nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1710.5420003 + 1837.542006. Let h = -2.31 - -129.31. Let a = h - u. What is a rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -9. Let c = 238\/3 + -3. Let f = 77 - c. What is the third biggest value in p, f, 10?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 382837903?\nAnswer: 7, 29, 307, 6143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -468 - -468. What is the nearest to m in 0.5, 0.08, -3?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6552, 6354, 6156?\nAnswer: 5958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 + 37. Suppose 3*l = -k + 15, 2*k + 0 = l + c. Solve -k*m = -5*m + 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/52970 and 65\/2.\nAnswer: 52970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 10. Suppose t*d = 58 - 2. Solve -2*s = -3*h - 16, -s = 4*h - 5*s + d for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j + 451. Let i(r) = -9619*r + 2. What is m(i(y))?\nAnswer: 19238*y + 447","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 12. Let u be (2 + -4)*(-9)\/q. Let m = u + 55. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -147994, -147852, -147712, -147574, -147438, -147304?\n\"Answer: -w**2 + 145*w - 148138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -2*r**3\/3 + 7. Suppose -16 - 44 = -l. Let t(i) = -7*i**2 - 60*i + l*i. Determine v(t(m)).\nAnswer: -98*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*(-1 + sqrt(11))**2.\nAnswer: -2*sqrt(11) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a meter in millimeters?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5*c = 3*b - 51, 5*b - c - 55 = 0. Let q = 0.165 + 0.035. What is the closest to b in q, -0.1, -3\/8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1002.52049548 - 0.33\nAnswer: 1002.19049548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a\/(a\/a**8)))\/((a*a**8)\/a)*a**(2\/31)\/a**(2\/3)*a**(-9)\/(a*a\/(a*a**(3\/4)\/a))*(a\/(a*a*a\/(a**2*a)))**22 assuming a is positive.\nAnswer: a**(-1061\/372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21319 = -270*o - 4039 for o.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -0 + 14. Suppose -j = -4*y + 3*t - 0*t, -5*t - 10 = 0. Solve 0 = -7*c + y*c - 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*p**2 + 34*p**3 - 9 - 6*p - 33*p**2 + 16*p**2 + 8 - 101*p**3 to h*p + l*p**2 + z + n*p**3 and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -3472 - 3.06.\nAnswer: -3475.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 + 0 + -5)\/((-1)\/(-2)). Let o be (10\/l)\/(1\/6). Let c(v) = v**3 + 3*v**2 - 4. Determine c(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -o**8\/1848 - 5*o**7\/231 - 19*o**6\/110 + 266*o**5\/165 - 98*o**4\/33 + 27*o**2 + o. Determine x, given that q(x) = 0.\nAnswer: -14, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 65 - 345 = -5*g, -60*g = -3*k - 63*g + 186 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -47? (a) -1 (b) 2\/5 (c) 4 (d) 14 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17708 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76017 is divided by 25337.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 41 = -3*r - f, 0 = 3*f + 15. Let c = r - -69. What are the prime factors of c?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3060)\/(-380) - (-3)\/(-57). Suppose -5*u + 2*o = 7*o - 30, -5*u - 4*o + 30 = 0. What is the highest common divisor of i and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 104933977?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 341248 divided by 31\nAnswer: 11008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 959, -19, -4, 5, 1 in increasing order.\nAnswer: -19, -4, 1, 5, 959","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.7 - 10.7. Let h = s + 10.3. Sort -2\/3, h, -2 in decreasing order.\nAnswer: h, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -7383*k**2. Let z(s) = -s. Give z(l(x)).\nAnswer: 7383*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 22 - -338e?\nAnswer: 33b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -120293498?\nAnswer: 120293499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0457949 - 0.3241764. Let i = m + 0.37. Round i to six decimal places.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h**4\/4 - 109*h**3\/4 + 2061*h**2\/4 + 7029*h\/4 = 0. Calculate h.\nAnswer: -33, -3, 0, 71\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45)\/sqrt(5))\/sqrt(3))**2*-2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7473624 divided by 934203\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144 = 17*o + 6*o - 86 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 392 divide 1064280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 1 = 0, 3*v - 6*v - 3*t + 12 = 0. Which is the nearest to -0.2? (a) -1 (b) v (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35398082.\nAnswer: 2, 487, 36343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is 142434 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o + 5*j = 3*o + 25, -j + 10 = 2*o. Solve 3*w + 5*m - 16 = 0, -o*w - 2*m = -3*m - 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1202 and -13500.\nAnswer: -14702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = m + 6. Let j be m\/(-2) - 43\/(-2). Suppose -4*u - 679 = -4*s - 59, -313 = -2*s + 5*u. Calculate the greatest common factor of s and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -8, 3\/2, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/4)\/(10\/((-640)\/24)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2. Let k(v) = 35265*v. Determine w(k(x)).\nAnswer: -1243620225*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 322233759?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1567*-0.59.\nAnswer: -0.092453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10111 (base 2) to base 12\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - -9)*12\/5. Suppose 8 = 4*x - m, 4*x = 5*m - 3*m + j. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 870*d**2. Let o(a) = 6509*a**2. Calculate i(o(w)).\nAnswer: 36859360470*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -5*r - 1. Let g(i) = -9*i - 1. Let h(a) = -a + 12. Let v be h(8). Calculate v*g(z) - 7*y(z).\nAnswer: -z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -726, 141, 165 in ascending order.\nAnswer: -726, 141, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, b: 2, k: 1, m: 4, g: 4, y: 1}. What is prob of sequence pgb?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, i: 3, n: 1}. Give prob of picking 1 z, 1 n, and 1 i.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 14*x + 16. Let s(c) = 5*c + 5. Give 6*n(h) - 17*s(h).\nAnswer: -h + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 868961 divided by -28031.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12872 - -24262. What are the prime factors of k?\nAnswer: 2, 3, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*d + 272*d**3 - 55*d + 218*d**3 + 235*d**3.\nAnswer: 725*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/3 + 173447*z\/3 + 10243816.\nAnswer: -(z - 173624)*(z + 177)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 2*y**6\/3 - 4*y**5 + 8*y**4 - 16*y**3\/3 + 288. Factor g(l).\nAnswer: 4*l**2*(l - 2)**2*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 135*r. Let m(g) = 773*g**2 - 5*g. Give m(t(f)).\nAnswer: 14087925*f**2 - 675*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 4:02 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = f + 5, f - 2*f - 1 = -w. Let n = -71 - -21. Let j = 48 + n. Does j = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.6 (b) 233 (c) -2 (d) 5 (e) 5\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 198*t + 129*t**2 + 17*t**2 - t**3 - 144*t**2 to u*t**3 + o*t**2 + h*t + d and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 59, 53, 59, 83, 131, 209, 323?\n\"Answer: q**3 - 13*q + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1474 divide 675528640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + (60\/4 - 0). Suppose -3*o = o - q. Calculate the lowest common multiple of 2 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -379659.99+55.506\nAnswer: -379604.484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 129 - 46 = 0. Let a = 52 + p. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 3*z + z)*(-2*z + 4*z - z) + 0*z**2 + 2*z**2 - 6*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ellllelpqpqq. What is prob of sequence eqp?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-16\/7)\/m*m\/(m\/((m\/(m\/(m\/(m*m**(2\/67))))*m)\/m))*m*(m\/m**(-16))**(-8) assuming m is positive.\nAnswer: m**(-64870\/469)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -14*p + 1. Let q be v(-1). Suppose q = -5*x + 8*x. What is the second derivative of 2*s + 2*s**5 - 10*s**x + 6*s + 2*s wrt s?\nAnswer: -160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25839 + -25839.1. What is the closest to u in -0.1, -10\/11, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((z + 12*z - 8*z)*(1 + 2 + 0) + 4*z - 9 + 9 + (3 - 2 - 3)*(-1 - z + 1) + z - z + z)*(0*z**2 + 0*z**2 - 3*z**3).\nAnswer: -66*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 20 = 3*n, -3*n + 8*n + 3*p = 28. Suppose 0 = 2*d - n - 1. What is the second derivative of d*k - 7*k**2 - 2*k + 4*k**2 - 3*k wrt k?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59377877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167*i + 18886980 = 219*i. What is the ten thousands digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*1\/(3\/(-543)). Let q = -121 - f. Does 15 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((90\/80)\/(-1))\/(9\/(-6)). Factor 3\/4*d - w*d**3 + 0*d**2 + 0.\nAnswer: -3*d*(d - 1)*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-2) - (-35)\/(-15). Let w = -1 + 4. Let a = -2.9 + w. Which is smaller: f or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7201617290 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000082358856 rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33067 - -46798. Is 59 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 2 - (14 + -2). Let v be ((-16)\/b)\/(2\/35). Suppose -u - 4*u - 3*q = -14, v = 5*u - 4*q. Solve u*n + 2 + 2 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46*k**4 + 327*k**3 - 172*k**2 - 387*k wrt k.\nAnswer: -1104*k + 1962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28\/42 + 37\/3. Let x = n - 11. Suppose 4*k - 12 = -4*y, -x*y - 3 + 1 = 0. Solve k*g = -g - 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216 is divided by 87.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 3 (c) 0.349 (d) 0.2 (e) 9379 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, m: 1, q: 4, p: 2, h: 2, o: 8}. What is prob of picking 2 o?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -194*c**4 - 2*c**3 + 1838*c wrt c?\nAnswer: -2328*c**2 - 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q + 4. Give g(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 18. Suppose -20*f + 102 = -118. What is the remainder when f is divided by (-1)\/(-2) + a\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2822 by 614.\nAnswer: -1411\/307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**3 + 485*d**2 + 1903*d - 10101 = 0.\nAnswer: -481, -7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 0 + 3*i - 2)*(-6*i**2 - 7*i**2 + 3*i**2) + (-3 + 2 - 2)*(i**3 - 2 + 2) - i**3 + 0*i**2 + 0*i**2 + 0*i**3 - 4*i**3 + 3*i**3 + 2 - 2 + i**3.\nAnswer: -44*i**3 + 20*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 25060 and 0.1.\nAnswer: 25060.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 3*u - 10, 4*u + 3*c = -c + 12. What is the third derivative of 4*x**6 + u*x**2 + 0*x**6 - x**6 - x**6 wrt x?\nAnswer: 240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 4.4. Let l = n - 4. Let h = -0.531 + l. Round h to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vo when two letters picked without replacement from {v: 2, o: 4}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/4778676 and 58\/5145.\nAnswer: 23893380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 14*o**2 - 14*o + 19. Let d be c(13). Suppose -d*h + 28 = h. Solve 0 = 3*v - h*k + 3, -3*v - 3*k = -v + 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/1421 and 109\/9898.\nAnswer: 287042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*x + 116*x + 4*l = -35, -10 = -3*x - l for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - o**2 + 2*o - 40. Let b be t(0). Let r = 53 + b. Does 7 divide (r + -11)*(-34)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 0, -5 = -d - 4*x - 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11764, 11805, 11878, 11983, 12120, 12289, 12490?\nAnswer: 12723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12715 + -12697. What is the remainder when 968 is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -30*s + 37*s - 11, -5*w = -s + 17 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 40207 in 2\/9, 0.4, 0.2, -2\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 446476.7087 rounded to the nearest ten thousand?\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 0.0183\nAnswer: 10.0183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 770 - 306 = a - 4*n, 0 = -4*a - 2*n + 1946. Suppose 2*d - 79 = 5*t - 687, 0 = -4*t + d + a. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10883, 44251, 99861, 177713?\n\"Answer: 11121*t**2 + 5*t - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/18 and (-2)\/(40\/(-12)) + 2\/(-30)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14876919.\nAnswer: 3, 550997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -23 + -129a21?\nAnswer: -129a44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1324784?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276 is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 13 - 36 = -5*b, 5*v + 2*b = -4. Let i be (v\/(-4))\/(2\/24). What is the greatest common divisor of i and 60?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from viixxllilx. What is prob of sequence li?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 165892460 by 52748.\nAnswer: 3145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 316556743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 31698?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189 - 206 = 17*w. Let u = 0.1 - 0.1. Sort 3, u, w, -2\/13 in descending order.\nAnswer: 3, u, -2\/13, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - y + 4 = -0*n, 0 = -3*n + y - 4. Suppose n = 36*v - 15*v - 798. What is the greatest common factor of v and 304?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*a = -72 + 156 + 86 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(36)\/(-2*sqrt(147)))\/((sqrt(288)\/(sqrt(6)*-2))\/((sqrt(132) + (sqrt(132)*2 - sqrt(132) - sqrt(132)))\/sqrt(11))).\nAnswer: -sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xm when two letters picked without replacement from lsxxxmj?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 17 in descending order.\nAnswer: 17, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/70)\/((-330)\/(-385)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25 - -513?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*n - 369 = -3*n for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*w - 1 = 0. Let f(g) = -5*g**6 - 4*g**5 - 2*g**2. Let j(p) = -p**5. Let c(s) = w*f(s) + 4*j(s). Find the third derivative of c(a) wrt a.\nAnswer: 600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of 7\/3*c**3 - 1\/120*c**5 + 11\/24*c**4 + 0*c - c**2 - 3. Let d(r) be the first derivative of f(r). What is d(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 721032.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -139\/9 (b) 0.3 (c) 5\/3 (d) 2 (e) 0.72\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 192\/(-26 + 14) + 30. What is the greatest common divisor of r and 21532?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4263 + 4624.2. Let h = z + -361. Let l = 0.01 - 0.31. Which is the third biggest value? (a) l (b) -1\/3 (c) h (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1740 and 8700?\nAnswer: 8700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37981 is divided by 46.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24444*f**2 + 24514*f**2 - 73400*f**2 + 24443*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 - 6*m**2 + 5*m**2 - 7. Determine b(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b**3 + 5*b**3 - 9584*b + 21*b**2 + 1 + 9583*b + 0 to the form s*b + p*b**2 + m + q*b**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3804?\nAnswer: 2, 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2315 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -8*q + 21. Calculate w(6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 288791339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*4\/24*-1 + 2\/14*-13?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1217 + 23125\/19. Is 324 > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12933973 to the nearest integer?\nAnswer: 3596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 529002.64 to the nearest ten thousand.\nAnswer: 530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v**2 + 4*v + 0*v - v)*(2*v - 2*v + 3*v**2) to x*v**4 + l + t*v**3 + i*v + p*v**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 13. Let r be (q*11)\/((-13)\/(-26)). Let s = r + -32. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 130 and 179813894?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.2 + 0.4. Let m = -111 - -106. Put m, -1, j in descending order.\nAnswer: j, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 23*v + 24*v + 89 + 15 as g*v + q and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31525242 (base 7) to base 10.\nAnswer: 2678958","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -13263, -26495, -39725, -52953?\n\"Answer: y**2 - 13235*y - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (((-3300)\/(-16))\/(-11))\/((-12)\/32). Suppose -z*n + 41*n + 45 = 0. Which is the second biggest value? (a) 4 (b) 17 (c) n (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217827686 to the power of 1\/3, to the nearest integer?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*l = -43*l - 8. Let s(i) = 58*i + 1. Let u be s(3). Suppose -5*h + 5*c = -u, 2*c + 137 = l*h + c. Calculate the remainder when h is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, -2, -53955 in increasing order.\nAnswer: -53955, -2, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -21*k + 28. Let x be z(2). Which is the fourth biggest value? (a) 3 (b) -1 (c) x (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 7:11 PM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3150 divided by -30.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05936 * 0.5.\nAnswer: -0.02968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.5336654 millennia?\nAnswer: 533.6654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-2)\/(-14)*14\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 0*r + 4 = -5*m, 860*m - 190 = 851*m - 5*r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 14.35. Let q = -0.05 - y. Let z be 4 - 60*(-12)\/(-176). Which is the third biggest value? (a) -2\/23 (b) z (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5*p + 10 = -0*p, 0 = -5*q - 2*p + 4. Suppose q = 3*z + 3*z - 90. Calculate the highest common factor of 5 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k = 5*k + 15. Sort 4, 0.1, k, -0.2 in ascending order.\nAnswer: -0.2, 0.1, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 4, -12, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(176) + -2)**2 - sqrt(176)).\nAnswer: -60*sqrt(11) + 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(2*c**3 + c**3 - 4*c**3) - c + c**3 + 311*c**2 - 137*c**2 - 186*c**2.\nAnswer: -c**3 - 12*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 877*t**2*v + 736*t**2 + 2*v**3 wrt v?\nAnswer: 877*t**2 + 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -595 - 12?\nAnswer: -607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 55252, 0.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 464 (base 8) to base 15\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(-3)\/(-6)*5. Let t = -3 + w. Suppose 3*k + t*k = -12500000. What is k rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73366623, -73366618, -73366613, -73366608?\nAnswer: -73366603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -9*g**4 + 3*g**3 - 33*g**2 - 1250. Let a(v) = -10*v**4 + 2*v**3 - 31*v**2 - 1256. Let i(c) = 3*a(c) - 2*p(c). Differentiate i(d) wrt d.\nAnswer: -48*d**3 - 54*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-three quarters of a microgram in nanograms?\nAnswer: 23250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 41 and 89520?\nAnswer: 3670320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2332020 (base 4) to base 9\nAnswer: 17620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15146219.\nAnswer: 11, 1376929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - y + 20. Determine p(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -4*l**2 + 340*l + 12096 = 0?\nAnswer: -27, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 2*p + 2*x - 2, x = p + 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -60? (a) 2\/3 (b) 0.1 (c) 1\/4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -219 - -224. Which is the biggest value? (a) n (b) 1\/4 (c) 2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 237811810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 394*v - 19192. Give f(52).\nAnswer: 1296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (93\/(-9) - -3)*(-3)\/2 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 3228523196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 286 - 3144\/11. Which is smaller: v or -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j**2 + j + 1. Calculate v(3).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33229 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 90\/217 + -4\/31. Let s = 122 + -733\/6. Let m = 1\/15 + s. Which is smaller: l or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -17) + -3 - 11?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**5\/3 + 1616*l**4\/3 - 222600*l**3 + 3753792*l**2 + 196135632*l = 0. Calculate l.\nAnswer: -22, 0, 42, 798","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 340\/255*(-2 - -5). Sort s, -6, -30 in descending order.\nAnswer: s, -6, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/13)*l**(-10) assuming l is positive.\nAnswer: l**(-128\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 49*j**2 + 20*j + 20. Let b be r(-1). Which is bigger: b or 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1260\/126*(-2)\/(-4)*-7.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 562789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three eighths of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z\/((z*z*z**0)\/z)))**(2\/127))**(2\/15)\/((z**(2\/13)*z*(((z\/(z**3\/z))\/z)\/z)\/z)\/((z**(1\/12)\/z)\/z**2)) assuming z is positive.\nAnswer: z**(-6569\/99060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -99, -281, -415, -375, -35, 731, 2049?\n\"Answer: 21*u**3 - 102*u**2 - 23*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47 - -94. Suppose u*z = 53*z - 30. Put 1\/2, 2\/33, z in decreasing order.\nAnswer: z, 1\/2, 2\/33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2402, -9613, -21632, -38459, -60094, -86537, -117788?\n\"Answer: -2404*o**2 + o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of 7*r**4\/24 - r**3\/2 - 9*r**2. Let t(k) = -15*k + 6. Let h = -13459 + 13450. Calculate h*m(j) - 4*t(j).\nAnswer: -3*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -34b3aa1 + 3b?\nAnswer: -34b3a62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus 0.44828?\nAnswer: -0.05172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one tenth of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 17, 9, -9, -37?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-1)*a)\/a)**(-9\/11)*a*a*a\/(a*a**(-1\/32)*a*a)*a*a*a**13*a*a assuming a is positive.\nAnswer: a**(5419\/352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 14*k + 1. Let i(j) = 13*j. Let h(n) = 4*i(n) - 3*z(n). What is the tens digit of h(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -105 (c) -0.2 (d) 3\/5 (e) -1 (f) -2\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2342 + 2365 = 23*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, 50, 0.5, 3\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1110\/271 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((99\/(-9))\/110)\/(((-84)\/(-35))\/3)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3222246 + 5?\nAnswer: -3222241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 9*r - 3*r + 5*r + 3*r**2 + 11. Let h be 3*-1*(-44)\/(-12). Let z(d) = -2*d**2 - 6*d - 6. Let m be (-4)\/(-4)*(-8 + 2). Give h*z(v) + m*b(v).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three fifths of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68957904?\nAnswer: 2, 3, 1436623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3290*f + 679*f + 31776 + 2167 = 0 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 5*m + 20 = 0. Let a(k) = 10*k**3 + 2*k**2 + 4*k - 5*k**2 - 11*k**3 + 6 - 4. What is a(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76058, -75895, -75636, -75287, -74854?\nAnswer: -74343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1094 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1237600338)\/(-65) - 5 - (-2)\/(-10). What is n rounded to the nearest 1000000?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (3 - 74) - -2. Suppose -3*z = -h - 124, -255 + d = -5*z - 5*h. Does 12 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + -24530130?\nAnswer: -24530136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3475190521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1902\/5 + 368. Let p = -8 + 4. Let s = p - 10. What is the common denominator of u and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-118)\/413*(-1*2)\/(2\/1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 7 = 14. Let u be 13\/6 - (-2)\/(-12). Suppose -u*b - b + 27 = 0. Solve 4*l + b = -r for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - (-5 + 2))\/1. Suppose 14 = -s*g + 5*p + 61, g = 4*p + 20. Suppose 479 = -44*u + 139*u - 376. Is u smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63297945*h - 15042 = -63298054*h for h.\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22665262.\nAnswer: 2, 11332631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 495.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/2*l + 9\/2*l**2 + 3\/2*l**4 + 0 + 9\/2*l**3 = 0 for l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {h: 3, c: 3, j: 1, d: 5, u: 1, m: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 167 + -168.11. Let g = 0.48 + q. What is g rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 - 2*m**5 - 4*m**3 + 3*m**3 - 4*m**4 + 0*m**5.\nAnswer: -2*m**3*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -0.1. Let r = 0.8 - l. Let j = r - -6.1. What is the nearest to 0 in 1, j, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 5)\/((-882)\/(-945)).\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f*f**6*f)*f*f\/(f\/((f**(-1\/4)*f)\/f*f))*f*f**(2\/5)\/(f**(-2)\/f)*(f**(1\/3))**(-10)\/(f*f\/(f**(-1)\/f))**(-40) assuming f is positive.\nAnswer: f**(9349\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + 8\/12*3. Let a = 353 + -268. Calculate the greatest common divisor of v and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 111 - 109.16. Let w = g - 1.64. Let q = -0.2 + 1.2. What is the third smallest value in 3, w, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2158 and 498?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -7*w**4\/20 + 23*w**3\/15 - 5*w**2\/2 + 9*w\/5 + 65. Find z, given that g(z) = 0.\nAnswer: 1, 9\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2158.95 + -2093. What is h rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2207*l**4 - 2*l**3 - 38150*l**2.\nAnswer: -52968*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 160777 and 473.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1698 is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 3*a**2 - 5*a - 4. Let i be u(-3). Let g = i - 7. Suppose 3*b = 4*d - 73, -2*b = -6*b + g. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134, -554, -1256, -2240?\nAnswer: -3506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 4*z - 2*v, 45*v + 41 = 8*z + 44*v for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 12 = -2*a. Let h(u) = u + 6. Let f be h(a). Let k be 11 + f + (-3 - -2). Solve 0 = -2*i - k + 3 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/4*400556\/192575\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40628 and 139296?\nAnswer: 975072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4*x - 2. Suppose 0 = -3*k + 2*b - 3*b - 72, 0 = -4*k + 5*b - 96. Let l be k\/10*30\/(-9). Calculate the greatest common factor of x and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 184 (b) -1\/244 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 105166072747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(3 + -1 + 4). Let l be 36\/24*1\/6. Sort -1\/9, f, l in descending order.\nAnswer: f, l, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/4*((-4)\/(-3) + -3). Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4*u + 52. Determine z(16).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 32985 + -405?\nAnswer: 32580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-3)*90\/(-36). Suppose 5*w = -25, y*q - 1325 = w + 4*w. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 882520223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 - 39. Let b be (-1)\/(-11)*(-4)\/(-2). What is the second biggest value in b, j, 0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24728 is divided by 97?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 l when two letters picked without replacement from addlu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3095321, -6190647, -9285977, -12381311, -15476649, -18571991, -21667337?\n\"Answer: -2*z**2 - 3095320*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a tonne in kilograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o - 5680 = -87*o - 1412 for o.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o**6 + 27184*o**3 - o**2 + 63*o - 55?\nAnswer: -120*o**3 + 163104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -152*g + 15. What is the hundreds digit of p(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 - (-1 + 0 + 2 + 3 + (377 - 382)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -m**5\/30 + 16*m**4 - 191*m**3\/3 - 2*m**2 - 3743*m. Solve x(f) = 0.\nAnswer: 1, 191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/4*1*4. Let l be (-1 - h) + 0\/(-2). List the prime factors of (-1)\/(1\/(-6)*l).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -5*i**4\/3 + i**2\/2 - 132*i. Let r(o) = -o. Calculate a(r(c)).\nAnswer: -20*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 800463562 to the nearest integer?\nAnswer: 28292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 769?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w**2 - 13*w - 9. Let h(j) = j**2 + 6*j + 4. Let t(p) = 5*h(p) + 2*k(p). Suppose 2*f - 3*q = 27, 4*q + 19 = 12*f - 15*f. Give t(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 y, and 1 n when four letters picked without replacement from nyrknyhkz.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 33.2 times -4\nAnswer: -132.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 9:15 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 4*s**3 - 3*s**2 + s + 2. Let d be r(2). Let z = 127 - 111. Calculate the highest common divisor of z and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x + 6. Let q be f(0). Let h(w) = 30*w**2 - 13*w - 1. Let p be h(q). Let m be (-1 - (-2 + p))*-95. Round m to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 11:57 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 3*d = 34, -7*d - 13 = -2*q - 8*d for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tsy when three letters picked without replacement from dtttsdytttttdtsd.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -421 and -419 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9048, -9051, -9056, -9063, -9072, -9083, -9096?\n\"Answer: -a**2 - 9047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*d + 4*u, 16*u = -3*d + 12*u + 31. Put -2, d, -1 in descending order.\nAnswer: d, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 40 = 5*o + 36, -12 = t - 5*o. Sort -3, 3, t.\nAnswer: -3, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of z**6\/60 + 7*z**5\/25 - 29*z**4\/60 - 6*z**3\/5 - 139*z**2. Suppose s(m) = 0. What is m?\nAnswer: -9, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6 - 14 - 7 + 11*z + 3*z wrt z?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 11*o**2 - 48*o - 532. Determine l(-8).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 580 - -1?\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w**2 + 17*w + 10. Let f be a(-5). Let i(m) = m**2 - m + 2651. Is i(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 322, -1, 5 in increasing order.\nAnswer: -1, 5, 322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13186 and 694?\nAnswer: 13186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -61*d**3\/2 + 40079*d**2\/2 - 657*d = 0.\nAnswer: 0, 2\/61, 657","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a**2 + 18*a. Suppose -79*r + 105 + 369 = 0. Calculate p(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 36*p + 436. Determine d(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -257?\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -79\/2*f**2 + 0*f**4 - 2\/3*f**3 + 0*f + 0*f**5 - 41 - 4*f**6. What is the second derivative of p(w) wrt w?\nAnswer: -480*w**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 69*f**2 + 5 + 72*f**2 - f**3 - 6*f - 148*f**2. Suppose -5*d = 25 + 5. Let z be x(d). Solve z = -w + 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s + 2. Let x be m(0). Suppose z + z - 8 = x*i, -16 = 2*i - 4*z. Let h = 4 + 12. Solve -3*t - t + h = i for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ulei when four letters picked without replacement from {l: 1, u: 3, o: 1, i: 3, e: 4, g: 3}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34 - 2?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -34 (c) -0.5 (d) 19\/41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -17. Let o = 801 - 798. Sort u, o, -5, 0 in increasing order.\nAnswer: -5, 0, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 r when four letters picked without replacement from drrrrdd?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.12 + -8.12. Let i = 7 + f. Put i, -3, -4 in ascending order.\nAnswer: -4, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/3 + 1904*t\/3 + 906304\/3.\nAnswer: (t + 952)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 2*g + 6 - 1 = 0, w + 5*g = -6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/3)\/((-1)\/(-3)). Suppose -3*s = -4*t - 27, 2*t + 5*s - 3 = -36. What are the prime factors of 22\/(h + t\/3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 37705?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -r**6\/60 + 97*r**5\/270 + 64*r**4\/27 + 52*r**3\/27 - 8*r**2 - 5*r. Let k(m) = 0. What is m?\nAnswer: -2, -2\/9, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -119679299 or -119679300?\nAnswer: -119679300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16913 + 16915. Is 587 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zp when two letters picked without replacement from nsnipzi.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 29 (b) 0.6 (c) -0.5 (d) -11\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 511830284 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 * -488.\nAnswer: 8296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*m**5\/9 - 832*m**4\/3 + 880*m**3 - 9124*m**2\/9 + 1376*m\/3 - 64 = 0 for m.\nAnswer: 1\/4, 3\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrrprrrrrrrrprrr. Give prob of sequence pr.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 44386.\nAnswer: -3\/22193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*t**2 + 0*t**3 - 98*t**2 + 2*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -8*r + 10*r. Let y be (-2270)\/(-22) - 2\/r. Let m = -78 + y. What is the remainder when m is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01586 to 3 dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -9411*p + 3. What is x(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence reer when four letters picked without replacement from {r: 9, e: 9}.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {g: 2, l: 5}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (1 - (-3 - -3) - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-98*d**3 + 763*d**3 + 213*d**3)*(d - 26 + 26) as x + j*d + b*d**2 + u*d**3 + s*d**4 and give s.\nAnswer: 878","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5494, -5493, -5492, -5491, -5490, -5489?\n\"Answer: t - 5495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1258256267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 2*j + 6. Suppose 0 = -3*y + j + 7. Solve -5*p - 13 + y = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.86 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = -15*s + 35849 + 26182. Calculate the highest common factor of 1023 and s.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.3? (a) -1\/9 (b) 18 (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 12 = 3*t + 2*r, -16 = 8*r. Let c(y) = 41*y + 5. Let f(w) = 10*w + 1. What is t*c(n) + 9*f(n)?\nAnswer: 8*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9732, 9755, 9794, 9849?\nAnswer: 9920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.9, -4\/5, -437217?\nAnswer: -437217","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 74\/5 of a millimeter?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jxxjjvjtjxxjnjttjxj. Give prob of picking 1 j and 1 x.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2112652 is divided by 99?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(2\/5)*v)\/(v**(-5\/2)*v))\/(v*v\/((v**1*v)\/v*v)*v*(v*v\/(v**(-4\/3)*v))\/v) assuming v is positive.\nAnswer: v**(23\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -31.4*8\nAnswer: -251.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-12)*46)\/((25\/(-10))\/(135\/36)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 777 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**3\/3 + 19754*k**2\/5 - 1134518*k\/15 + 736406\/5 = 0.\nAnswer: 11\/5, 17, 5907","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.08823 and -5?\nAnswer: 5.08823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h - 2 + 1 + 4*h. Let j = -23 + 32. What is the lowest common multiple of j and y(3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 212 = 3*a + 20, -x = -4*a + 266. Suppose -2*z = -2*g - z + a, 2*g + 5*z = 90. Which is smaller: 37 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 6 (b) 2 (c) -1\/43 (d) 0 (e) -0.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.02 + -0.02. Let f = x + -1.9796. Round f to 3 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 5*s - 30 = 0, 2*s = 9*g - 8*g - 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 1307*t**2\/2 - 524*t + 854. Find the first derivative of x(v) wrt v.\nAnswer: 1307","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007379818 rounded to 7 dps?\nAnswer: -0.0000738","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120020 + 10201002121001?\nAnswer: 10201010011021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -1086. Let i = -749 - n. Let u = 726 - i. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -179*q - 1. Let p(o) = 8*o + 1. Determine -a(d) - 6*p(d).\nAnswer: 131*d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.0827883 rounded to one dp?\nAnswer: 36.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1600\/10)\/(-1*1\/(-2)). Calculate the greatest common factor of 40 and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*g, 4*a = -g + 13 + 20. Let d be (-1500)\/984 + a\/6. What is the nearest to d in -0.2, -5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2545*w**4 - 2100*w wrt w?\nAnswer: -30540*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 610623*q = 610820*q + 13199 for q.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4681623, 9363259, 14044881, 18726483, 23408059, 28089603?\nAnswer: 32771109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -90*r + 84*r + 36 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66\/12)\/(((-900)\/(-168))\/(-75)).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1 - (5 + -6 + -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 f when two letters picked without replacement from {f: 1, c: 7}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -82847.69 to the nearest ten.\nAnswer: -82850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 0, -5 in ascending order.\nAnswer: -33, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 484 - 268. Suppose -j = -352 - a. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3617 divided by -3617.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, -0.5, 2\/49, 1, 55, 2\/11 in decreasing order.\nAnswer: 55, 1, 2\/11, 2\/13, 2\/49, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-20)\/6*-3)\/1. Suppose 0 = 4*b + 4*c - 20, v = b - c - 3*c. Let j(h) = -h**2 - 69*h - 1130. Calculate the least common multiple of b and j(-28).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11.3192 - -0.0133. Let c = a + 11.3. What is c rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00061367403 to six decimal places.\nAnswer: 0.000614","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 9. Let f = z + -6. Suppose 3*o + 7 = 4*o - 3*b, f = b + 2. Which is smaller: o or 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 131*i - 3. Let n(f) = 7*f**2 + 10*f - 5. Let h(u) = -u**2 - 2*u + 1. Let m(c) = 5*h(c) + n(c). Determine t(m(j)).\nAnswer: 262*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m**2 - 2*m - 4. Let x be n(5). Let a = x - -230. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b - 19. Let p be 2\/(-3 + 5)*(-2 + 2). What is k(p)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c - 4. Let m(t) = 8*t - 16. Let h(d) = -2*m(d) + 9*u(d). Give h(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 13*s - 18. Suppose -2*l = 5*g - 27, -2*g = -l + 3 + 6. Calculate the remainder when r(17) is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2214 + (-3 - -2))*(-24 + 22).\nAnswer: 2, 5, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**2 + 285*z + 0 + 1 - 122*z - 151*z to the form w*z + y*z**2 + l and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2. Let i(x) = -x**2 + 6*x + 9. Let p be i(7). Let m be g(p). Suppose -m*s + 6 = 4*o - 3*o, s - 10 = 4*o. Solve 3*r = 2*k, -6*r + s*r = -3*k for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-6*(sqrt(68)\/(-2*sqrt(4)*-2 - sqrt(4)) - (-3 + 1*sqrt(272)))**2.\nAnswer: -4276 + 396*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o + 4*o + 4*o**3 + (-3 + 3 - 2*o)*(12*o**2 - o**2 + o**2).\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 518075 is divided by 2132.\nAnswer: 2131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 54*v + 6*v + 120 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 32044?\nAnswer: 32040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 173005 a multiple of 360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -9*x - 38. Give n(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/11 and 85\/32.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + b**2 - 2*b. Suppose -2*o - t + 4 = 15, 0 = o + 5*t + 28. Let v be h(o). Is 2\/3*(-90)\/v a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 415505 + -245?\nAnswer: 415220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(1\/21))\/l**(-4\/7) assuming l is positive.\nAnswer: l**(32\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 7*x - 6. Let b be i(2). Suppose 4 = b*c - 0*c, -c = -2*y + 137. Calculate the remainder when y is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46 - -75. Let v = 2201095.00022 - 2201066. Let q = b - v. What is q rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 1)*(3*c**2 + 3*c**2 - 3*c**2) + 5 - 5 - 6*c**2 in the form a + r*c**2 + k*c and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 129 + 275. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1.76174mg?\nAnswer: 0.00000176174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 999*v - 16. Calculate b(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 9*y**2 + 8*y + 10. Let b be i(9). Suppose -r - 2*q + b = r, 3*r = -2*q + 127. Let n = -7 + r. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**15\/c*c)**43 assuming c is positive.\nAnswer: c**688","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-3))\/2 - (2 - 7). What is the highest common divisor of g and 144?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -7*v + 1. Let c be n(6). Let p = c + 102. Suppose 4*w + 21 = p. Which is smaller: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (43 - 17 - (-18 + 2)) + 3 + -9?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1241 (base 9) in base 13?\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 4*j**5\/5 + 164*j**4\/5 + 1429*j**3\/5 - 3322*j**2\/5 + 2167*j\/5 - 442\/5 = 0.\nAnswer: -26, -17, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2640624 divided by -3252\nAnswer: -812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*-2)\/((14\/(-4))\/((-12)\/(-48))).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddfw when four letters picked without replacement from dwdwwwdfwf?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -392.58 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(24)\/(sqrt(8) - sqrt(8)*1*3))**2 + 5 + sqrt(576)\/sqrt(12)).\nAnswer: 23 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 37 + 16)*(-3*j + 5*j - 3*j - 2*j + 0*j + j + (j - 5*j + 3*j)*(0 + 2 - 1) - 2*j - 1 + 1 - 57 + j - 17*j + 19*j).\nAnswer: 8*j + 228","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 57\/2, -1\/2, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s + 59577 = 18*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -13\/16, 0.1, -11, 1\/5, 2\/55?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a litre in millilitres?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -11*n - 13. Calculate r(-6).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -506 = -157853*l + 157876*l for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37*l**2*p**3 - 3*l**2 + 3*l*p - 5*l + 26*p**3 - 4 wrt p?\nAnswer: 222*l**2*p + 156*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22.061 + 0.061. Let j = u - -21. Which is greater: j or -3\/14?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4111 (base 5) to base 15.\nAnswer: -256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/35)\/((-7)\/(-49)))\/(4\/(-5)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 458\/12*(-14)\/(-2121). Let d = c + -3\/101. Let 0*l**3 - 4\/9*l**2 + 0*l + d + 2\/9*l**4 = 0. Calculate l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) -7.7 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208 = 27*j + 3275. Let p = -119 - j. Solve 2 = -w, 4*n + 3*w - p = 4 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 98804640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -24 - 239?\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r - 2 + 4 - 2 + 1. Let m be ((-9)\/6)\/((-2)\/(-4)). Determine f(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c*q**2*v - 1141*c*q*r**3 + 307*c*q - 49*c*r**3*v + 7*q**2*r**3 + 213*q**2*r**2*v - 2*q*v wrt r?\nAnswer: -6846*c*q - 294*c*v + 42*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.06 + 4.06. Let m = -2 + 0. What is the nearest to m in 0.3, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -7 + n**3 + 6*n**2 + 5 + 7*n - 2*n. Let k be y(-4). Suppose -x + 27 + k = 3*q, x + q = 35. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5095*h = 406*h - 18756 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 17. Let p(j) = -j**3 + j**2 - 2*j + 3. What is p(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25198 rounded to three decimal places?\nAnswer: -0.252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -54.046277 to the nearest integer.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, 22, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.6 times -4?\nAnswer: 154.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 2*m + 5. Let c(z) = z**2 + 2*z + 4. Let y(a) = 5*c(a) - 4*j(a). Find x, given that y(x) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/86857160 and 107\/10?\nAnswer: 86857160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -11. Let v be ((-208)\/12)\/(a\/33). Suppose v = 5*c - 0*b + 3*b, -5*b + 44 = c. Is c a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4748274?\nAnswer: 2, 3, 87931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163603 is divided by 2588?\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -585740 - -898777. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fofffoffofoooffooof. Give prob of picking 1 o and 3 f.\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 321055 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 372\/37 or 1?\nAnswer: 372\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b25 (base 13) to base 12.\nAnswer: -2447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4133, -4116, -4087, -4046, -3993?\nAnswer: -3928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 10:26 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 218780?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -113, -52, 231, 850?\nAnswer: 1919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3*k - 15 = 0, w - 5*w - 3*k - 1 = 0. Find the second derivative of -20 - 31*m**2 + 13 - w*m + 7 wrt m.\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.3 and -136?\nAnswer: 448.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -397313*r = -397272*r + 492 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*t - 221 = 719. Calculate the highest common divisor of t and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 2)*(-174*a + 550 - 1649 + 553 + 546).\nAnswer: 174*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 129893 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 divided by 5?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 19*b**2 + 43*b + 22. Let v be p(-2). Solve 8*y = 12 + v for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/(-91) + 74\/26. Let h(m) be the first derivative of 1\/2*m**2 + 0*m + l. Let d(z) = -z. Give h(d(f)).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 114901 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 145*s + 11307. Determine x(-78).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**4 + v**3 + 10*v**2 - v + 1. Let k(l) = 8*l**4 + 12*l**3 - 186*l**2 + 44*l + 2. Let z(o) = -2*k(o) - 20*y(o). Find b, given that z(b) = 0.\nAnswer: -3, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (4 + (4 - (-68 - (13 + -20 - -5)))).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -652.1463 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 111164873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3427 = 2*m + 3*o, 0 = 5*m - 3*m + 2*o - 3422. Is 43 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 415 = -1305. Suppose 0 = 7*u + v - 4506. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/22)\/(12\/(-22)*(-154)\/56)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15749 - 7867 - 7882 - 28*b.\nAnswer: -28*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kuk when three letters picked without replacement from {k: 8, b: 2, u: 9}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xz when two letters picked without replacement from zzzzzxzzx.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8 - (-636 - 9)) + (-1 - -3). Let g = k - 651. Let r(p) = -2*p + 3. Let u(s) = 4*s - 6. Determine g*u(a) + 9*r(a).\nAnswer: -2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 1, 4, -1, -151 in increasing order.\nAnswer: -151, -1, 1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -2*f + 15. Let p be (-13)\/f + (-6)\/18. Solve 5*x = -5*m - 20, -p*x + 9*x - 4 = 3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -7*j - 4. Let a be i(-2). What is the remainder when ((-415)\/a)\/(3\/(-6)) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**3\/3 + 486332*y**2\/3 - 59129703556*y\/3 = 0 for y.\nAnswer: 0, 243166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -645, -640, -633, -624, -613?\n\"Answer: v**2 + 2*v - 648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2486063.\nAnswer: 17, 146239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2275 - 1232. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3349832 divided by -1\nAnswer: -3349832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8990 in 22, -0.4, -13, -1\/3, 0?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -6*y**7\/7 - 16*y**3\/3 + 15. What is the third derivative of g(l) wrt l?\nAnswer: -720*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -752143.5677+0.0811\nAnswer: -752143.4866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.108 in 3, 5, 1.24, -206?\nAnswer: 1.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -945*o - 505*o = -43500 for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12756 + -11023. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*n = -33*n + 18. Solve 32 = n*z + 30 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(1\/11)*x)\/((x\/(x\/(x**6\/x)))\/x)*x**(-2\/3)*x**(-1\/3)*x assuming x is positive.\nAnswer: x**(-23\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/24 and 113\/96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-995*z**3 + 5937*z - 5937*z)*(5*z + 4*z - 6*z - 3*z**2).\nAnswer: 2985*z**5 - 2985*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/5))**(2\/91)*(a\/(a\/(a\/(a\/a**2*a)))*a)\/a**(-1) assuming a is positive.\nAnswer: a**(1359\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -7*b**3 - 7*b**2 + 169*b + 530. Let w be h(-3). Solve 84 = 137*o - w*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -9 - 3*i**2 + 6*i**2 - 4*i**2 - 7*i. Let r be x(-3). Suppose 2*c - a = 7, -3 + 5 = -r*c - a. Let w(o) = -o**2 + 2*o - 1. Give w(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 256183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1))**(6\/11)\/(t*t*t*(t**(-1\/5)\/t*t*t)\/t*t\/(t\/(((t*t**7)\/t)\/t))) assuming t is positive.\nAnswer: t**(-514\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0, -90 in descending order.\nAnswer: 0.1, 0, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 5. Suppose -2*f = -4, 5*f = s + z*f. Let r = -8 - -18. What is the remainder when r is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(-2\/29)\/s))**(13\/6))**(19\/2) assuming s is positive.\nAnswer: s**(1235\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 6*n**2 - 121*n + 512. Determine p(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-18)\/40)\/((-213)\/(-284)). Which is the fourth smallest value? (a) 2 (b) x (c) -2\/5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 116 + -116. Suppose d = -17*y + 23*y + 24. Let w(x) = 4*x**2 - 3*x - 6. What are the prime factors of w(y)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 n when three letters picked without replacement from {b: 7, e: 7, t: 3, s: 1, n: 2}.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 16, 33, 64, 115, 192, 301, 448, 639?\n\"Answer: z**3 + z**2 + 7*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (59 - 71) + (18 - 1) - 37\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -51\/11*i**4 - 1\/11*i**5 - 354\/11*i**2 + 405\/11 - 278\/11*i**3 + 279\/11*i = 0. What is i?\nAnswer: -45, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37121203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*r + 87. What is the remainder when r is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 141156317 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4\/21*-2*(-20)\/(-48)*(-171)\/(-1330)\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 8. Suppose -j - 5 + 284 = r*v, -4*j - v + 1154 = 0. List the prime factors of j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*z**2 - 2900*z + 28293.\nAnswer: -4*z - 2900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1204 by 301.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4930 and 31552.\nAnswer: 157760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/(-84) + (2628\/7)\/(-2). Let s = h - -496. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/(-56) + 69\/21. Suppose 0 = t + 2*g - 5574, k*t + g = 3*g + 16738. Let r be t\/9 - (-4)\/18. What is r rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39371501 - 1023531803\/26. Let u = q - 4891. Find the common denominator of u and 103\/22.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 4 = -4*b - 9*z, 3*z - z = 7*z for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/308252 and 113\/3924.\nAnswer: 2774268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -3\/11, -0.7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1700)\/625)\/((-210)\/125) + -3 + 2\/2?\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 1627.\nAnswer: -10\/1627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tq when two letters picked without replacement from xqdddxctddxx?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 - -44. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 1:02 AM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h - 31 = 5 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 92 + -92. Suppose g = 9*w - 13*w + 8. Let y(h) = -h**3 + h**2 + h + 1. Let m(d) = -3*d**3 + 2*d**2 + 2*d + 2. Determine w*y(j) - m(j).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-756)\/(-198) - (-4)\/22)\/(-1) + 11837?\nAnswer: 11833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - q + 5. What is the remainder when 28 is divided by k(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1*(-3)\/(-28))\/((-1)\/(-8)). What is the closest to 1 in -1\/4, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2*a - 18 = 0, 2*a = -13*g + 564. Solve -153 = g*j + 15 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -78, -2, 5, 2 in descending order.\nAnswer: 5, 2, -2, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, o: 2, x: 9, w: 2}. Give prob of sequence wlxl.\nAnswer: 9\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11329 + -11319. Sort -366, 3, f in increasing order.\nAnswer: -366, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-338 + 337)\/((-2)\/(-58))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6823399679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-175)\/90)\/5)\/(1960\/(-210)).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -5*t + 325, -8*t + 357 = -3*t + 3*x. Does 23 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 h when two letters picked without replacement from {p: 6, g: 6, w: 4, h: 1}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 0 - 3, 5*i - 19 = -3*r. Suppose -15*d + 272 - 227 = 0. Let n(t) = -d*t + t - i*t + 6*t. Give n(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, i: 5, j: 1}. Give prob of sequence jni.\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 5*t - 2. Calculate the smallest common multiple of 28 and n(-4).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 665378 is divided by 949?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 19. Let f be r\/(2 - (-31)\/(-20)). Let y = f - -26. Which is bigger: y or -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1334ca9 (base 13) to base 5\nAnswer: -3021143301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1852805 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhbb when four letters picked without replacement from {h: 2, b: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 + -53. Suppose -5*h + 181 = 51. Let q = h + d. Solve -q*t = -3*t - 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-52)\/(-2873))\/((-396)\/858).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/4 - 65538313*y\/2 + 131076625\/4.\nAnswer: (y - 131076625)*(y - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*m**2 - 61*m**2 + 2*m**2 + 17*m**2 + 44*m**2 + 25*m**2.\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -247.3 - -227. What is m rounded to the nearest integer?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -4 (b) 2 (c) 0 (d) -46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*a - 25*a + 78 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5059595*q**3 - 7666*q**2 + 442.\nAnswer: -30357570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 - 3*u - u + 3*u + (2*u + u - 5*u)*(-1 - 4 + 3) - u + u - 2*u + 6*u - 4*u + u.\nAnswer: 4*u - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -7*j**3 + 4*j**2 - 1642*j - 6. Let y(o) = 40*o**3 - 21*o**2 + 8210*o + 33. Give -11*u(a) - 2*y(a).\nAnswer: -3*a**3 - 2*a**2 + 1642*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29420, 28916, 28398, 27866, 27320, 26760, 26186?\nAnswer: 25598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 1926356093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 11:45 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22183 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -734180.37 to the nearest one thousand.\nAnswer: -734000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + (-3 - -8) - 78\/2. Let j = -28 - x. Suppose 0 = s - j*s. Solve -t = o, -t + s*t = -o - 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*o**4 + 2*o**3 + 81878*o**2 + 2 - 6*o**3 - 1 - 81877*o**2 + 3*o as c*o**2 + m*o**4 + b*o**3 + h*o + g and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -466 - -461. What is the nearest to -2 in -3, s, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/3 + (-44)\/(-12). Let l(y) = 4*y**2 + 2*y + 1. Let n be l(-1). Differentiate -3*v**2 - v**4 + n*v**2 - d + 0*v**4 wrt v.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22150210 (base 6) in base 7?\nAnswer: 5450055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/15)\/(t\/(t*t**(1\/6)\/t)))**(-3\/26)\/((t\/(t**(-4\/5)*t))\/t*t\/t**6*(t*t**2)\/(t*t**(-2\/9))) assuming t is positive.\nAnswer: t**(7157\/2340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/23459181 and 46\/97341.\nAnswer: 23459181","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 77 + -153. Let o be (-4)\/(-6) + g\/(-12). Let r be 26\/14 - (o + -5). Is -1 bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*j**2 - 3*j**2 + j**2)*(2*j**2 - 5 + 5) + 349*j**4 - 1297*j + 1297*j - 4*j**3 + j**4 + 4*j**3)*(-2*j + j + 3*j).\nAnswer: 704*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 24?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2319.\nAnswer: 3, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.044 + 9.044. Is w < 2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -777.8 - -765. Is f at least 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5798\/(-60879) + 1138\/42.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -267422.\nAnswer: -802266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 10) in base 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -248981 divided by 4\nAnswer: -248981\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 + 8040*p - 4040100.\nAnswer: -4*(p - 1005)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o - 40. Let p = -88 + 97. Let y be q(p). Sort y, 4, -1.\nAnswer: y, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 114 + -62. Let q = o - 51.33. Round q to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -31643, -31605, -31535, -31433, -31299, -31133, -30935?\n\"Answer: 16*v**2 - 10*v - 31649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 42281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 - (-38 + (28 - 85)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/((-119)\/70) - (-17 + 18))*(4 + -2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3292 is divided by 89.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 16*w**2. Let z(j) = -17*j**2 - 9*j + 18. Let b(n) = -8*n**2 - 4*n + 8. Let a(f) = -9*b(f) + 4*z(f). Determine c(a(t)).\nAnswer: 256*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 - -2*(-3 - -277). Let k = u + -349. List the prime factors of k.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)*-3*-2)\/sqrt(2) + (3*sqrt(40)\/sqrt(4) - sqrt(10))\/sqrt(5).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-5)\/((v**(-4)*v)\/v*v))\/(v\/(v**5*v)*v\/v**(-3)))\/((v*(v\/v**6)\/v*v*v*((v*v*(v**(-2)*v)\/v*v)\/v*v)\/v)\/(v**(-1))**(-14)) assuming v is positive.\nAnswer: v**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1311, 0.2, -146\/3?\nAnswer: -146\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + 4*a - 6*a)*(2*a + 12*a - 3*a - 1)*(2 + 1 + 0).\nAnswer: 33*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + -71 + 105 - (0 - (0 - 1 - 4))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from diddpiidipfpiefefd. Give prob of picking 1 d, 1 i, and 1 e.\nAnswer: 25\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t - 39*t - 420 = 33*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 102561 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(22)\/(sqrt(288)*-1 - sqrt(288))*2.\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 70019405?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 e, and 2 l when four letters picked without replacement from xxoxolsxxolsxsueox?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 98 + 66. 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 value of (-150*6\/(-198))\/((-413)\/(-13629))?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - (-1 + 1) - (563 + 2). What are the prime factors of 28\/(-21)*2\/8*m?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4923 divided by 6.\nAnswer: 1641\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(91) + sqrt(91))*-3 - (((sqrt(91) - 1*sqrt(91)) + sqrt(91))*-2 - sqrt(91)))*-3)\/(-4*sqrt(21)\/(sqrt(147)*1))*-2.\nAnswer: 63*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 26534.48185 to the nearest 10.\nAnswer: 26530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58532990 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.27901 + -8\nAnswer: -8.27901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 491446\/84 - 6\/(-21). Let j = a - 5832. Find the common denominator of j and ((-679)\/(-105) + -7)*(-50)\/(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -6 - 2*w**2 - 3*w - 3 + 3*w**2. What is the units digit of k(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38775169?\nAnswer: 311, 124679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 3 (c) -87\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02 - -43742.00929962.\nAnswer: 43741.98929962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - 12 - (2169 - 14). Round f to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -3*a**5\/5 - 199*a**4\/2 + 902*a**3\/3 + 2036. What is the third derivative of u(z) wrt z?\nAnswer: -72*z - 2388","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 568 or 517?\nAnswer: 517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, 10, -3\/184?\nAnswer: -3\/184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a gram in milligrams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 3*q**2 - 2*q + 28. What is the lowest common multiple of w(8) and 2?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 13) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 154314211 to the power of 1\/2, to the nearest integer?\nAnswer: 12422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(3\/7)*b\/b**(6\/5) assuming b is positive.\nAnswer: b**(8\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t - 9*t - 5*t.\nAnswer: -11*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 5*m + 4 = 0, 599 = -n - 7*m + 619 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*i, 0*k = 3*k - 3*i - 18. Let v be k\/6 - 2\/3. Suppose v*d = 5*d - 55. Calculate the remainder when d is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139840 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1006568767 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 1 = -0. Let m be 4 + -3 - d*-1. Let r be (4\/2 - m) + 2. Solve -r*a = -0 + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232 is divided by 23?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 247, 520, 845, 1216, 1627, 2072, 2545?\nAnswer: 3040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) -0.4 (c) 263 (d) -2\/9 (e) -11\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 41\/2 of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2649873*d*g*u**3 - d*u**3 + 4*g*u**3 + 514846*g*u wrt d.\nAnswer: -2649873*g*u**3 - u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 28. Let w = 35 - s. Let c = w - 16. Is -8 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - w - 3507, -7*w = -12*w + 15. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0*r - r = -5, 3*p - 3*r = 21. Suppose 2*h + 3*j = 24, -5*j = -4*h - 0*j + p. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 77.1564um?\nAnswer: 0.00771564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28910)\/1652)\/(-1*42\/192)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 4*g + 5, -2*c + 3 = 2*g - 7. Suppose 3*b + b - u - 10 = 0, -u + 8 = c*b. Let o = b - 1. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10121\/4 + 2530. Which is the nearest to -0.1? (a) w (b) 1\/7 (c) -82\/3 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - -4*sqrt(133)*-2 - sqrt(133)) + sqrt(133))\/(sqrt(70)\/(sqrt(10)*4)).\nAnswer: -28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1565845 is divided by 146?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 203?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 267430 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2736*b**2 - 3020*b**2 - 848*b**4 + 5374*b**2 wrt b?\nAnswer: -20352*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*v**3 + 28*v**3 - 16*v**3 - 2 + 27*v**2 - 18*v**2 - 48*v as d*v**2 + a*v**3 + f*v + c and give f.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4233027.\nAnswer: 3, 107, 13187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 6 + 3)*(0*x + x - 3*x).\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**6\/((u**0\/u)\/u))\/(u*(u\/(u**(1\/2)\/u))\/u)**(-25)*((((u\/u**(-8))\/u*u)\/u)\/u**6)\/((u*u*u**(-4\/3)*u*u)\/(u\/u**(5\/6))) assuming u is positive.\nAnswer: u**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 302\/77 - 40\/11. Let g = -218 - -62. Let h be (-128)\/g + (-4)\/6. Which is the nearest to o? (a) h (b) 0.1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -12 (b) 4 (c) 2\/133 (d) -102\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5030, 4676, 4090, 3272, 2222, 940?\n\"Answer: -116*r**2 - 6*r + 5152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2cfa (base 16) to base 9.\nAnswer: 16713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 386987.\nAnswer: -6\/386987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 11959.38 to the nearest ten.\nAnswer: 11960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -11. Let q be -3 + 7 + -1 + 11. Let b(m) = 1 - y*m + q*m - 5. Let f(g) = 2*g - 5. Determine -3*b(r) + 2*f(r).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 2049.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -4*h - 4, 4*h + h - d + 5 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 5 = 3*w + 3, 0 = 2*q - 4*w - 12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 2*u + 122 = 118, -16 = -4*u for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of o**4\/2 + 38*o**3\/3 + 80*o**2 - 200*o + 11. Factor i(d).\nAnswer: 2*(d - 1)*(d + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2235142453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 10*s**2 - 8*s. Determine j(-11).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a litre in millilitres?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**3)**5\/(o\/(o*o*o*o**(-5\/4)*o)*o**(-2\/25)) assuming o is positive.\nAnswer: o**(1683\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48095407 is divided by 508.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -14822301?\nAnswer: -14822300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -4*l**2 - 680*l - 6275. Give y(-9).\nAnswer: -479","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {m: 7, x: 3, r: 3}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2 - 2*k + 11*k**2 - 5*k**2 - 77*k**3 - 7*k**2 + 4*k. Let s be z(-2). Suppose 3*u + s = 9*u. What are the prime factors of u?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1*911*(-3)\/(-10 - -13).\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 1101111?\nAnswer: -1110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4538?\nAnswer: 2, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 356637, -1, 6 in increasing order.\nAnswer: -1, 5, 6, 356637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - c. Let r be l(-2). Let d be r\/4 - 1\/(-2). Suppose -2*u - 5*i = -u - 142, 4*u - 502 = d*i. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**4\/4 + 2755*i**3\/4 - 1377*i**2\/2 = 0.\nAnswer: 0, 1, 2754","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 677 divide 65721825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*q - 1243 = 198*q + 125 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, y: 2, m: 4, e: 1}. What is prob of sequence le?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9 + -11 + 78\/13. Let v(o) be the third derivative of -12*o**2 + 0*o**5 + 13\/6*o**3 + 0*o + 0 - 3\/40*o**6 + 0*o**g. Differentiate v(m) wrt m.\nAnswer: -27*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*x + 29*b = -34*x + 79, x + 4*x + 3*b + 47 = 0 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -1010110011000?\nAnswer: 1010110010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 2)\/(2\/6). Let i(c) = 17*c**2 + 2*c + 2. Let y be i(g). Suppose 3*a - 2*x = y, a - 2*x = 3*x + 28. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9129 - 5367. Is 18 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20143845 by -3.\nAnswer: -6714615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 17 - 32 - 32 + 15*u. Calculate the remainder when l(30) is divided by 68.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -360*c**2 - 187*c**2 + 130*c**2 - 86093 + 86093.\nAnswer: -417*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.153531632*0.2.\nAnswer: -0.0307063264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2420871?\nAnswer: 3, 409, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1159 + -1182. Let t = 32 - 12. Let c = t + x. Put 2, 4\/9, -8, c in decreasing order.\nAnswer: 2, 4\/9, c, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lglyyymyyytymmmmmy. Give prob of picking 1 g, 2 m, and 1 y.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 483815752.\nAnswer: 2, 7, 8639567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*w**3 + 11*w**3 - 1 + 3*w + 0*w**3 as g*w + j + r*w**2 + i*w**3 and give i.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v - 3*z - 17 = 0, 8 = -994*v + 991*v + 4*z for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**2 - 2*k - 1. Let x be v(-1). Let d(g) = 3*g**3 - 6*g**2 - 6*g - 2. Let r(q) = q**2 + q. What is x*d(p) - 6*r(p)?\nAnswer: -3*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122000 - -10110122?\nAnswer: 11002122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/3)\/99*(7\/(-7))\/((-4)\/8)\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c - 1. Let y be z(-3). Let t = 16 + y. What is the greatest common divisor of t and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12285520 divided by 23626?\nAnswer: -520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/4)\/((-1)\/8). Suppose -3*f - 4*k + 6 = -0*k, -2*f + 5 = 3*k. Let h be f\/(-10) - (-12)\/(-60). Sort 3, h, w in decreasing order.\nAnswer: w, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11179, 17613, 24047, 30481, 36915, 43349?\n\"Answer: 6434*v + 4745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 654\/(-18)*15 - -3*2. Which is greater: p or -538?\nAnswer: -538","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rhrrdhhrhdrh. Give prob of picking 2 h, 1 d, and 1 r.\nAnswer: 20\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 11 = -5*b, 3574*b + 20 = -5*j + 3569*b for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 8, k: 5, b: 5}. Give prob of picking 3 k.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -189, 8, -1 in descending order.\nAnswer: 8, 1, -1, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 10:06 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 420519*n - 841036*n + 31*n**2 + 420517*n - 14*n**2 + 30*n**2.\nAnswer: 47*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/5, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/7 (b) -2 (c) 5\/4 (d) 0.5 (e) -204\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 8*x + 15. Suppose 4*c + x*w = 18 + 16, 4*w = 2*c - 4. Let v(l) = -l + 7. Give v(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -895 - -348. Let r = -336 - q. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -19*p**7\/210 + 2*p**3\/3 - 11*p**2. Differentiate o(l) with respect to l.\nAnswer: -76*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -783937988 equal to 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 896459, 1792916, 2689373?\nAnswer: 3585830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 22*m - 8. Let v(q) = 30*q - 10. Let u(o) = 5*s(o) - 4*v(o). Let f(l) = 5*l + 0*l + 0*l + 0*l. Calculate f(u(y)).\nAnswer: -50*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-2)*1\/2. Suppose c*s - 5*s = -25. What is the highest common factor of s and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 0.0793\nAnswer: -0.2379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11*(-17)\/(374\/12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9 - (0 + -6)) + 8. Suppose s = -w + a, -w = 4*s - 2*w - 35. Solve s*c + 4 = 10*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 - -79. Suppose 3*m + 0*m = h. What is the remainder when 29 is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -13*d**3 + 3*d**2 - 7*d + 10. Suppose 10*y + 3*p = 8*y - 14, -4*y = 2*p + 20. What is the units digit of z(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p - 5. Let i(t) = t + 6. Let o be i(-7). Let g = o - -1. Let m = g - -5. Give k(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 40 = 4*d, 3*g - 5*d - 12 = 16. Let u = g - 9. Suppose 33 = -2*o + 4*o + 3*i, -o - u*i + 15 = 0. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -10. Let m be (-164)\/q + 2\/(-4). Is 50\/m*(-136)\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_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: What is 10 + 33 + 0 + (66 - 69)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of 1\/90*f**6 + 0 + 1\/315*f**7 + 0*f + 0*f**3 + 0*f**4 + 1\/90*f**5 - f**2. Factor g(q).\nAnswer: 2*q**2*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/12 - 563*k**2\/12 + 10879*k\/12 - 3439\/4.\nAnswer: (k - 543)*(k - 19)*(k - 1)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -849157, -1698312, -2547467, -3396622, -4245777, -5094932?\nAnswer: -5944087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(20)*-2)\/sqrt(4).\nAnswer: -2*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/374 + -4109\/1870. Which is the nearest to 2? (a) r (b) 1\/7 (c) 3\/8 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/27)*s*s\/(s\/(s**(-1\/6)\/s))*s\/s**(2\/11)*(s\/(s\/(s*(s*s**(-4)\/s)\/s))*s)\/s*s*s)**(-50) assuming s is positive.\nAnswer: s**(18925\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -125 < -126?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2198351 and 36645.\nAnswer: 230826855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 675 = 213. Calculate the highest common factor of 2706 and n.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s**2 - 5*s + 6 + 3*s - 2*s**2 - 3*s. Let m be v(4). Differentiate -2 + 1 + 3 + d**m with respect to d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 21\/4 (b) -3 (c) 3 (d) -293\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 122 - 24 = 0. Suppose 4*p + r*o = 15*o + 319, 0 = 4*p + o - 329. Does 12 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/5590 and -35\/99749.\nAnswer: 42892070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 455744015 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 97 (b) -23 (c) 5 (d) 0.2 (e) 2 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2*k + 1 - 17*k - 2.\nAnswer: -19*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 494, 984, 1472, 1958?\n\"Answer: -b**2 + 493*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3574 + -0.3?\nAnswer: 3573.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1078 and 2.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 3*m - 2*m)*(-m**4 - 4*m + 4*m) + 229*m**5 + 196*m**5 - 260*m**5.\nAnswer: 164*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 68 = 3*j + 46, 0*z + z + 3*z = 144 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l**5 - 4*l**4 - 280440*l**3 + 8894245*l**2 + l wrt l?\nAnswer: -120*l**2 - 96*l - 1682640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t**2 - 3. Let h(u) = 16*u**2 - 10. Let y(n) = -3*h(n) + 10*j(n). Let d(z) = 215545 - 5*z - 215545. What is d(y(r))?\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/4*(-17 - 51). Suppose -19 = -8*f + a. Does 11 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tw when two letters picked without replacement from ttwbootbttozbtttzt?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5415 - 28807 = -32*r. Calculate the smallest common multiple of r and 9.\nAnswer: 6579","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**3 - 39*z**2 + 63*z - 2. What is f(-21)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 148695 and 629260?\nAnswer: 2155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/32 of a week?\nAnswer: 56700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*p - 1680 = -2139 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 302.4077 decades to centuries.\nAnswer: 30.24077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -4*m + 120. Let c be b(24). Suppose -4*s + c = -d + 8, 0 = -d + 4. Solve -4*a = -u + 14 - s, -3*a = -2*u + 8 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1851, -3711, -5569, -7425, -9279?\n\"Answer: y**2 - 1863*y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 199316 + -33363. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -696*-12304.\nAnswer: 8563584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**2 - 13*g - 102. What is i(-6)?\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 7:34 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 60\/11*s**4 - 68\/11*s**3 - 124\/11 + 306\/11*s - 16*s**2 + 2\/11*s**5 = 0.\nAnswer: -31, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*j - 2. Suppose 2*o = -3*u + 7 + j, o - 4*u + 1 = 0. Suppose 0 = -2*w + o*w. Which is the smallest value? (a) w (b) 5 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-36)\/6)\/(9\/(-6)). Solve -3*b - s*w + 6 + 9 = 0, 3*w - 20 = -4*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 221888 divided by 1.\nAnswer: 221888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-56)\/42)\/(2 - (-8)\/(-3)). Calculate the common denominator of -181\/30 and (1 + 152\/264)\/(l\/2).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 640 - 6265. Let f be (-6400)\/(-2*(-3)\/m). Round f to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 17*c**2 + 31*c + 5. Suppose -5*g - 45 = -k - 3*k, 3*k - 5*g = 30. Give n(k).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 3707.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8628\/(-432) - (-110)\/(-3960)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - (-3 - -1))*(-3)\/15. Let p = -15 - -10. What is the closest to -1 in u, p, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4330, 1\/2, 0.4 in increasing order.\nAnswer: -4330, -1, 0.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*h - 0*d - 3*d, 4*h + 4*d - 4 = 0. Suppose b - 11 = -5*k + 4, 0 = 2*k + b - 9. Solve k*i + 2 + 8 = h for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - (54 + (7 + 8 - 23))) + 0.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 25*n**2 - 33*n + 60. Is l(12) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z + 3558795 + 0*z - 3558795 - 15*z**3.\nAnswer: -15*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 15 = -6*b. Let y be -24*(b + 4) - -1. Let n = y + 4. What are the prime factors of n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -1019*s + 6305. Is d(-42) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/40)\/((-15)\/(-20))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o - 1. Let i(m) = 3*m - 2. Let a(u) = 4*u - 3. Let f = -14 - -7. Let t(p) = f*i(p) + 6*a(p). Let c = -34 - -46. What is c*w(h) - 3*t(h)?\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b - 20. Let z be v(-22). Let q(d) = d**2 + 4*d + 1. Let m be q(-5). Suppose -o = -m*o + 5. Are z and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h. Let t(g) = -532 + 6*g + 2*g**2 + 2*g + 532. Let n(q) = 8*b(q) - t(q). Let i(u) be the second derivative of -u**3\/3 - u. Calculate i(n(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 23 = -128. Suppose 2*r + r = 3*o - 9, -5*r + 15 = o. Suppose 4*w = 2*w - r, 3*f = -w + 44. Calculate the highest common factor of x and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t*t**(2\/5))*t*t**7*((t*(t\/(t**(-1\/4)*t*t*t))\/t*t)\/t*t)**42 assuming t is positive.\nAnswer: t**(-249\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -773 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - (-5 + (-10 - 3))) + 3\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**3 + 7*j**2 - 8*j + 15. Let b(a) = 4*a**3 + 6*a**2 - 9*a + 16. Let t(u) = 4*b(u) - 5*m(u). Is t(13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -2*z + 2*h - 12, 14 = -3*z + 4*h for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 982 is divided by 105.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371995953 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1513?\nAnswer: 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -62*v**4 - 16*v**4 - 37*v**4 + (1 - 1 + v)*(-2*v**3 - v**3 + v**3) + 0*v**4 + 2*v**4 - 3*v**4.\nAnswer: -118*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 544 - 668. Let k = 126 + h. Solve 8 = -k*a - 2*v - 2, -4*v - 20 = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**2 + 24*d**2 + 20*d**2.\nAnswer: 40*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (69 - -25 - 109) + -20?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2846074318 rounded to five decimal places?\nAnswer: -0.28461","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 171, 0, 3\/7, 0.1 in decreasing order.\nAnswer: 171, 3\/7, 0.1, 0, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 178, 199, 206, 193, 154, 83?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - r = -2*p - 23, 4*p - 3*r - 71 = 0. What is the third derivative of -2*y**5 - p*y**2 + 11*y**4 + 2*y**5 - 12*y**4 + 35*y**6 wrt y?\nAnswer: 4200*y**3 - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, z: 7}. What is prob of picking 1 z and 2 i?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of 0 - 1\/12*m**4 + 1\/30*m**7 + 0*m**3 + 0*m - m**2 + 0*m**6 + 0*m**5. What is the second derivative of u(s) wrt s?\nAnswer: 84*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 146*d**2 + 1275*d + 883. Give j(-8).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9599401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2059545744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 1. Let h = q + 28. Suppose 3*x = -0*a + a - h, -x = 4*a - 32. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 601538831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 4 - 8. Let o = 3 + y. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - -12. Let y be (-1)\/(1 - x\/15). Suppose -7*u = -y*u - 38. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 195147*r + 8. Let m(v) = v. Give m(c(w)).\nAnswer: 195147*w + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3540 or 88514\/25?\nAnswer: 88514\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.24 - 0.14. What is the second biggest value in -3\/5, 2\/23, j, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(85) - (sqrt(85) - -2*sqrt(85))))\/(2*sqrt(5)*-1)*-6.\nAnswer: -36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.4 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -664560 rounded to the nearest ten thousand?\nAnswer: -660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -y**2 + 65766*y + 451526 with respect to y.\nAnswer: -2*y + 65766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (807\/(-1614))\/((2\/8)\/((-11)\/143))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -113 bigger than -108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 85, 163, 239, 313, 385, 455, 523?\n\"Answer: -v**2 + 81*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -4*l**4\/3 + 112*l**3\/3 - 100*l**2\/3 - 72*l = 0?\nAnswer: -1, 0, 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -449, -427, -391, -341, -277, -199, -107?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 3:55 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-12)*12*((-28)\/(-6))\/(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6)\/(-14) - (-19)\/(3990\/370350) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 643 = 19*u - 20*u + 5*a, -3*a - 2595 = 4*u. What is the units digit of 1 - -2 - (5 + 5 + u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6*6)\/(6\/(-4)). Suppose -16*p = -1452 - 84. What is the highest common divisor of w and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184*l + 185*l - 35 = -4*y, 3*y + 120 = 3*l. Solve 0 = -37*z + l*z - 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 171.7 + -171.3. What is the biggest value in -2.2, a, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a millennium in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406*x + 2180*x = -7092 - 459 - 27929 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -54 - 183\/5*d**2 + 369\/5*d - 3\/5*d**4 + 39\/5*d**3 = 0.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*y - 60*y + 1820 = 120*y. Calculate the greatest common divisor of 203 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*309\/72512*-16.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1302869883 - -870821.1299869883. Let b = g - 870862. Let p = 41 + b. What is p rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*l*u - 524425*l + 9668646*u**2 wrt u?\nAnswer: 6*l + 19337292*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + 12\/4 - -1. Suppose a = 3*q - 8*q. Suppose q = 3*l - 18 + 3, 4*d - 649 = -l. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5*d + 13. Let m(r) = 3*r + 6. Let l(w) = -7*m(w) + 4*q(w). Let z be l(8). Let x(g) = -g - z*g + 0*g. Let b(j) = -j**2. What is x(b(s))?\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + 0 + 3 - -4. Suppose o*j = -2*u, u + 8 = 4. Solve -j = 5*a + 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 71307000 to the nearest 1000000.\nAnswer: 71000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q**2 - 26*q - 12. Let j(z) = 6 - 3 + 9*z - z**2 - 1 + 2. Let u(l) = 17*j(l) + 6*o(l). Calculate u(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -253 - -512. Let p be -23*((-1)\/1 + 8). Let t = p + y. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w - 21 = 109. Let h be (-72)\/48*-2*(-1)\/3. Which is the closest to h? (a) -2\/5 (b) -2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 165 and 495.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c + 13. Let a be b(0). Suppose 4*j - a + 1 = 0. Suppose j*i = -2*i + 155. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 3, q: 1, e: 13}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 0, 28, -91, -15 in ascending order.\nAnswer: -91, -15, 0, 2, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1920304 + 6129610465\/3192. Find the common denominator of n and 1\/48.\nAnswer: 6384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4)\/(j\/(j\/(j*(j\/j**11*j)\/j*j*j*j*j))))**(-47) assuming j is positive.\nAnswer: j**(-47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 22*x**2 - 8*x - 27. Does 32 divide c(-26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -162*h + 26*h + 32*h + 39*h - 133*h**2 + 37*h to a + m*h**2 + t*h and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, m: 1, y: 1, t: 2, g: 2}. Give prob of picking 1 y and 1 t.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 152*v**3 + 184*v**2 wrt v.\nAnswer: 912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 2 = 5*p. What is the second derivative of -3*k**3 - 6 + 9 - p + 3*k wrt k?\nAnswer: -18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2281853?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 12*q - 4 = 0, -253*x = -252*x + 5*q + 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -111 + 462. What is the first derivative of 351*m**2 - z*m**2 + 7 - 24*m**3 wrt m?\nAnswer: -72*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 0 + sqrt(275) + sqrt(275) + (4 + 2*sqrt(275) + sqrt(275))**2 - (6*(sqrt(275) + 2) + 2)) + -5.\nAnswer: 100*sqrt(11) + 2468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6143181089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38824*n + 3 + 38805*n - 1.\nAnswer: -19*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 + (-33 - 22) + -9?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-5\/9)*u)\/(u*u\/((u\/((u**(-1\/23)*u)\/u))\/u)*u))\/(u*u**(-10)\/u)**(-4\/5) assuming u is positive.\nAnswer: u**(-2176\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1549d - -1?\nAnswer: -1549c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1000734?\nAnswer: 2, 3, 7, 23827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 z when two letters picked without replacement from ujzjdzjvvuzzzz?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g**3 + 4*g**2 - 4*g - 4. Suppose -4*j = -8, -3*n = -2*j - 1 - 10. Let p(h) = -3*h**3 + 5*h**2 - 5*h - 5. Calculate n*y(l) - 4*p(l).\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t + 19. Let x be q(-8). Let s be 4\/20 + 1\/x. Suppose s*n + 7 = n. Calculate the greatest common factor of 14 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 8*o**2 + 1. Let i be l(1). Find the third derivative of -6*h**5 + 6*h**5 - i*h**2 + 9*h**6 + 3*h**6 wrt h.\nAnswer: 1440*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + -53. Let g = -10484253.0000102 - -10484184. Let q = l - g. What is q rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 381*h**3 - 195*h**3 - h - 195*h**3 + 10*h - 9*h.\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + k - 18, -k = -5*t + 4*k + 10. Suppose f = -2*l - t*f - 3, f = 4*l - 5. Solve -5*g - 2*d - l = 0, -2*g - 5*d - 17 = -4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/6 and 37\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114003 is divided by 637?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -36b67 - b?\nAnswer: -36b73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 75 - 73. Solve 2*g = -t + 13, -2*t + 16 = k*t - g for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 18*h + 309. Calculate n(-18).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + ((1 + sqrt(17) + 0 + sqrt(17))*-4)**2).\nAnswer: -1100 - 64*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1681 - -1821. Round j to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (p + p + 0*p)*(0 + 1 - 4)*(0 + 3 - 2) in the form g*p + a and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1248 is divided by 213?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 366930484049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n**2 + 1. Let k(w) = 2*w**2 - 4. Let z(r) = -r**2 + 5. Let l(j) = 4*k(j) + 3*z(j). Let c(o) = 5*l(o) + 6*s(o). Differentiate c(q) wrt q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001225510057 rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**2 + 714*w + 3. Let z(j) = -2*j - 186. Give z(l(g)).\nAnswer: 4*g**2 - 1428*g - 192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p\/p**(-1\/4))*p))**(-34)*(p\/((p*p\/(p\/((p\/((p*p\/(p*p**(-7))*p)\/p*p))\/p))*p*p)\/p)*p*p)\/p**2)**(-2\/3) assuming p is positive.\nAnswer: p**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1737 (base 11) in base 9?\nAnswer: 3034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12402130 (base 5) to base 13.\nAnswer: 437b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -5 + sqrt(153)*1 + sqrt(153) + sqrt(153) + (sqrt(153) + -2)*-6 + -5)**2*-1.\nAnswer: -1413 + 108*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2238 by 3.\nAnswer: 746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 260962 and 4277.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tgumttmtmututzgttuug. Give prob of sequence uzm.\nAnswer: 1\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 21 + 3*f**2 + 4*f**2 - 6*f**2 - 13*f. Let h be a(12). What is the third derivative of 8*k**2 - h*k**4 + 287*k - 287*k wrt k?\nAnswer: -216*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*r + 4*r + 0*r - 6*r - 4*r.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66325, -132967, -199633, -266329, -333061?\nAnswer: -399835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/2*w**3 - 3\/2*w**2 - 9\/2*w - 5\/2 = 0. What is w?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/4))**(-33) assuming x is positive.\nAnswer: x**(-33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001010 + 11011010100000111?\nAnswer: 11011010101010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12737*z - 29865*z - 1601*z.\nAnswer: -44203*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, i: 1, s: 2, x: 1, n: 3}. Give prob of sequence xn.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00902 to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2761761 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/448*106 + 4\/(-16) - -1?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/3)*u**(-6)\/u*(u\/(((u*u*u\/u**(-1\/13)*u)\/u)\/u))\/u**(-6) assuming u is positive.\nAnswer: u**(-55\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n**2 - 7*n - 4. Let a(w) = 2 - w**2 + 31*w - 12*w - 1 - 11*w - 6*w. What is -7*a(d) - 2*g(d)?\nAnswer: -d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2\/7, -2, 91?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2)\/((140\/7280)\/((-2)\/2))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9557477 hours to nanoseconds.\nAnswer: 3440691720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(-8456)\/(13 - 21). What is the highest common divisor of 21 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -19?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -8*(-225)\/180 - -69\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.12 - 0.0213.\nAnswer: 0.0987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -4*p**2 + 3*p**2 + 0*p**2. Let x(d) = 3*d**2 + 8*d - 8. Let c be x(-4). Let o(u) = -3*u + c*u - u - 2*u. What is h(o(q))?\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 4*f - 6*f**2)*(-f + 5*f + 0*f).\nAnswer: -24*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + 0*a**2 - 2*a**2)*(a**2 + 4*a - 4*a) + 3*a**4 + a**4 - 3*a**4 - 3*a**4 + 2*a - 2*a.\nAnswer: -6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 5*f + 25 = 0. Suppose 58 = f*m + 18. Suppose -m*z - 7 = -z. Is 2 != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2*t + 0*t = 2, 3*k + 4*t - 4 = 0. Find the third derivative of 3*z**2 + 0*z - z**6 + k*z + 0*z**2 wrt z.\nAnswer: -120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + -4)*(-2)\/(-5). Let i(o) = o + 1. Let p(a) = -7*a - 6. Let y(l) = -6*i(l) - p(l). Let g be y(4). Put g, m, 0 in descending order.\nAnswer: g, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + -3 + -1 - (3 + -6). Let c(z) be the second derivative of 2*z + i*z**4 + 1\/25*z**5 + 0*z**3 + 0 + 0*z**2 + 1\/75*z**6. Factor c(h).\nAnswer: 2*h**3*(h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 2 + 0 + 3 - 5 + (2 - 3 + 0)*(1 + 0 - 2))*(-12*k**2 + 3*k**5 + 12*k**2).\nAnswer: 9*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 3*f + 90 = 0, 3*v - 26 - 66 = f - 87 + 45 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**2 - 214*a - 5160. Calculate r(-74).\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0\/4*(-3892)\/15568\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*q + 70 = -76*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202 + 2102 = -4*g. Let j = -4861\/10 - g. What is the common denominator of 2\/(-10) + 3\/((-180)\/(-557)) and j?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -989*i - 40 - 17 + 338*i + 318*i + 335*i.\nAnswer: 2*i - 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -45153233 (base 6) to base 9\nAnswer: -2514513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1121221 (base 7) to base 8\nAnswer: -420702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24.19 - 0.19. Let j = 13 - x. Let n = j + 12.15. What is n rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14051808313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 31 = 8. Suppose -4*c - 76 = 2*w, -y = c + 3*w + 11. Calculate the remainder when c\/(-5)*80\/12 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 1, 5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1404746 is divided by 13638?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/4 - 183\/24*-786. Suppose 0 = -3*d + 2*h + k, -d + h - 2*h = -1996. Let v = 4330 - d. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 63.6 + -64. Let y be (-6)\/12*0\/(-2). Let q = 5.05 + -0.05. What is the nearest to 1\/2 in q, a, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 6 = 4*j, 2*n + 3*j + 7 = 5. Let q be (n\/1)\/(-6 - (-1020)\/168). Calculate the highest common factor of q and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3\/7 - 18*r**2 - 264*r - 5184\/7.\nAnswer: 3*(r - 54)*(r + 4)*(r + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -6. Suppose -j*s + s = 0. Do -1\/8 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of d**2 + 31*d + 861. Calculate w(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-8) - (-65)\/4. Suppose 0 = -g - g + i. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*d + 19\/2*d**4 + 6 + 221\/2*d**2 + 58*d**3 = 0. What is d?\nAnswer: -3, -2, -1, -2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 141237, 141223, 141319, 141579, 142057, 142807?\n\"Answer: 9*w**3 + w**2 - 80*w + 141307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r**3 - 65*r**2 - 7*r. Let v(z) = -8*z**3 + 127*z**2 + 17*z. Calculate -5*i(l) - 2*v(l).\nAnswer: -4*l**3 + 71*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g = 115 - 67. Suppose -2*s - 188 = -g*s. Calculate the remainder when s is divided by 30.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 20 = 0, 4*h - 2*p - 8 = 18. Let y = 33 + -24. What is the highest common divisor of y and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n - n**3 + n + (-20 + 5 + 3)*((2 - 5 + 2)*(0*n + 2*n - 4*n) - 2*n + 6*n - 2*n + 1 - 1 - 2*n - 4*n - 2*n + 3*n)*(2*n - n**2 - 2*n).\nAnswer: -13*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -194689 (base 14) in base 7?\nAnswer: -10420532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -8*8\/4*-2. Suppose 766 + b = 6*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.05 and 0.10010864778.\nAnswer: 0.05010864778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/10 of a microgram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2)*y*y*y**(-9\/7)\/y assuming y is positive.\nAnswer: y**(-16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1000 + -1875\/2. Let u = -64 + g. Let k = 4 + -8. Which is the second smallest value? (a) 2 (b) k (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20\/10 - ((-16)\/4 - 2). Let h(o) = -7 + 16*o**2 - 7*o**2 - 11 - 2*o**3 - 5*o + o**3. Let r be h(l). What is the greatest common divisor of 6 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -839 - -844. What is the nearest to -1 in -5, c, 1, -78?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -5d79?\nAnswer: -5d7e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 332 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -o + 6*o - 73, -3*k = o - 29. What is the remainder when 46 is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -386, -464, -602, -806, -1082, -1436, -1874, -2402?\n\"Answer: -t**3 - 24*t**2 + t - 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 1038 = -x, 2*h - 4*h = x - 1041. What is the highest common divisor of 15 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 780318050636 - -156?\nAnswer: 780318050792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 2*o - 2, -3*o = 2*t + 2*o + 1. Suppose -m - t*m = -1503. Let b = 760 - m. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 40*q + 34 = -22*q + 84*q - 33, -q - 4 = 0 for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6806728 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.76064 milligrams to tonnes.\nAnswer: 0.00000000876064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 461100438?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 297*i - 52*i - 2102 + 13617 for i.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62)\/(-465)*(1260\/114)\/(-14).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 2*t = 3*t + 3*t - 23, -47 = -4*s - 7*t for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 1:19 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, h: 1, y: 1, i: 2, j: 1, z: 2}. What is prob of picking 1 y, 1 j, 1 q, and 1 h?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 380600993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, d: 3, i: 4, m: 6, s: 4}. Give prob of sequence iu.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3653)\/(-52)*(20 - 0). Suppose -3*t + u = 2*t. Suppose 4*k = t - 9. Round k to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5792 - -8328. Is c a multiple of 186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/1*(2 - 3). Suppose b - g - 8 - 6 = j, -3*g = -b + 22. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1571 by 3.\nAnswer: 1571\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 405 + -1352?\nAnswer: -543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sisissisiiiii. Give prob of picking 2 s and 2 i.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*i**2 - 52*i**2 - 99*i + 28*i**2.\nAnswer: i**2 - 99*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*c + 4. Suppose i + 1 = -c*n + n, 0 = -5*n + i + 7. Let f(g) = 1. Let j(y) = -y + 6. Give n*j(k) - 6*f(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*d = 267 - 211 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by 1287925.\nAnswer: 26\/1287925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 9*a**2 - 16604*a. Let x(w) = -16*w**2. Calculate g(x(h)).\nAnswer: 2304*h**4 + 265664*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 7*u + 26. Let i be t(-9). Let r(j) = -j**3 + 9*j**2 - 7*j + 2. List the prime factors of r(i).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -101*r**3*u**3 + 2*r**3*u**2 + 2*r**3 - 26*r**2*u wrt u?\nAnswer: -606*r**3*u + 4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -137.9 + 145. Let c = m + -1.6. Let a = c + -4. What is a rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188 - 188 + 15*d.\nAnswer: 15*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/14 + (-148)\/(-28). Suppose 0*b - 1 = 4*h + d*b, 0 = -3*b + 9. Suppose 3*m + 20 = -4*p, -4*p - 32 = -12. Sort 5, h, m in decreasing order.\nAnswer: 5, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 88, 85, 84, 85, 88, 93?\n\"Answer: i**2 - 6*i + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -4*g + 8*g. Let u = -6 - g. Let h(t) = -t**2 - u + 2*t**2 + 13. Let c(a) = -2*a. What is c(h(s))?\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (284310\/(-360))\/39*(-16)\/(-6).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -413, 38, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6004581 is divided by 8909.\nAnswer: 8824","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**5 + 0*l**5 - l**5 + 6 + 3*l**5 - 6 + (0 + 0 - l**2)*(l**3 + 2*l**2 - 2*l**2) - l**4 - l**5 + l**4.\nAnswer: 3*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -a351 (base 13) to base 7\nAnswer: -122503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 178*g**3*p**3 - 2*g**3*p**2*y + 1044*g**3 - 15*g**2*p**2*y - 139674*g*p**3*y + 27*g*p**2*y wrt p.\nAnswer: 1068*g**3 - 838044*g*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1193 + -1194.554. Let v = x - -1.58902. What is v rounded to 3 decimal places?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*b**2 + 36*b**2 - 20*b**2 - 43*b**2 - 2*b**2.\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1354951*u + 1354947*u - j + 6 = 0, -4*j + 9 = u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 10, w: 4}. What is prob of picking 4 h?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4\/14 + (-48)\/(-28) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10131120 - -20?\nAnswer: -10131100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31465264 - 1?\nAnswer: -31465265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = 66*b - 396 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) - (3 + -1 + sqrt(448) - sqrt(448))**2) + sqrt(448).\nAnswer: -4 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -511615*n = -511935*n - 21440 for n.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*p**3\/5 - 39*p**2 + 1023*p\/5 + 363\/5.\nAnswer: 3*(p - 11)**2*(3*p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25395, 49620, 73845?\nAnswer: 98070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -3\/35 (c) 0.01 (d) 0.0841 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1316 - 129 + w + w.\nAnswer: 2*w - 1445","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 12 = 2*m. Let n be m\/(-12) + 9\/12. What is the derivative of 3 - 2*d**2 - n - 3*d**2 wrt d?\nAnswer: -10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170 + 22668 = 2*s. Suppose -w + 1351 = i + 5534, 0 = -4*w - 2*i - 16742. Let m = w + s. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - sqrt(68)\/(sqrt(4)*2) - (sqrt(85)\/sqrt(45) + sqrt(17)) - (1*sqrt(204)\/sqrt(4))\/(2*2*sqrt(3)))**2.\nAnswer: 2873\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 7*n + 3. Let t be q(6). Let k = 3 - t. Suppose -k*s - 10 = -11*s. Solve 0 = 2*m + s*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*f = -14*f + 598 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1882854.\nAnswer: 2, 3, 29, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -60.71 - -61. Let v = u + -0.09. Which is the third biggest value? (a) -0.3 (b) -3\/5 (c) 2\/11 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11440 divided by -3?\nAnswer: -11440\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bm when two letters picked without replacement from {l: 1, b: 2, t: 1, m: 2, a: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -49 - (298 - 305)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (1 - 2) - (-104 + 54 + 7 + -11)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 236813459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*x - 19 = -467. Sort 4, 1, x.\nAnswer: x, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a221 (base 16) in base 11?\nAnswer: -152997","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(768)*1)\/(sqrt(36)\/sqrt(486)).\nAnswer: 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, k: 3, x: 2, e: 1}. Give prob of picking 1 f and 3 k.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(1\/1)*(-171042)\/(-2949)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -a - 2*a**2 + 4*a**4 + 1114*a**3 - 1114*a**3 - 25 as q*a**4 + f + o*a**3 + g*a + z*a**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (95\/20)\/19*24\/6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 63171883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -30621700 rounded to the nearest one hundred thousand?\nAnswer: -30600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 123206 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1321875461?\nAnswer: 31307, 42223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (7 - 4 - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1)*v*v\/((v\/v**(-2))\/v))\/(v*v*v**(1\/3)*v*v)**36)\/((v*v*v**(3\/2)*v)**(9\/5))**(-2\/33) assuming v is positive.\nAnswer: v**(-8608\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c - 1. Let l(j) = -21*j + 34. Let f(o) = -l(o) + 2*x(o). Let g be f(2). Let m = -14 - -16. Solve 4*y + m = -g for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*a + 40 = -20*a + 72. Calculate the highest common divisor of a and 2672.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (2*sqrt(1008)*2 - (0 + sqrt(1008) + 0)) + 3 + 0)**2.\nAnswer: 432*sqrt(7) + 9108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lldy when four letters picked without replacement from {d: 1, l: 1, x: 1, v: 1, y: 1, h: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.21242 to 3 decimal places.\nAnswer: 0.212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 105*n**4 - 4*n**3 - 113*n - 4. Let c(f) = -209*f**4 + 7*f**3 + 227*f + 7. Let b(y) = 4*c(y) + 7*m(y). What is the second derivative of b(t) wrt t?\nAnswer: -1212*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**3 - 69*z**2 - 37*z - 124. Calculate s(-34).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38 - -65 - 60) + 9.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -15*x - 20. What is the least common multiple of b(-4) and 32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -0*b - 736. Suppose -2*a + 43 + 46 = 3*p, -4*a + b = 4*p. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 + 0*l + 5*l + l + 5.\nAnswer: 6*l + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 63556 * 0.74\nAnswer: 47031.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 318107630 by -3373.\nAnswer: -94310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rriihryryhycoyiiiih. What is prob of sequence or?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of u**5\/10 - 2*u**4\/3 + 5*u**3\/3 - 49*u**2\/2 + 2*u + 15. What is the hundreds digit of t(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90591923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/63)*(q\/(q\/q**(-20\/9)))\/q*q)\/(q**(-31))**(-15\/2) assuming q is positive.\nAnswer: q**(-9859\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -183464.7 to the nearest 100.\nAnswer: -183500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m*r**6 + 10*m*r**3 - m*r**2 - 2*r**6 + 11 wrt r?\nAnswer: 240*m*r**3 + 60*m - 240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a + 16*a - 10 = 0. Let q be (-1 - -3 - 0)\/(a - 4). Suppose -47 + 2 + 5*f**q - 11*f + 51*f = 0. What is f?\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (5700*d**2 - 150*d - 5698*d**2 - 292*d)*(-15*d**2 - 3*d**2 + 5*d**2 - 11*d**2 + 2) as j*d + p + c*d**3 + n*d**4 + u*d**2 and give j.\nAnswer: -884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ali when three letters picked without replacement from {l: 1, p: 1, a: 1, s: 1, i: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 717 + -713. Solve 0 = -t*j + 10 - 14 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f**3 + 2*f**2 + f. Let r be h(-1). Let d be (-8)\/r - (-4)\/(-6). Find the first derivative of 3 - v**2 + 3*v**d - 4*v**2 - 2*v**2 wrt v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q - 3*q = 30. What is the fourth smallest value in 2\/15, 0.3, 2\/11, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52373 (base 14) to base 2\nAnswer: -110000011001110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/((0 + -1)\/(2 + -3)). Let s be (2\/4)\/((-1)\/(-12)). Suppose 0 = -y - c + s. Solve 3*h + h = -y*l - 14, -h + 2*l - 9 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 36 - 11 = 0. Let h(a) = -2*a**3 - 5*a**2 - 5. Let q = -2024 + 2022. Let y(j) = -j**3 - 2*j**2 - 2. Determine i*y(s) + q*h(s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 + -28. Let s(b) = -b**2 + 9*b + 2. Let v be s(w). Solve -v - 1 = -q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -6. Let a = -231 - -4849\/21. Is a at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*q = 54*q + 13*q + 168 for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqhqhhq. Give prob of picking 1 q and 3 h.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 7:42 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w - 588 = -5*w - w. What is the remainder when 1819 is divided by w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 13 + 1 + -5 + -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5822.7 - -5823. Which is the nearest to x? (a) -4 (b) 2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/16)\/(6\/18)*(40066\/(-1005) - -40)?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 12 = w + 4*k, 9 = 3*k. Let b = -87 - -91. Put -119, w, b in descending order.\nAnswer: b, w, -119","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1529 - 476. Is 9 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -4*t. Suppose 2*l - 2*x + 2 = t, 4 = -4*l - x - 4*x. Let m(p) = -p**2 + 1. Determine m(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1158 + 2096. What are the prime factors of q?\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1811 and 6666291?\nAnswer: 1811","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21322 (base 4) in base 5?\nAnswer: 10014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 857639?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73380?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -29*f**4\/12 - 19*f. Let c(z) = 3*z. What is j(c(n))?\nAnswer: -261*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 559*(2\/(-8))\/((-1389)\/(-1852))*24\/(-52)\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7847 = 10*u + 177. Suppose -2*f - 5*r = -572, 3*r = 4*f - u - 403. Is f a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus -73.31?\nAnswer: -75.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47 - -42. Let l be -1 - t - (-13 + 14). Solve l*f - f = -2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -13*q**3 + 4*q + 17. Let u(v) = -12*v**3 + 3*v + 16. Let c(a) = 4*u(a) - 3*y(a). What is the derivative of c(p) wrt p?\nAnswer: -27*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 7*r + 12. What is the least common multiple of r and 4 - (1 + 1) - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.03764 millilitres?\nAnswer: 0.00003764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-5))**(-33)*(k*k**(2\/21))\/(k**(-7\/2)*k))**14 assuming k is positive.\nAnswer: k**(7081\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1552\/11 - 141. Let j = -454.8 + 455. Which is the third biggest value? (a) 1 (b) u (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, o: 1, h: 1, w: 1, n: 1}. Give prob of sequence wqnh.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3292*v - 72. Let h be s(-6). List the prime factors of 1*(-2)\/4*h\/24.\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-16)*(-4)\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 5*o**2 + o - 5. Let b(d) = 5*d**2 + 2*d - 4. Give -7*b(m) + 6*n(m).\nAnswer: -5*m**2 - 8*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -85 - -106. Let t be 1*(0 - 44) + -20 + u. Let d = 99 + t. Calculate the greatest common divisor of 7 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a*a**(2\/7)*a)\/a)**(3\/11))**(-31))**(-1) assuming a is positive.\nAnswer: a**(1488\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -7 - 0) + -11?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14189770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4 + 3 + (sqrt(17) + -1)*2)**2.\nAnswer: -12*sqrt(17) + 82","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10157827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 2 - 0\/6. Suppose 0 = -q + 11 + m. What is the remainder when (-1 + -1 + (-2)\/(-3))*-18 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220\/33*30\/(-25)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 13, b: 6}.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -6*t**2 + 78*t - 61. Let u(h) = 4*h**2 - 52*h + 41. Let s(d) = -5*q(d) - 8*u(d). Let v be s(12). Which is the closest to 0? (a) v (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c = -497 - 205. Let g = 16 + -31. Let t = g + c. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/(-60) + 20\/6. Solve 5*n - 5*i = -50, 0 + 10 = y*n + 5*i for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1930739464.066 and 3.\nAnswer: -1930739461.066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 + -28. Suppose i*h + h = -10. Let b(u) = 7*u + 8. Let z(m) = -11*m - 12. Let g(o) = -8*b(o) - 5*z(o). What is g(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44122 and 151033?\nAnswer: 1697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -685 - -322.53514.\nAnswer: -362.46486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -728867 * 13\nAnswer: -9475271","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3941804208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 57, 38, -47, -198, -415, -698?\n\"Answer: -33*a**2 + 80*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -443*u. Let g(n) = 826*n - 826*n + n**2. What is o(g(h))?\nAnswer: -443*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23882629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(15\/6) - -6. Find the first derivative of -t + 0*r**2 - 3*r**2 + 5 + r**2 wrt r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*c - 9. Suppose -5 = -3*h + c. Suppose h*f = 38 - 14. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -811*r**4 + 1 + 3*r**6 + 1626*r**4 - 12*r + 7*r**5 - 9*r**2 - 816*r**4 wrt r.\nAnswer: 360*r**3 + 420*r**2 - 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r. Let s(t) = -963*t. Calculate q(s(u)).\nAnswer: -1926*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 79811, 75603, 71395?\n\"Answer: -4208*p + 84019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 - 15. Solve 4*s = 1 + a for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2\/(2 + 45\/(-25)))\/(2\/5263).\nAnswer: 5, 19, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - g + 101 = 37*o + 8 - 15, 3*o - 19*g + 23*g = -3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from hhhbhhhhhbhhhhhbhh.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 416, 976, 1536, 2096, 2656, 3216?\n\"Answer: 560*a - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-15)*-6*5. Let m(y) = -8*y**4 - 10*y**3 - 2*y**2 - 6*y - 6. Let o(g) = -g - 1. Let s(j) = u*o(j) + m(j). Suppose s(d) = 0. What is d?\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -212 + 210.39. Let k = -1.6100099 - a. What is k rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/4*(-4 - (-75)\/20). Put 2, a, 2\/5, -214 in increasing order.\nAnswer: -214, a, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = -605 + 749. Solve 6*s = -3*z + 2*s - 25, 4*z = -s - p for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 881167058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + 1 + sqrt(98) - sqrt(98)) + -1 + (3 + 0 + sqrt(2))**2 + sqrt(96)\/sqrt(12) + (sqrt(162) + -1)**2 + -4.\nAnswer: -10*sqrt(2) + 149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -457 + 457. Let t be ((-4)\/(-6))\/(7\/3). Is t smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1111 + 1034.8889. Let f = u + -1030. Put 0.4, 0, -5, f in increasing order.\nAnswer: -5, 0, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 0 + 10. Suppose -3*n - j*n = -80. Solve -3*w + 7*w = -n for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v. Let m(y) = -3*y - 1. Suppose z = -5*b + 71, 0 = -2*z - 2*z + b + 389. Let n = -144 + z. Let f = n + 51. Calculate f*m(d) + 2*t(d).\nAnswer: -d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 + 40.1. Which is the second smallest value? (a) k (b) -3 (c) -0.4 (d) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 13 = 3*o, -2*u + o = -164 + 160 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*w**4 - 20*w**2 - 788*w wrt w.\nAnswer: 276*w**2 - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.85*-0.5.\nAnswer: 0.925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4404842 to the power of 1\/2, to the nearest integer?\nAnswer: 2099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n**4 + 132*n**3 + 135*n**2 - 1514*n + 1512 = 0.\nAnswer: -4, 7\/5, 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 164, -360.\nAnswer: -360, 4, 5, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -598.2354524 - -0.1636524. Let r = -598 - g. What is r rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 13. Sort -1, 2, c.\nAnswer: -1, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.31, 131\/7, 60, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 5*f)*(2*f - f + 0*f)*(21*f**3 - 1049*f + 1049*f).\nAnswer: 105*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 22, 54, 116, 232, 426, 722, 1144?\n\"Answer: 4*x**3 - 9*x**2 + 31*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**3\/5 - 97956*x**2 - 3918386*x\/5 + 4408164\/5 = 0. Calculate x.\nAnswer: -9, 1, 244898","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(5 - 3) + 12. Let o(x) = -l*x - 11*x + 0 + 1. What is the remainder when o(-1) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 + -25. Let y = f - -18. What is the remainder when 23 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -40406, -40403, -40400?\n\"Answer: 3*t - 40409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 2*w**2 - 3. Let h(d) = -d**2 - 1. Suppose 27*s + 15 = 32*s. Let k(m) = s*h(m) - q(m). Factor k(v).\nAnswer: -v**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (68\/10 - 2)\/(4\/30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 6. Suppose 2*b + 2 = -3*z, -3 = -3*z + 4*b - b. What is p(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssxx when four letters picked without replacement from xxsxsxsssssx.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 765 is divided by 146?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123 divided by 6.\nAnswer: -41\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 13, 1, 3, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14083001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1790091 + 1278381.1790091. Let a = 1278496.0094 - r. Let l = a + -115. What is l rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 223 - ((-9)\/3 - -2). Let b be -4*(-102)\/30 + (-10)\/(-25). Calculate the highest common divisor of b and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 272120 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -602449, -602446, -602443, -602440, -602437?\n\"Answer: 3*r - 602452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 3:43 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 + (-3 + -2 + (2 - -11) - (36 - 29)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -97, -2, -34, 3, 2, -5.\nAnswer: -97, -34, -5, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o + 7. Let y(i) = i + 6. Let h(k) = -5*u(k) + 4*y(k). Let j be h(-11). Let z be (j - -3 - 3) + -3300. What is z rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 434 less than -50187039?\nAnswer: -50187473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2082 and 2831459622?\nAnswer: 2082","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of y**4\/2 + 2*y**3\/3 + y + 184. Suppose m + l + 6 = -3*l, -3*l = 3*m + 9. Give q(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 + -28. Let h(v) be the first derivative of -4*v + 2*v**c - v**2 + 13\/2*v**4 + 3 + 6*v**3. Factor h(n).\nAnswer: 2*(n + 1)**3*(5*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 4*s + 41, -3*u + u = -2*s - 28 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*j + 606 = 0. Suppose -3*x + j = -201. List the prime factors of x.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -159, -359, -639, -999?\nAnswer: -1439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69602279 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 386, 0 in descending order.\nAnswer: 386, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 - -16. Let x = u + 17. Suppose -7 = -x*z + 3. Is 0 at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 0 + 0 + (116 - 122).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2974190 by -4189.\nAnswer: -710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1675 + -1674. Let y(j) = 3*j**2 - 1 - 2*j**2 - j**3 + 13*j**3. Give y(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0195 + 0.0805. Let r = 20.019 - 0.019. Let v = 4 + r. Do v and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of t**6\/360 + t**5\/60 - t**4\/6 + t**3 - 6. Let r(u) be the third derivative of a(u). Calculate r(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5086b + 11?\nAnswer: 5087c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1134.876km to nanometers.\nAnswer: 1134876000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*m - 576 + 534 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18989.\nAnswer: 17, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90*50\/(-2625)*1\/(3\/(-2)).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q + 2. Let k be f(2). Which is the closest to 9? (a) 2 (b) -0.5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 328.8 - 137. Let r = 192 - k. Let w = -64\/35 - -10\/7. Sort w, 4\/5, r in decreasing order.\nAnswer: 4\/5, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k + 189 = 16*k. Suppose -k*c - 80 = -68*c. Calculate the greatest common divisor of 112 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**2 + 118*r + 924 = 0.\nAnswer: -7, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 7*a. Suppose a*o + o + 3*s = 51, 2*o = s + 81. Suppose 5*j = -5*h + 210, h + j - 2*j - o = 0. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1103 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 131 - 114. Let m be (c + -19)\/(4\/(-6)). Suppose 0 = -f - 0*w + w + 150, m*f - 462 = -w. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**3 + 11*b**2 - 5*b - 58. Calculate p(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {a: 4, p: 6, e: 7}?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 7:31 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0038 and 48329259?\nAnswer: 48329258.9962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a - 5 = 21*a. Solve -a*n = 2*v + 9, -3 = -n - n - 3*v for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-4)*(-8)\/(-12). What is w rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 9:47 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p + 7. Let c be i(-7). Let f = 3 - c. Suppose 0 = -f*k - 189 - 78. What is k rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 243 divide 780759?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/1456 - 2367\/1456. Suppose 55*f = 36*f + 532. Find the common denominator of (-27)\/(-504)*8 - (-163)\/f and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**2 - 33*p - 73. Let u be y(-14). Let c(s) = -2*s - 12. Let g be c(-8). Which is smaller: g or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010042695 to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54202?\nAnswer: 2, 41, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.421815 to two decimal places.\nAnswer: 11.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6321\/189 + 24\/(-54). Solve s*n = 13*n + 60 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -7524*n**3 + 8*n + 8. Let m(y) = -7524*y**3 + 9*y + 9. Determine -8*m(p) + 9*r(p).\nAnswer: -7524*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 14 + 16. What is z in 3\/2 - 9\/2*z + 3*z**h = 0?\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(0 - -4) - (-135)\/(-36). Let r be (w + 0)*(-3)\/12. Let q be (-104)\/28 + 2\/(-7). Put r, 0, 2, q in increasing order.\nAnswer: q, 0, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*k**2*q*u**3 + 2*k**2*q*u + 3*k**2 + q*u**3 + 7*q*u - 20*u**3 wrt u.\nAnswer: -42*k**2*q*u + 6*q*u - 120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 135 + 9?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10322 + -3?\nAnswer: -10331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/5 + (-12)\/15. Let x be (-3)\/(-1 - 0) + q. Solve 4*s = 5*s - x for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 343, 1129, 2539, 4579, 7255?\n\"Answer: f**3 + 306*f**2 - 139*f + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-18)\/(-4))\/((1 - 0)\/2). Let q(b) = -4*b**2. Let v(z) = -16*z**2. Suppose 8*d = 3*d - 10. Determine d*v(o) + f*q(o).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 36371439 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1013)\/(-14182))\/(4\/(-42)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6158, 5404, 4648, 3890, 3130?\n\"Answer: -k**2 - 751*k + 6910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.031, -3, -47, 0.6, -0.08, -14\/5?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((0 + (sqrt(72) - (-1 + sqrt(72))) + sqrt(72) + (0 + sqrt(72) + 4 - sqrt(72)))*3)**2.\nAnswer: 1080*sqrt(2) + 1746","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70047, -70048, -70049, -70050?\nAnswer: -70051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r - 13. Let p(n) = n - 12. Let i be p(0). Let t be l(i). Solve -w = -3*f + t, 2*f = -5*w - 16 - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((20\/30)\/(52\/24))\/((-84)\/(-182))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -17. Let r be 1\/y*2 + 4. Suppose 2*t + 5*f - 157 = 0, r*t - 2*t - 106 = 3*f. List the prime factors of t.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 327.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -88206, -176413, -264620, -352827?\n\"Answer: -88207*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = -8*k + 25 - 67 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*v = 833*v + 6494 + 15840 for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 0 = 16. Suppose -t*g - 1 = -137. Calculate the remainder when g is divided by (10 - 1) + 1 - 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-108))\/((-1)\/4). Suppose 103*t - 101*t - 2 = 0. Is g greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q + 32. What is the tens digit of g(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/(-55) + 63\/(-60).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -1\/7 (b) 5 (c) -0.2 (d) -1\/18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -2\/2679, 0.05, -2\/19?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 145.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-193*h + 488*h + 4*h**4 + 2*h**2 - 73*h)*(2 - 3 - 1) to v*h**2 + m*h**4 + t*h**3 + r + j*h and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -967 divided by -422547.\nAnswer: 967\/422547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 3*c + 141836, 6*a = 4*a + 5*c + 70904. List the prime factors of a.\nAnswer: 2, 7, 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -217*k + 61. Let n(o) = 65*o - 20. Let c(b) = -3*d(b) - 10*n(b). Determine c(8).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**2 + 237540*f - 3799616 = 0. Calculate f.\nAnswer: 16, 59369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -0*z. Suppose 4*t - 3*f + 2*f = 7, 3*f - 1 = t. Solve z = y - t*y + 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/5, -0.1, -88, 5\/3, -3\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -15. Find the common denominator of 187\/30 and ((-273)\/98)\/((-10)\/b).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -713*r**7\/210 + 147*r**5\/20 + r**3\/6 - 95*r**2. What is the third derivative of f(j) wrt j?\nAnswer: -17112*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 17*h**3 + h**2 - h. Suppose 7 - 9 = -2*p. Let i be l(p). Calculate the highest common divisor of 187 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2100165 divided by -3.\nAnswer: -700055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u = -13*u - 56. What is the greatest common factor of 63 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(-1 + 2*3). Let p be (-3)\/1 + (-770)\/(-16 + 11). Suppose -4*l + 4 = 0, -3*l - p = -a*y + 171. Is 17 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 1. Let h be d(2). Suppose 9*v - 12 = h*v. Solve -t - 5*q = -q - v, 0 = 2*t - 2*q - 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j. Let p(a) = -55545*a**2. Determine d(p(x)).\nAnswer: 55545*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 0.035 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 350*d - 178*d - 180*d + 139 - 4*d**2. Let q(f) = -15*f**2 - 32*f + 556. Let j(w) = -2*q(w) + 9*s(w). Differentiate j(b) wrt b.\nAnswer: -12*b - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 39899703 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 15. Sort j, 5, -1 in descending order.\nAnswer: 5, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10, 13, 18, 25, 34, 45?\n\"Answer: s**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 37, 70, 123, 202, 313?\nAnswer: 462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 4, -0.5, -2\/23?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*q + 58007 = 4*l - 39*q, -5*l + 72525 = 3*q. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 10:23 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1763 - -5287\/3. Which is the nearest to 2\/7? (a) 20 (b) -1\/4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)*1 + sqrt(18) - sqrt(18))*-6 + (sqrt(18) + sqrt(18)*-2 - sqrt(18))*3)\/(sqrt(864)*-1*-6).\nAnswer: -sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 408*c**3 - 461*c**2.\nAnswer: 2448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 42 = 18. Let x be 2\/(-7) - q\/(-35). Which is smaller: -3\/28 or x?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 676018201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = -11*s + 4*s. Let b = s + -22. Solve -5*d + 3*d = b for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*z - 82*z + 8335 = 0. Let l = z + 3720. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*g*p + 207*g - 4*p**3*t**3 - p*t**3 + 2*t**3 wrt p.\nAnswer: -12*g - 12*p**2*t**3 - t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n - 18. Let u be a(-10). Solve -4*m - 2*r - u = -0*m, 3 = m - 3*r for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from ypypllryryyylylyyyr?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3. Let n(j) = j + 16. Let c(t) = 11*m(t) + 2*n(t). Let k(f) = 10*f - 5. Let g(i) = 22*c(i) - 4*k(i). Let b be g(3). Solve b = 3*a - 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((60\/18)\/(-2))\/((-10)\/((-480)\/(-16))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1235 and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*y + 132 + 94 - 10 = 0 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 6 = -g, -25*s + 22*s - 5*g = -13. Solve 3*d - p - 7 = -2*d, d + s = -p for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-74221)\/(-3227) - (0 - -67).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4320441, 34563526, 116651881, 276508140, 540054937, 933214906, 1481910681?\n\"Answer: 4320439*x**3 + x**2 + 9*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152\/13*k + 24\/13 - 826\/13*k**2 = 0. What is k?\nAnswer: -2\/7, 6\/59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34 and 6042072.\nAnswer: 6042072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 14841 divide 846515799?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5283003.\nAnswer: 3, 11, 160091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 231166 and 4184.\nAnswer: 924664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 - -2) + (10 - 23)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-7))\/((-51)\/714)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2266 minus -3.54303?\nAnswer: -2262.45697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*k = -27 - 125 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 263 a factor of 214645295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -27b52 + 5?\nAnswer: -27b4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/500 and -53\/550?\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 7554, 20077, 37618, 60177, 87754, 120349?\nAnswer: 157962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1918296 and 4980?\nAnswer: 9591480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*p**3 + 280*p**3 + 32*p**3.\nAnswer: 283*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2207575*s + 33113620. What is q(-15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5*u = -5*l + 26, 2*u + 23 = 3*l. Suppose -h + l = 1. Suppose 53 = h*x - 7*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248 is divided by 63?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 11*r**2 - 4*r - 1. Let g(y) = 22*y**2 - 7*y - 2. Let v(x) = 4*g(x) - 7*i(x). What is the remainder when 39 is divided by v(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-45)*-42*(12\/42)\/((-12)\/189)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4 + 2 + (-226872)\/(-36)?\nAnswer: 2, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9786 and 24758580?\nAnswer: 24758580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(20\/24*3)*47\/(-94)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -550*k - 65. Let d(b) = 4*b**2 - 21*b - 14. Let h be d(7). Let s(u) = 92*u + 11. Let w(x) = h*s(x) + 6*o(x). Find the first derivative of w(j) wrt j.\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c - 3*c - 4*c + 4*c in the form a*c + r and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of 7*z**6\/30 - 17*z**5\/60 - 11*z**2. Find the third derivative of u(r) wrt r.\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o**2 + 6. Let m(r) = 3*r**2 + 6. Suppose 0 = -t - 0*t + 2. Let a(w) = t*y(w) - 3*m(w). Find the first derivative of a(b) wrt b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/12)\/w**(-1))**(-3\/7) assuming w is positive.\nAnswer: w**(-11\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -304, -292, -274, -250?\nAnswer: -220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13869 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1105332 by -4.\nAnswer: 276333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.2 (b) 1.7 (c) -1\/2 (d) -6 (e) -0.53\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -935 equal to -933?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 4*x - 30, -1645 = -5*i - 3*x. What is the remainder when i is divided by 147?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 211850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, f: 1, x: 1, i: 2, t: 10, r: 3}. What is prob of sequence pf?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 705236.\nAnswer: 2, 7, 89, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**3 - j**2 - 3. Let i = 243 - 230. Calculate the remainder when i is divided by a(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -200*y**7\/21 - y**4\/6 - 347*y**3\/3 - 328*y. Find the second derivative of r(t) wrt t.\nAnswer: -8000*t**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49473 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.19128249 to 2 dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 2) + -3 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w = 3*q - 86 - 84, 0 = -2*q - 5*w + 20. What is the greatest common divisor of q and 1130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 12:35 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14212 and 1496?\nAnswer: 28424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/(-30))\/(2\/21*(-2)\/2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) 1\/19 (b) 4 (c) 0.05 (d) -3 (e) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, f: 4}. What is prob of sequence fff?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 10:46 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 42 = -6*x. Let t be 21\/(-12)*x\/(-49). Is 1 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 75 + -54. Let l = d - 21. Suppose -6*v + 10*v + 12 = l. Let s(u) = 3*u + 2. What is s(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 + 10 = -30*g + g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*24.\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 11\/6 = 0.94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnngnnnngkngnn. What is prob of sequence gnn?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 502 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -39, -31, -35, -63, -127, -239?\nAnswer: -411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/((-3)\/(-9)))\/(-1). Let w(l) = 2*l**2. Let j(k) = -3*k**2. Let a(c) = v*j(c) - 5*w(c). Let n(f) = 2*f**2. What is a(n(y))?\nAnswer: -4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 459142641 to the nearest integer?\nAnswer: 771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 891106 - 63529442.\nAnswer: -62638336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43 and 21.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15831 + 285047\/18. Let r = 442\/27 + 25\/54. Calculate the common denominator of g and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 98*(0 + 1 + 0). Let r = -96 - -110. Calculate the greatest common factor of v and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v - 9. What is i(11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54 + 132. Let v = b + -27. Suppose d + v - 308 = 0. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1650116, -3300226, -4950336, -6600446, -8250556?\n\"Answer: -1650110*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001143 to five dps.\nAnswer: 0.00114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -2. Solve -5*r + 17 = -i, -2*i + k = 3*r - 18 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1674024*l**3 + 418494*l**3 + 418508*l**3 + 418497*l**3 + 418510*l**3.\nAnswer: -15*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 + 4*m - 4. Let n be k(-5). Let w(z) = -n*z**2 + 6*z**2 + 14*z**2. Let l(j) be the third derivative of -j**4\/12 + j**2. What is w(l(y))?\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 31*r**2 + 7*r + 10. Let z(j) = -10*j**2 - 2*j - 3. Give 2*v(f) + 7*z(f).\nAnswer: -8*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -31 - (0 + -3 + 6). Let l = 10 + c. Is 5 a factor of (l\/(-20))\/((-2)\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lfggghr. What is prob of picking 1 f and 1 l?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002951 rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-3))\/(116\/(-609)*-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23958 divided by -1331?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1918 divided by 457\nAnswer: 1918\/457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 398537929?\nAnswer: 541, 773, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 74 + 79 = -3*c, -4*u - 3*c + 183 = 0. Suppose 6*b - 4*b = 4*s + 110, 3*b = -3*s - 87. Let o = u + s. Solve 0*h = -5*h - o for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 2*p + 0*p)*(-2*p**2 - 2*p**2 - 3*p**2) + (3*p - 3*p - p)*(-2*p**2 + p**2 - p**2) + 0*p**3 - 2*p**3 + p**3.\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/(-150))\/(166\/415). Which is the closest to -2? (a) -5 (b) 1\/5 (c) 2 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 10}. What is prob of picking 3 a?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -100, -65, -8, 71?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 6*l**2 + 25*l + 80. Let n(u) = 7*u**2 + 26*u + 80. Let q(g) = -5*n(g) + 6*x(g). What is q(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 4 + 4)*(1 - 2 + 2)*(2 - 1 + 6).\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 394294291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + b - 18 = 0, -10 = -3*d + 2*b + 54. Suppose -d = c + 3*c, -5*j = 2*c - 165. What is the remainder when j is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 7:27 PM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 0*m = 30. Let d(b) = -17*b - 9. Suppose -191*x + 238*x - 395 - 357 = 0. What is the remainder when d(m) is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 818959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(190) + 2*sqrt(190)*2)\/sqrt(5))\/(-3*sqrt(162)*-6))**2.\nAnswer: 475\/26244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b + 5*b**2 + b**2 - 12*b - 4*b**2 as a*b + l + v*b**2 and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 6113*j - 7. Let v(p) = -3052*p + 4. What is 4*t(i) + 7*v(i)?\nAnswer: 3088*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*m + 15 + 83 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-2415)\/276 - 133\/(-4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/8 of a second?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 206 minutes after 12:35 PM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*l**2*z**3 + l**2*z**2 - 225*l**2*z - 6*z**3 - 2*z wrt z?\nAnswer: 18*l**2*z + 2*l**2 - 36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -2. Does 14 divide (-332)\/(-8) - n\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119, 247, 373, 497, 619, 739, 857?\nAnswer: 973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*o - 14*o + 4. Solve 5*u = 3*p - 12, -3 = o*p + 1 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1064503.\nAnswer: 11, 29, 47, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 4) to base 3\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 11 = 5*o, k - 2*o = o + 13. Suppose 3*x + 5*i - 7166 = -7292, 7*i + 138 = -3*x. Sort -9, x, k in ascending order.\nAnswer: x, -9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y + 4*o - 5*o, -4*y + 2*o = 18 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 69984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 4*g + 7. Determine b(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 74*i - 651. Give x(-64).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.1983881 minutes?\nAnswer: 11903286000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 184*m = -179*m - 31, 5*g + 5*m = 10 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 9846, -5, -1, -10 in descending order.\nAnswer: 9846, 4, 3, -1, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -161886.7*-0.4.\nAnswer: 64754.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -683340593916 - 0.3?\nAnswer: -683340593916.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j**4\/4 - 699033*j**3 + 130304224995*j**2\/4 + 78184548225*j\/2 = 0 for j.\nAnswer: -6\/5, 0, 93205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 55*s**3 - s**2 - 5*s - 3. Let p be q(-2). Let r = p - -449. Calculate the greatest common divisor of 96 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 2*g - 8, o + 17*g - 10 = 13*g for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39468 and 391.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3535 is divided by 1622?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 < 462\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-40920)\/(-231))\/(-31))\/((-4)\/(-28)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t + 0 + 4 + 3 - 2. Let n be d(-2). Let r(f) = 0*f**3 + 1 - 2*f**2 - 3*f**3 + f**2. Determine r(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -461 - -985?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - c**2 - c + 1. Suppose b - 2*b = -5. Suppose 93*h = 17*h - 28 - 48. Let l(y) = -6*y**3 - 5*y**2 - 2*y + 5. What is b*w(p) + h*l(p)?\nAnswer: p**3 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32202 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -249b5 (base 12) to base 10.\nAnswer: -49817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2864, -5642, -8318, -10892?\nAnswer: -13364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-2)*6*(-3)\/84?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -55 + 60. Suppose 3*j + 2*q - 366 = 0, -j - 465 = -p*j + 5*q. Suppose 8*d - 2*d = j. Solve 4*m - d = -8 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 - -0.4987028. What is p rounded to four dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2217888 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from addaerrnraoadearadra. What is prob of picking 3 r?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*x, 2*s - 11401 = -5*x + 22750. Is s a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times 9355.988?\nAnswer: 5613.5928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 416.000001377 + -416. Round s to seven decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 49781095.03 to the nearest 100000.\nAnswer: 49800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1279 - 690. Is t a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 6:39 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4049 (b) -0.0997 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 9*g**2 + 11*g + 10. Let s = -16 + 6. Let j be d(s). Suppose j = -2*t + 10 + 26. Calculate the remainder when 53 is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1622 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49015073, -49015066, -49015059, -49015052, -49015045?\nAnswer: -49015038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - c**2 - c + 2. Let q be x(0). Suppose -3*p + 5*p = q. Let v be -4*(-1 + 0)*p. Solve 2*j - v = -0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -30. Is (0\/(-3) - -1) + g a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18134424 and 3388.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 5*b = -30, k + 7*b = -15*b + 25*b - 10 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 121651 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - t + 2*t**2)*(3 + 0 + 1) - 5*t**2 + 4*t**2 + 3*t**2.\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*c, 4*k - 1 = -0*k - 5*c. What is the second derivative of -2*t + 9*t**4 + t + 11*t**k - 16*t wrt t?\nAnswer: 240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 3*a**2 + 4*a - 6. Let x be q(5). What is the greatest common factor of x and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 8:33 AM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + a - 203 - 537, a = 3*f - 548. Solve f*s - 24 = 178*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*c = c + 15, 4*s - 3*c = 7. Suppose 8*k + 127 = 4*k - 3*f, 0 = s*k + f + 117. Let i = k - -80. Calculate the highest common factor of 13 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.058 * 348128.\nAnswer: -20191.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qoq when three letters picked without replacement from {a: 5, o: 4, q: 6, p: 5}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 4, -4 in ascending order.\nAnswer: -4, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 3*d**4\/8 + 1839*d**3\/4 + 196425*d**2 + 32404596*d + 1358057424 = 0.\nAnswer: -388, -62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4884264 and 7706988.\nAnswer: 1186876152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 306 and 1071?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 15, n: 5}. Give prob of sequence ffnf.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiff. Give prob of sequence ii.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(147)*-1)**2 + 0.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 4*b + 1817 = 0, -2*p + 8*b - 11*b + 1213 = 0. What are the prime factors of p?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 + 15744*g + 61968384.\nAnswer: (g + 7872)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a litre in millilitres?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 0, 2\/39, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 9:54 PM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/353021 - 27183097\/84725040. What is the common denominator of -113\/936 and a?\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r - 2 - 1, 0 = 5*z - 5*r for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -8, 22, 2, 15 in descending order.\nAnswer: 22, 15, 2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/9350 - 546979\/37400. Which is greater: -14 or c?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 12:43 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*x**3 + 70*x**4 + 83*x**4 - 34*x + 14*x**3 + x**2 - 163*x - 212*x wrt x?\nAnswer: 3672*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 2:34 PM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/4 - 72\/(-16). Suppose 0 = -4*j + j + 12. Suppose 6 - j = r. Calculate the highest common factor of r and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/250*45\/27?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c - 2. Let r be m(-8). List the prime factors of (-18 + r)\/((-1)\/4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 291538 and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 26415\/(-2348)*(36\/(-120))\/((-9)\/(-24))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 1. Let h = 14809 - 355415\/24. Let r(q) be the third derivative of 29*q**2 + 2\/3*q**3 + 0 + 0*q - h*q**4. Determine r(a) - 4*v(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 318\/3215 at most 45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/(i**(2\/7)*i)))\/i)**(-43))**(-16)*i**(-4\/3)\/(i**(-5)\/i)*i**(-4)*i**2\/i*i assuming i is positive.\nAnswer: i**(4184\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3.076662 seconds?\nAnswer: 3076662000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of z**8\/280 - 13*z**7\/280 + z**6\/4 - 7*z**5\/10 + z**4 - z**3\/3 - 7*z**2. Let g(k) be the first derivative of q(k). Factor g(l).\nAnswer: 3*(l - 2)**3*(2*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21.57? (a) -130 (b) 1\/9 (c) -276\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 356959523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 352 and -0.570503.\nAnswer: -200.817056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-45)*(-2)\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -336.2 rounded to the nearest 10?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (1460*z + 10535 - 10535)*(0*z - 2*z + 0*z)*(-12*z - 2*z + 5*z) + 5*z**3 - 2*z**3 - 5*z**3 in the form f*z**2 + t*z**3 + v*z + w and give t.\nAnswer: 26278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 - -43. Let w be 10\/6 - 6\/h. Let a(i) = i + 1. Let m(u) = 3*u**2 + 18*u + 18. Give w*m(l) - 18*a(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -8, 4 in decreasing order.\nAnswer: 4, -1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 135 (base 12) to base 14\nAnswer: d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/14? (a) -350 (b) -3\/17 (c) 1 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 258925.29 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 235*u**3 - 217.\nAnswer: 705*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 12:33 PM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in -3, -411.64, -0.5, -5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + af?\nAnswer: ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-4)*(4 + -11 + 3). Let y be -1 - (0 - (o - -5)). Calculate the greatest common divisor of y and 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (g - 2*g + 2*g + (17*g + 2*g - 32*g)*(-1 - 3 + 2))*(163*g**2 - 139*g**2 - 53*g + 63*g) as l*g**2 + m*g + f*g**3 + u and give f.\nAnswer: 648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y + 5*y - 7*y - 292*y**3 - 3*y.\nAnswer: -292*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6580309?\nAnswer: 17, 387077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 189\/268 - -3\/67. Which is the second smallest value? (a) v (b) 4 (c) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*l - 559 + 559 + (-1 - 3 + 5)*(-25*l + 10*l - 10*l).\nAnswer: -55*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 i when four letters picked without replacement from {z: 4, o: 3, a: 3, k: 3, i: 7}?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 - ((4 - 0) + -5). Let j = 14.6 + -15. Which is the closest to 2\/13? (a) j (b) n (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57525 and 27495?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of 1\/780*a**6 + 11\/78*a**5 + 2*a + 243\/13*a**3 + 0 + 261\/52*a**4 + 92*a**2. Find f, given that u(f) = 0.\nAnswer: -27, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 200010011 + -2?\nAnswer: 200010004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2003 - 1093 = -315*z - 576. Solve 9*c + 5*v + 25 = 10*c, -4*c - 3*v = -z for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 0 + 0 + 8*a - 6. Let o(y) = 7*y - 5. Suppose -2*n - 35 = 3*z, -2*z = -1 + 11. Let b = n + 16. Calculate b*k(p) - 7*o(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 12 = -5*a. Let l(k) = 2*k**3 - 6*k**2 + 8*k - 4. Let g be l(3). Let p = g + a. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 502327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 + -2 + 0 + -3 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 130 and 16215576?\nAnswer: 81077880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -4*x + 161 - 702, 0 = 4*w - 3*x - 432. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -741*p - 20757. Determine w(-28).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 6 = 3*g - 0, 2 = g + 3*w. Let o = 6130 + -12165\/2. Solve 57*a**g - 26*a + 25\/2*a**4 + 4 - o*a**3 = 0.\nAnswer: 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2422, 2421, 2420, 2419?\nAnswer: 2418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*z - 4*a = 218*z - 50, 17 = -4*z + a for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**7*s*s**14)\/(s**(3\/5))**43)**(10\/11) assuming s is positive.\nAnswer: s**(-38\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4238 and 2?\nAnswer: 4238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -202*c - 1539*c + 312*c - 1919*c + 294*c.\nAnswer: -3054*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 - ((-2 - -3) + -24 + (35 - 12))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**3 + 15*c**2 + 108*c - 26. What is w(-8)?\nAnswer: -954","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8654 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 12 = 3*y, -12*q + 20 = 5*y - 13*q. Let t be (30\/(-20))\/(3\/y). Let o be 18\/(-4)*8\/6. Which is smaller: o or t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3)*(-6)\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/36 and -73\/606.\nAnswer: 3636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 309034 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 26 = -2*q + 4, -2*q + w = 14 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 323 + -323. Let t be 2 + -1 + 4\/1. Suppose 0 = j - w - 79, t*j + r*w - 3*w = 403. Is j a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 11*w + 15. Let r be f(-10). Suppose 2 = -n, -r*n - 8 = 3*j + 2. Let g(h) = -h**2 + h + 8. Determine g(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334885 is divided by 24.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 40213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b + 1. Let w(j) = 9*j**3 - 4*j - 4. Determine -4*t(r) - w(r).\nAnswer: -9*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/7*23\/(-46).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 169 = -n. Let l = 248 + n. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 429 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 4, -1, 3\/4, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 4*a**2 - 24*a + 138. Let z be (-2238)\/2611 - (1 - 96\/14). What is v(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 10*g**2 - 10*g + 13. Let t be k(-11). Let o(j) = j**2 - 106*j + 99*j + 2 - t*j**2 + 4. Give o(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 439229 and 30226?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3159626*b + 12755075 with respect to b.\nAnswer: -3159626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4521*b = -4537*b - 16 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiiiiii. Give prob of sequence iii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33*s**5 + 3*s**2 - 20*s**2 - 2*s**2 wrt s?\nAnswer: 1980*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y - 21*y = 0. Suppose 4*u + 2*k - 28 + 0 = y, 4*u - 3*k = 8. Solve 2*b - u*b = 3*n + 3, -4*n - 16 = b for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 74 = -14. Let y(q) = 7 - 6 + 11*q + 21. Let a be y(14). What is the highest common factor of r and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**3 + 796070*o**2 - 23878725*o + 179082000.\nAnswer: -5*(o - 159184)*(o - 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 924947 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g - 169 = 11*g + 4*h, 5*g + 4*h = 201. Let z = g - 34. Solve z*y = 4*y + 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259*l = 266*l - 1449. Suppose -204 = a - l. Solve -s + 10 = -a*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9673 or -19347\/2?\nAnswer: -9673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02878704244 rounded to three decimal places?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*c**2 + 2 - 3 + 2*c**3 - 1 + 0 in the form l*c + i + d*c**2 + p*c**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 12:18 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -136.87 - -150.9. Let p = -14 + c. What is the third smallest value in 4, 3, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, y: 1, k: 4, a: 4, l: 2, n: 2}. Give prob of picking 2 k, 1 a, and 1 y.\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 6166787440600?\nAnswer: 6166787440603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(80) + (sqrt(80) + (sqrt(80) - (sqrt(80) + 1 + sqrt(80))))**2) - sqrt(80)) + sqrt(30)\/(-1*sqrt(6))*-5.\nAnswer: 2 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 44149347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3800150 to the power of 1\/3, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 3 + -2 + 1 - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 6\/19, 2, -2\/21, 2\/9 in descending order.\nAnswer: 2, 6\/19, 2\/9, 0, -2\/21, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1272*w = -1279*w + 1442. What is the least common multiple of w and 14?\nAnswer: 1442","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97863 divided by -8765?\nAnswer: -97863\/8765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 696165 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2 + -3 + sqrt(2448))**2 + -4 + (3*(5*sqrt(153))\/sqrt(9))**2.\nAnswer: -48*sqrt(17) + 6273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, m: 5, x: 3, f: 2}. What is prob of picking 2 f and 2 m?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2 + l. Let p(q) = q**2 + q. Let r(a) = p(a) - v(a). Let o(t) = 12*t. Calculate o(r(k)).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j + 16. Let w be 2\/5 - ((-444)\/30)\/(-2). Let q be y(w). Solve 0 = -k + q - 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 4, -26910, 2 in descending order.\nAnswer: 4, 2, -13, -26910","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2032 + 2037. Sort i, 38, -12 in descending order.\nAnswer: 38, i, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 80 in -14, 1\/10, -1?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 505 + -455. Let c be (-6)\/2 + 10 + -3. Suppose -8*q = -c*q - 120. What is the greatest common divisor of h and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -1376*j**3\/3 - 2070*j - 1591. What is the first derivative of d(b) wrt b?\nAnswer: -2752*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.19 - -0.01. Let j = 27 - 28. What is the nearest to -1\/4 in j, f, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/10 - (6688\/40)\/22.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n**4 + 68*n**3 - 432*n**2 + 880*n - 592 = 0. Calculate n.\nAnswer: -74, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/49? (a) -5 (b) 1 (c) -2 (d) 1\/4 (e) -97\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nlubzzv. What is prob of sequence nb?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2044*n**2 - 1386*n. Let i(a) = 4*a. Calculate q(i(f)).\nAnswer: 32704*f**2 - 5544*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -161 (c) -0.037 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + -12. What is the lowest common multiple of s and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 6815, 0, 2 in descending order.\nAnswer: 6815, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9, -4, 5, -3.7524?\nAnswer: -3.7524","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -5, 1044.8, -3.7, 5?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 4*d + 2*d)*(5 + 0 - 1) + 0 - d + 0 - 287*d - 303*d + 645*d + 68*d - 66*d + 3 + 4.\nAnswer: 64*d + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1781?\nAnswer: 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + d - 2. Let f be q(0). Let u = -6 - -2. What is the closest to f in -5, -0.3, u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4080*r = -4069*r - 2310. What is the least common multiple of r and 290?\nAnswer: 6090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-1\/5))\/o)\/((o**(-3\/8)\/o)\/o))\/(o**42*o**(-14\/3)) assuming o is positive.\nAnswer: o**(-4219\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -889.1*7.13\nAnswer: -6339.283","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -854596 and 3?\nAnswer: -2563788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -199.6 rounded to the nearest ten?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10301.503 * -0.5.\nAnswer: 5150.7515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*m - 1072 = 2247 - 545 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-6*(-2 + 2 + sqrt(17) + sqrt(17)).\nAnswer: -72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3*f = -214657 - 418787, o = -3*f + 211160. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1*6\/2 + 0 and 0 - (-10 + (-2)\/2)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 2 + (3 - 2))*3. Let h = z + 4. Solve -3 + h = 2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/25 + (-46)\/(-5). Does 8 divide -1 + s\/(3 - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 1365541 = -95741. Round c to the nearest 10000.\nAnswer: -630000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.062337 times 99?\nAnswer: 6.171363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 432252 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*t - 26. Suppose 2*u + 11 = -k, 3*u - 2*k = 3*k + 3. List the prime factors of (-28)\/u*t\/7.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.08 + 0.12. Let b = a - 1. Let m = -0.4 - b. What is the second biggest value in m, -1\/4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38451*q - 8*j - 433 = 38448*q, 4*q - j = 65 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5490)\/(-6954))\/((-4)\/(-152)) + 44.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7464, -5, -157 in descending order.\nAnswer: 7464, -5, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -10\/7, 1\/37, -0.3, 3\/73, -0.2, 0.3?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16296242351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 17*y**2 - y + 11. What is o(17)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 3\/2, 12, -1\/15, 1\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -7*k**2 + 13*k + 1. Let t(l) = -3*l**2 + 6*l. Let u be 5\/(20\/8) - 235. Let s = u - -242. What is s*t(i) - 4*b(i)?\nAnswer: i**2 + 2*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 62.3 - 62.46. Which is the third biggest value? (a) q (b) 1 (c) 0.2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/1)\/((-8 - -4)\/(-8)). Put -5, w, -1, -3 in ascending order.\nAnswer: -5, w, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*n - 0. Let p be (-453)\/(-12) - n\/4. Let r = p - 26. What is the highest common factor of 6 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 108*h - 807. Let r be y(8). Solve 17*n = -2*n - r for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 12*g**2 + 49*g - 66. Let m be l(-39). Round m to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121541 (base 6) to base 16.\nAnswer: 2a25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 154860 + -47232259\/305. Find the common denominator of n and -46\/25.\nAnswer: 1525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/2*(-22)\/3861*9?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, b: 3, k: 1, z: 8, g: 5}. What is prob of sequence bz?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/57328 and -55\/444292.\nAnswer: 1777168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15 - 8 - 6*o + 23*o + 6 wrt o?\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 627135474?\nAnswer: 2, 3, 7, 17, 71, 89, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - -6. What is the remainder when 65 is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 899\/141 - (-68)\/102) + -7?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of 7*i**4\/24 - 2*i**3\/3 + 10*i**2. Let s(g) = g. What is 6*s(k) - v(k)?\nAnswer: -k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46732453.9999884 + 46732487. Let q = b + -33. What is q rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 - -49. Calculate the greatest common divisor of v and 1296.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -63 - -72. Suppose 18*s**3 + 83*s**2 + 96 + j*s**3 - 3*s**4 - 11*s**2 - 138*s**2 = 0. Calculate s.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183699349 to the power of 1\/3, to the nearest integer?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -4, -197 in decreasing order.\nAnswer: 2, -4, -5, -197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.20386 plus 4.27168?\nAnswer: 4.06782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, d: 2}. What is prob of sequence wdd?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**33)**(-1\/4) assuming x is positive.\nAnswer: x**(-33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (18\/(-108)*0)\/(-4 - -2). Solve f = -20*i + 160 - 80 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -483\/5 - -97. Which is the closest to z? (a) 0.6 (b) 2\/9 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-23)\/(-276)*-18)\/((-2)\/44*-3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*k = 33*k + 28 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23406087 rounded to three dps?\nAnswer: 0.234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1467854 and 142.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*y**3 + 0 - 2\/3*y**2 - 4\/3*y.\nAnswer: 2*y*(y - 2)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/((-23)\/(-10) + -2). Calculate the highest common divisor of 10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 215810.4nm to meters.\nAnswer: 0.0002158104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**4 - 204*c**3 + 1916*c**2 - 1716*c.\nAnswer: 4*c*(c - 39)*(c - 11)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 455 = -5*f - y, 5*y - 475 = -5*f. Let s be 2\/(1\/18 + 14\/84). Suppose 3*p = s*p - f. What is the remainder when 100 is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (155\/(-434))\/((-36)\/72).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q + 4. Let r be z(6). Let u = -2 + r. Solve -4*a + u = -0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**2 - 5*a - 2. Let j be n(-3). Let m(f) = 16 - 33 - 11*f - 2*f + 21. Let x be m(j). Round x to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*r + 148*r = 114. Suppose -9*p + 11 = 3*a - 14*p, 0 = 5*a + 4*p - r. What is the least common multiple of 20 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 + -26. Suppose 3*f = k*n + 105, f - 3*f - 3*n = -87. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z + 4*z - 9*z + z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirty-seven fifths of a minute?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 493239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1499 + -1470. Solve -n*r + 30*r = -2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -q - 8, -4*m + 20 = 3*q. Let p(y) = -y**2 - 3*y + 3. Let c be p(-3). Solve 0 = -c*j + m + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 485 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 23*x**2 - 52*x + 46. Let r be n(25). Let u(c) = 95*c**2 + 10*c + 5. What are the prime factors of u(r)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 410 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.3563 to 1 dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 71348 divided by 4\nAnswer: 17837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.4? (a) -1\/8 (b) 1 (c) -28.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, h: 2, o: 1, s: 1, p: 2}. What is prob of picking 1 i, 1 o, and 1 h?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 381757 to the power of 1\/2, to the nearest integer?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 74799178 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/220 and 29\/616.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -11, 18, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (9 + 4 + (-3 - 8))) + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-14) - 19\/(-7). Suppose 4*p - 20 = 0, -5*p + 29 = -3*y + 4*y. Solve -2*u - a*b = -1 - 4, -y*b + 18 = -3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 176061326*y**2 + 14990*y + 5234 wrt y?\nAnswer: 352122652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*d + 1675 = 1603 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**5 + 30*g**4 - 15*g**3 - 150*g**2 + 12*g + 120 = 0. What is g?\nAnswer: -10, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 31*f**2 + 282*f - 44. Let g(m) = -5*m**2 - 47*m + 8. Let p(h) = -6*a(h) - 38*g(h). Calculate p(-24).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m**2 + 12. Let o(t) = 6*t**2 - 22. Let r(g) = -11*b(g) - 6*o(g). Suppose 0 = 4*c + 12 - 28. Let z(l) = 2*l + 0*l - c*l. Give z(r(h)).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 4*o - 1. Let p be a(-2). Suppose -r + 73 = 3*r + 3*q, 5*r + 3*q - 92 = 0. Put r, p, 1, -1 in decreasing order.\nAnswer: r, 1, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 9*g**2 - 648*g - 5762. Let i be y(-9). Solve -12*h + 751 = i for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-2 - -2) + 4 + -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -9*u + 25. Let v(m) be the third derivative of -m**5\/60 - m**4\/3 - 2*m**3 + 8*m**2. Let h be v(-7). List the prime factors of x(h).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3256940727 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 2. Let b = 1.5 - -6. Let l = a + b. What is the closest to -1 in l, 1, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 431203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 9 = 0, v + 626 = 2*x - v. Suppose 0 = -98*l + 94*l + x. List the prime factors of l.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(104) - ((sqrt(104) - sqrt(104)*-3)*-5 - sqrt(104))))\/(sqrt(48)\/(sqrt(6) + sqrt(6) + (sqrt(6) - sqrt(72)\/sqrt(768)) + sqrt(6))).\nAnswer: 1023*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 5*j - 7. Let q be x(-6). Let p be 132\/21 + (-2)\/7. Suppose 5*u + p = -l + 3*l, 5*u - 3*l = -4. Put u, -5, q in ascending order.\nAnswer: -5, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -30.13 (b) -0.3 (c) -1\/12 (d) 4 (e) 1.5 (f) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*p + 45272 = -23038. What are the prime factors of p?\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15348295*w + 10702667?\nAnswer: 15348295","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**2 - o**2 - 3*o**2 - 1 + 1 + 2*o**2 + (-2*o + 3*o - 4*o)*(-o - o + 4*o).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - 4*n - n)*(-27*n**2 - 14*n**2 - 12*n**2) + 7*n**3 - 1613*n**2 + 1613*n**2 + 78*n**3.\nAnswer: 138*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5893901210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 9:41 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00148267656 to six dps.\nAnswer: -0.001483","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j + 88. Let u be h(34). Let g(p) = 3*p**3 - 5*p**2 + 7. Let m(d) = -2*d**3 - 20 + 0 + 14*d**2 - 6*d**3. Calculate u*g(x) - 5*m(x).\nAnswer: -2*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1146827 is divided by 313?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 5 - (15 - -6 - ((-1 - 4) + 17)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16549*h + 49640*h - 16549*h - 16546*h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**3 + 3*i**2 - i - 1. Let n be r(1). Suppose -5*v + v - n*x = -412, x = 0. What is the remainder when v is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -3*a**5\/20 - 7*a**4\/12 - 40*a**2 + 32*a. What is the derivative of y(g) wrt g?\nAnswer: -9*g**2 - 14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74137?\nAnswer: 7, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10.5 + 11. Let x = -918 + 921. Put 0.3, -8, d, x in increasing order.\nAnswer: -8, 0.3, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 186, 170, 154, 138?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 12:58 AM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3.34*13885\nAnswer: 46375.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t + 14. Let m(u) = -1. Let q(a) = -20*m(a) - 2*n(a). Differentiate q(i) wrt i.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of 3*q**2\/2 - 12*q + 11. Let p be n(4). Suppose -5*h - 4*y + y + 2236 = p, -h + y = -452. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 828*w - 1009*w + 1 + 666*w as c*w + y and give c.\nAnswer: 485","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(5\/3)*r**(-23)*r**(18\/7)*r**(-1\/28)*r assuming r is positive.\nAnswer: r**(-1495\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 393427764 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4516*i + 5310831. What is q(-1176)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-2))\/(9 - 18). Sort -1\/3, 5, a, -4 in increasing order.\nAnswer: -4, -1\/3, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -359.25 - -358. Let u = t + 1.55. Which is the closest to -1? (a) u (b) 9 (c) 0 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52 + 57. Solve 15 = -5*i + y for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, s: 3, y: 2, o: 2, t: 6}. What is prob of picking 1 t and 1 y?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 13133 (b) -26 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 741092 is divided by 72?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-9)*9\/(-12).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8871.7 or 25665?\nAnswer: 8871.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q + q - 3*q)*(0*q**2 - 4*q**2 + 3*q**2) + (0*q + 0*q - q)*(0*q**2 - q**2 - 4*q**2) + 4*q**3 - 6*q**3 + 3*q**3.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 6:12 PM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-10) + 97\/(-5). Let m = 37 + u. Suppose 2*f = 4*f - m. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2497501 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -299*j**6 + 1 + 0 + 235*j**2 + 86*j**6 wrt j.\nAnswer: -25560*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**2\/21 + 20*y\/7 = 0.\nAnswer: -30, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -2. Let j = 482 + -474. Let p(i) = -8*i + 66. Let a be p(j). Put a, -2, u in ascending order.\nAnswer: -2, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 340, 2, 94, 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8 - ((-23 - -20) + -1 + 3)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 3*i - 177, -3*f - 23*i = -18*i - 153. What is the highest common divisor of 1330 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2998647?\nAnswer: 3, 17, 47, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 787838 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2. Let b(o) = 13*o**2 - o. Let w(z) = -11*z**2 + z. Let t(s) = 4*b(s) + 5*w(s). What is 2*a(f) - t(f)?\nAnswer: f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 8*l**2 - 6. Let g be -12*2*((-2)\/3)\/2. Determine x(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 3*f - 2. Let z be c(-4). What is the third derivative of -2*b**z + b**5 + 4*b**3 - 4*b**3 wrt b?\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -427 + 806. Suppose -n = 5*z + x + 528, 4*z - 2*x + 734 = 0. Let g be 1*-1 + z\/(-140). Is -1 less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -2002?\nAnswer: -2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*h**2 + 4*h**2 - 59*h**3 + 17*h**3 - 84*h**2.\nAnswer: -42*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 5*n + 43 = 4*g, -31 = -4*g + n. Suppose -464 = -g*y - 429. Solve 0*f = -y*f + 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*a - 83*a + 579 - 1377 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/i**(-2\/3))**(-2\/11))**(-2\/17) assuming i is positive.\nAnswer: i**(32\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 2 - ((36 - 68) + 36 - (-4 - 28)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4047069 and 44239?\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 6 = l, 0 = -b - 19*l + 17*l - 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/1218 and -53\/2030?\nAnswer: 6090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**2 - 20*f**3 + 11*f**3 - 99989090*f + 99989091*f - 130*f**3)*(-f**2 - 1 + 1).\nAnswer: 139*f**5 - 3*f**4 - f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xlxx?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 922*p**2 + 121*p - 3638. Is g(29) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 + 0.2. Let u = 0.3 - x. Let f = 1.5 + -1.1. Which is the third smallest value? (a) f (b) 3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1961*f + 571*f - 616*f)*(f - f + f**3).\nAnswer: -2006*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 5*g**2 - 5*g - 8. Let k be a(6). Is (10\/(-4) - k)*-326 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 55, 19, -31, -95, -173?\nAnswer: -265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and -238801601147.\nAnswer: -238801601150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1006734)\/(-57) - (5 + 1\/(-3)*0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s**3 + 60*s**2 + 2*s + 29. Calculate j(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-8 - 175\/(-20))*684.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3258146989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -6*q. Let x(b) = -5*b. Let r(h) = 4*x(h) - 3*y(h). Let v(i) be the first derivative of i**2 + 1. Calculate r(v(j)).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1533, -1503, -1487, -1485?\n\"Answer: -7*k**2 + 51*k - 1577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + y**2 - y - 1. Let w be v(-1). Suppose 0 = -5*u + 5*g + 25, 4*u = -w*g - 3*g + 6. Let r(x) = -4*x + 4. Give r(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10280866\/13057395 - 1\/300170. Calculate the common denominator of h and 79\/60.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwtwt. Give prob of sequence tw.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -18. Let z = u + -2. Suppose 0*g - z = -3*g. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95905 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**3\/7 + 23865*k**2\/7 + 6490200*k - 1165626000 = 0. What is k?\nAnswer: -4060, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 185? (a) -1\/3 (b) 3 (c) -3 (d) -5 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 94 - 51. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9386 + 46931\/5. Let f = -12 + 12.3. What is the nearest to f in c, 1, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 163*b - 335. What are the prime factors of l(28)?\nAnswer: 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 116*f**3\/3 - 166*f**2\/3 + 46*f\/3 + 4\/3 = 0.\nAnswer: -2\/29, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**3 + 0 + 0)*(1 - 2 - 1) + z - z - 2*z**3 + 0*z + 2*z**3 + 0*z - 2 + 2 - z**3 - 2*z**2 - z**3 + 2*z**2 - 113674*z**3 - 4*z + 110882*z**3 + 4*z.\nAnswer: -2798*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*t + 1\/2*t**2 - 1\/2.\nAnswer: (t - 1)*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 107212*x**6 + 4*x**5 + x**2 - 3988*x + 22.\nAnswer: 12865440*x**3 + 240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291186 is divided by 132.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5193180 by -57702.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 1427.\nAnswer: 1427","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a + 2903 - 2903.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001446 to six decimal places.\nAnswer: 0.000145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8082 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.69338764 rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3*(3 + sqrt(17)*-1))*6.\nAnswer: -84 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of h**7\/2520 - h**6\/120 + 3*h**5\/40 + h**4\/6 + 5*h**2. Let p(r) be the second derivative of k(r). Factor p(w).\nAnswer: (w - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -31407691.\nAnswer: -2\/31407691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -10 + 32 + -9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -16*c**3 + c**2 - 9*c - 7. Calculate the remainder when 1429 is divided by u(-2).\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of 7*v**5\/40 - v**4\/3 + 8*v - 8. Factor y(z).\nAnswer: z**2*(7*z - 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -29 (b) -0.4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 22. Let k = 12.999928 + d. What is k rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 555 divided by 22\nAnswer: 555\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b - 3. Suppose 5*s - 2 = 4*s. Suppose -s*i + 7 = 1. Let p = 0 - i. What is r(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 152?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 141537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1238232252?\nAnswer: 2, 3, 103186021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h - 4. Let m be p(4). Let s(o) = o**2 + 7*o - 11. Let w be s(m). Put 1, 3, w in increasing order.\nAnswer: w, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m - 5. Let k be u(0). Let p be (-5)\/8*236\/(-295). Which is the fourth smallest value? (a) -3 (b) -0.1 (c) p (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -374601.1?\nAnswer: -374602.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 10 = 12. Let z(r) = 169*r**3 - r + 2. What is the hundreds digit of z(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 5*i + a - 55, -4*i - 2*a = -68. Suppose -5*f - i = z, -40 = 2*z + 4*f - 4. Let p = z - -28. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267 is divided by 255.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*f - 16, 6 = 4*f - 6. What is the remainder when 34 is divided by ((-8)\/z)\/((-6)\/75)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 777041 is divided by 68?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*x**5 - 167*x**2 + 167*x**2 + (x - 2*x + 0*x)*(-3*x**4 + 0*x**2 + 0*x**2).\nAnswer: -23*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 273 = 3*l + 375, 5*l + 4*q + 165 = 0 for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -1 + 16*z - 6*z - 11*z + 5. Let j(r) be the third derivative of r**3\/6 + 15*r**2. Let c = 40 - 28. What is c*j(w) - 3*h(w)?\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 5*l**2 - 3*l + 1. Calculate k(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 50*l**2 - 91. Determine x(50).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 323 divide 646000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 434184, 434154, 434124, 434094, 434064, 434034?\n\"Answer: -30*v + 434214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (4 + 0 + -10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0123203916 rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + 36. Does 17 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36410.72073 + -36411. Round w to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*q. Suppose q = -0*k + 4*k - 20. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 2. Let l = -17 - -15. Let y be 6*l\/18*-2. Sort y, c, 0 in ascending order.\nAnswer: c, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 27751?\nAnswer: 27746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -2. Suppose -4*g + 20 = 0, -g - 69 = -3*q + 16. Calculate the least common multiple of q and d.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8684265 and 610?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*(0 + 31\/(-4)). Let z = -18 - v. Let t = z - 5. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 118, 126, 136, 148, 162?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 966 = -3*k, -5*m - 4*k = -m - 768. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5 = -j - 1, -4*m + 20 = -2*j. Let t be (-2)\/j - 2\/6. Suppose -a + 3*u - 3 = 0, -u - u + 4 = t. Solve b + b - a*i = -17, -3*b = i - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 36*n**2 - 21*n + 21. Let k(l) = 7*l**2 - 4*l + 4. Let h(o) = -21*k(o) + 4*s(o). Let j(y) be the third derivative of -y**4\/12 - 38*y**2. Give h(j(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2551.56823 rounded to zero dps?\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/296, 0, -62?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + h - 18, 0 = 5*n - 4*h - 14 + 2. Solve 5*r + 10 = 0, -5*r - 24 = -n*m - 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 283, 573, 863, 1153, 1443?\n\"Answer: 290*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -15*k**2. Let v(g) = -645 + 119 + 600*g**2 + 526. Calculate q(v(i)).\nAnswer: -5400000*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 15 - ((-4 - -3) + 9)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40 or -23?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31114643?\nAnswer: 7, 4444949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2730.051 - 2730. Which is the nearest to -2\/3? (a) 5 (b) u (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1017855419 a multiple of 3277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**13\/w**(-3\/11))**(19\/4)*(w\/w**0*w*w)**(-36)*(w**(-1\/4))**(2\/23) assuming w is positive.\nAnswer: w**(-11379\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 657600 and 10275.\nAnswer: 657600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 119 and 960211?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/7))**(17\/6)*(((r*(r\/r**(-4))\/r*r)\/r)\/r)\/(r*r*r**(6\/7)) assuming r is positive.\nAnswer: r**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/2*30*(-2)\/(-135).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10620bb + 5?\nAnswer: -10620b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105740, 108655, 111570, 114485, 117400, 120315?\nAnswer: 123230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*d - 555 + 513 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2070 + -1722. List the prime factors of g.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 305*k - 8572 - 12079 = -826 for k.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 297 - 289. Sort 4, u, 2, 1 in increasing order.\nAnswer: 1, 2, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 - z + z + (0*z + z - 3*z)*(5*z + z - 208 - 5*z).\nAnswer: -3*z**2 + 416*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1061 (b) 0 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + 9*i + 0*i + (-6 + 4 + 1)*(3*i - 4*i - i) - 7*i + 2*i + i)*(-30 - 13 - 7).\nAnswer: -150*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 16*x**3 + 335*x**2 - 1277*x - 3. Give q(4).\nAnswer: 1273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(9\/(-6))\/(-3). Let a be (0\/(-8))\/(4*d). Suppose v - 112 = -a. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 153217 or 153193?\nAnswer: 153193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*j + 10 = 0. Let i be (-69)\/(-15) + j*(-5)\/(-25). Solve v - i*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -18*m + 252. Determine p(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -53*j + 9. Let u(k) = 131*k - 20. Let a(s) = 5*t(s) + 2*u(s). Let o(c) = -c. What is -a(w) + 4*o(w)?\nAnswer: -w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 25 = 2*j, -u + 2*u = -5*j - 3. Let t = 0 - 2. Let r = t + u. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 746 + -264. Suppose y = -4*b + 502. Solve -h - 2*h = -b*f + 20, -3*h + 20 = 5*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 240875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (-12)\/(-10)*-1. Let p = 15.9 - 11. Let f = p - -0.1. Which is the second smallest value? (a) 3 (b) f (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -15*k - 1044*k**2 + 1045*k**2 + k. Let t(n) = 4*n. Let w(b) = 2*o(b) + 7*t(b). Let q(z) = -12*z. Calculate q(w(j)).\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z**3 - 24*z**2 + 7*z - 49. Let a be s(-9). Is 134 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-14))\/(((-24)\/(-7))\/2).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8 - 280\/36 - (-2990)\/(-9). Let j = z - -350. What is the greatest common factor of j and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 472*x - 474*x + 1, 6 = 2*y for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3145 + 2087. Let l = a + 1058.001214. What is l rounded to 4 decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/2)\/m*m)**(-25)\/(m**(-4\/3)\/((m*m**(2\/9))\/m)) assuming m is positive.\nAnswer: m**(253\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 8 = -4*m. Suppose -5*u + 139 = 3*h, 0 = m*h + 5*u - 3*u - 238. Does 12 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 39*p - 12 + 23 in the form l + v*p and give v.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1459211355?\nAnswer: 3, 5, 7, 171571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**5 - 28*r**4 + 138*r**3 - 280*r**2 + 200*r.\nAnswer: 2*r*(r - 5)**2*(r - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 23 = -2*w, -3*w + 6*w + 9 = -u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, s: 2, r: 3}. What is prob of picking 2 p?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + a = -285, -17*y + 18*y + 2*a = 150. Suppose y*l - 143*l - 195 = 0. Is 13 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8995634.\nAnswer: 2, 4497817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 24542, 98129, 220776, 392483, 613250, 883077, 1201964?\n\"Answer: 24530*b**2 - 3*b + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - 11*d - 77. Let g(x) = x**2 + 8*x + 78. Calculate 3*g(s) + 2*r(s).\nAnswer: s**2 + 2*s + 80","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -5*v**7\/7 - 25*v**3\/3 + 26. Find the third derivative of x(g) wrt g.\nAnswer: -600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 2 - 30. Suppose -4*p = t, -3*l + 545 = 3*p + 197. Find the common denominator of 326\/l - 4\/6 and -79\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -231 + 231 - 925*d**3.\nAnswer: -925*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0 (b) 12\/11 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3390*z = 31051 + 9629 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 1 - 103 = 10*p for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -39213913, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*o = -42, 0 = -2*m + 16*o - 15*o - 63. Let z = -119\/4 - m. What is the biggest value in 3, -1, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 618719950.\nAnswer: 2, 5, 61, 202859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -2*x**5\/5 - x**4\/6 + 91*x**2\/2 + 2*x - 2. Differentiate c(a) wrt a.\nAnswer: -24*a**2 - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + -2.335.\nAnswer: 0.665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u. Let k(v) = -10365*v. Determine d(k(l)).\nAnswer: 10365*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + -14 + 31 + (-23 - -48).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, t: 15}. What is prob of picking 3 p?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2506450847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 22 = 3*j - 5*j, 5*i - 13 = -j. Let k = -2 - -2. Let g(w) = k + w - 3*w + 6. Calculate g(j).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 5221759\nAnswer: 522175.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k - 10. Let v be x(-7). Let y = -435 + 435. Solve 2*w - w + v = y for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51541 less than or equal to 51538?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jcllcjjl. What is prob of picking 3 l?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3121360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46 - -41. Let t = 1621 + -1616.035. Let v = t + h. Round v to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08119 * -4\nAnswer: -0.32476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.4 + -2. Let y = -3.4000094 + k. Round y to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 198\/42 + 4\/14. Suppose 190 = 5*y + t*u, 0*u - 20 = 4*u. Does 21 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 187720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98682141.\nAnswer: 3, 107, 173, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -1\/72*h**5 - 2*h - 5\/36*h**4 + 0 + 25\/36*h**3 - 2*h**2. Solve w(l) = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.0284, 32, -2, -3, -1?\nAnswer: -0.0284","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*p**2\/13 + 205947590*p\/13 - 45766132\/13.\nAnswer: 2*(p + 11441533)*(9*p - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 10:19 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-2 + (sqrt(605) + 2)*-6 + 4)**2 - 5*(((sqrt(605) + sqrt(605) + 1)*5)**2 + 4 + (-1 + sqrt(605) - sqrt(605))**2 + sqrt(605))).\nAnswer: -280768 - 4235*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 174*l**3 - 5*l**2 - 14*l + 1523. Let x(c) = -89*c**3 + 3*c**2 + 8*c - 762. Let w(b) = 4*t(b) + 7*x(b). What is the third derivative of w(j) wrt j?\nAnswer: 438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -5*k + 5*g + 27, k + 3 = 3*g. Is 12 a factor of 1034\/k + -6*(-3)\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, i: 3, j: 1, g: 2, w: 6}. Give prob of sequence wi.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2439493 is divided by 32098.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 25 = 5*k - 13, -5*c - 3*k = -116. Calculate the remainder when 328 is divided by c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1424.135936 rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-112)\/(-280)*(1 - 13\/8).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 18. Let y = 30 + c. Let n(k) = k**3 - 8*k**2 + 2*k + 18. Calculate the remainder when n(8) is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1200 - -121302321?\nAnswer: 121301121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22.3 - 27.3. Let f = -1055\/8823 + 1\/519. Let x = 0.4 + 0. Which is the biggest value? (a) f (b) x (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14265 equal to -14265?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 179 divide 70764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - 100 + 154. Let x(r) = 47*r**2 + 9*r + 9. Let m(i) = -12*i**2 - 2*i - 2. Calculate p*m(n) - 2*x(n).\nAnswer: 14*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3430415 divided by -686083\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**3\/2 + 21*u**2 + 90*u + 108 = 0.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -21. Suppose -z + 0*q - q = 2, 0 = -z + i*q + 10. Solve 3*f + 12 + 0 = z for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*h**5\/4 + 190289*h**4\/4 + 348439149*h**3\/2 + 976934714*h**2 + 454513816*h - 1605715680 = 0 for h.\nAnswer: -7316, -60\/13, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 4:43 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + r**2 + 1. Let m(v) = -112*v**3 + 6*v**2 + 6. Calculate m(u) - 6*p(u).\nAnswer: -118*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -414*t + 4881 - 840 = -2169. Sort 0, 3, t, -24 in decreasing order.\nAnswer: t, 3, 0, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 12*w - 22. Let i be a(6). Suppose -7*z + 2*z = 5*o - 2250, 0 = 5*o - 5*z - 2250. What is the greatest common factor of o and i?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -924 - -928. Solve -5*f = -2*f - 9, f - i = -l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000893799 to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 8*t**2 - 98*t - 12. Let l be c(13). Solve l = -23*a - 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 221\/8840 - 78\/1520.\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 139549 (base 11) to base 16\nAnswer: 3520b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -54 + 56. Let k be -7*(-1)\/g*100\/35. Solve -4*c - k = -2*t, -t + 5*t - 20 = -4*c for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -62604*i - 20. Let c be s(-5). Round c to the nearest 10000.\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1881450146?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t = -7106 - 1036. Is 41 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/2)\/((-3)\/(-336)). Let j be 4\/10 - a\/35. Suppose 3*z + j*k - 364 = 131, -2*z - 5*k + 341 = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*h - 7 = 0, -h = 3*q + h - 9. Let k be (q\/4)\/((-3)\/(-24)). Solve 5 = 3*d - 4*a + k, d = -3*a + 14 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 2, -2*b + 240 = 4*s - 940. Let x be (-5 + b\/116)*1. Suppose 0 = n - 6*n. Which is smaller: n or x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45100?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -607*p**3 - 5*p**2\/2 + 91*p - 1808. Find the second derivative of l(w) wrt w.\nAnswer: -3642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 5*f - 12, 0 = -0*k - k + 4*f + 18. Find the second derivative of 2*l + 2*l - 2*l + 0*l + l**k wrt l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1051 + -1056 - (1 + -2 + 1 + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 2*d**2 - 3*d + 4. Let q be h(3). Suppose -q*b - 7 = -3*b. Let s = b + 24. Solve 5*x + 2 - s = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.667847847 rounded to five dps?\nAnswer: 0.66785","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 13*a**2 + 31*a - 13. Let x be m(15). Solve -4*l = -x*c + 8, 2*c + 19 = -l - 4*l for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1924092 divided by -6612\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26 by -178.\nAnswer: 13\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-6)*((-540)\/40 + 9). Sort 0, 25, 3, g in increasing order.\nAnswer: g, 0, 3, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 4*n - 5*r, 18*n = 20*n - 3*r - 4 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 759608.\nAnswer: 2, 94951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -6. Suppose l*p = 59 - 14. Solve -5*f - 6 = p for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 98 (c) 2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/16 and -85\/36.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 a, and 1 e when three letters picked without replacement from kkkkkoakkkkkae?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2341062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*q - 102 = 0. Let a be ((-85)\/q)\/(2\/(-12)). Suppose 3*v = -3 + a. Solve v = -3*z + 2*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 91807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 476\/(-595)*(-1)\/4.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 388365260.\nAnswer: 2, 5, 569, 34127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 71398050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -551214 divided by 4878.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 96.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*a**4 - 64436*a**3 + 398860*a + 19.\nAnswer: -84*a**2 - 386616*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 2. Let x = -5\/2 - u. Let c = 6 + -6.3. What is the biggest value in -2, x, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 123647 and 968497?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + ((-6 - 0) + -226 + 218 - -2)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -93 + 8.9716669.\nAnswer: -84.0283331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 + -31. What is the closest to 6 in -2, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/3 in 0.3, 4, -4, 7, 2\/21?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -p - 2*q, -q - 11 = -5*p - 3*q. Let i be 196 + (p - -1) + 15\/(-5). Let y = -112 + i. Does 15 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.05 - 0.05. Suppose -2*y = 3*m - 4*y + 23, 3*m - 3*y = -27. What is the second biggest value in m, r, 0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*138*(-12)\/(-18). Suppose 30 = -d + n. Calculate the remainder when d is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 985691 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/3 + (12 - 1793\/132). What is the nearest to 0.1 in 2\/7, -5, c?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, k: 1, g: 5, i: 4, n: 5}. Give prob of sequence nng.\nAnswer: 25\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -5*y + 15. Suppose -4*v - 49 = -y*v. Let o = 51 + v. Is o > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, z: 9, b: 4}. What is prob of sequence zz?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 27*f = -19*f - 76, -5*f = -4*v + 23. Solve -v*n - 28 = -26*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (15 + -30 - 3).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-566)\/(-3) - (2 + 21\/(-9)). Calculate the highest common factor of 27 and l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 56 = -4*f, 1014*i - 1009*i + 42 = 2*f. Calculate the common denominator of f and 37\/2207.\nAnswer: 2207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 891, 451, -335, -1479, -2993, -4889, -7179, -9875?\nAnswer: -12989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (-3)\/(9\/(-3)). Let s be (2\/4)\/(11\/242). Suppose p - s*p = d. Let h(y) = -y**3 - y**2 - 7. Calculate h(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 146878, 293788, 440698, 587608, 734518, 881428?\nAnswer: 1028338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - (-256)\/(-40)) + (-322)\/(-280)?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4711 (b) 8 (c) 115\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 26*o**2 + 177*o + 43. What is the tens digit of j(37)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66917187149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 7*r - 14. Let j(h) = 6 - 1 + h - 5 - 2. Let m(w) = -2*f(w) + 18*j(w). Let z(n) = 2*n**2. Give z(m(a)).\nAnswer: 32*a**2 - 128*a + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 910 - 551. Let y = a + -225. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)\/(sqrt(4) + (sqrt(4) - sqrt(64))))\/(-2*sqrt(192)) - (-4 + 2*sqrt(48) + 1)) + 0.\nAnswer: -127*sqrt(3)\/16 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.26 in 0, -1\/14, 3?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 5*b - 9. Suppose -2*s - 2*d = -4*s + 12, -15 = -2*s + 5*d. Let u be m(s). Let c be -864 - (u + -16 - (0 + -4)). Round c to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2\/9, -1\/4, 0.0722?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 j when three letters picked without replacement from {v: 5, j: 3}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from czeetozzzooc. Give prob of sequence to.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*s = -598*s + 72*s + 272*s + 21896 for s.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00290726594 to 7 dps.\nAnswer: 0.0029073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 42884099 to the power of 1\/2, to the nearest integer?\nAnswer: 6549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138 = 21*m - 572 + 80 for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -45 in 3\/11, 396, -3\/8, -0.2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -8*m**4\/3 - 6*m**3 - 2*m**2 + 106*m - 2. Factor y(z).\nAnswer: -4*(z + 1)*(8*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 15632 = 13*g - 14*g, -2*g + 2*k + 31232 = 0. Does 54 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 7*i - i**2 - 7*i. Let w(z) = 7*z + 4. Let u(m) = 36*m + 21. Let c(f) = -4*u(f) + 21*w(f). Let j(d) = -6*d. Let n(a) = -9*c(a) - 4*j(a). Give n(s(y)).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63807?\nAnswer: 3, 21269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 510 = -5*g + 15*g. Does 11 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.498355 times -32\nAnswer: -15.94736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 10*c**2 + 12*c - 8. Let h = -3 - -14. Let u be f(h). Let i = 10 - u. What is the lowest common multiple of 11 and i?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*p + 2*p + p)*(-8 - 19 + 20) + 0*p + 3*p - 2 + p.\nAnswer: 32*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**3 + p**2 + 2. Let q be (-2)\/(-8)*23 + (1 - (-30)\/(-40)). Let c(o) = o**3 + o**2 + 1. Give q*s(h) - 10*c(h).\nAnswer: 2*h**3 - 4*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b - 24 = -32 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**2\/9 + 16676*a\/9 - 1718200 = 0. What is a?\nAnswer: -4950, 781","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (3\/6)\/(3\/6)*-1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 7*(0 + 93). Suppose o + 2*f = 328, 2*o = f + 2*f + r. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 413 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 1 - 1) + -2 + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2. Let c(w) = -w + 16. Let d(q) = -10712*q + 107120. Let h(o) = 20085*c(o) - 3*d(o). Determine x(h(t)).\nAnswer: 145226601*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3149156, -6298312, -9447468, -12596624?\nAnswer: -15745780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 6. Suppose 3*m - 3 = 3*z, q*m - 2 - 11 = z. Differentiate -3*y**3 - y**3 - y**3 + 3*y**3 - z with respect to y.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1811863400.\nAnswer: 2, 5, 17, 109, 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-40)\/12)\/(2\/(-3)). Suppose 0 = x - d. Suppose -4*i + u + 31 + 6 = 0, -i - 4*u = -x. Are i and 9 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3*h + 37525, 37*o - 2 = 38*o. Round h to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 + -22. Let o = -0.051 + -12.349. Let i = o + 63.4. Which is the biggest value? (a) q (b) -3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and 24.4554423279492.\nAnswer: 25.4554423279492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -54\nAnswer: -5\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 3*z, 0 = y + z + 4*z. Let l = 8389 - 411063\/49. Which is bigger: y or l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**5)**4\/(w*w\/(w*w**(7\/3)*w*w)*w**(-2\/5)) assuming w is positive.\nAnswer: w**(416\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 25041587 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 128742969*x**3 - 1060*x + 24868.\nAnswer: 772457814*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-24)\/(-16))\/((-1)\/(-8)). Suppose 12 + a = -3*y. Let f = 48 - y. Is f a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -8. Suppose -57 = -3*j - 2*y, 0*j = 5*j + 3*y - 94. Suppose -j = -q*r - 8. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s**3 + 8*s**3 - s**3)*(1 - 4 + 2) + 189*s**3 - 10 - 14 - 183*s**3 to the form c + m*s**2 + k*s + z*s**3 and give c.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 25*x + 128. Calculate the lowest common multiple of 6 and o(29).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1221717659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 330411?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 10.2. Let f = -62 - -30. Let s = -37 - f. Is s smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-585)\/(-234)*((-216)\/(-27))\/(12\/(-14))\nAnswer: -70\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 520 a factor of 376480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*m**3 - 2*m**2 - 2*m**2 + 34*m - 34*m.\nAnswer: -20*m**3 - 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of 11*l**3\/6 - 3*l**2 + 102*l. Let t(m) = -100*m + 55. What is 55*s(j) + 6*t(j)?\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sqs when three letters picked without replacement from seqqssesssessssss.\nAnswer: 11\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**3\/13 - 2458*y**2\/13 - 9856*y\/13 - 9864\/13 = 0.\nAnswer: -2, 1233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/20657 and -58\/7161.\nAnswer: 21132111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3887*w = -3668*w - 4161 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-2 - (-3)\/12*4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1448328 and 518?\nAnswer: 1448328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 11:14 AM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a**4 - 88948*a**3 + 337850*a**2 + 71128*a = 0. Calculate a.\nAnswer: -1\/5, 0, 4, 8891","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.044836 micrometers in millimeters?\nAnswer: 0.000044836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 124 + -101. Suppose -14 = 30*y - s*y. Is 10 a factor of -3 + -1 + (y + 3 - -53)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0088 + 0.06395. What is g rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -0*j + 5*j - 71, -22 = -2*j - 4*p. Suppose -4*n + 3 = j. Let m(b) = -3*b - 3. Give m(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -10. Let k(w) = 2*w**2 - 18 + 3 - 4*w - 7*w. Let f(g) = -g + 6. Let p be f(-5). Let r(y) = y**2 - 6*y - 8. Give h*k(j) + p*r(j).\nAnswer: -j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 227 - 301. Let s = h + 78. Which is the second biggest value? (a) -2\/19 (b) 1\/5 (c) s (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/21*(19\/6 + 10\/(-12)). Let n be (-1)\/3 + (-4)\/(-6). Factor 1\/3*q**4 + 1\/6*q**5 + 0 + 0*q - 1\/6*q**3 - n*q**i.\nAnswer: q**2*(q - 1)*(q + 1)*(q + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235*z + 9544 - 13304 = 0 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0040664 to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 0.46577.\nAnswer: 0.139731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of 6*k**2 + 1\/600*k**6 + 1\/150*k**5 + 0 + 0*k - 1\/15*k**3 - 1\/120*k**4. Solve u(m) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(25) + sqrt(900)*-4)*-5)\/(sqrt(15)\/(sqrt(9)\/sqrt(3)*4)*-2).\nAnswer: -460*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 365749.\nAnswer: 365749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 2\/25 (c) -22\/7 (d) 8\/33 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3173 - 370.9173. Let f = 369 + l. Which is the third biggest value? (a) f (b) -0.5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 1871*r - 1869*r - 4, 28 = f + 5*r for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20)\/(-130) - (-48)\/26. Suppose -4*c - 1482 = -2*t - v*c, -c = 4. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 6*z - 20. Let x be 1*z*1\/1. Find the third derivative of -2*y**2 - y**x + y**4 - 2*y**4 wrt y.\nAnswer: -48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 7*w + 21. Let s(n) = -13*n - 41. Let h be 16 + (-21)\/1 - 6. Calculate h*x(t) - 6*s(t).\nAnswer: t + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 14*o**3\/11 + 290*o**2\/11 + 672*o\/11 - 216\/11 = 0.\nAnswer: -18, -3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -2*v + 4. Let y = -1.504 - -1.404. Put v, -2\/11, y, 2\/9 in increasing order.\nAnswer: v, -2\/11, y, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4917721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -62 or -101?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -158450000 rounded to the nearest one million?\nAnswer: -158000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 260 and 12220?\nAnswer: 12220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3176 divided by -397\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l + 1. Let i(k) = -3*k - 2. Let g(r) = i(r) + 2*w(r). Let f(h) be the first derivative of 0*h**2 + 0*h**2 + 1 + h**3. Determine f(g(u)).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-2)\/46))\/((-450)\/(-100)*11\/198).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3036 a factor of 250443112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**4 + 3894*i**2 + 3272*i wrt i.\nAnswer: -12*i**2 + 7788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/8497840 and -13\/9805200?\nAnswer: 127467600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(162\/((-3024)\/(-56))*(-2)\/18).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3972*x + 3862*x + 41 + 14. Let f(s) = 219*s - 113. Let b(g) = -6*f(g) - 13*o(g). What is the derivative of b(a) wrt a?\nAnswer: 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1729 + -305.\nAnswer: -2034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-20)*p*p)\/p**14)\/(p\/((p\/(p\/p**(2\/17)))\/p))**(-34))**31 assuming p is positive.\nAnswer: p**992","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 4, -1, -15.\nAnswer: -15, -1, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -908.00077 - -908. Round s to five decimal places.\nAnswer: -0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 4*u - 8 = -27, 0 = -5*n + 3*u + 47. Let k(v) = -v**2 + 12*v + 1. Is k(n) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 7*n**2 + 7*n + 11. What is w(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 585750733.\nAnswer: 1777, 329629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 242 and 31823?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of 6*r**6\/5 - 10*r**2 + 22*r. What is the first derivative of i(v) wrt v?\nAnswer: 144*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 1162500*h. Let w = -23 + 15. Let j be t(w). Round j to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3422 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/2605 and 36\/55.\nAnswer: 28655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c - 9 + 27. Let r(n) = 133*n - 19. Let x be r(c). Calculate the highest common divisor of 20 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -2.008 + 615426?\nAnswer: 615423.992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 67 and 362.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1619*v + 1541*v + 14*v - 58824 = 723*v for v.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((45\/6)\/(-5))\/(231\/44).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-2\/5)\/o))**(2\/13)*o\/(o**(-8)\/o)*o**(-4\/5)\/o*((o**(1\/5))**(-9\/2))**(-1\/4) assuming o is positive.\nAnswer: o**(4573\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 4:55 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -994.69 to the nearest 10.\nAnswer: -990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1951841 is divided by 6463?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2\/3 + 12358*p\/3 + 6178\/3.\nAnswer: 2*(p + 3089)*(2*p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 252 - 220. Sort -4, o, -5\/6.\nAnswer: -4, -5\/6, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3d (base 14) to base 15\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, 649, -2\/3, -2\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -31*v**2 + 8*v - 6. Let j(u) = -62*u**2 + 17*u - 13. Let f(k) = 6*j(k) - 13*y(k). Let b be f(-2). Suppose -5*m + b - 3 = 0. Does 9 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 55278864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(2 + -1 - -1). Suppose 5*o = -2*y - y + 51, 0 = 3*y - 4*o - 24. Suppose -3*v = -2*s - y, -s = 3*s - v + 4. Solve 2*b + c*b + 4 = s for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85390 is divided by 1447?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3\/8 (b) 1\/8 (c) -11 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 212623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 27 - 1\/24*i**6 - 23\/8*i**4 + 5*i**3 - 25\/8*i**2 + 3\/5*i**5 + 0*i. Find k such that o(k) = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-40)*2*(-3)\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -10, -41, 6, 23.\nAnswer: -41, -10, -4, 6, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -4, 2, -1, 40 in increasing order.\nAnswer: -4, -1, 2, 17, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -1966*k - 9. Let g(v) = -13*v**2. Give h(g(s)).\nAnswer: 25558*s**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 236659529599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-1128)\/(-90) + (51\/(-85) - 4\/(-10))?\nAnswer: 52\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 a when four letters picked without replacement from bbayabaybyyby.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 5*f - 9. Suppose 4*t + 15 = 5*t. Let m be t + 9\/(-12)*-4. Let k(a) = -a + 2. Calculate m*k(p) + 4*d(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 4. Let t(c) be the first derivative of -c**3\/3 + 7*c + 308. What is 7*r(d) + 4*t(d)?\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**3 - 41*l**2 + 190*l + 23. What is v(13)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/55 and -18\/655?\nAnswer: 7205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - -6. Let i(l) = -l**3 + 19*l**2 + 38. Let a be i(19). Suppose -103 + a = -13*u. Calculate the least common multiple of p and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 + 0*j**2 - 3*j**2)*(-74 + 238 + 72) - 2*j**2 + 2*j**2 + j**2.\nAnswer: -471*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4388438.\nAnswer: 2, 397, 5527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -101010001111001010 (base 2) in base 16?\nAnswer: -2a3ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 659890 rounded to the nearest 1000?\nAnswer: 660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 309920?\nAnswer: -619840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/21105 and -143\/11256.\nAnswer: 168840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32500 or 32486?\nAnswer: 32486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -3*q - 11 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304*m + 1605 - 6165 = 0 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*1\/5*(9\/(-57))\/((-21627)\/502227)?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*q**2 + 106*q**3 - 24*q**2 + 44*q**3 in the form n*q**2 + t*q**3 + h + m*q and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -u**3\/6 + 2*u. Let a(f) = -2*f**2. Calculate w(a(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 8*j + 1. Let v be (-1)\/(-3)*0 + 1. What is t(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 17*q + 12. Is 18 a factor of p(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 10 = 8*p - 3*p, -2*p - 5*h = 16 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 10:14 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 18 = 0, 55348*h - 55343*h - 42 = 4*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -12831*n**3 + 201644*n**2 + 58436*n - 64 = 0.\nAnswer: -2\/7, 2\/1833, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 4*v + 4, -2*p + 38 = p - 2*v. Let l be (-15)\/(-4)*p\/25. Let s = 0.3 + -0.8. Put -3, l, s in descending order.\nAnswer: l, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 3*x**7\/112 - 13*x**6\/10 + 669*x**5\/32 - 1879*x**4\/16 + 1185*x**3\/4 - 675*x**2\/2 - 2*x - 3. Find p, given that n(p) = 0.\nAnswer: 2\/3, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -35111 and -85.6.\nAnswer: 3005501.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 211 - 206 - 13*y - 24*y - 9*y. Give v(3).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -34?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, y: 1, t: 1}. Give prob of picking 2 z and 1 y.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, e: 3, u: 1}. Give prob of sequence eede.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -35508419?\nAnswer: 35508419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 8250.3?\nAnswer: 1650.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 10*b**2 - 72. Let p(d) = -d. What is v(p(x))?\nAnswer: 10*x**2 - 72","meta":{"dup_signals":{},"source":"polynomials__compose_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: Calculate the highest common factor of 7987920 and 89022.\nAnswer: 2406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 12920652 = -3*t. Let w = t - -21693116. Round w to the nearest one million.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(-5 - 125*k + 125*k - 12*k**2).\nAnswer: 24*k**2 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 - -1*1*(5 + 1). Suppose -43 = -5*z - 4*v, -m*z + 2*v = -v - 31. Solve i - z = -8 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.05075035520043187 - 1974969143.34925502479956813. Let r = 1974969184 + b. Let i = -38.6 + r. What is i rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*d + 10 = -9, -2*i = -2*d - 14. Suppose 9*f - 35*f + 208 = 0. Calculate the smallest common multiple of f and i.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 655468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 258, -3, 2, 3, -4 in decreasing order.\nAnswer: 258, 3, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69550\/7 - -69574\/7. Factor 2\/7*t**2 + 22\/7 - o*t.\nAnswer: 2*(t - 11)*(t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-238)\/315)\/(96\/550 - 0). Let c = s + -8\/27. Calculate the common denominator of 61\/4 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -867 or -863?\nAnswer: -867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*(-2)\/4*-1. Suppose 0 = x*v - 4*v + 122. Suppose 0 = 5*t - 5*d - v + 6, 35 = 3*t - 2*d. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18\/8 + (-3)\/12. Suppose -5*q + 6 = 2*g, 5*g + q = -d*q + 15. Suppose 5*a + 3*r + 6 = 0, -3*a + g*r + 2 = -4. Solve 4*c + 16 = -a*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 61. Let d be l(0). Let p = d + 64. Solve p*q - 4*q = 3*k - 14, -5*k + 30 = 3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*x**2 + 0*x**2 + 8*x**2)*(2*x + 0 + 0)*(-x**2 + x**2 + 2*x**2).\nAnswer: 4*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6423 and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vqvvq.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - p + 7 = 0, -f - 6*p + p - 22 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 - -798\/25. Is f at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*1562649.\nAnswer: -468794.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252*t - 251*t = -p - 4, -5*p = -2*t - 15 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 55 = -2*u, 2*u + 2*c = -0*c + 90. What is the lowest common multiple of u and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/24*(-5840)\/63875?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**2 - 544*w + w**2 + 176*w + 186*w - 42 + 181*w in the form x + s*w + y*w**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -878369510 by -815.\nAnswer: 1077754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 116*q**4 + q**3 - 428*q?\nAnswer: 1392*q**2 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q - 3. Let h be (-2)\/3*6\/(-4). Suppose h = -3*i + w + 5, -2*w = 3*i - 10. Let z = i + 2. Give l(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fp when two letters picked without replacement from fffp?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 2)\/((-12)\/42). Suppose -a*k + 430 = -1530. List the prime factors of k.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/2812 and 48\/475?\nAnswer: 70300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 974007 to the nearest integer?\nAnswer: 987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + -1. Let h be (-3)\/(-12)*-2*-2. Let j = h - w. Calculate the least common multiple of j and 18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 5. What is the units digit of m + 8*(-1)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-9)*-2*(-45)\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 1235.955 (c) -1\/4 (d) -13 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*o - 42*o, 5*o + 1 + 5 = 2*a. Determine t so that 0*t + 6\/13*t**a + 0 + 6\/13*t**4 + 2\/13*t**5 + 2\/13*t**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 138 (base 10) to base 9.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 202 = 2*j, 0 = -5*f + 3*f. Suppose 2*o = 8*c - 12*c + 414, 81 = c - 4*o. Is c at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -4\/3, -0.08, 1\/13080, 1\/20?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 10*i + 36 = 0. Calculate the remainder when 71 is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 10*u**2 - 1. Let v = 11 - 1. Let p be l(v). Let n be 2 + (1 - 58\/16). Which is smaller: n or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20\/167 - 102451\/668. Let m = s - -154. What is the third biggest value in 8, m, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1830 + -1830. Which is the nearest to 0.1? (a) -117 (b) 0.4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/2557 + 115087\/28127. Let q = -574\/143 + h. Which is smaller: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1362018.\nAnswer: 2, 3, 7, 32429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6318 and 415857.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2 + l**3 + 4*l**2 + 2*l + 0 + 2. Let k be d(-3). Is 1626\/21 - 3\/k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, u: 2, z: 1, p: 1, s: 2, a: 2}. What is prob of sequence aep?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 115, -4, -4427 in descending order.\nAnswer: 115, -4, -4427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 220 + -323. Let m = -2272304.7800079 - -2272407.78. Let a = f + m. Round a to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 132 and 3564.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -17. Suppose 0 = i*g - 0*g - 25. Suppose q = c - q - 9, g*c = -5*q + 75. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6411.62137 rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, y: 2, b: 2}. Give prob of picking 1 b and 3 s.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ccd8a9 (base 15) to base 10\nAnswer: 9765834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 5678*z**3 + 4780*z**2 + 119. Let r(q) = 1893*q**3 + 1594*q**2 + 42. Let h(i) = -6*d(i) + 17*r(i). What is the third derivative of h(l) wrt l?\nAnswer: -11322","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-11)*3422\/(-1508)*-143.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d - 11. Let a be v(16). Let t be (1 + a)\/(-2) - 0. Let u be (-9)\/((-15)\/10 + t\/(-6)). Solve 5*g + u = 3*m, -5*m - 4*g = -3*g + 13 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g + 1. Let h be i(-1). Let a be 0*(h - 1)\/(-2). Solve a = -3*z - 2*s, 4*z - 2*s + 17 = s for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-8)\/14 - (-132)\/308?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 431675 and 2.\nAnswer: 863350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -220022?\nAnswer: -220102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*c - 8 = 87*c. Sort -2, -4, -0.2, c in descending order.\nAnswer: -0.2, -2, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 - 429\/(-55))*10\/6. Solve 0 = b - 3 - 0, -t*a + 2*b - 6 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -334 (b) -1 (c) 2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 7*c**2 + 8*c + 2. Let j be u(-8). Suppose -g = 4*v - 87, -v = -3*v - j*g + 36. Suppose 264 = -20*o + v*o. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*y + 0*y + 30336 = 0. List the prime factors of y.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -324 * 210.39\nAnswer: -68166.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 2, -2, -5 in decreasing order.\nAnswer: 8, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 132*b - 33. Let j(t) = -112*t + 32. Let x(i) = 6*j(i) + 5*z(i). What is x(0)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.1 + 0.1. Let p be ((-1)\/234)\/((-6)\/12). Let c = p + 25\/117. What is the second biggest value in d, c, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.7316548 kilometers?\nAnswer: 731654800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 2 (b) -0.13 (c) -0.33 (d) 0.3 (e) 15 (f) -0.5 (g) -0.01\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*p + 759 = -38*p + 259 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1974\/4*((115 - 8) + (-5 - 6)) a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.4 + 4. Let b = -16697 - -16697. Put b, -3, t in descending order.\nAnswer: b, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 416193451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 5*u + 3*u)*(-u**4 + u - u + (-u**2 + 0*u**2 + 0*u**2)*(26 - 3*u**2 - 26)).\nAnswer: 2*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18.89 - 19. Let x = -0.09 + t. Which is the nearest to -1? (a) -2\/7 (b) 1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -0.64795, 9, 13?\nAnswer: -0.64795","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/10 - 874*s**2\/5 + 54824*s - 3974880.\nAnswer: -(s - 140)**2*(s + 2028)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9541*b**6 - 13*b**2 + 1506*b?\nAnswer: 1144920*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 b when two letters picked without replacement from {u: 2, b: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000134779 rounded to seven dps?\nAnswer: -0.0000135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -11*r - 3. Let k = 201 - 162. Let m(z) = 15*z + 10*z + 16*z - k*z. Determine m(u(h)).\nAnswer: -22*h - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 9*d**2 - 10*d - 14. Let r(b) = -4*b + 8. Let w be r(4). Let i be v(w). Let m be 16291\/(-22) - i\/(-4). Round m to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (15 + -16)\/(3 + (-10)\/3). Solve l = -f*l + 20, -5*l + 22 = 3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 - 34. Let s(i) = -i + 12. Calculate the smallest common multiple of s(8) and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(102)*1*-4 + sqrt(102))\/sqrt(6) + (sqrt(153) - (0 + sqrt(153) + sqrt(153) + -1)) + 4 + sqrt(153) + 1)**2.\nAnswer: -216*sqrt(17) + 5544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 172808208829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 190751 equal to 190748?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 85 + -31. Calculate the remainder when u is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-196)\/6*(-52)\/91*(-12)\/42.\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 36*g + 1587. Let z be q(-44). Let u = -3.3 - -3. Let k = 1.3 + u. Which is the nearest to k? (a) -2 (b) z (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3031 + 7246. What are the prime factors of x?\nAnswer: 3, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7, -5, 5 in decreasing order.\nAnswer: 5, -1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 2093362?\nAnswer: -5\/2093362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 50 + 3\/2*c**2 - 8\/3*c**3 + 2*c. Calculate s(-2).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -31*a**3 + 34*a**2 + 50*a + 293. List the prime factors of v(-11).\nAnswer: 2, 17, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -127 + 192. Calculate the remainder when 584 is divided by t.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (5 - 5) + -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - (8 + 19 + -16)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17100414666.2290005813 - -17100414665. Let b = x - -1.229. What is b rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -y**2\/2 + 37*y + 30. What is the remainder when 117 is divided by c(7)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/9*45\/(-12)*(-130)\/(-25)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000033499928 to 6 dps.\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 20*v + 55. Let i be u(-17). Let n be (0 + 3 - -1) + i - 3. Suppose -4*b = j - 5 + 2, -j = 5*b - n. Solve -p + 4 = b for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 2*n**2 - 7*n - 1. Let w be b(4). Solve -1 = -4*f + 5*t, -w*f + t - 2 = -0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 5*y. Let q be j(2). Let a be -10*q\/(-4)*1. Let z = 77\/3 - a. Put 5, 3\/2, z in ascending order.\nAnswer: z, 3\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.5? (a) -6\/43 (b) 1\/2 (c) -36\/55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o. Let d(a) = 11*a + 8260*a**2 + 7008*a**2 - 11*a - 1804*a**2. What is d(p(f))?\nAnswer: 53856*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6238, -6230, -6222, -6214, -6206?\n\"Answer: 8*r - 6246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 11 = -5. Let a be (-7)\/(-21)*6 + (-1)\/(-1). Let j(u) = u**3 - 6*u**2 + 5*u - 5. Let q be j(6). Solve -a*l = h*l - q for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + n**2 - n + 2. Let m be k(-2). Suppose 4*o - 4 = -8. Which is the nearest to m? (a) 0 (b) o (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.1, 3.3, -2, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3489.0228 to the nearest 100.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**2. Let z = 46 + -39. Let k(v) = -v - 33*v + z*v. Determine w(k(g)).\nAnswer: -1458*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**2 + 1. Let h be r(1). Let o be (-1)\/(h\/(-3) - 144\/(-146)). Suppose 5*v - o - 60 = -4*g, 0 = 2*v - 3*g - 44. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 373*c = -373, -16*z + 101 = -30*z + 17*z - 2*c for z.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 1\/3*z**3 - 7\/10*z**2 + 3\/5*z + 33 - 1\/20*z**4. Factor u(r).\nAnswer: -(r - 3)*(r - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (11 + -5 - (31 - 21)) + 12.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2 = n, 2*n + 4*c = -5 + 13. Let k be -1 + (-2 + n)\/2. Let q be 0 + k*7\/(-2). Solve 3*w = 4*s - q, 2*s - 4*w - 14 = -s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27\/2 equal to 7.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 = -6*a + 218. Solve 5*r = 2*k - 23, a*r = -3*k + 4*k - 13 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*h + 8002603 - 272670 + 6087353 = 0. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -58 + 0 + 1 - -1. Let d = 29 + l. Let m be 6\/d - (-2)\/9. Does m = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 10 + (-6 - (1 - 2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 7*m - 5 = 3*m, 0 = 3*m - 8*m - 20 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1944736 and 23776?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-1))\/((-864)\/(-1080))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-5))\/((-6)\/15). Suppose -10 = -3*q + p. Suppose -8 = -5*j + q*n, j + 4*n - 5 + 13 = 0. Solve -2*z + j = -2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11070012 and 3504?\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.2 + -2. Let d = g + -0.3. Let n = -11 + 8. Which is smaller: n or d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 348596881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15604*g**2*r**3 + 5*g**2*r**2 - g**2 + 7*g*r**2 + 4*g*r wrt r?\nAnswer: -93624*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**4 - 22 + 8*x + 21 - 2*x**4 + 2*x**4 in the form o*x + y + p*x**2 + j*x**3 + a*x**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12404525*l**4 + 16*l - 195371 wrt l?\nAnswer: -148854300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2728812*g**3 - 9*g**2 - 23125*g + 1?\nAnswer: 16372872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 76912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of b**5\/14 - b**4\/6 + 2*b**3\/21 - 2*b. Find d such that n(d) = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361137 is divided by 2176.\nAnswer: 2097","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -1220*n**2 - 10*n. Let p(o) = 3*o. What is b(a) + 3*p(a)?\nAnswer: -1220*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 59956095 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -7*v. Let f(z) = 1. Let k(i) = -5*i + 15. Let m(r) = 15*f(r) - k(r). Give m(q(h)).\nAnswer: -35*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 17092.2 to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/7*175\/50. What is the second derivative of -3*j**2 + 4*j**3 - 21 + 4*j**2 + 2146*j - 2144*j - g wrt j?\nAnswer: 24*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001469616 to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 15) to base 3.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3239376 divided by -539896.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1 + sqrt(192) + 0)**2 + 2.\nAnswer: -96*sqrt(3) + 230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**3 - 2*c**2 + 2*c - 1. Let y be k(1). Let z = y - 3. Let g(o) be the second derivative of o**3\/6 - o**2 + 2*o. Give g(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2040*z. Let h(x) = -3*x**2. Calculate h(i(n)).\nAnswer: -12484800*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -136283.9 to the nearest 1000.\nAnswer: -136000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*((g\/g**(3\/2)*g)\/g)\/g*g*g*g*g)\/g**(2\/11)*(g\/g**(-18))**(-7\/4) assuming g is positive.\nAnswer: g**(-1317\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 16. Let j(s) = -s**2 - 2*s + 24. Let r be j(-6). Which is the closest to d? (a) r (b) -5\/2 (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -114*u - 84. Give x(-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 10*x**2 + 31*x + 86. Let u be o(-12). Let r = -2 + 5. Solve 2*m - u = -3*b, -m = 2*m + 3*b + r for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66958946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5*j**3 - 6*j + 10. Let s(c) = -11*c**3 - 13*c + 21. Let m(g) = -13*r(g) + 6*s(g). What is the first derivative of m(q) wrt q?\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -3*n**2\/4 - 300557655*n - 30111634659699675 = 0.\nAnswer: -200371770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 35168880 + -6?\nAnswer: 35168874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -46*f**2. Let c(x) = -3*x. Let k(t) = t. Let y(u) = 6*c(u) + 17*k(u). Determine y(w(h)).\nAnswer: 46*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -128, 0.1, -2\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 48*k**3 + 7*k**2 + 43. Suppose 48 = 4*i + 76. Let w(p) = -16*p**3 - 2*p**2 - 14. Let r(v) = i*w(v) - 2*c(v). What is the derivative of r(g) wrt g?\nAnswer: 48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 509*f**2 + 95685*f - 1326. Give d(-188).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 35658844 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*c**4 + 2*c**2*g**3 - 188*c*g**3 + 283*g**3 - 11 wrt c.\nAnswer: -16*c**3 + 4*c*g**3 - 188*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 8 = 4*r, -r - 2 - 7 = -3*f. Calculate the greatest common factor of f and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*h + 4 - 100*h - 105*h + 309*h.\nAnswer: -4*h + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.20000766 - -7.2. What is n rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n + 178 - 175 + 4*n + n**2. Let p = 8 + -17. Calculate the remainder when b(p) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {l: 5, u: 2, z: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c - 3. Let i be x(-5). Suppose -i*d + 5*d = -111. Let j = 58 + d. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1377329630 to the power of 1\/4, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -7. What is the lowest common multiple of a and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39483 and 42?\nAnswer: 552762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -196, -393, -590, -787, -984?\nAnswer: -1181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -82*g. Let p(l) = -l. Determine p(x(i)).\nAnswer: 82*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.09570727 rounded to 2 decimal places?\nAnswer: 6.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 534959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5179476?\nAnswer: 2, 3, 19, 22717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 59*w**3 - 7*w**4 - 59*w**3 + 3 - 3 - 2*w**4 + (-2*w + 2*w - w**3)*(w - 2*w - w) - w**4 + 0*w**4 + 3*w**4.\nAnswer: -5*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2747, 2875, 3247, 3983, 5203, 7027, 9575?\nAnswer: 12967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1549313 + -15.\nAnswer: 1549298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(54*x**2 - 7 - 1 + 7).\nAnswer: -54*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u - 4. Let h(o) = 1. Let z = -1443 + 1430. Let b(a) be the third derivative of -a**4\/8 - 20*a**3\/3 - a**2. Let r be b(z). Give r*h(m) - j(m).\nAnswer: m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bk when two letters picked without replacement from {z: 1, s: 3, k: 7, c: 2, b: 2, r: 3}?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32 in -0.1005, -0.4, -4, 1.54?\nAnswer: 1.54","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 253 - -164?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3573609 and 429.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (6*sqrt(32) + 1 - (sqrt(14)\/(sqrt(14)\/sqrt(2)) - 2*(sqrt(2) + -2))))**2 + 3.\nAnswer: 1253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236*j - 1540145 = 214670 + 1162381. Is j a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10694 by 5347.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48960*z**2 + z - 24626*z**2 - z.\nAnswer: 24334*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 418 (c) -3 (d) -2\/2547\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 335574, 335226, 334280, 332436, 329394, 324854, 318516?\n\"Answer: -50*v**3 + v**2 - v + 335624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xtrxxtxr?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 18*a - 21. Let q(j) = -15*j - 4. Let g(l) = 19*l + 5. Let s(h) = -8*g(h) - 10*q(h). Determine y(s(o)).\nAnswer: -36*o - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 2716.1 to the nearest ten.\nAnswer: 2720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -22 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 115*l + 58 = 111*l + 6, w = -l + 52*l + 608 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 8*i**2 - 5*i - 5. Let o(n) = -n**2 + n. Let u(b) = -2*o(b) + p(b). Let d be u(-2). Is -8 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 5*m - 2. Suppose 2*g - 1 = -z + 2, 9 = 3*z - 2*g. Calculate r(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-13))\/(b*b**(1\/11)))\/((b\/(b\/(b*b**(-6)*b)*b))\/(b\/(b*b**10))) assuming b is positive.\nAnswer: b**(-199\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - 4)*3\/3. Suppose 7*x - 140 = -s*x. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 p when two letters picked without replacement from {q: 8, g: 2, p: 8}.\nAnswer: 64\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1.3, -4, -1, 1, 0 in ascending order.\nAnswer: -5, -4, -1.3, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**3*q**3 - 1212*g**3*q**2 + g*q**3 - 134*g - 2*q**3 wrt g?\nAnswer: 12*g*q**3 - 7272*g*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.62 - -0.38. Which is the nearest to -1? (a) 4 (b) -4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -89.1768 * 0.023.\nAnswer: -2.0510664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 3*t - 0*t. Let z(i) = i**3 - 10*i**2 + 11*i. Let v be z(t). Let l(h) = 2*h**2 - h + 17. Is l(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 1 + 7)*(-2*i + 0*i + 0*i) - 14 + 14 + 17*i)*(-i**3 + 2*i**3 - 2*i**3) to the form f + j*i**4 + t*i**2 + n*i**3 + o*i and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one ninth of a week?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 44615.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 165*m - 165*m - 84*m**4 + m**4 - 2*m**4 + 2*m**4 + (m - 3*m + 4*m)*(-5*m**3 + 3*m**3 + m**3).\nAnswer: -85*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lxl when three letters picked without replacement from xnxall?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19 and 99195?\nAnswer: 1884705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 4*t + 250 - 222, -2*s - 21 = -5*t. Let v(i) = i**3 + 26*i**2 - 60*i - 108. Give v(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**3 + s**2 - 10*s + 7. Let m be n(3). Suppose -30 = 2*x - m. Solve -3*w - 2*p - 25 = 0, 2*p + 2*p - x = 5*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 115 + 30. Which is greater: -18 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (v + v + 2*v)*(13 - 13 + 5*v)*(4*v**2 + 3*v**2 - 6*v**2) in the form s*v**2 + w + i*v + a*v**4 + t*v**3 and give a.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13454.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*p = -8*p + 86 - 345 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5160289 litres?\nAnswer: 516.0289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 0, -3*p - u + 4*u + 63 = 0. Let x(o) = o**2 + 12*o. Let s be x(-4). Let w be 2\/(s\/6 + 6). What is the highest common factor of w and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 125, 200, 277, 356, 437?\n\"Answer: z**2 + 72*z + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 12*q**2 - 11*q + 6. Let d be l(-11). Suppose 2*v + 6 = 0, -3*v = -3*b + 27 - d. List the prime factors of b\/(-6) - (664\/(-6))\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1246318 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 978295 - -4?\nAnswer: 978299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-1)\/188)*(-255)\/198900*195.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.14 (b) -4 (c) -3\/7 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2580165*y**3 + 9146*y - 7.\nAnswer: 15480990*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1104726*h**3*r*z**2 + 11*h**3*z + 15*h**3 - h**2*r*z + 127*h**2*r + 2*h*r*z**2 + 2*h*z wrt z?\nAnswer: 2209452*h**3*r + 4*h*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 635 + 255 = -3*y, -5*y + 685 = -2*p. Let h = 59 - 50. Calculate the greatest common factor of y and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 395663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2329 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1741 + -6?\nAnswer: -1747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -321, -2897, -10201, -24699, -48857, -85141, -136017?\nAnswer: -203951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2505914184.44 minus 0.2?\nAnswer: -2505914184.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85, -319, -711, -1267, -1993?\nAnswer: -2895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*b - 3 = 0, -2*b = 5*l - 4*b + 12. Let q be (4\/(-3))\/(l\/(-6)). List the prime factors of (-17)\/q + (-2)\/8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 79, 4\/5, -17, 7, -4 in increasing order.\nAnswer: -17, -4, 4\/5, 7, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -p**3\/3 + p**2\/2 + p - 8. Let x(t) = -t**3 + 6*t**2 - 5*t - 3. Let i(v) = -6*n(v) - 2*x(v). Factor i(b).\nAnswer: 2*b*(b - 2)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 188, -8, 1, 2, -1, -2, 50 in increasing order.\nAnswer: -8, -2, -1, 1, 2, 50, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 11*q - 24. Calculate n(-5).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -291*p - 64886. Determine o(-223).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 1001?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 110074 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1163*4\/((-12)\/(-81)). Let y = c - -195502625\/6226. Let k = 40451\/112068 - y. What is the common denominator of -105\/44 and k?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 334.8501l in millilitres?\nAnswer: 334850.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5854160 smaller than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3738 and 0.11.\nAnswer: 411.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/90 + 5716\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and 228.\nAnswer: 228.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1123 (base 4) to base 7\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 24. Suppose -25*j + 3*j = 66. Let t be (-9)\/(-7) + j + (-12)\/42. Which is the third biggest value? (a) m (b) t (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 4, 1.7, -0.4, 0.2, -4, 6\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 31.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 183852476 + 2?\nAnswer: 183852478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 11.4. What is the nearest to -0.1 in -2\/11, f, 1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 4, -0.3, 0.1, 2\/13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*b**2 - 29*b**2 + 531 - b + 38*b**2 as v + w*b + o*b**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 5*s**4\/24 + 3*s**2. Suppose -3*p = -4*p - 3*o + 27, 2*p - 3*o = 45. Let x(k) = -2*k - k + p - 24. Calculate h(x(g)).\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 11111, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of a**4\/12 + 3*a**3\/2 + 3*a**2. Let h(m) = 3 + 4 + m - 1. Let v(x) = 8*h(x) - 5*j(x). Calculate v(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 106?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -11*y + 17. Let q(g) = 2*g - 3. Let n(k) = -6*h(k) - 34*q(k). Let u(a) = 91 - 91 - 12*a**2. Give u(n(r)).\nAnswer: -48*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-12)\/10)\/(-3))\/(25\/125).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 142673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7731 divided by -1?\nAnswer: -7731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.9 (b) -1 (c) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -6*s - 124. Give z(-21).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872)*-2 + 2 - ((2*sqrt(1872) - sqrt(1872) - sqrt(1872)) + -5 + sqrt(1872) + sqrt(1872))**2) + 2.\nAnswer: -7509 + 216*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45 + 181\/4. Is 0.8 at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-22)\/(-77))\/((-58)\/(-28) - 2). Solve -5*o - 12 = 4*x - 21, 3*o = -x + t for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + 0. Suppose -3*h - 6 = 0, -5*j - 3*h + 0*h = 216. Let n = -20 - j. What is the least common multiple of f and n?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 3*t**2 - 15*t - 2. Let l(y) = -2*y + 11. Let k be l(8). What is the remainder when r(k) is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5909 (b) -2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y + 3*y = 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/1260 and -58\/2205.\nAnswer: 8820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 49898972977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 69*s**2 - 783*s - 1561. Give a(-2).\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17599382 is divided by 17599353?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/725 in 4, -31, 166, -2\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 + -18. Let k = w - 7. Let r = k - 10. Put r, 4, 0 in ascending order.\nAnswer: r, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8834388*h*t**2 + 547*h*t + 3*h - 176*t wrt t?\nAnswer: 17668776*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 883488227 to the nearest integer?\nAnswer: 29724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q + 2. Let p be o(-7). Let n be 4\/6 + (-24)\/p. Does 5 divide (n + 0)*40\/(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4883429953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2500 or -9999\/4?\nAnswer: -9999\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -57?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**3 + 157665*l - 157665*l.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -32? (a) 2262 (b) 6.1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 0.00968.\nAnswer: 0.000968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 + 3*j**2 - 5*j**2)*(-j + 2*j - 3*j)*(2 - 1 + 0)*(-118 - 47 + 57)*(40*j + 265 - 265).\nAnswer: -17280*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1407*s**5 + 6*s**4 - 2*s**3 + s**2 - 40*s - 229?\nAnswer: -84420*s**2 + 144*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1002120212101110 (base 3) to base 2.\nAnswer: -111011111110111000110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*l + 5*a, 0*l + 3*a = 3*l - 9. Suppose 3*p - 3*s - 15 - 18 = 0, 2*p - s - 17 = 0. Sort l, p, 5.\nAnswer: l, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 688449054*r**3 + 688449058*r**3 - 1376898109*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 12 = -4*v. Let w be v\/14 - 74\/(-112). What is the third smallest value in w, 0.5, -1\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from qqwiqwwqqwiqw?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-77) + 348\/(-22) + 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 5. Suppose 0*z - 4*z = -3*v + w, -5*v + 23 = -z. What is the second derivative of v*y**3 + 5*y + 3*y**3 + 7*y - 5*y wrt y?\nAnswer: 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -1075*d**2 - 10*d + 72. Let q(c) = -1076*c**2 - 12*c + 71. Let a(p) = -5*q(p) + 6*y(p). Differentiate a(g) wrt g.\nAnswer: -2140*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-27)\/15)\/((-4)\/20). Calculate the highest common factor of i and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2395 is divided by 809.\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.8 and 0.08.\nAnswer: -0.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 4293000 to the nearest one hundred thousand.\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - o**2 - 51*o + 66. What is the least common multiple of 320 and b(-6)?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -1042*d**2 - d. Let w(h) = -389*h + 4. Determine w(j(b)).\nAnswer: 405338*b**2 + 389*b + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -70308*o + 3 + 2*o**3 - 2 + 70310*o - o**2 in the form q*o**2 + l*o + a + v*o**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 7. Suppose -4*y + m + 103 = 0, 83 = 3*y - 0*y + f*m. Suppose -2*r - 4*w + y = 0, 4*r + 6*w = 2*w + 48. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 - 27*n + 4 + 325*n - 11.\nAnswer: 298*n - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -25740 != -25740?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7022 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 6414413*s**2. Let x(c) = -c**2. Give n(x(u)).\nAnswer: 6414413*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/4384 + -59179\/21920. Calculate the common denominator of -119\/220 and r.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18763637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 194568.\nAnswer: 972840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 447*d + 1332. Let v be q(-3). Let n(f) = -f**3 - 9*f**2 - 2*f + 18. Give n(v).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/2 + (-4 - 8\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33614 and 97197282.\nAnswer: 4802","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 326 + -165. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13751*w**5 - 15975*w**2.\nAnswer: 825060*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 1060?\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 78649446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41970327\/5788 + 23\/1447. Let y = b - -108799\/15. What is the common denominator of y and 13\/18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 547*b - 33021. Determine c(60).\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 606 and 12827?\nAnswer: 76962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-2) + (28 - 9). Let u be (3\/(-10))\/(18\/d). Which is the nearest to u? (a) 5 (b) 3\/4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l - 5*m = 9*l + 11, 3*l - 7 = -2*m for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 1, -2, 0, -5, 135, 4 in increasing order.\nAnswer: -34, -5, -2, 0, 1, 4, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 140468454?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -284213 by -23.\nAnswer: 284213\/23","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -556 = -9*a + 5*a. Suppose -3*f - 655 = -5*r - 8*f, -a = -r + 3*f. What is the highest common divisor of r and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i**3 - 301*i**2 + 508*i + 5. Calculate the remainder when c(-102) is divided by 124.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/8*2*(2 - 0). Let b be (s\/(-11))\/(1\/11). Solve 4*k - 12 = -m - 3*m, k - b*m = -9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 5906348.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26710112 and 260?\nAnswer: 133550560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, m: 2, i: 1, h: 5, r: 1, f: 1}. What is prob of picking 1 i and 2 m?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of m**6\/30 + m**5\/5 + m**4\/6 - 2*m**3\/3 - 3*m**2\/2 - 10*m. Determine q, given that v(q) = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 3*k + 2*k)*(0 + 2 - 1) + 4916 - 1637 - 1633 - 1641 + 46*k.\nAnswer: 47*k + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 - -36. Solve -3*n = -l + 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4865898 and 2504?\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1882.5281 rounded to the nearest integer?\nAnswer: 1883","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -29662 less than -737?\nAnswer: 28925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13319336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express r**2 - 3*r**3 + 5*r**3 - 5*r**3 + 1 - 2*r**3 in the form f*r**2 + p + a*r + d*r**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 204*a = -202*a - 32, 2*p + 3*a - 4 = 0. Let l(i) = -8*i - 3*i**3 + 3*i**3 + 9*i**2 - i**3 - 10. Give l(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*(-26 + 1560\/72)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 2*z)*((2 - 4 + 3)*(6 - 2 - 2) - 21898 - 20516 + 54861) to g*z + r and give g.\nAnswer: 24898","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-5))\/(3\/30*8). Let v be (-12)\/14*14\/(-4). Let i be (v\/30)\/((-2)\/5). What is the second biggest value in i, -4, b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 2\/3715975?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-231)\/77)\/(1\/(-2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v - 16. Let r(j) = 2268*j**2 - 9*j - 10. Let l be r(-1). Let g(i) = -l - 2*i**2 + 2267. Calculate g(b(q)).\nAnswer: -18*q**2 + 192*q - 512","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 282*z - 283*z = -9. What is the highest common divisor of z and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - ((-6)\/2 + 3). Suppose 22 = 4*i + 2*n, m*i - n - 1 = 2*i. Let d(a) = -a - 1. Let h be d(-5). Solve 0 = i*c + 16 + h for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h + 5*h + 2*h)*(3*h + 3*h - 4*h) + 468*h**2 + 4*h - 3*h - 2 - 422*h**2 to s*h**2 + r*h + g and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) + -1)*6 - (-5 + 3*sqrt(11)*4)**2) + -2.\nAnswer: -1617 + 162*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -11. Suppose 5*v - 13 = d. Let y(s) = -s**3 + s**2 - s + 1. Let t(l) = l**3 + l**2 - 2*l + 2. Let g(p) = t(p) + 2*y(p). Determine g(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 695, 232?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 - -15)\/((-8)\/1202). Let d = r - -1546. Calculate the common denominator of d and 131\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142640 (base 9) to base 10.\nAnswer: 87273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - -3. Suppose 2*v - g = 5*b - 0, -3*b = -2*v + 13. Suppose -4*i = l - 4*l - 14, 3*i + v*l = 2. Solve 23 = -4*j - 0*a + 5*a, 5*j - i = -4*a for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (-2 - 3 - 175). Let v = m - 164. Solve -4*n - 5 = -v for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (3*-4)\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 94115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -14466, -28917, -43366, -57813, -72258?\n\"Answer: j**2 - 14454*j - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1 + sqrt(612))**2 + (sqrt(612)*-2*-2)**2.\nAnswer: 12*sqrt(17) + 10400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + 1.5. Let h = o + -3.4. Let x = 0.33 - 0.03. Sort -1\/11, h, x.\nAnswer: h, -1\/11, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*k + 34 - 34 - 6*k + 2*k + k + (k - 5*k + 2*k)*(-5 + 3 + 0) - 1 + 0 - k + 2 + (3*k - 2*k - 2*k)*(0 - 2 + 1) - 3*k + 2*k - k as f*k + g and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 3 = -i. Let s be (-3)\/6*2*-5. Let q = 27 - 23. Sort s, q, i in increasing order.\nAnswer: i, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 44\/5, 10, 4.\nAnswer: -7, 4, 44\/5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1aa6 - 0?\nAnswer: -1aa6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t + 305*t**2 + t - 308*t**2.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 1686*w**2. Let j(a) = -201*a. Calculate r(j(n)).\nAnswer: 68116086*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 20 = 5*f, -3799*f = -3*m - 3800*f for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.39 + -1.35. Suppose -16 = -x - 3*x. Let k be (-4)\/(-2) - 11\/x. What is the second biggest value in k, d, 2\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9e78 (base 15) in base 8?\nAnswer: -101546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u - 6. Let p(o) = -o**2 - 8*o - 12. Let w be p(-4). Give i(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.68 + -1.78. What is the nearest to 1\/70 in -1, a, -0.3, 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 362\/543*(2*1)\/(-4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*d**3 - 16*d**3 - 1 + 5*d**3 + 2*d + 12*d**2 in the form p + c*d**2 + y*d + j*d**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**2 - 11*p**2 + 2*p**2 in the form h + j*p + x*p**2 and give x.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 12) in base 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2 - 10*j - 1. Let y be r(-4). What is the highest common divisor of 35 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1343 + -62466?\nAnswer: -64031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.16? (a) 3 (b) 2\/77 (c) -0.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-288)\/30)\/8 - (-247091)\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9766435 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/3)\/((-1)\/3). Suppose -b - 3*f = 0, 2 = 2*f + 6. Differentiate -k*i**4 + 26*i**2 - 26*i**2 + b wrt i.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**(1\/2))\/z*z\/((z*(z*z\/(z*((z\/(z**15\/z))\/z*z)\/z))\/z)\/z)*z assuming z is positive.\nAnswer: z**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -19*j + 172. Suppose -z = 4*u + 3, 75*u - 30 = -3*z + 76*u. What is d(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 598812 + -3361. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 200 and 50?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 4 + 3)*(o - 2*o - o) + 0*o + o - 2*o)*(8*o - o + 4*o)*((2 + 5 - 5)*(-2 + 2 + 1) + 3 + 0 + 0) - 2 + 8*o**2 + 2 as s + i*o**2 + l*o and give i.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + j = 2*b - 19, 2*j = 5*b - 50. Calculate the smallest common multiple of b and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*u**3 - 24*u**3 - 30*u**3 - 17*u**3.\nAnswer: -92*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16030 + -2?\nAnswer: -16032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 441820 is divided by 10274.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 397633695?\nAnswer: 3, 5, 26508913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*6*15\/(-6840).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1196, -1161, -1128, -1097?\n\"Answer: -h**2 + 38*h - 1233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5290, 5278, 5250, 5200, 5122?\n\"Answer: -z**3 - 2*z**2 + z + 5292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3911 rounded to the nearest 100?\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43520*n**2 - 87032*n**2 + 43509*n**2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, h: 2}. Give prob of picking 1 h and 2 w.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18380.\nAnswer: 2, 5, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 1\/1484, 2, 0, 5\/18, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 v when three letters picked without replacement from {s: 3, b: 4, v: 1, y: 6}.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 2 z, and 1 b when four letters picked without replacement from kuzzbkkkknukuzz.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, h: 3, k: 2, d: 5, r: 3}. Give prob of picking 2 d and 1 h.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*a - 37*a + 2020491 + 2634977 = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -182*g - 6*g**4 + 5*g**4 - 5 + 184*g + 2*g**3 as f*g**3 + c + t*g + j*g**4 + l*g**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2358, 4\/33, -3\/5, -4, -1\/9 in increasing order.\nAnswer: -4, -3\/5, -1\/9, 4\/33, 4, 2358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64 + 1021554\/(-15675) - 18\/(-225).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 280\/8800*1\/((-4)\/(-30)) and -25\/88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3493 and -0.0182.\nAnswer: -0.00635726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - -1 - (42 + -2 + -29).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 19*m**2 - 52*m - 1147. Is 83 a factor of l(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1919030 is divided by 83.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 - 544. Let q = -342 - z. Does 2 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 293 - 254. What is the remainder when g is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ac4571 (base 13) to base 15.\nAnswer: -55485c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 - 25. Suppose -3*x + 3*w + 30 = 0, 4*x - y = x - w. Which is the smallest value? (a) -2 (b) -5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and -31*(-4)\/(-6)*760\/38*-3?\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 44*i**2 + 4*i + 142. What is d(44)?\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1232 = 5*m + g, -6*g + 2*g = 4*m + 976. Let v = -242 - m. Solve v*r - r + 4*h - 28 = 0, -16 = -4*r + 2*h for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r**3 - 2*r**2 - r - 3. Let w(j) = -13*j**3 + 7*j**2 + 2*j + 10. Determine 7*h(c) + 2*w(c).\nAnswer: 2*c**3 - 3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**3\/4 + 4927*z**2\/2 - 594901*z\/4 - 302377\/2 = 0.\nAnswer: -9914, -1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.26 + -1.26. Suppose 0 = -3*i + 3*k + 90, 4*k - 5 = -1. Suppose 2*f + 23 = x + 4*x, -4*f = -5*x + i. What is the nearest to q in x, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128327661.\nAnswer: 3, 7, 11, 185177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-2))\/2*5. Let a(p) = p**2 + 8*p + 10. Let q be a(-7). Suppose 2*j + 12 = -2*t, -q*j = -j + 4*t + 16. Put -3, n, j in descending order.\nAnswer: n, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15995 + 16027. What is the greatest common factor of z and 12304?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29350663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -428768, -857369, -1285984, -1714619, -2143280, -2571973?\nAnswer: -3000704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*h - 1. Let i(m) = 0 - 15 + m + 28 - 11. Give i(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = n - j - 41, -6*n + 276122 = j + 276168 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -12*b**2 - 51*b - 13. What is v(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 4*u - 1116 + 1127, -4*g + 8 = -2*u for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46765, 46785, 46841, 46951, 47133, 47405, 47785, 48291?\nAnswer: 48941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 6*v - v + k, -v - 3*k + 8 = 0. Suppose -4*n + v*n = 0. What is n rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36591 is divided by 195.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 7:54 PM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2664 and 220902876?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - c + 7. Let d be v(-2). Suppose 4*s + 0 = -12. Let a = d + s. Put a, 3, -0.4 in descending order.\nAnswer: 3, a, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2 = -0, 5*g = 5*h - 5025. Suppose -298 = 5*t + 4*i - h, 556 = 4*t - 2*i. What is the greatest common factor of 20 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 5:30 PM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -t + 19, -8*z - 40 = 5*t - 10*z. Let b(s) = -2*s - 21. Calculate b(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f**(2\/25)*f*f)*f**(-18) assuming f is positive.\nAnswer: f**(-477\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 5:04 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1288112703.2 - -1288112831.20000501. Let f = m - 128. Round f to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 242 = 818. Let g = a - 77. Suppose 24*y - 740 = g*y. List the prime factors of y.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**15\/h)\/h)\/h**(1\/22))**(-46))**(-7\/8) assuming h is positive.\nAnswer: h**(45885\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66*j - 4222 + 4222 - 5*j**2)*(12 - 12 - 6*j + 17*j).\nAnswer: -55*j**3 - 726*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/450)\/(-1*(5*7\/(-35))\/3)?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 2*a**2 - 2*a - 2. Let v be q(-2). Suppose 6 = -3*t - 2*w, -3*t - w - 5 = -v. Solve t = -3*j - 4*o + 4, -3*j - j = -2*o + 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 54938279*c**2 + 54225828?\nAnswer: 109876558*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {l: 3, b: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*w - 19968 = -589*w for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 3*c - 28. Determine h(0).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 19 = 35. Let j = a + 47. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000561711 to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 19*x + 92. Let h be b(-9). What is the greatest common divisor of 78 and h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247084788 is divided by 1587.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n + 8 - 36. Solve 3*a = -3*y + n*a, 0 = -3*y + 4*a + 9 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-7) - 32\/(-7). Let g(i) = 7*i - 9. Let y(x) = -11*x + 14. Let l(z) = 9*z**2 + z. Let s be l(-1). Calculate k*y(h) + s*g(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -5. Suppose 7 + h = 2*y. Suppose 0 = y*m - m - 15. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -8*r + 228. Let k(n) = -n**3 - 4*n**2 + 3*n - 2. What is the remainder when r is divided by k(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -50 - -4*(-30 - -29)*(-3 - -2)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 3*t + 5*t**2)*(t**3 + 10*t**2 - 10*t**2) - t**5 + 2*t**3 - 2*t**3.\nAnswer: 4*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 16 + 51. Let d = -4 + i. Suppose 2*c = 5*t + 8, -d*c + 13 = -5*t + 1. What is the greatest common factor of 4 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 (base 5) to base 16\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15354 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -27*s + 186. Let a be g(6). Find the second derivative of -a*u + 43760*u**4 - 6*u - 43765*u**4 - 4*u**3 - 2 wrt u.\nAnswer: -60*u**2 - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*3*sqrt(7)*5 - (sqrt(147)\/sqrt(3)*-1)\/sqrt(7))*6)**2.\nAnswer: 487872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 111 + 78. Calculate the remainder when g is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -80 + 80.9. Which is the nearest to -0.1? (a) 1 (b) v (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -23 and -6.382078.\nAnswer: -29.382078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 4*b**2 - 18*b + 31. Determine p(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + -5 - (25 - -23).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l + 1. Suppose 4*v - 1 = 11. Calculate d(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 18d?\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -313, -25.\nAnswer: -313, -25, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 633813888 to the power of 1\/4, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1630 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.00528 + -0.007. What is u rounded to 4 decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23976 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) - (sqrt(152) + sqrt(152)*1*-3))\/(-5*sqrt(200)).\nAnswer: -3*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 496 is divided by 174?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1 (b) -29 (c) -7\/4 (d) 81\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/5)*v**(-7)\/v)\/(v**(-2))**(-1\/47) assuming v is positive.\nAnswer: v**(-1796\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0*i = 2*k - 8, i = 5*k - 6. Let r(q) = -q**2 + 4*q. Let m be r(2). Let o = m - 3. Solve 0 = h - k + o for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5195956 divided by 1?\nAnswer: 5195956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away 73.082928?\nAnswer: -73.182928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + 0 - ((3 - 26) + 23 + -5).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1683\/196 + 8\/49. Let x = 253927\/1980 - -2\/495. Let p = 108 - x. Find the common denominator of p and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and 393?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of g**4\/12 + 10*g**3\/3 - 68*g**2. What is b(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-6*(sqrt(1377) - sqrt(1377)*1))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/48 and 75\/5025056.\nAnswer: 15075168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.15 to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(((-1)\/1)\/15). Let u = 8 + -5. Suppose u*j + 7 = 37. Calculate the greatest common divisor of s and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 7*u + 1. Let s(g) = -g**2 + 3*g - 2. Let k be s(4). Let i be (16\/k)\/(2\/99). Let a be 24\/i - 9\/11. Give v(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4499, -9001, -13505, -18011?\nAnswer: -22519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**5\/c*c*c*c)**(7\/3)\/(c**(-1\/50)\/(c\/(c*c\/c**12))) assuming c is positive.\nAnswer: c**(4453\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21*(8\/2 + 13*(-19)\/57).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i + 5. Let y(o) = -o**2 - 6*o - 5. Let q be y(-5). What is the lowest common multiple of w(q) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)\/(sqrt(10)*-1 + sqrt(10) + sqrt(10)))**2*-5 + ((sqrt(68) - sqrt(17))*3 - sqrt(17) - -4*(sqrt(68) + sqrt(17))).\nAnswer: -85 + 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 9. Let d = s - 3.6. Let m = -0.3 + d. Which is the nearest to 0? (a) -0.3 (b) m (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (21 + -9) - -3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o**2 + 0*o**2 - o**2 + (0*o + 4*o - 5*o)*(2*o - 2*o - 2*o))*(1 + 4 - 3)*(12*o - 7*o - 4*o - o**3).\nAnswer: -12*o**5 + 12*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1740270 + -2?\nAnswer: 1740269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 0 + sqrt(99) - sqrt(99))**2 + 3 - (3*2*sqrt(704)*-5)**2.\nAnswer: -633581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 340216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 - 6 = -2*u - 5*r, 3*r = -5*u + 130. Solve -3*g = u - 8 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 212992 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2 - 7*i + 1 - 2. Let o be f(-2). Suppose 6*u - 3 = 5*u. Solve 3*s + o = u for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 678738413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.0733870049 rounded to three dps?\nAnswer: 0.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 480217 is divided by 160066.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5270750562.\nAnswer: 2, 3, 7, 11, 229, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 375.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1185320.\nAnswer: 2, 5, 29633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -q**3\/3 + 11*q**2\/2 + 5*q + 106. Let x be i(11). Solve 0*f + 2*f - 2*n - 6 = 0, 0 = x*n + 10 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5752 is divided by 624?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of 7\/5*w**5 + 47*w + w**2 - 1 + 0*w**3 + 0*w**4. What is the derivative of v(p) wrt p?\nAnswer: 84*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/(c*c**15)))\/c*c)\/(c\/c**(-1\/2))*(c\/(c\/(c*c**(-40)*c)))\/((c**(7\/5)\/c)\/c))**22 assuming c is positive.\nAnswer: c**(-2519\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 144965 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/6 (b) -156194 (c) -0.12 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9992861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1557?\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -102 + (-30 - (23 - (49 - 0))).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uf when two letters picked without replacement from {f: 4, a: 6, v: 1, u: 4}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -48147741 divided by 201?\nAnswer: -239541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.3 + 11.3. Which is the second biggest value? (a) 2\/5 (b) n (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1266300 divided by -28?\nAnswer: 45225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 3*s = 2*l - 52, 0 = 2*l - s - 36. Suppose 0 = 2*c + 3*c - l. Find the first derivative of 4*t + c*t - 3 - 5*t - 1 wrt t.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 4:31 PM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*d**2 - 884*d**2 + 185*d**2 + 172*d**2 + 173*d**2 + 176*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**6\/30 - i**4\/24 + i**3\/3 - 6*i**2. What is the tens digit of f(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29376 and 34194?\nAnswer: 167413824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 1 + 2*a**2 + 1)*(3 + 2 - 4 + (-4 + 6 - 4)*(-2 + 3 + 1)) to t + p*a + l*a**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33343 - -20. What are the prime factors of d?\nAnswer: 3, 11, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -248926.6 rounded to the nearest one hundred?\nAnswer: -248900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35552, 70558, 105568, 140582, 175600, 210622, 245648?\nAnswer: 280678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -3*v + z, 2*v + 3*z + 18 = 2*z. Let i(l) = -l**3 - 12*l**2 - 11*l + 8. Let w be i(v). Let h = 16 - w. Solve -h = t - 3*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - l = -523, y - l - 101 = -0*y. Calculate the greatest common divisor of y and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from rcrrcrrrrcrrrr?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = 24*g + 4*h, 9*g - 7*g + 2 = -4*h for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 11 = -b, -24 = -4*f - 3*b - 7. Let g = 0 - -1. Find the first derivative of -2*i**f - 2 + 0 + g wrt i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2 - 13*w - 1. List the prime factors of t(8).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 34*d*i*k - 85*d*i*r + 2*d*k*r - d*k + 3*d*r wrt k?\nAnswer: 34*d*i + 2*d*r - d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 6*h**3 - 9*h - 7*h**3 + 94 - 4*h**2 - 99. Let n be r(-3). Suppose 0*f - 42 = -3*f. Which is smaller: f or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37989*a**4 - 1462*a**3 + a**2 - 804499219*a?\nAnswer: 455868*a**2 - 8772*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 13 - 3)*(-16*g - 5*g - 103*g) + 2*g - 2*g + g.\nAnswer: -991*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31929 is divided by 6779.\nAnswer: 4813","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 18 = -2*z. Suppose 2*f = -f + z. Let x be 3 + ((-34)\/26 - f). Is x less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11317 * -0.4.\nAnswer: 4526.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 445 is divided by 37?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1445, 1450, 1455?\n\"Answer: 5*g + 1440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4431, 4429, 4427, 4425, 4423, 4421?\n\"Answer: -2*a + 4433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y - 26*y = 6*y - 140. Let o(p) = 3*p - 7. Let k(l) = -4*l + 8. What is y*o(s) + 6*k(s)?\nAnswer: -3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t**3 + 2*t**2 - 2*t + 1. Let j be f(1). Suppose 5*h - 4*z - 9 = 0, -j*z - 3 - 2 = -5*h. Suppose 107 + 38 = h*u. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/z**(-1\/3))\/z)\/z)**(2\/19))**(-49)*(z*z**(-1\/6)*z*z**3*z)\/(z**(-1))**(-4\/35) assuming z is positive.\nAnswer: z**(36539\/3990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 7*c - 4 = 0. Suppose c*h + 16 = 70. Calculate the remainder when h is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -83.14 - -84. Let l = -210 + 208.14. Let b = f + l. Do 1 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2046*f. Let n(i) = -43*i. Let x(j) = -3*k(j) + 143*n(j). Let a(w) = -218*w. Calculate x(a(u)).\nAnswer: 2398*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + 13 + (-15 + 16 - 21).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 319*n + 2556. Let j be l(-8). What is the second smallest value in -2\/15, 0.6, -3, j, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/36*21 - 6\/(-9). Let o(d) = d**2 + d. Let h(j) = -8*j**2 - 8*j - 4. Let u(m) = -h(m) - 5*o(m). What is the tens digit of u(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 0.4 (c) -3 (d) -5 (e) -2999780\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*142\/160 - (-14)\/(-2)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 289274431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*x - 1199 - 1213 + 2410 + (-4*x + 2*x + 3*x)*(7 - 2 + 0) in the form d*x + w and give d.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -33386*-18.9\nAnswer: 630995.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 2:45 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppippppppiiipppi. What is prob of picking 2 i?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12763.\nAnswer: 12763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -c**8\/6720 - c**7\/2520 + c**5\/120 + c**4\/12 - 7*c. Let j(s) be the third derivative of q(s). What is j(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 - 3)*(3 - 6 + 5) - 80 - 29 + 10 - 1 + 3 - 3)*(p + 2*p - p).\nAnswer: -204*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 - -42. Suppose -l + 28 + q = -2*y, -2*l = -8. Let x = 68 + y. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -15) + (-8 - -11 - -4) + -2?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -2*z + 4, -2*z + 6 - 16 = -2*i for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 575873280051 and -843.\nAnswer: 575873279208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2001*d + 1972*d - 696 = 0 for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/2155 and -131\/350.\nAnswer: 150850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12254 - 404416\/33. Find the common denominator of p and -50\/381.\nAnswer: 4191","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.639542ml in litres?\nAnswer: 0.007639542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -456059*h + h**3 + 456059*h.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/16 and 77\/596.\nAnswer: 2384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 1933 and 1935 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*o + 12, 4*r + 10 = o + 2*r. What is the derivative of -20*x**4 + 9*x**4 - o - 14 wrt x?\nAnswer: -44*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.328 + -1.328. What is the fourth smallest value in b, -5, 6, 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j + 15*j - 5*j + (8 + 14 - 5)*(-2*j + j + 3*j))*(-j**4 + j**2 - j**2).\nAnswer: -49*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 405516.\nAnswer: 2, 3, 47, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of r + 20. Let w(y) = 5*y**4 + 5. Let q(h) = -h + 24. Let m be q(18). Let p(b) = m*c(b) - 2*w(b). Differentiate p(t) wrt t.\nAnswer: -40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, m: 3, h: 4, n: 2}. What is prob of picking 1 j, 1 h, and 1 m?\nAnswer: 72\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67 + 129. List the prime factors of z.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 - -12222?\nAnswer: 20020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z - 18*z + 216894 = 0. Let m = -332447 + z. Round m to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1240, -3452, -6530, -10474, -15284, -20960?\n\"Answer: -433*a**2 - 913*a + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, n: 1, z: 7, b: 2, t: 8}. Give prob of picking 1 z, 1 b, and 1 t.\nAnswer: 28\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/15 - (-2)\/6. Let q be -1*(-2 - t) + -2. Suppose -5*u = 2*m - 61, q*m + 5*m = u - 23. What are the prime factors of u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -52*a**3 - 3*a**2 + 8. Let x(q) = 157*q**3 + 8*q**2 - 23. Let h(j) = 8*t(j) + 3*x(j). Differentiate h(y) wrt y.\nAnswer: 165*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -210516, -210435, -210358, -210285?\n\"Answer: -2*k**2 + 87*k - 210601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -67. Let s = 101 - d. Calculate the remainder when s is divided by (-17)\/((2 - 1) + -2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 2*b - 7, 18*b + q = 14*b - 11 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22441344 (base 6) to base 7.\nAnswer: 5602102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 378350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 2)\/((-9)\/(-21)). Let g(d) = 2*d - 1. List the prime factors of g(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n**3 + 86*n**2 + 2*n + 3. Let y(p) = 3*p**3 + 87*p**2 + 2*p + 3. Let o(w) = -4*a(w) + 5*y(w). What is the second derivative of o(j) wrt j?\nAnswer: -6*j + 182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 - 33. Suppose 3*v - 14 = 5*j, -2*v - 11*j + 4 = -13*j. What is the second biggest value in a, 4, v, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -8. Suppose -2*n - 3*s + 43 = -p*s, -2*n + 2*s = -34. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*l = 22*l + 24 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**3 + y**3 - 2*y - 2*y**4 + 1 + y**4 to t*y**2 + q*y**4 + x*y + c*y**3 + w and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/(10\/14))\/(-2 - -1). Is 31 a factor of (-2)\/42*s - (-4740)\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -408 (c) -2\/31 (d) -0.3 (e) 17 (f) 3\/7 (g) -3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - (4\/1 + -3). Let d be (22 + -4)*(-3)\/(-2). Let q be (-4)\/18 - (-114)\/d. Solve x - s = m - 3, -m = q for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*p**4*v + 155*p**4 + 6*p**3*v + 14*p**2*v + 982*p*v wrt p?\nAnswer: -672*p*v + 3720*p + 36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 7*j**2 - 7*j - 4. Suppose -9 - 3 = -3*l. What is the remainder when l is divided by h(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4412 - 4401?\nAnswer: -14313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 11:44 PM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -69*x**5\/20 - 179*x**2\/2 + 80*x - 2. What is the first derivative of k(z) wrt z?\nAnswer: -207*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*s - 4, -4*s + 23*p - 21*p - 18 = 0. Sort s, -26, -5, 2.\nAnswer: -26, -5, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-8)*(o\/(o*o**(-2\/7))*o)\/o)\/(o*o\/o**19*o*o**(-16)\/o*o) assuming o is positive.\nAnswer: o**(170\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -10. Let i be p\/(63\/(-480))*600. Round i to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -560 - -1089. Let x = p - 529.01. Is -19 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*b + 42*b = 273. Let y = -65 + b. What is the highest common factor of y and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -249, 2, 1 in ascending order.\nAnswer: -249, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**2 + 20*c + 17*c - 67*c + 11*c + 15*c.\nAnswer: 7*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/4, -9\/2, 0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 80*k**2 - 24*k - 45. Suppose 40*x - 52 = -132. What are the prime factors of z(x)?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (7 + 1) - (20 - (25 - 20)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.028993 times -3?\nAnswer: -0.086979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/7 - (-2)\/(-7). Suppose i + 4*x + x - 30 = b, 4*i = 5*x + 20. What is the smallest common multiple of i and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -89*r**2 + 112*r**2 - 86*r**2 in the form j + i*r + m*r**2 and give m.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1390303307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7.89009 times 0.02\nAnswer: -0.1578018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**3 - 15*o**2 - 61*o - 103. Let z be m(-3). Which is the nearest to -5? (a) 1 (b) 6\/11 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-1 + -13) - 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 920421 and 186962174.\nAnswer: 187882595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 365 divide 139359555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -9, 5*o = -16*s - 23 - 22 - 132 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 806\/(-396))\/((-95)\/57). What is the closest to -1 in -2, 2\/7, v, 2\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aiiaa. Give prob of sequence aa.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2. Let j(m) = -2795570*m**2. Calculate i(j(k)).\nAnswer: -7815211624900*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4*(-4 + sqrt(112)*-2)**2.\nAnswer: -1861 - 256*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s. Let t(c) = -29730*c - 147. Let r(q) = 2973*q + 14. Let h(i) = 21*r(i) + 2*t(i). Determine p(h(d)).\nAnswer: 2973*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1590 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 o(a) = -3*a**2 - 19*a + 11. Let z(r) = -r**2 - 1. Let q(x) = o(x) - 5*z(x). Calculate the remainder when (-40)\/(-12)*(-186)\/(-4) is divided by q(10).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 788830 and 8595?\nAnswer: 955","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-60))\/((-32)\/12 + 3)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + 2896302644.\nAnswer: 2896302646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -28639 - 16865525\nAnswer: -16894164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 524507.\nAnswer: 524507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4495, -8992, -13489, -17986?\n\"Answer: -4497*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -5*h - 4*c, 22 = 4*h + 3*c + 3 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 1.65, 584, -1 in increasing order.\nAnswer: -1, 0, 1, 1.65, 584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n + 6*n + n - n to s + r*n and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**3 - 205*x**2 - 2481*x - 60. What is t(-14)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -74520385.\nAnswer: 22356115.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -6*l - 10*l + 14*l. Let p(n) = -8*n**2. Calculate q(p(v)).\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 11*u**2 + 11*u + 66. Let z be q(9). Solve 0 = -g - z*s + 11, 24*g - 28*g + 4*s = -12 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 338*c - 341*c + 4*d, -4*c = -d + 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 + 70 - (9 + -25 - 2)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4049181 + 2024834 + 2024941 + 2*b.\nAnswer: 2*b + 594","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -11*c**2. Let y(f) be the third derivative of -1\/24*f**4 - 6*f**2 + 0*f + 0*f**3 + 0. Calculate z(y(a)).\nAnswer: -11*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 38*g**2 + 37*g + 106. What is the remainder when i(-37) is divided by 34?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*m = -97*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 6)*(-3 + 3 + 2*k**4) - 19*k**4 + 8*k**4 - 5*k**4.\nAnswer: -14*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 40*r**2 + 50*r + 373. Determine v(-41).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (4 - 3 - -7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -9. Suppose -4*n + n = -f. Solve 5*d = r + 6 + 18, 3*r + 7 = n*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 5*o = 0, -3*y - 5*o + 5 - 1 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/3 + 10\/(-39). Let m be (33\/9 + -3)\/(8\/(-12)). Which is the nearest to m? (a) h (b) -3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 + -18. Suppose 4*w = 3*y - 53 - 33, -28 = w - k*y. Find the common denominator of 2\/7 + (-523)\/42 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 9310006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4174 = -0*z. Let t = z - 1167. What is t rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -251 + 430. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 8 = -3*k, -5*f - 7*k = -2*k - 25. Suppose 3*m - 5*j + 17 = 0, -2*j = -12*m + 7*m - 3. Let i = -0.2 + 0.5. What is the nearest to m in f, -1, i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50 - 49.96. Let q = -949 - -949.04008. Let y = w - q. What is y rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 7*v**3 + 3 + (-29 + 53 - 17 + 213)*(5*v**3 - v**3 - 5*v**3) to the form o + i*v**3 + r*v + g*v**2 and give i.\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010103 (base 4) to base 10.\nAnswer: 4371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1104 is divided by 37?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/11 (b) 39 (c) 231\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -2*v - q, 3*v - 2*q = -v + 62. Calculate the highest common factor of v and 78.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/98383 and -43\/15954.\nAnswer: 590298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25386 - -25386.00015889. Round s to five decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/130572 and 127\/60?\nAnswer: 652860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -540565 (base 7) to base 4.\nAnswer: -112323223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69130*i - 8 = 69131*i + 3*s, 3 = -3*s for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 9*n = 16*n + 22. Let j(l) = -2*l + 3. Let r(h) = -3*h + 3. Let t(i) = 5*j(i) - 4*r(i). Let b(q) = -q - 1. What is n*t(f) - 4*b(f)?\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 288 and 758304.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, x: 8}. Give prob of sequence xxc.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13800115?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 11:33 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2723108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12230006485 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/((-120)\/(-105)) - (-30)\/3. Suppose -3*k + 3*v + v = -14, 2*v = -k - 2. Let p be (5\/3)\/((-2)\/(-12)). Solve -k*m = x*m + p for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u + 5. Let s be v(-6). Let i be (1\/2)\/(s\/(-2)). Let d be -1*(2\/2 + -6). Put d, i, 4 in decreasing order.\nAnswer: d, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 + 70. Let j = 38 - b. Let h be -12*(3 + 32\/j). Round h to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(351)*3 - -2*sqrt(1404))\/(-5*(sqrt(432) + (sqrt(432) - sqrt(432)*1*-6 - sqrt(432)))).\nAnswer: -sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7.2, 3, -1339 in descending order.\nAnswer: 7.2, 3, -1339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**2\/l)**(1\/31)*(l**(-3\/8)*l)\/(l\/l**(-1\/3)*l))**26 assuming l is positive.\nAnswer: l**(-15899\/372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7643 = 115*g - 1088 for g.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2482, 9513, 21232, 37639, 58734, 84517, 114988?\n\"Answer: 2344*o**2 - o + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**5*r**(-4))\/(r*r\/(r*r*(r\/r**(2\/5))\/r)*r)**(1\/13))\/(r**4*r**(-3))**2 assuming r is positive.\nAnswer: r**(-72\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.147 times 0.201\nAnswer: 0.029547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1123 - 8?\nAnswer: -1132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**3\/8 + 31*z**2\/2 - 177*z\/2 = 0.\nAnswer: 0, 6, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 0 - 1 + 1 - 2*j. Let d(t) = -12*t. Determine l(d(r)).\nAnswer: 24*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.8 (b) -593 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2. Let r = 2 + 0. Let l be 1\/r + 20\/8. Let s(b) = -l*b + 2*b - b. Determine o(s(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5831354 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -0.1 (c) 7.54 (d) 5 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and 0.0254?\nAnswer: 4.9746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2453, -2493, -2533, -2573, -2613, -2653?\nAnswer: -2693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b - 19. Let i(s) = 3. Give 5*i(f) + t(f).\nAnswer: 3*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.1 (b) -2 (c) 0.45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 39\/(-90) - (-12)\/20. Let t = 0.5 - 0.1. Which is the smallest value? (a) m (b) 1\/2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 15 = 67. Suppose -2*a + v + 105 = 0. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 34*h - 90. Calculate the smallest common multiple of 55 and p(-24).\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -21 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2 + (2 + sqrt(6050) + 1 - -6*(-1 + sqrt(6050))))**2 + -5.\nAnswer: -3850*sqrt(2) + 296473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 13 = 4. Let f = -4 - -3. Which is the closest to f? (a) 1\/2 (b) 0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 12:33 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -0 + 4. Sort -14, f, -2, 0 in ascending order.\nAnswer: -14, f, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + 4*s - 11, 900 - 844 = 4*g + 13*s for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58901022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 g when three letters picked without replacement from {f: 2, g: 3, e: 12}.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.275 + -6.675. What is the third biggest value in u, 0, 2, -2.1, -2\/17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1464509.2 to the nearest ten thousand.\nAnswer: -1460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-4)*l)\/l*l\/(l\/l**(-4))*l\/l**(-5)*(l\/l**(-1\/3))\/l*(l*l\/(l*l\/l**(-2\/5)))**(1\/12)*(l**(-1)\/l)**(-1\/22) assuming l is positive.\nAnswer: l**(813\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.562 and 0.5.\nAnswer: 1.781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 42?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -9 - 3*i + 9 - 4*i. Let y(r) = 3*r. Determine v(y(z)).\nAnswer: -21*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9468*f + 9495*f - 405 = 0 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 = -5*v - 5*i, -1096*v + 69 = -1099*v - 33*i for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -355901.0007 + 355878. Let i = k + 23. Round i to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*f + 7*f - 80. Suppose -j + 3 = 2*i + 1, -5*j = -i - 54. Solve -g = f*g - j for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 + -4. What is the tens digit of (-4)\/(-3) + 1375\/x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 8 (c) -0.1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 189 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -7733*r**3 + 74*r**2 - 37. Let k(c) = -1289*c**3 + 12*c**2 - 6. What is -37*k(o) + 6*x(o)?\nAnswer: 1295*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - -25) + (2 - -2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 6. Let g(a) be the third derivative of 0 + 1\/24*a**4 - a**2 + 1\/2*a**3 + 0*a. Give g(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 1 = -1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 43034123 (base 5) to base 15\nAnswer: 722e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**3 + 5*h**2 - 5*h**2)*(-1 + 1 - 1 + (2 + 0 - 1)*(-3 + 6 - 4) - 6 + 11 + 7)*(1 - 1 + 2).\nAnswer: 60*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1785635089?\nAnswer: 7, 103, 2476609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f - 3. Let t be p(-14). What is the first derivative of 35 - t + 0*v + 0*v - 22*v**2 wrt v?\nAnswer: -44*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, -17, -641821 in decreasing order.\nAnswer: 35, -17, -641821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.7272458466 and -0.2.\nAnswer: 1.5272458466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 320, -3077, -8736, -16657?\n\"Answer: -1131*t**2 - 4*t + 1455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7299579 is divided by 1515.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -122 - 101. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*l - 5*m, 6 = l + l + 4*m. Let h be 57\/6 - l\/6. Calculate the highest common divisor of 1 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12603 and 60?\nAnswer: 252060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2718*y - 96668 + 1458 - 4868 = 5924 for y.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 424, 344, 264, 184?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -17 - 25. Let j = v - -15. Solve -5 = 2*t + j for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/7, 0.3, -1\/11, 5, -18?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2366644 and 0.106.\nAnswer: -2366643.894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1573 is divided by 40?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - j - 5, t - 322*j - 19 = -320*j. Solve -3*y + 21 = 11*i - 14*i, -t*i = 4*y - 7 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -9. Suppose -5*c + 56 = 2*s, -c - 10 = -q*s - 30. Suppose -c - 51 = -3*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25\/8? (a) -0.2 (b) 2 (c) -6 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -921*x**3 - 379*x**3 + 300*x**3.\nAnswer: -1000*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 - 4b?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 divided by 210?\nAnswer: 11\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -1369*f + 111. Let g(w) = 49*w - 4. Let o(l) = 222*g(l) + 8*v(l). Let a(c) = 5 - 3 + c - 2. Determine a(o(m)).\nAnswer: -74*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 48*p + 145. Let t be v(-45). Solve 30*d - 25*d = -t for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1520\/400 - (-4)\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -6*q + 4*q. Let n = -12 + 5. Is n != q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of 5*j**4\/24 + 49*j**3\/2 - 2*j**2 + 24. Let b be v(17). Calculate the greatest common factor of b and 290.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**2 + 2*w**2 + 4*w**4 - 2*w**3 + 2*w**3 - 2*w**4 + (-3*w**3 - w**3 + 3*w**3)*(3*w - 5*w + w) - 35*w**3 + 4*w**3 + 3*w**2 - 23*w**3 + 2*w**4.\nAnswer: 5*w**4 - 54*w**3 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5325132 divided by -15?\nAnswer: 1775044\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2383837 (base 11) in base 13?\nAnswer: -b232a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i**3 - 5*i**2 - i - 47. Let t(u) = u**3 + u**2 + 1. Let d(q) = -5*t(q) - v(q). Does 18 divide d(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.04 and 12.78.\nAnswer: 12.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 100030 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.2, 2, -3.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**5*o**(3\/7)\/o)**46 assuming o is positive.\nAnswer: o**(1748\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -606.1 - -606. Is d > -7\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.3 + -4.3. Let u = 8 + k. Which is the nearest to 2\/3? (a) u (b) 2\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -197, -395, -593?\nAnswer: -791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56 + 89. Suppose 6*q = -429 + w. Let o = 72 + q. What is the highest common divisor of o and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -13. Let t = -54.8 - -54.7. What is the second biggest value in 2, -4, d, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 1 + 3. Let z(q) = q**3 + q**2 - q. Let n be z(0). Let r = -1 + 0.8. Which is the nearest to t? (a) -5 (b) r (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.1, 1180 in increasing order.\nAnswer: 0.1, 2, 1180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 542407240?\nAnswer: 2, 5, 3547, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -d - 126. Suppose d*v = -8*v + 1428. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/98)\/((-8)\/14).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1362*j = 2*l - 1364*j + 32, 3*l + 48 = -12*j for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 19. Suppose c = 1 + i. Let t = -11 - -15. Solve t*d = 3*z + 4, 7*d - c*d = -z + 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 529798 to the power of 1\/2, to the nearest integer?\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-4)*(-84)\/(-30)*7. Suppose w*h = 4*h + 48690. Is h a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p + 1. Let j be g(0). Suppose -2*f + 13 = -j. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -65575, -62236, -58897, -55558?\n\"Answer: 3339*x - 68914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 7*h**2 - 2*h - 1. What is d(7)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -h - 3. Let l(v) = v**3 + 4*v**2 - 21*v - 46. Let z be l(-2). Let s be h\/((-6)\/16*z\/12). Solve -4*f - s = -5*t + 3*t, -3*f = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -308354*p**2*v**3 + 40603*p**2 - 32*v wrt v.\nAnswer: -1850124*p**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-14)\/2 - -6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**3 + 4867*x**2 + 2*x**3 - 12*x**3 - 4867*x**2.\nAnswer: -10*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 408 divided by 127767.\nAnswer: 136\/42589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*l**2 + 66*l**2 - 11*l + 11*l - 20*l**2 + 16*l**2)*(77*l + 129*l - 542*l).\nAnswer: -30576*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 - (-7)\/((-21)\/(-6)). Let d = 102\/205 - 4\/41. Sort -0.1, u, d.\nAnswer: u, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of (8\/6)\/(24\/9072)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 4*w**2 - 5*w**2 + 3*w)*(-3*w + 3*w - 2*w) + (4*w**2 - 5*w**2 + 3*w**2)*(6 + 5*w - 6).\nAnswer: 12*w**3 - 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-8) + 21\/12. Let l be (-1 + 4)*(-1)\/(-3). Let i be 1 - (l*4)\/2. What is the closest to i in 1, -0.5, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54124.96 centimeters in kilometers?\nAnswer: 0.5412496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1243805402?\nAnswer: 2, 7, 6961, 12763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 0. Let v = -0.2 + 0.3. Suppose 2*o = 4*o + 2. Which is the nearest to t? (a) o (b) 1\/5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -47497, -47467, -47437, -47407?\n\"Answer: 30*h - 47527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 486*v**3 + 477741*v**2 + 1906125*v + 11748 = 0.\nAnswer: -979, -4, -1\/162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jf when two letters picked without replacement from {f: 1, b: 2, a: 1, m: 2, j: 2, q: 4}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125750 is divided by 20958?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.68 greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 222?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -3388998, 4 in increasing order.\nAnswer: -3388998, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -972704 divided by -121588?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 17*x - 46. Let s = -55 + 44. Let u be a(s). Solve m - u = -3*m, -5*m = -h - 23 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (42\/147)\/(-1*(-2)\/14). Solve -5*m = 2*s - w, s + m = -2*m + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x**2 + 737*x + 3*x**2 + 2*x**2 + 0*x**2 - 3*x**2.\nAnswer: 7*x**2 + 737*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 + -25. What is the third derivative of 2 + 20*j**4 - 25*j**2 - 2 - 48*j**h wrt j?\nAnswer: -672*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 62, 131, 198, 263, 326, 387, 446?\n\"Answer: -w**2 + 72*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 6461*x + 49 = -6465*x + 26, -3*v = -5*x - 27 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 + 2\/(-1))\/((-1593)\/(-708))?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 11. Let a = 3 - 0. Sort w, -3, a in descending order.\nAnswer: w, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + 1. Let l = -19 + m. Which is greater: 1\/36 or l?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-8\/5)*d*d**22*d\/(d\/d**(1\/6))*d**(2\/51)*d assuming d is positive.\nAnswer: d**(3843\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36205404, 36205410, 36205428, 36205464, 36205524, 36205614, 36205740, 36205908?\nAnswer: 36206124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1338 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -573 + 2866\/5. Put j, -4\/3, 6, -0.3 in ascending order.\nAnswer: -4\/3, -0.3, j, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**2 + 17*s + 6. Let u be d(-9). Let x be (-2)\/8 - u\/420. Let z = 1.4 + 4.6. Which is the third smallest value? (a) 2 (b) x (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 292458 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 8*b**2 - b - 3. Let h be g(-8). Suppose 3 = -3*w - 0*w - h*x, -2 = 2*w - x. Let n = 5 + w. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -745946, -745980, -746014, -746048, -746082?\nAnswer: -746116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 9*i - 90 = 0. Suppose 5*k + 7*b = i*b + 10, k - b - 8 = 0. Let o(v) = v**3 - 5*v**2 - 5*v - 4. Let u be o(6). Put u, k, 0 in increasing order.\nAnswer: 0, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -990001*s**3 + 3*s**2 + 6*s + 2. Let m be l(-1). What is m rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*t - p, -3*p + 0*p + 18 = -3*t. Let r(a) be the third derivative of -a**6\/15 - a**5\/30 - a**4\/24 - 7*a**2. Calculate r(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 5:12 AM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -1343, -1\/4, 3.1 in decreasing order.\nAnswer: 3.1, -1\/4, -0.5, -1343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -15951*l + 2. Let c be p(2). Round c to the nearest 1000.\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -11\/140*p**7 - 1\/8*p**4 - 3*p**2 + 0*p**3 - 33\/160*p**6 - 1\/4*p**5 - 5\/448*p**8 + 0*p + 0. What is a in g(a) = 0?\nAnswer: -2, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -19*t + 14*t, -t - 4 = -m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of b**3\/3 - 3*b**2 + b - 2. Let t be f(5). What is the units digit of (-172)\/(-22) + t\/(-22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + 12*l + 32. Let v be s(14). What is the units digit of 100 + (4\/(-8)*v - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 323 + 13?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 952 divided by -68\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 686.577 + -687. Let u = -57.723 - o. Round u to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.04 + -0.12. Let n = -3.08 - q. Let i = 0 - -1. Which is the biggest value? (a) n (b) -0.3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010111010010000 (base 2) in base 12?\nAnswer: -21a40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 28944276 to the power of 1\/2, to the nearest integer?\nAnswer: 5380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235699.\nAnswer: 235699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*l**5 + 52*l**4 + 24*l**3 + l**2 + 11725*l wrt l.\nAnswer: -180*l**2 + 1248*l + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 491464.\nAnswer: 2, 23, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 73333*p**3 + 3*p - 73332*p**3 - 7*p**4 + 3 - 2*p**2 + 0*p to t*p**2 + h*p**4 + z + q*p + f*p**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -719 - -5765\/8. Calculate the common denominator of 47\/10 and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49416 - 69416. What is w rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11952 and 5004402?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 3*l - 2 = 15, 3*v = 4*l - 23 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 142 = -t - 2*t, -42 = -t - 4*p. List the prime factors of t.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.7 + 0.4. Let l = -127 - -127.083. Let v = 0.017 + l. Put v, 3, m in increasing order.\nAnswer: m, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(448) + 0 + 2 + 2 + 1 + sqrt(448) + sqrt(448) + 0 + 2*sqrt(448) + 2))**2.\nAnswer: 2240*sqrt(7) + 44996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/16 and -61\/10746?\nAnswer: 85968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000604 rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 5:30 AM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and -1735754429019.\nAnswer: -1735754429020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 8:43 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (209*k - 222*k + 1834 + 8*k)*(-k + k - 2*k) in the form a + f*k + t*k**2 and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 0, 4, 26, 72, 148, 260, 414?\nAnswer: 616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence doiv when four letters picked without replacement from {q: 1, o: 2, d: 1, v: 1, i: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o + 22*o = 2*i + 8700, 8712 = 2*o + 2*i. List the prime factors of o.\nAnswer: 3, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 109823560 by 10.\nAnswer: 10982356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -58 or -57?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/45 of a hour?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7416 - -7413.5. What is the nearest to f in -5, -1, 2.8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 53452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 3:23 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 176 - 111 = 4*n - 115, -90 = -2*n + 9*o for n.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 2 - d - d)*(20 - 9 + 16).\nAnswer: -108*d - 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, -55, -91, -107, -109?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 290091970*v**5 - 206983736*v**2?\nAnswer: 17405518200*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 5:21 PM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -48208 (base 11) to base 4\nAnswer: -100331112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of 5*p**4\/12 - p**2 - 26*p. Let h(r) = -16*r**2 + 7. Give 14*d(s) + 4*h(s).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20150 by 775.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 76732191 less than 1332483?\nAnswer: -75399708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*z**2 + 9*z**2 + 4*z**2 + 6*z**2 as g*z + c + o*z**2 and give o.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4 + 2*n + n**2 - 6*n**2 + 3 + 3. Suppose 0*b + 10 = 5*b. Let j(v) = 3*v**2 - v - 1. Let s(i) = b*z(i) + 5*j(i). Give s(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 238.\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1574 + 1574. What is the smallest value in -3\/5, 5, -2, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 201*o - 5. Let l be q(1). Suppose -d + 2*d - 28 = 0. Calculate the greatest common factor of d and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 118 and -5704?\nAnswer: 5822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of 1\/30*b**5 - b**2 + 0 + 0*b**3 + 0*b + 0*b**4. Let n(s) be the third derivative of s**4\/12 - 7*s**2. What is n(t(i))?\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of j**7\/2520 + 7*j**6\/720 + j**5\/24 - 13*j**4\/24 + 15*j**2. Let w(k) be the second derivative of r(k). What is w(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n. Suppose -5*z = l - 9, -4*z - 4*l + 3 = -1. Let q(m) be the second derivative of 3\/4*m**4 + m + 0*m**3 + 0*m**z + 0. Calculate k(q(c)).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by 69.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 915*n - 15893 = 224*n for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 60727464?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*n - 49*n - 792 = 81*n for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -201*f. Let o(k) be the second derivative of -5*k**4\/12 + 11*k**2\/2 - 79*k + 1. Let a(t) = -t**2 + 2. Let d(v) = 11*a(v) - 2*o(v). Determine h(d(p)).\nAnswer: 201*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -58 (base 10) to base 3\nAnswer: -2011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 98? (a) 3 (b) 17\/4 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/5 or -70?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -72 + 63. Let w = -0.1 - -5.1. What is the closest to a in w, -3, -2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*u - 76 = 58, -4*n + 3*u + 559 = 0. List the prime factors of n.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of 26*i**3\/3 + 12*i**2 + 5*i - 5. Find the first derivative of r(x) wrt x.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -58*l + 39*l. Suppose y + 2 = -4*d, l*y + 0 + 1 = -5*d. Factor 1\/5*x**y - 1\/5*x - 2\/5.\nAnswer: (x - 2)*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -8*w**2 - 5*w + 25. Let m(q) = q**2 + q - 1. What is -j(c) - 6*m(c)?\nAnswer: 2*c**2 - c - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127497, -253686, -378563, -502128, -624381?\nAnswer: -745322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 346 a factor of 44697002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-18)\/5)\/1)\/(2193\/(-5805)). Let j = 1852\/255 - c. What is the common denominator of j and (-6)\/(-20) - (-1 - 0)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169, 234, 901, 1826, 3003?\nAnswer: 4426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -d**6\/120 - d**4\/6 - 5*d**2\/2 + 4*d. Let u(t) be the first derivative of p(t). Find the second derivative of u(m) wrt m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/257 + -162419\/1285. Let l = -126 - z. Let b = 1.08 - 0.88. What is the closest to -0.1 in 0.3, l, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v + 47. Let s(h) = -6 + h - 17 - 4. Let m be s(14). Let k be i(m). Solve 3*w = w - k for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 2*n - 43, -q - 1 = -n - 16. Let c = -2 - -2. Suppose c = -5*p - 17 + 52. What is the remainder when q is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gpjur. What is prob of picking 1 r, 1 g, 1 p, and 1 j?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 14. Suppose p + 29 = 4*l, 8*l - 3*l - 10 = -k*p. Let z(s) = s**3 - 4*s**2 + 3. Let f be z(4). Solve -l*n + 7*n - f = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5 - 33 = -4*x, -x = 3*r - 4. Suppose 26*k + 688 = x*k. Put -4, 0, k in descending order.\nAnswer: 0, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**2\/3 - 2*t\/3 + 143\/3 = 0.\nAnswer: -13, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/40 and 121\/50.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 191233, 191188, 191113, 191008?\nAnswer: 190873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20664?\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 7*q**3 + 5*q**2 - 130*q + 5. Let f(a) = -8*a**3 - 6*a**2 + 129*a - 6. Calculate -6*b(d) - 5*f(d).\nAnswer: -2*d**3 + 135*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1785.5 + -2715.925849?\nAnswer: -4501.425849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 260290, 260299, 260322, 260365, 260434, 260535, 260674, 260857?\nAnswer: 261090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 119357941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 84 = 4*q, 9*q + 75 = 3*m + 8*q. Solve -40*u + 32*u = -m for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 2*r - f, -5*f = -r - 11 - 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4410 divided by 30.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/2*336\/(-252). Suppose -y - 5*c + 30 = 0, 9 = 2*y + c - 6. Solve y*d - h - 3 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42*-127.6.\nAnswer: 5359.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8928072, -17856148, -26784212, -35712258, -44640280, -53568272, -62496228?\nAnswer: -71424142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14868\/20*(-2)\/(-12). Let l = y + -124. Let k = 1.7188 - 2.0188. Which is the closest to -2? (a) l (b) k (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 201 (b) -0.2 (c) 0.5 (d) 267 (e) 3\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 - -31. Let z(q) = -d - 2*q**2 + 0 + 1. Let s(p) be the first derivative of p**3 - 2. Give s(z(u)).\nAnswer: 12*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, b: 2, o: 3, r: 3, w: 3, c: 2}. Give prob of sequence cwvr.\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of 0*q**5 + q + q**2 + 0*q**6 + 51\/2*q**3 + 1\/12*q**4 - 1\/105*q**7 + 0. Differentiate r(f) wrt f.\nAnswer: -8*f**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 2*d = 2, -4*r + 419*d + 2 = 418*d for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -8. Let r be ((-114)\/171)\/(7\/(-3) + 2). Suppose 2*t + r*z - 48 = -3*t, -g*t + 20 = -3*z. What is the remainder when 13 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-33)\/6)\/((-1)\/2). What is the greatest common factor of 77 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (1 + 0)*26. Let t = 36 + w. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 1:35 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 137363402317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of m**8\/42 + 31*m**7\/105 + m**6\/5 - 41*m**5\/6 + 25*m**4\/6 - 13*m**2. Determine c so that i(c) = 0.\nAnswer: -5, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -70 + 70. Suppose n = z - 5*z. Solve z = -d - d + 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4424 - -384?\nAnswer: -4040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 4*m + 16, 2*r - 6 = -4*m + 2*m. Solve -r*k = 5*c - 4, -2*k - 3*c + 0*c + 4 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57, -626, -1575, -2904, -4613, -6702?\nAnswer: -9171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 124263 or 131785?\nAnswer: 131785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2 + 3*y + 2. Suppose 3*w - w + 10 = 0. What is the units digit of c(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 690616 to the nearest integer?\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -21 + (-9)\/72*-8. Let y = 112 - 50. Let w = y + q. What is the remainder when w is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**2\/11 + 238*w\/11 + 240\/11 = 0.\nAnswer: -1, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 5 + 0)*(-2*d + 0*d + 4*d).\nAnswer: 18*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 9.9. Let z = 1792.55 + -1792.5. Which is the nearest to -1? (a) i (b) -1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62196679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11785 - -324777. Let d = u - 473992. What is d rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-1 + sqrt(13))*1)**2.\nAnswer: -2*sqrt(13) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 5*w - 9. Let l be m(-7). Suppose l*f - 18 = 7. Suppose f*g - i - 262 = -2*i, -i + 103 = 2*g. What is the remainder when g is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -86, -5, 265132 in decreasing order.\nAnswer: 265132, 1, -5, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 7:36 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**2 - 1 + s**3 - 3*s - 2 + 0. Let n = 18 + -20. Calculate the lowest common multiple of 7 and f(n).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -d**7\/84 - d**6\/90 - d**5\/120 - d**4\/6 + 2*d**3 + 4. Let n(z) be the third derivative of h(z). Is n(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/54*-18 - (-12)\/2) + 7872\/(-615).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1734.9409 - 1735. What is l rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**2 + 5*c**2 + 0*c**2 + (2*c - 3*c + 0*c)*(5*c - 9*c - 7*c) + c**2 + c**2 + 0*c**2 + 3*c**2 - 3*c**2 + 2*c**2.\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 656127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 1635130*p**2 - p - 1. Let v(i) = 7*i. Determine r(v(l)).\nAnswer: 80121370*l**2 - 7*l - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a centimeter in micrometers?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -d**6\/1080 - 7*d**5\/540 - d**4\/36 - 48*d**2 + 2*d. Factor z(u).\nAnswer: -u*(u + 1)*(u + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 67157*o + 31 + 67113*o)*(1 - 2 - 1)*(o + 5*o - o) as a + g*o + c*o**2 and give g.\nAnswer: -380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 595, 1324, 2053, 2782?\nAnswer: 3511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(392)*-1)\/sqrt(8) + sqrt(49))\/(sqrt(7) + (sqrt(7) + sqrt(21)\/sqrt(3) + sqrt(7) + sqrt(7))*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/16)*t**(-2\/63))\/((t\/(t*t*(t\/(t**(-16)\/t))\/t*t*t))\/(t**5*t)) assuming t is positive.\nAnswer: t**(26239\/1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 g, and 1 a when three letters picked without replacement from knnoanaoaannognaanno?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 496.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/8 and -33\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**2. Let j(h) be the first derivative of -13229*h**2\/2 - 3826. What is g(j(v))?\nAnswer: -350012882*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wmw when three letters picked without replacement from {m: 10, w: 4}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n + 1. Let o(k) = -k**2 - 3*k - 3. Let w(p) = -o(p) - 3*v(p). Suppose -g = -h - 0*g, 5*g = 3*h + 6. Let m(f) = -4 + h + 95*f + 1. Determine m(w(t)).\nAnswer: 95*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/296881456 and -17\/16.\nAnswer: 296881456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175098 is divided by 54546.\nAnswer: 11460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75953118.\nAnswer: 2, 3, 12658853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a minute in seconds?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**2 + 2*r + 1. Let g be ((-6)\/9)\/(2\/(-3)). Let t be 3 - -2 - g*3. Suppose -x - t = -3*u - 4, 3*u = 4*x + 1. What is p(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 715044 or 714926?\nAnswer: 714926","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1506626 (base 7) in base 15?\nAnswer: -406db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2685, -2665, -2645, -2625, -2605, -2585?\n\"Answer: 20*t - 2705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 95147 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 616 and 18.\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/(-4))\/(1\/(-4)). Let q(s) = -s + 2. Let x be q(-4). What is the second derivative of w**5 + x*w - 23*w + 5*w**5 + 13*w**d wrt w?\nAnswer: 380*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 19. Let c be 0*n\/18*-3 + 2. What is the second derivative of 241*z**3 - 230*z**3 + c - 2 + 27*z wrt z?\nAnswer: 66*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 + -7. Suppose 10 = 2*m - 86. Suppose 4*d - m = -0*d. Calculate the highest common divisor of d and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a - a + 4323 + 14148*a**3 - 14146*a**3.\nAnswer: 2*a**3 - 3*a + 4323","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a = -1 - 47 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1848 - -2134. Is h <= 286?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 252000 = -6*b. What is b rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, l: 1, k: 2, o: 1, u: 2}. What is prob of sequence kco?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 6645011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -932151 + 198857 = -21*y + 282098. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 141.4 - 141.12. What is the third smallest value in i, 7\/2, 2?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.23 - 1.23. What is the closest to i in 30, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.017 - 3.003. Let k = u + 2.96. Which is the nearest to k? (a) -5 (b) -1\/8 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -173 - -42. Let d = -131.0103 - f. Round d to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 3. Calculate the lowest common multiple of 3 and ((-110)\/50)\/(m\/5).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 120, 126, 136, 150?\n\"Answer: 2*o**2 + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2e333 - -130?\nAnswer: 2e463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 56315 (base 8) to base 11\nAnswer: 16938","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*n = -190, -173 = 3*v - n + 132. Let z = v + 37. Let d = -44 - z. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 5 + 450\/(-115). Put -5, t, 0.15 in descending order.\nAnswer: 0.15, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16575569 is divided by 302.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -260*t**4 + 7319*t**3 + 2*t**2 + 6143161*t?\nAnswer: -3120*t**2 + 43914*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000092955 rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 39 - 25, -3*j - 177 = -27*w. Put 14, -2, -5, 5, j in descending order.\nAnswer: 14, 5, j, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**4 + v**3 - v**2 + v - 1. Let c(f) = 12*f**4 + 10*f**3 - 10*f**2 + 10*f - 8. Let a(i) = -c(i) + 10*w(i). Differentiate a(n) wrt n.\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*b*w**2 + 37*b*w + 47*w**2 - 12*w wrt b.\nAnswer: -9*w**2 + 37*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 120 = -4*g. Let d be 24\/g*(-10)\/4. Solve 9 = 2*j + 3*s - d, -j + 5*s = 1 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 558243?\nAnswer: 3, 7, 8861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 3882356938 to the nearest 100000.\nAnswer: 3882400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 12*p + 6. Let n be t(-11). Let x(m) = 12*m**2 + m. Is x(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -4\/5 (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.49993 - -3.5. Round v to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**2\/3 - 99*y - 296\/3 = 0. Calculate y.\nAnswer: -296, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12 + 10)*31\/2. Sort 3, l, 0 in increasing order.\nAnswer: l, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 442718 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in -3, -18, -0.182?\nAnswer: -0.182","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-18))\/u**4)**(-7\/3) assuming u is positive.\nAnswer: u**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/7))**(-2\/71)*(s**(3\/4))**(1\/20) assuming s is positive.\nAnswer: s**(1011\/39760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -33060.3378 to the nearest ten.\nAnswer: -33060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000382619 rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*w + 3, 3*w + 9 = -3*s. Suppose s = 3*f - n - 2*n + 6, 3*n = 0. Let c = 46 - 45. What is the third smallest value in c, f, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(16\/(-15))*8920\/22300*2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -4\/5*d**2 + 2\/5*d**4 + 2\/5 + 0*d + 0*d**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4383 or 4463?\nAnswer: 4383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + t - 3*t + 2)*(8*t - 9*t - 10*t)*(-32*t**3 + 31*t**3 + 49*t**3).\nAnswer: 1056*t**5 - 1056*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 24*c**2 - 1177*c + 6151. Calculate v(43).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yuuu when four letters picked without replacement from {w: 1, l: 1, u: 6, g: 3, y: 6}?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-19*(-28)\/6976382) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 18*i**2 - 39*i + 22. Let f be m(-20). Let p be -3 - -7 - (-3 + f). Which is the nearest to -1? (a) 1\/3 (b) 4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3 = 5. Solve 0 = -2*u + x*l + 4, 2*l = 4*u - 6*u - 16 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-810)\/(-3015))*9.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34691793.\nAnswer: 3, 11563931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 283738.35 months in millennia?\nAnswer: 23.6448625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -5*f**5 + 30*f**4 + 75*f**3 - 580*f**2 - 240*f + 2880 = 0.\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 910651?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-2))\/((-3)\/(-18)). Let x be 4081\/28 + 2\/8. Let u = x - 119. Calculate the highest common factor of u and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*3\/9 - 0\/(-1). Which is the nearest to 0? (a) f (b) -0.5 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -0.07.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 109 - 164. Let o = -23 - g. Which is bigger: o or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000990449 rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (183*y - 679*y + 346*y)*(-5*y**2 + y**2 + 2*y**2).\nAnswer: 300*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159041 divided by 1.\nAnswer: 159041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4*l = -8*l - 32, 0 = -j + 2*l + 13. Suppose 0 = 4*i - 3*i + 2*m - 16, j*i - 56 = -2*m. Solve -3*o = -3*a - 4*o - i, -5*a = -5*o for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24437083 is divided by 2455.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6136264, 6136265, 6136266, 6136267, 6136268?\n\"Answer: n + 6136263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 + 152 = 55*q. Suppose 2*g + 5 = -3. Let o be 3 - (1 + 0) - g. Solve -q = s - o*s + 5*p, 20 = 5*p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-15)*10959\/806 + 90\/(-10)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(1331) - (-1 + sqrt(1331))))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2)\/((c*c*c*c**(-4)\/c)\/c))\/((c\/c**4*c)\/(c**(2\/15)\/c)) assuming c is positive.\nAnswer: c**(32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + 2 + -4 + -21?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -46, -316, -1056, -2500, -4882?\n\"Answer: -39*g**3 - g**2 + 6*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnxn when four letters picked without replacement from {x: 5, n: 2, y: 3, w: 7}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3149620 and 28692270?\nAnswer: 2352766140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2281*h**3 - 38697*h wrt h.\nAnswer: -13686*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 132 + -138. What is the nearest to 1 in k, -1, 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122020022 - -1101222?\nAnswer: -120211100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17323 + 17341. Solve -14*x - 3*w = -12*x + q, 0 = x - 2*w - 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 equal to 1562\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 3*l**4\/2 + 1931*l**3\/2 - 647*l**2\/2 - 1931*l\/2 + 322 = 0.\nAnswer: -644, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23182\/5 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18146.843 - 178?\nAnswer: 17968.843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -2. Let b be ((-3)\/4)\/(k\/(-4)). Factor -b*w + w - 4*w**2 + 0*w.\nAnswer: -2*w*(2*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/4*(-124)\/(-93)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000280257074 to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 0.1, -2\/5, -0.18, -10815?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -538, -1105, -1672, -2239, -2806, -3373?\n\"Answer: -567*f + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 14220052.\nAnswer: 5\/7110026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.001? (a) -455 (b) -2 (c) -20\/13 (d) -17 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*f**3*v**3 + f**3*v + 2*f**2*v**2 + f*v**4 - 6 wrt v.\nAnswer: 24*f**3 + 24*f*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 3*h = -26, -195046*y + 195051*y - 26*h = 199 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.4 in 2\/7, -2387, -45?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d + 10. What is m(9)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ctudujjb. What is prob of picking 1 j and 1 t?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 0.14, 50\/3 in descending order.\nAnswer: 50\/3, 0.14, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of p**6\/120 + p**5\/60 + p**4\/24 - 5*p**2. Calculate d(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (1869\/105 + -17)\/(2\/3)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2122112 (base 4) in base 10?\nAnswer: -9878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 295412541?\nAnswer: 3, 127, 775361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 16, 29\/6, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 + 45. Suppose -7*f = -p*f - 21. Let b(k) = -3*k + 1. Let u(q) = 2*q - 1. Let l = 0 - 5. Calculate f*u(m) + l*b(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -10*q**2. Let l(y) be the second derivative of 14*y**3\/3 - y + 23. Let b(n) = -2*n. Let x(h) = -16*b(h) - l(h). Determine x(u(p)).\nAnswer: -40*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y - 4*y + 10*y - 10 + y - 10*y - 3.\nAnswer: -7*y - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -363*f + 156. Let u(k) = 8*k - 3. Let s(i) = -90*u(i) - 2*w(i). What is s(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/sqrt(45) + sqrt(85)\/(sqrt(25)\/sqrt(5)).\nAnswer: 4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99, -398, -905, -1620, -2543?\nAnswer: -3674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2117?\nAnswer: 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0*x - 17 = x, -3*x + 54 = 4*o. What is the highest common divisor of 30 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j + 6. Let q be 12 + (-2 - 1) + -2. Let i be w(q). Suppose -214 = -4*o + 3*s, o + 4*s = 43 + i. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 18*n**2 + 24*n - 7. Determine y(19).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*n - 5*i - 44, 0 = 3*n + 4*i + 26. Let g = n - -377. List the prime factors of g.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3382.04+-0.3\nAnswer: 3381.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 430 and 0.05.\nAnswer: 21.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/((-10)\/4))\/(-2). Let d be 1\/(r\/(57\/(-15))). Let k = 4 + d. Which is the smallest value? (a) k (b) -3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 28. Let h(f) = -3*f - 60. Let s be h(-20). Calculate g(s).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 8:26 AM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 96 = 112 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 203497?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34*y**5 - 10*y**4 + 47*y**2 + 76*y?\nAnswer: -2040*y**2 - 240*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/18 and 87\/1442.\nAnswer: 12978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*p - 787 = 964 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and -500249.837068.\nAnswer: -500245.837068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wvvw when four letters picked without replacement from vwvwv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 12:38 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 - 621\/81 - 12382*(-2)\/14862. Which is bigger: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-16)\/(y**0*y) assuming y is positive.\nAnswer: y**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (4328\/32)\/((-3)\/(-12)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -17*k**3 + 12*k**2 - k - 11. Let u(t) = -7*t**3 + 5*t**2 - 5. Calculate 3*o(c) - 7*u(c).\nAnswer: -2*c**3 + c**2 - 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000007523 rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (x**2 - x + x)*(-11 + 1 + 0)*(-x**2 + 4*x**2 + x**2) + 4*x**4 - 12*x + x**2 + 12*x as l + f*x**2 + w*x + q*x**4 + o*x**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 60735578 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 + 13*g**2 + 3*g**2)*(0 - g + 0) + g**3 + 2*g**3 - 6*g**3.\nAnswer: -18*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*g**3 - 100*g**3 - 29*g + 26*g + 29*g**3 + 33*g**3 + 24*g.\nAnswer: -g**3 + 21*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 7 + 5*z**2 - z**2 - 3*z**2 - 6*z - 4*z. Let k(s) = s**3 - 6*s**2 + 3*s - 10. Let u be k(6). Let f be j(u). Sort -3, -1, f.\nAnswer: f, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 3\/5, 14, 4, -3\/8, 0 in ascending order.\nAnswer: -3\/8, 0, 3\/5, 3, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -1\/2, 0.5, 209\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 1123*t**4 + t**3 - 6*t**2 + 1. Suppose u - 18 + 10 = 0. Let b be l(u). Round b to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7527.\nAnswer: 3, 13, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -108ad8c (base 15) to base 12\nAnswer: -3b67580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 6*k - 17. Solve k*z + 2*c + 19 = 0, -2*z - 9 = -z + 2*c for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -87613290 to the nearest one hundred thousand.\nAnswer: -87600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -87304 * -0.1\nAnswer: 8730.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 e when three letters picked without replacement from yyxxexeyyyyyyox.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of -5\/2*c**3 + 6*c**2 + 0 + 22*c - 1\/4*c**4. What is g(-6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 6*g**2 + 158*g + 813. Calculate t(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-2368)\/(-44) - (-12)\/66 and 4.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 1:13 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-1)*z)\/z)**(10\/9)*((z\/(z\/z**(3\/2)))\/z)\/(z*z**(-2\/3)) assuming z is positive.\nAnswer: z**(43\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 9*w - 4. Suppose w*y - 34 = 2*i, 2*y = 6*y - 3*i - 70. Let x = -3 + y. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 13 (b) -1 (c) 2\/9 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -24057?\nAnswer: -24062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 32\/14 - 20\/70. What is g in -g**3 + 4*g**3 + 4*g - 8*g**2 - v*g**4 + 2*g**3 + g**4 = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*g - 23 = -g, 5*m + 2*g - 30 = 0. Calculate the common denominator of 2\/m - 103\/20 and 89\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2676 + 5284 - 2608 - l - l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 2*j**2 + 36*j - 41. List the prime factors of d(-17).\nAnswer: 2, 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 15\/4*m + 9\/2*m**2 + 0 + 3\/4*m**3 = 0.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -12*p**3 - 277*p**2 - 427*p - 9382. Give w(-23).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 212301 (base 5) to base 3\nAnswer: 100212201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3690 - 126*z - 30644 + 127*z.\nAnswer: z - 26954","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2798*((-2)\/(-6))\/((-101)\/(-4545))?\nAnswer: 2, 3, 5, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11208 - -17207. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(1 + -3 + 1). Solve -z*v + 5 = -5*o, -3*o - 2*o - 3*v - 13 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -4, -1\/15 in descending order.\nAnswer: -1\/15, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.95 - -0.15. Let o = 408 - 406.6. Let r = l + o. Put r, 0, 22 in descending order.\nAnswer: 22, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5656 divided by 1414?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {k: 9, g: 5}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25229344 and 2365251.\nAnswer: 75688032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = 4*m + 22*r, -3*m + 79 = -36*r + 37*r for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, k: 6}. What is prob of picking 1 k and 3 b?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in -5\/4, 0.3, -19.6?\nAnswer: -19.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u - 40. Let k(y) = 4*y**2 + 1. Let w be k(-1). Let g be 20\/((w + -6)*1). Let q be o(g). Let t(s) = s + 3. Calculate t(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -7 - 5 - 5*g + 9 - 55 + 14*g. Calculate o(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4)\/((54\/(-24))\/(-9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -115 and 2.9.\nAnswer: -112.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 4, -2, 7, -35, -4196, 3 in descending order.\nAnswer: 10, 7, 4, 3, -2, -35, -4196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 3 - 0 - 3 - -5 - 8\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 - 31. Suppose f*l = 4*u + 204, 0 = -0*l + l + 5*u - 63. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -133*k - 4 + 12 + 34 + 11 - 15 - 41*k**2 + k**3. Calculate a(44).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 3*g = -7, 60*m + g - 11 = 54*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 335066903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 491, 12, 6 in increasing order.\nAnswer: 6, 12, 491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -26. Let m = 6 - z. Let b = -0.04 - -3.04. What is the closest to 1\/4 in -0.3, b, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122065 is divided by 466?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 7:44 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, v: 1, a: 5, j: 3}. What is prob of picking 1 j, 1 d, and 1 v?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -1758 + 1758 + 3*y**2. Let h(v) = -11*v**2. Determine u(h(n)).\nAnswer: 363*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 12*w**2 - 6*w + 8. Let a be r(-12). Suppose -5*z = 4*m - 89, 5*m - 4*z = 6 + 54. What is the highest common divisor of a and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1100010000010000 (base 2) to base 15\nAnswer: ed12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*w = 79*w + 370. Which is smaller: 73 or w?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**7\/105 - b**6\/30 + b**5\/30 + 2*b**2. Factor z(r).\nAnswer: 2*r**2*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -252\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/5 + (-21)\/(-15). Suppose 3 + 4 = -h - 2*d, 2*h + 12 = -3*d. What is the units digit of (-2)\/h*(2 + k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1840 and 54499?\nAnswer: 56339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4185 or -4186?\nAnswer: -4185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 0*m**2 - 11\/3*m**3 + 0*m - 21. Let i(j) = -3*j**2. Calculate p(i(l)).\nAnswer: -99*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (4\/5 + (-42)\/(-6))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1010)\/(-303)*(-9)\/(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6040 + -6045. What is the closest to -1\/971 in a, -2\/5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4*(-3*(sqrt(1088) + 1) + sqrt(1088)) + (sqrt(1088) - (sqrt(1088) - sqrt(1088)*2*-4) - (-1 + (sqrt(1088) - 1*sqrt(1088)))))**2.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m. Let t(f) = -35*f**2 - 2*f - 194. What is t(j(i))?\nAnswer: -140*i**2 + 4*i - 194","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z + 23. Let u be f(19). Suppose -231 - 385 = -u*y. Let w = 359 - y. List the prime factors of w.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**3\/6 - 89*t**2\/3 + 3478*t\/3 + 44180\/3 = 0.\nAnswer: -10, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -2. Let q(k) = -5*k**2 + 3*k - 7. Let s(t) = 2*t**3 + 10*t**2 + 7*t - 10. Let x be s(-4). Let h(r) = -r**2 + r - 1. Calculate c*q(v) + x*h(v).\nAnswer: v**2 - 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i - i + 3*v + 100, 3*i + 1199*v + 386 = 1070*v - 208 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4394*k**2 - 13*k + 17. Let n = 343 - 341. Is s(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -143.324539 rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 3 + (-17 - 4) + 14\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**2 + 2*h - 1. Let i be l(1). Suppose -23*v + 2 = -26*v + 20. Sort v, -3, 1, i in decreasing order.\nAnswer: v, 1, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -q**4\/12 - 3*q**3\/2 + 3*q**2 - 19*q. Let n be o(-7). Let z(j) = 6*j**2. Let u be z(1). Solve u*l + n = l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**2\/4 + 14481*a\/2 + 3529784 = 0. What is a?\nAnswer: -28466, -496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3382 - 1687 - 1695 - 394*s**2.\nAnswer: -394*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 22*z + z**2 - 51*z + 21*z + 6. Suppose -5 - 5 = -2*a. Determine h(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2 = 2*j, h + 20 = 5*h + 4*j. Suppose s = h*t - 1, 2*t + 7 = -3*s + 4. Solve 4*o + 20 = 4*b, t*o + b = -5*o - 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/12 - (-256)\/48. Solve -15*f + 60 = g*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, 7, -0.3, -0.0242?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.22, 1\/6 in decreasing order.\nAnswer: 2, 0.22, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**12\/c*c)\/(c**(-1\/9)\/c*c*c))\/((c\/(c\/c**(1\/4)))\/c)**(-20))**(-50) assuming c is positive.\nAnswer: c**(1750\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -248, -252, -256, -260, -264?\n\"Answer: -4*s - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1266 - 357. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 358119.008 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -19.9 (c) -2\/9 (d) 0.3 (e) 3\/5 (f) 2 (g) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**2\/5 + 1235212*k\/5 = 0. Calculate k.\nAnswer: 0, 617606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 201*f**2 - 27*f + 50. What is the hundreds digit of c(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07*7917.\nAnswer: 554.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j**4*v**2 - 101*j**4 + j**2 + 169*v**2 wrt j?\nAnswer: -48*j*v**2 - 2424*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1106106934?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -262*j**4 - 427*j**2.\nAnswer: -6288*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f**4 - 2*f**2 - 3 + 0*f**2 + f**4 + 6 - 2 to the form m*f**3 + d*f**4 + o + b*f + j*f**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1873, -2, -27, -14 in ascending order.\nAnswer: -27, -14, -2, 1873","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) -0.08 (c) 0.4 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 571*d**2 - 2*d + 5. Let k(a) = a**3 - 576*a**2 - 3*a + 6. Determine 6*h(f) - 5*k(f).\nAnswer: f**3 - 546*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 4*b - 2. Let s(t) = -4*t**2 - 30*t - 262. Calculate 6*q(z) - s(z).\nAnswer: -2*z**2 + 6*z + 250","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a - 12. Let j(w) = 2. What is 6*j(v) + 2*t(v)?\nAnswer: -2*v - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l*l**0)**(-18))**(-9)*(l**(-2\/3)*l*l\/l**(-7))**(-33) assuming l is positive.\nAnswer: l**211","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of 0*h**4 + 0*h - 1\/540*h**6 + 0*h**5 + 4*h**2 - 1\/1512*h**8 + 0*h**3 - 2\/945*h**7 + 0. Factor x(m).\nAnswer: -2*m**3*(m + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 + 67 - 30 - 62*b**3.\nAnswer: -62*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)*3)\/sqrt(7) + (sqrt(117)*3)\/sqrt(9) + sqrt(13).\nAnswer: 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26\/33 - -16\/11. Let t(f) = 14*f**3 - 12*f**2 - 12*f + 1. Let o be t(-1). Which is the third smallest value? (a) 2\/7 (b) z (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -341 + -176. Let a = 910 + d. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 4 + (sqrt(84) + (sqrt(84) - (3*(sqrt(84) + 2*sqrt(84)) + sqrt(84))))\/(sqrt(1728) + sqrt(1728) + -2*sqrt(1728) + sqrt(1728)) + 1.\nAnswer: -2*sqrt(7)\/3 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 846 is divided by 71.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 25*o - 57. Is n(9) a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153 - 153 - 20*j**2.\nAnswer: -20*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 17 = -m, -19*t = -6*m + 8*m + 116 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -608525, -608451, -608377?\n\"Answer: 74*d - 608599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (870\/(-150) + 6)\/((-1)\/(-2))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4292.089cm to micrometers.\nAnswer: 42920890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - u - 1. Let a(i) = -i**2. Let m(g) = -5*g + 5. Let d(w) = 5*a(w) + m(w). Let j(s) = d(s) - 5*v(s). What is the first derivative of j(t) wrt t?\nAnswer: -20*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fooqqqqqqqqooqqofqqq. Give prob of picking 2 f.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 657624 and 347225472.\nAnswer: 347225472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 37428.7095 milliseconds in weeks?\nAnswer: 0.00006188609375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4478455?\nAnswer: 5, 895691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by 72.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05686808 - 4?\nAnswer: -4.05686808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-96) - (-7)\/(-84). What is the second smallest value in 9, -2, -0.4, z?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38 - 12. Suppose 10*a = 9*a + 20. List the prime factors of (16\/a)\/((-4)\/d).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242\/(-1573) + 1 + (-268)\/286?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76550000 rounded to the nearest one million?\nAnswer: 77000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y**2 + 0*y**2 - y**2)*(-8*y + 2 - 3 + 4) + 4 + 32 + y**3 - 3*y**3 as r*y**3 + c*y + l + f*y**2 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2939787 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 4*d = -3*i + 2, 5*d = 2*i + 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18879176 and 1184?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*t = 75*t + 4*k - 7, 2*t + 3*k = 41 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -443*u**2 + 1 + 1376*u**2 - 439*u**2 - 7*u - 16166*u**3 - 463*u**2 wrt u.\nAnswer: -96996","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - w = -0*w - 20, -20 = y - 4*w for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 212463 - 212427.2364. Let f = 0.0636 - k. Let v = -15 - f. Round v to the nearest integer.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 1206558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -681 divided by 3\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (68\/14)\/((-6)\/(-84)*2). What is the highest common factor of t and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.258, 0, 3\/5 in descending order.\nAnswer: 3\/5, 0.5, 0, -0.258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + 0 + -2)*1. Let z be 6\/15 + (-36)\/(-10). Let g(s) = -3 + z*s - 2 - 3*s. Give g(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 224 + -238 - (3 - (2 + 22))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 34 = 10. Let f(d) = 54*d**2 - 42*d - 3. Let v(p) = -18*p**2 + 14*p + 1. Let h(q) = n*v(q) + 4*f(q). Is h(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 8868995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2268200 rounded to the nearest 100000?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0)**(37\/2)\/(h**0*h)**(2\/119) assuming h is positive.\nAnswer: h**(-2\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o - c = -12*o + 40, -2*c - 17 = -o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1360329 to the power of 1\/2, to the nearest integer?\nAnswer: 1166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 10 = -17. Let f be (-214)\/(-8) - (-2)\/8. Let g be 345\/f + 6\/u. Solve r = -2*c + g, 5*r - c - 1 = 4*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**2 + 120*q - 1674. What is x(13)?\nAnswer: -452","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*s + 76*s - 3876 = 0. Suppose 0 = 5*j - 36*r + 31*r - 235, -5*j = -4*r - 239. What is the greatest common divisor of s and j?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1326 = 91*i - 74*i. Solve -56*k = -i*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/7)*u*u**(-1\/7))\/((u**7*u)\/(u\/u**(-1)))*(u**(-1\/21)*u*u*u*(u**13\/u)\/u*u)**5 assuming u is positive.\nAnswer: u**(1468\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three tenths of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**3 + 13146*o**2 + 21450192*o - 500332984 = 0.\nAnswer: -3298, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**3 - 12*m**2 + 10*m + 14. Let s(c) = -c**2 + c + 1. Let f be 1*4 - (-13 - -5). Suppose 2*l = 4*b + 60 - f, -4*l + 24 = -2*b. Give b*s(w) + d(w).\nAnswer: 2*w**3 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 1:25 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + (-5*sqrt(76) + sqrt(76))*3)\/(sqrt(252)\/sqrt(7))*5.\nAnswer: -55*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 3.6. Let h = 556.6028 - 557. Let k = w - h. What is k rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-4)*-5*6\/8*(-184)\/276?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 18363280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m + 7343 = 21*m. What is the remainder when m is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 5*o - 60 = -25, -11*o - 481 + 468 = 3*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -4*l**2 - 1 + 4*l**2 - 7*l + 13*l - l**2. Suppose -3*g + 6 = -3. What is the smallest common multiple of r(g) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -707 = 170*y + 21 + 462 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69 and 184?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-390)\/(-26))\/30*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-1) - -1*4. Suppose 3*r = 7*r - s - 10, 5*r - o*s = 18. Let j(k) = 6 - r*k - 6. Let f(z) = -3*z**2. Calculate j(f(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31418 is divided by 10463?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(30\/(-10)))\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of 5*j**4\/4 - j. Let s be b(2). Suppose 0 = d + 4*d - s. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 11:26 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/3*(2 + 1). Let c be (-21)\/24*-1*8. Suppose -r*m = -3*s - c*m + 189, -3*m = 6. Calculate the greatest common divisor of s and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65.7 + -66. Let w = -2.089 - -0.089. What is the second smallest value in w, 3, 1.4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -165, -1379, -4695, -11169, -21857, -37815, -60099?\n\"Answer: -176*h**3 + 5*h**2 + 3*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/52)\/(36\/(-234))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5*t + 3*t + 18, 5*n = -4*t - 8. Suppose t*w - 30 = j, j = 4*w + 2*j - 47. Calculate the remainder when 31 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 429 divided by 18660\nAnswer: 143\/6220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -q - 40. Let v = q - 125. Let a = v - -121. Is a a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 1233?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.93 - 4.23. Sort -5, 0, d, -4\/5 in decreasing order.\nAnswer: 0, d, -4\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263 = 8*o + 151 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (5 - 3 - (-1 - -2)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2, -9, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4368 + -4367.9997523. Round b to 5 decimal places.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*x + 26*x**3 + 16*x**3 - x**3 + 6*x**4 + 7*x + 2*x**4 + 4 in the form p*x + g*x**3 + d + y*x**2 + h*x**4 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-20)*(-10 - -16)\/18*-1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -142*z**2. Let r(c) = 141*c**2 + c + 1. Let g(h) = 2*m(h) + 3*r(h). Is g(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5 = -3*n, 21 = d - 3*n. Calculate the lowest common multiple of d and 44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44.3 + -43.3. Which is the closest to -5? (a) -5 (b) -0.1 (c) -3 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1\/8, -2\/7, -48?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 6*u = -2*u + 38, 3*u = s - 37. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 2*x. Let t(n) = -5*n**2 - 3*n**2 + 9*n**2 + 3*n. Let i(g) = -3*j(g) - 2*t(g). Let z(l) = -2*l**2. Calculate z(i(w)).\nAnswer: -2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6152762 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 11:13 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yycxxcyyy. Give prob of picking 3 c and 1 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1670609 + -44.685381.\nAnswer: -1670653.685381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*z**2 + 80*z**2 + 2*z + 58*z**2 - 185*z**2 - 343 in the form v*z**2 + x*z + p and give p.\nAnswer: -343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 6472?\nAnswer: -6474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**4 - 6 + 2*v**2 + v**3 + 26*v - 26*v in the form i + p*v**3 + z*v + o*v**2 + g*v**4 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 1)\/(1 - 6\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4046 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w**2 - 17*w - 17. Let s(d) = d**2 + 6*d + 6. Let p = 38 + -27. What is p*s(u) + 4*l(u)?\nAnswer: -u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*12\/(-50)*5. Let s be z - ((1 - 1) + -2). Let h(t) = 2*t**2 + 8*t + 13. Is h(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 8:54 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of u**4\/2 + 2*u**3\/3 + 147*u**2\/2 - 63*u. Differentiate b(l) with respect to l.\nAnswer: 12*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 1)\/((-2)\/(-18)). Suppose 2*q + 18 = -s, 0*q - 41 = 3*q + 5*s. Let z = q - b. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 190 - 2468\/13. What is the nearest to 2 in m, 2, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13597\/10 + -1364. Let s be 1 - 11026\/8 - -2. Let i = s - -1368. Calculate the common denominator of i and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**4\/5 - 114*m**3\/5 + 709*m**2\/5 - 1314*m\/5 + 144 = 0. Calculate m.\nAnswer: -120, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8742141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.07 + 8.87. Let y = 38.2 + t. Let d = -47.000058 + y. What is d rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -712 = -2*d - 5*j, j - 1424 = 96*d - 100*d. Is d a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1595838519?\nAnswer: 3, 11, 19, 848399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 5*b**2 - 3*b + 3. Let q be j(3). Let t be 2*-15*(-116)\/q. Suppose t = 4*s + s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from ffffmmfmfm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 7 = -a, a + 16 = 5*b - 1 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k**3 + 18*k - 6*k - 4*k.\nAnswer: 5*k**3 + 8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 13*m**2 + 4*m - 1. Let b be 5*((-28)\/20 + 2). Is 32 a factor of l(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20330 divided by 5\nAnswer: 4066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - 3\/(-1) - -1. Suppose -3*u + 43 = 4*x, -x + 8 = -z*u - 0. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2145 = 4*c + 11*c. Let v = 173 + c. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 15\/4 of a year?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4828 and 2108?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 x when two letters picked without replacement from zxkkkkkkzykskdk?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29461.278 hours to days.\nAnswer: 1227.55325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4193 - -7515. Suppose 5*v - 44508 = n. Suppose 2*u - 6*u - 5*i + 12813 = 0, -3*u + v = -5*i. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2803284500 rounded to the nearest one hundred thousand?\nAnswer: 2803300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 50*q**2. Let f be z(1). Suppose -12*w = -10*w - f. Let l = w + -23. Solve -5*c = -2*k + 30, -3*c - 20 = l*c for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10770*k**3 + 305*k - 2 wrt k.\nAnswer: -64620*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5*h**2 - 357\/5*h - 1044\/5.\nAnswer: -3*(h + 3)*(h + 116)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 67160 to the nearest one thousand.\nAnswer: 67000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, v: 1, p: 1, d: 1, r: 2, s: 1}. Give prob of sequence rspd.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28866207, 28866203, 28866199, 28866195, 28866191?\nAnswer: 28866187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 111683?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1035987?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2302 (base 5) to base 2.\nAnswer: 101000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 425225 and 365?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 192? (a) 1 (b) -9 (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 193051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1 + sqrt(252)))**2.\nAnswer: -192*sqrt(7) + 4048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7329 - 7193. Calculate the greatest common factor of 459 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q + 17. Calculate f(19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t - 3 - 24 + 4 = 2*f, -11*t + 12*t = -10*t - 4*f - 35 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-73*l**2 + 9*l**2 - 13*l**2)*(-11 + 28 - 11 - 4) as u*l**2 + y*l + t and give u.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 1 = 2*n. Let d(o) = 7*o + 2*o - 9 + 6*o + o**2 - n*o. List the prime factors of d(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1.7, 1\/10, 0.05?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -159*k + 104. Is z(-27) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m + 377 = 28*m + 16. Suppose 3*i - 142 = 2*b, 0 = -i - 4*b - b + 53. What is the remainder when i is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 212135 and 99.\nAnswer: 1909215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(162) + 5 - sqrt(14)\/(sqrt(112)*1))**2*1.\nAnswer: 105*sqrt(2) + 1513\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o**2 + 14*o - 54. Let i be s(18). Let b = -774 - i. Solve -3 = 2*m - 5*n - b*n, -2*n + 6 = 4*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/252 - (-1)\/7. Suppose 4*g + 3 = -5. What is the second smallest value in z, 1, g, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of h**5\/60 + h**4\/4 + h**3\/2 + 2*h**2. Let i = -9 - -2. Let d be g(i). What is the highest common divisor of d and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/48? (a) -3 (b) 1 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 8*q + 23, -16*b - 8*q - 64 = -4*q - 116 - 140 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 12:00 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.936 less than 26.197?\nAnswer: 42.133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*c + 32 - 49 - 145 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 + 35 - -5) + 13?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45 - 73*o**3 - 73*o**3 + 2*o + 66 + 148*o**3 - 2*o**4 to r*o**2 + f*o**3 + j + w*o + u*o**4 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-120)\/(-100)*(-60)\/36*(-70)\/2135?\nAnswer: 4\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 27\/980 (c) -0.05 (d) 1 (e) 5 (f) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 0 - 33 - 25*z + 10*z**2. Is q(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 10*z**2 - 24*z - 77. Let x be u(-10). Let r = x - 134. Calculate the remainder when r is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-8))\/(3\/(-6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -415*k**3*l**2*n + k**3 - 4*k**2*l*n - 9*k**2*l + 4*n wrt l?\nAnswer: -830*k**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1232 = -z - 6*z. Is 4\/(-22)*-118179 - (-16)\/z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/4 of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 1813*a - 1358. What are the prime factors of n(6)?\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1634*i + 38318 + 12993 + 18951 for i.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 5*k = 40, 1303 - 1319 = -w + 3*k for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138 = -83*s - 553 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/72377871?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 10 = -5*o, -o = 3*o + 3*w - 29. Suppose -j + o*j + 107 = 5*c, 0 = -4*j - 12. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a minute in milliseconds?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3762\/(-20710) + 27\/((-55917)\/38)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/10 of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 40.105?\nAnswer: 40.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 651650245 to the power of 1\/2, to the nearest integer?\nAnswer: 25527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2 + 102676*j + 2635590244.\nAnswer: (j + 51338)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**3\/5 - 7*w**2\/5 + 28*w\/5 - 4 = 0. What is w?\nAnswer: -10, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**5 + 16*d**4 - 195*d**3 + 500*d**2 - 468*d + 144 = 0. What is d?\nAnswer: -12, 2\/3, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-29)\/(-15))\/(21 + -50 + (18 - -10))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13894 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -0.2 (c) 2 (d) 15\/47 (e) -0.3 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2456 is divided by 613.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10921691098 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4019.4 - 4019. What is the nearest to -188 in -0.3, -1, 0, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 18*v**2 - 33*v - 20. Give k(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 40\/36 + (-1998)\/486\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -148.6 - -148.9. What is the third biggest value in 0.07, 13\/4, c?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 24 = 3*d. Let o(y) = -2*y - 12. Determine o(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1026383\/27978435 + -1\/351930. Calculate the common denominator of 23\/371 and t.\nAnswer: 6678","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 324870*b**3*x**2 - 2*b*x**3 - 201*x**3 + 10*x**2 - 6*x - 3 wrt b.\nAnswer: 974610*b**2*x**2 - 2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 30 - 6. Let p be i\/((10\/16)\/5). Suppose h - 5*h + p = 0. Does 14 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -11\/3 (b) 0.3 (c) -2 (d) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**5 + 1233*f**4 + 108330*f**3 - 11163900*f**2 - 1485171000*f - 1473900000 = 0. What is f?\nAnswer: -170, -1, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -109\/2*g**4 + 0*g**2 + 0*g - 219 + 236\/3*g**3. What is the third derivative of j(k) wrt k?\nAnswer: -1308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 t when two letters picked without replacement from {t: 1, n: 1, f: 1, l: 2, g: 1, j: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -334, -330, -300, -244, -162, -54, 80?\n\"Answer: 13*h**2 - 35*h - 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 9:42 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3602711547?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 f when two letters picked without replacement from {p: 2, b: 7, f: 2, c: 1}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, 4\/11521, -0.5, 3, 8, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -41*b - 984. Let v be z(-24). Solve -2*a + 14 + 0 = v for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -119538, -119652, -119766, -119880, -119994, -120108?\nAnswer: -120222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/6*(-12)\/(-8)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 0.0623.\nAnswer: 0.3115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - 0)\/((23\/49097)\/(-23)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + u + 258, -2*u + 504 = 4*y + 2*u. Let i = -134 + y. Let m(k) = k**3 + 7*k**2 + 7*k + 2. Give m(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12906)\/16491)\/((-1)\/23).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-23 - -1 - -1)*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -13 + 9. Suppose v*w + 91 + 45 = 4*t, -2*w = 3*t - 102. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 68 + 22)*(n + 6*n - 3*n - 2).\nAnswer: -96*n + 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -3*q + 126. Let p = 2662 + -2667. Which is the second smallest value? (a) p (b) -3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66\/9*52\/(14976\/(-54)).\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.7? (a) -2\/183 (b) -3\/4 (c) 4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - 3 + 2)*(697347 - 697347 - 1294*n) + (2 + 1 - 1)*(n - 1 + 1) + 4*n - n - n)*(1 - 1 - n) to p*n + g + s*n**2 and give s.\nAnswer: 2584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000052409208 to six decimal places.\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11 - a?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 4)*(2*y - 2*y + 2*y) - 4*y + 0*y + y + 2 + 158*y - 287*y - 67*y.\nAnswer: -195*y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35200 + -8609. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 2*f**3\/5 - 8*f**2\/5 - 126*f - 1764\/5 = 0.\nAnswer: -14, -3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(1*-2) + 15. Let s = r - 2. Let u(k) = -2*k - 4. Let f be u(-5). Calculate the highest common factor of f and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -15. Suppose 6 = 5*a - 4. Suppose 0 = j + 3*p - 31, -6*p + p + 61 = a*j. Calculate the least common multiple of l and j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-6 + 8 - (0 + 1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3862*c + 24261. Determine v(-6).\nAnswer: 1089","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 318699788 divided by -44\nAnswer: -7243177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 23 = -10. Suppose -p*u - 5*z = u + 12799995, u + 4*z = -3199996. What is u rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 + -8. Suppose 3*u + 2*j + 0 - 18 = 0, 3*j = -5*u + r. What is the lowest common multiple of (15\/10)\/(21\/140) and u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**1\/(f**(2\/19)*f))\/(f\/(f*f**(-2\/9)*f)*f**(2\/7)))**(1\/52))**45 assuming f is positive.\nAnswer: f**(2315\/6916)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301444 is divided by 2929?\nAnswer: 2686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29589230, -59178460, -88767690, -118356920?\nAnswer: -147946150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -64, -5, 1533, -52 in increasing order.\nAnswer: -64, -52, -5, 1533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1363245 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*f**2 - 11*f**3 + 8*f**2)*(-f - f + f**2 - 4*f**2).\nAnswer: 33*f**5 + 22*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/1515607 and 56\/248831.\nAnswer: 16671677","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 3*f**2 + 2*f + 3. Let a be c(3). Suppose x = t - 2 + a, -2*x - t = -26. Let s = 30 - x. List the prime factors of s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = y + 3*i - 2, 4*y + 5*i - 6 = 0. Let h(x) = 18*x**2 + 5. Is h(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-170)\/(-60) + 1\/6. Let s be i - (-4)\/(-4) - -3. Suppose 14 + 16 = s*z. Calculate the lowest common multiple of z and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156267 divided by -3.\nAnswer: -52089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -585026*b**2 + 11*b - 200390?\nAnswer: -1170052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -828 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyjyyjyyyjy. Give prob of picking 3 y.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - 143\/88*-2)\/((-39)\/(-24)). What is the closest to c in 1\/2, -0.3, -2, -25?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -44741 + 31?\nAnswer: -44710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (101400\/1521)\/((-24)\/(-18))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 6*d**2 - 2*d - 88. What is the lowest common multiple of 216 and i(-5)?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*u**2\/7 + 52*u\/7 + 16\/7 = 0. Calculate u.\nAnswer: -2\/9, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(475) - (0 + -3*sqrt(475)))**2.\nAnswer: 7600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(6)\/(sqrt(4)\/sqrt(2)) - sqrt(3)) + 1) - ((sqrt(3)*3 + -2)*6 + 1))**2.\nAnswer: -216*sqrt(3) + 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 70*x + 551. Let y be t(-61). Solve 3 + 12 = -y*m + l, 2*m + 3*l - 5 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 578236.\nAnswer: 2, 37, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -4*m. Let u = 3 - m. Suppose 0 = -3*g + k + 7, -19*g = -21*g - 4*k. Solve g*w + 26 = u*w - 5*l, -2*l = w + 9 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -14. Let z = -0.4 + q. Which is the second smallest value? (a) 2 (b) -3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223633864.\nAnswer: 2, 457, 61169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21758 - -21771.521. What is y rounded to one dp?\nAnswer: 13.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 523078493?\nAnswer: 7, 19, 3932921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffbfbfb. What is prob of picking 2 f?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -32, -36, -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3431 - -3507. Calculate the highest common factor of s and 3838.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -14, -34, -92, -206, -394?\n\"Answer: -3*q**3 - q**2 + 4*q - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29782 - 22390. Is 32 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3777, 7602, 11427, 15252, 19077, 22902?\nAnswer: 26727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 - -28. Solve 3*g = v*g + 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a - 525 + 525. Let g be v(4). Suppose 6 = 4*d - 10, 0 = -2*k + g*d + 82. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-32)\/(-2) - (-11 + -5)\/(-8). Let f = -1988 + 1990. Put 3, a, f in increasing order.\nAnswer: f, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 4*c + 3. Put -5, 3, c in ascending order.\nAnswer: -5, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 192337, 384678, 577031, 769402, 961797, 1154222, 1346683?\n\"Answer: p**3 + 192334*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280 - 1116 = -4*v. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -511 + 513. Solve -s + 15 = -5*c + 1, -s + g = -c for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28985948 is divided by 143.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -81*d**3 - 4*d**2 + 12*d + 3. Let j(o) = -157*o**3 - 9*o**2 + 27*o + 6. Calculate 4*j(f) - 9*k(f).\nAnswer: 101*f**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -85*g**2 - 15544*g + 903. Let v(d) = 170*d**2 + 31085*d - 1800. Let p(z) = -5*b(z) - 2*v(z). Factor p(h).\nAnswer: 5*(h + 183)*(17*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-6)*3 - 66937\/32. Let y = -2090 - i. Calculate the common denominator of 21\/10 and y.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = 4*m - 163. What is the greatest common divisor of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.8512 - -0.1488. Suppose 0 = -5*v - 4*w + 15, -3*v + 2*w + 9 = -2*w. Which is the closest to p? (a) -0.4 (b) -1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wxxtwtxwwwxxww. Give prob of sequence tw.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17164 - 17066 + 34230 + 438*o.\nAnswer: 438*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -210 by -3.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence viii when four letters picked without replacement from vivvivvvviviivvvivi?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1972 + -2070. Is -106 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -1376*k**2. Let c(w) = 6*w + 321. Give c(f(l)).\nAnswer: -8256*l**2 + 321","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 364704380?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(0 + 2 - 4)*(c + 2*c - 5*c)*(4 + 3 - 3).\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 4*c + 2)*(-5 + 1 + 3 + (5 - 2 - 4)*(1 - 2 + 2))*(-72 - 196 - 100) + (-2*c - 2 + 2)*(2 - 2 - 2) to the form d*c + z and give d.\nAnswer: -2940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/9 + 62*w\/9 - 961\/9.\nAnswer: -(w - 31)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 2*z - 260. Let d(f) = f**3 + 8*f**2 - 10*f + 3. Let u be d(-9). What is the highest common divisor of z and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/874503 and -131\/5830020?\nAnswer: 17490060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 114162056 to the power of 1\/2, to the nearest integer?\nAnswer: 10685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 3033113?\nAnswer: 3033121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -16*x**5\/5 - 10*x**4 - 38*x**3\/5 - 4*x**2\/5 = 0?\nAnswer: -2, -1, -1\/8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 + 10*n**2 + 4*n**2.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1094 - -1048 - ((2 - 2) + -20).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -42197*l - 2489628. What is d(-59)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2 + 13*d + 7. Let c be g(-5). Let q be 40\/6*(c - -14). Calculate the highest common factor of q and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20013 (base 8) in base 13?\nAnswer: -3970","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*u = 31*u + 131. Let m = -125 + u. Let n be 14\/(-120) + (-2)\/(-8). What is the closest to m in -2, -0.1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(114)\/(-4*sqrt(12)\/sqrt(2)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247497*g + 248582*g + 115010 = 0 for g.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2715 and 30.\nAnswer: 5430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-8))\/((-14319)\/2664)\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.57 + -0.03. Let s = z + 0.8. What is s rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 20*y + 10. Let d(o) = -21*o - 10. Let q(z) = -4*d(z) - 3*t(z). What is the remainder when q(4) is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121002123 (base 4) to base 12.\nAnswer: -4b423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.859729 - -0.140271. Let l = -10 + 6. Which is the fourth biggest value? (a) f (b) l (c) 0.5 (d) 2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/6124833 and 37\/27?\nAnswer: 18374499","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -1867*v - 13. Let r be n(3). Let f = r + 8214. What is f rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y. Let o(q) = -17*q**2. Let g(v) = 3*v**2. Let b(x) = 15*g(x) + 3*o(x). Give r(b(z)).\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 - (-23 - (-80 + 57))?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 v when two letters picked without replacement from qvvnvqqn?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**3 - 6. Let o(l) = -4*l**3 - 2*l**2 + 7. Let t(s) = 2*o(s) + 3*y(s). Let x(w) = 4*w - 29. Let b be x(8). Give t(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 5*p = 0, 2*j + p = 4*j. Suppose 2*r = -j*r - 16. Let i(t) = t**2 + 6*t - 4. Is 12 a factor of i(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 240359 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -85*h - 2. Let m be o(2). Let p = -121 - m. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*v + 13512 = -300*v - 7953 for v.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 166, 526, 3, -3.\nAnswer: -3, 3, 166, 526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of d**5\/270 + d**4\/9 - 27*d**2. Determine h, given that t(h) = 0.\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**3 + 15*v**2 - 28*v - 27. Let o(m) = -2*m**3 - 10*m**2 + 18*m + 17. Let s(j) = 5*f(j) + 7*o(j). Determine s(-7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g + 6*w + 16, 98*g = 95*g - 3*w - 33 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 44*n - 442. Let g be y(24). Calculate the highest common factor of 3211 and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.16 + 2.1678. Round y to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 (base 9) in base 5?\nAnswer: 1203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 q when three letters picked without replacement from {p: 6, v: 3, o: 1, t: 3, q: 2}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 x, and 2 l when four letters picked without replacement from ylvpyxlp.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - 7) + -7 + -10 + 18 + -16.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 27. Let f = -4 + y. Suppose -2*d + 2*j - 2 = 0, 2*d = 5*j + f - 24. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -3 (b) 1 (c) 3\/4 (d) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -4 + (-256 - 2949273\/(-11388)).\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000906 rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 27\/(-108) + (-17)\/(-4). Suppose 0 = -i*l + l. Suppose l = -d + 4*v + 54, -d = -0*d + 5*v - 9. What are the prime factors of d?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4*x - 8, -v - 11 = -x + v. Let s be 9 + 0 + -1 + 0. Solve x*b = 7*b + s for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.8 + 0.7. What is the nearest to c in -2\/5, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/54 and 67\/570710?\nAnswer: 15409170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 151080 and 121808250?\nAnswer: 487233000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 378 and 32652.\nAnswer: 685692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 3:30 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -267.3981 + 0.1981. Let k = y + 241. Let j = k + 26.200173. Round j to 5 dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10522 divided by 23\nAnswer: 10522\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -379168, -379809, -380450, -381091, -381732?\nAnswer: -382373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4525024 and 665.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -841.763*-12.7\nAnswer: 10690.3901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4 - -2) + (-201)\/30 and (-4)\/14 - 2\/(-28).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 11 = 5*x. Let n = 8 - x. Solve -a = -g - 0*g - 6, -3*a + n*g = -24 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8256447 and -73.\nAnswer: 8256374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**2 + 6 - 3 + 2*m**2 + m**2 + 1 - 1 + (-3 - 1 + 3)*(-3*m**2 + 0*m**2 + m**2).\nAnswer: 4*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 11:54 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -x**4\/4 + 7*x**3\/3 - 2*x + 2. Let v be d(7). List the prime factors of 6 - (8\/2)\/v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4\/9)*i\/i**(4\/13))**25\/((i*i\/(i\/(i*((i*i**(-2\/7)*i)\/i)\/i)))\/i**(-8)*(i**(1\/3))**(-38)) assuming i is positive.\nAnswer: i**(7493\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.16 + -0.04. Put u, 3, 1\/6 in increasing order.\nAnswer: u, 1\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 5141\/15829 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -23117439523 plus 0.7?\nAnswer: -23117439522.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 270*f**2 + 2*f - 7. Let g be k(2). Let v = 1510 - g. List the prime factors of v.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 287555 and 857690.\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + n + 2. Let t be j(2). Sort -1\/3, t, 2\/5.\nAnswer: t, -1\/3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.3, -0.08, 0.16 in descending order.\nAnswer: 0.3, 0.16, -0.08, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + b**2 + 2*b + 4. Let s be g(3). Let r(a) = a**3 + 7*a**2 - 10*a - 12. Let o be r(s). Let u be 0 + o + 8\/(-2). Solve -4*q - 27 + 7 = u for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -1087*k + 2169. Give z(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 583 and 106?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6244 by -14.\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/137394 and -73\/108.\nAnswer: 824364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 2\/5, 4\/161, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 3830281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seventeen quarters of a kilometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-54)\/15*(-3 + (-8)\/4). Suppose -3*u = w - 15. Let o(t) = -t**3 + t + 1. Let v(l) = 0 + 2*l - 3*l - 1. Determine u*o(d) - v(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/2)\/(2\/(-12)). Let m = o - 3. Suppose 0*c + m*c - 15300000 = 0. Round c to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -126 or -124?\nAnswer: -124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 0*a - a + 3*a**2 + a**3 - 2*a**2. Suppose 1 = -5*g - 89. Let y be g\/(-30) + (-16)\/10. Let l(m) = -2*m**3 - 2*m**2 + m + 1. What is y*f(i) - l(i)?\nAnswer: i**3 + i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 2*l + 4 = 0, -l + 8 = -4*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -26*i - 1. Let q(d) be the first derivative of -11*d**2 - 190. Let h(b) = 6*q(b) - 5*r(b). Let o(n) = n - 4. Calculate -2*h(j) - 3*o(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + l**2 - 2*l. Let i be r(-2). Suppose 0*b + 3*b - 13 = 5*o, 5*b = -3*o - 35. Let a = 7 + -9. Put o, a, i in descending order.\nAnswer: i, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6624, -4888, -3150, -1410, 332, 2076?\nAnswer: 3822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -2\/155 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21767121?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {t: 2, a: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 1. Suppose -7 = -3*t + 3*l + l, h*t = -4*l + 28. What is the first derivative of -15*p + 17*p + t - 1 wrt p?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -o + 4*k, 23 = -5*o + 3*k + 190. Is 17 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2860 is divided by 52?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26910 + -3122. Calculate the remainder when j is divided by 183.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1518 (base 14) in base 12?\nAnswer: 2202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9850 is divided by 82.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 584.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 3*(2 + 2*(sqrt(112) + sqrt(112)*-2))*-5)**2.\nAnswer: -6240*sqrt(7) + 101476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 686679891?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/13, -5, 1\/2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h - 2. Let z be j(2). Suppose 0 = -z*f + 261 + 23. Suppose -d = -2 - f. Calculate the remainder when d is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3734)\/(-8) + 2\/8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.535 + 0.535905. Round z to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zpztzuzvuzuvz. What is prob of picking 1 z, 1 t, and 2 u?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*r - 124 - 139 - 317 = 0 for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 divided by 79.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (227 + 255956\/(-488))*(-4)\/(-10).\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53 + 153. Suppose a = d - 9. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 13)\/(2 + -1) - (6365 + -6366).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**4 - 126885192*l**3 + 126885196*l**2 + 126885192*l - 126885194 = 0.\nAnswer: -63442597, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**5\/7 - 544*n**4\/7 + 20920*n**3\/7 - 148966*n**2\/7 - 214457*n\/7 + 343046\/7 = 0 for n.\nAnswer: -2, 1, 11, 31, 503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/2)*s*((s*s*s**(-1\/8))\/s)\/s*s*(s\/(s\/(s\/s**(-1)*s)))\/s**(-1\/4))**(-8\/3) assuming s is positive.\nAnswer: s**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -8*b - 8. What is the remainder when i(-10) is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1)\/a*a)**(-6\/25)\/(a*a*a\/(a**(-2)\/a)*a**(-1)) assuming a is positive.\nAnswer: a**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5226830 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44940*c**5 - 2861*c - 4.\nAnswer: 898800*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2816 divided by 1408?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -74*c + 2069 - 71 for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 6:29 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/21)*q**(-8)*((q\/(q**(2\/5)*q)*q)\/q)**(5\/8))\/(q**(-1)\/q**(-2\/9)*((q*q**(-5\/2))\/q)\/(q\/q**7)) assuming q is positive.\nAnswer: q**(-2789\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-29 + 20 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1144 = 146*q + 162*q - 22*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -64589, -64597, -64617, -64655, -64717?\n\"Answer: -j**3 - j - 64587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3005 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 37826, -1 in ascending order.\nAnswer: -2, -1, 1, 37826","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1780 - -1781. Suppose -5*h - 5*q = 10, -3 = h - q + 9. Let z = 8.8 + -8.6. What is the third biggest value in t, z, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*x + 19. Let u(o) = -3*o + 2. Let d(h) = -4*h + 2. Let m(t) = 4*d(t) - 5*u(t). Give m(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of p**7\/840 + p**6\/24 + p**5\/8 + 19*p**4\/24 - 17*p**3\/6 - p + 14. Let n(h) be the second derivative of b(h). What is n(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*s - 21250 + 23642 = 0 for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 6*m + 2*t - 50, 0 = 3*m + 4*t - 44. Suppose -4*n + m*n - 20 = 0. Solve 2*r = n*r - 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence de when two letters picked without replacement from bdbpbdydbpddeydjddj?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t. Let g(h) be the third derivative of -11*h**2 - 1\/20*h**5 + 0*h + 0 + 0*h**3 + 0*h**4. Determine g(p(s)).\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 5*i + 1 - 2)*(-3 + 4 + 0).\nAnswer: -5*i - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22976448 divided by 8349.\nAnswer: -2752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -317.49998854 - -317.5. What is h rounded to seven decimal places?\nAnswer: 0.0000115","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 11. Suppose z*j + j + 156 = 0. What is j rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 2*a + 5*b, 4*b = -2*a + 7*a - 196. Calculate the highest common divisor of 15 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p - 2, 5*p - 4*p = -49*x + 48*x - 14 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*w**5\/3 + 67645*w**4\/3 + 63093*w**3 + 186535*w**2\/3 + 75688*w\/3 + 3604 = 0 for w.\nAnswer: -2703, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 63 - 53. Let v be 1 + 5*4\/o. Suppose 5*j = h + 15, -v*h - 3*j = -j - 6. Solve 3*t - 6 = -h*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/37))**(1\/28)*(k*k*k\/(k\/(k**(-1\/8)\/k)))\/((k*k\/(k*k*k**31))\/k*k*k) assuming k is positive.\nAnswer: k**(63975\/2072)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 - 11. What is the highest common divisor of 42 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x - 3*x + 3*x**2 - 4 - x**3 + 3*x**2. Let r be g(5). Suppose -w - 3*w = -4*f + 28, -3*f + r = -w. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*3*sqrt(2299) - 1*sqrt(2299)*2 - -4*(-1 + 0 + sqrt(2299) + 1))**2.\nAnswer: 112651","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8537 - -8536.9993627. What is t rounded to five decimal places?\nAnswer: -0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a microsecond in nanoseconds?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 10*j + 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/259732673 or -1?\nAnswer: -2\/259732673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3299*q**2 + 98*q - 4591. Let c(x) = 3299*x**2 - 84*x + 4593. Let v(k) = 7*c(k) + 6*z(k). What is the derivative of v(f) wrt f?\nAnswer: 6598*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4364422394?\nAnswer: 2, 37, 58978681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*q = -107*q - 113*q + 55*q - 8600 for q.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, h: 2, i: 1, d: 4, q: 1}. What is prob of sequence qf?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((31\/(-620))\/(6\/15))\/(110\/(-2288))?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 191 + -108. Suppose -c - 4 = -3*i. Is 29 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 9*i - 7. Let o be 6*1 - (16 + 8 + -24). Give w(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen twelths of a day?\nAnswer: 1560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37727*u + 25955 - 8663*u - 12977 - 12978 to f + g*u and give g.\nAnswer: 29064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 0*m - w = -13, -3*m + 6 = 2*w for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 11:19 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -25 - 3 - (-294 + 308)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-64)\/96)\/(4\/30).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/3*(-63855)\/59598?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 543 + -1652\/3. Let c = 7 + u. Let h = -3 - -4. Which is smaller: c or h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-2\/7))\/(s**(-3\/2)\/s))\/(s*s\/s**(-2)*s\/((s*s**5*s*s*s*s)\/s))*s**(-1\/5)*s*s\/(s*s**(-1\/9))*(s**4*s)\/(s*s**5) assuming s is positive.\nAnswer: s**(4849\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-551 - 755 + 2301)*(m**2 - 3*m**2 + 0*m**2) in the form z*m + a + v*m**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78103 is divided by 188.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4166186116*t**2\/5 - 2452748*t\/5 + 361\/5.\nAnswer: (64546*t - 19)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 10:35 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2093436 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/9 - (-91)\/21. Solve j + 3*x + x = -4, j - t*x - 12 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -10*i**2 - 23*i - 53. Let u be f(-7). Find the common denominator of -38 and 20\/25 - u\/(-90).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16792.0142 to the nearest 100.\nAnswer: 16800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38342 is divided by 172.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -44, -63, -80, -95, -108?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2)\/m)\/(m\/(m\/((m\/(m**(-2\/9)\/m)*m*m)\/m))))**(-5\/2)\/((m**1*m)**4*(((m*m**(1\/9))\/m)\/m)\/(m\/((m*m**(-1\/4))\/m))) assuming m is positive.\nAnswer: m**(349\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/10, -5, 10\/27?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 13 + 23 - 15?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 6*m - 21 = 0. Solve 0 = -m*l + 3*b + b - 19, b = 1 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 3:20 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i + 2*i + i)*(24*i + 131 - 131).\nAnswer: -72*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 83942\/2200*(-1)\/(-9). Let m = q + -11\/900. What is the common denominator of m and 7\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7928 or 39637\/5?\nAnswer: 7928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 6:52 PM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2074 - 7*g - 1021 - 1164. Let b be h(-16). Sort 5, -2, -29, b in decreasing order.\nAnswer: 5, b, -2, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.81 and 0.05.\nAnswer: 1.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r = -11*r - 10. Suppose -5*n + 4983 = -3*k + 2*k, -5*k + r = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s. Let n(g) = -17*g**2. What is n(j(a))?\nAnswer: -68*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3847 or -3846?\nAnswer: -3846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 221 - -48a28?\nAnswer: 49149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 52, -0.1, -4\/5, 5 in descending order.\nAnswer: 52, 5, -0.1, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-54)\/(-40))\/((-1098)\/(-1464)). Let t(a) be the first derivative of -21 + 0*a**2 - d*a**5 + 0*a + 3\/2*a**4 + a**3. Find z such that t(z) = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 5*z - 1. Calculate the lowest common multiple of i(6) and (1\/4)\/((-3)\/(-12)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -3*a**2 + 0 + 1\/3*a**4 + 3\/2*a**3 + 1\/60*a**5 + 0*a. Let q be w(-7). Solve 0 = -q*v - 0*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.302 times 233\nAnswer: 769.366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 5 - f + (2 - 3 + 2)*(-1 + 1 - 2*f) + 4*f - f - f + (3*f - f + 0*f)*(0 + 3 - 5) - 3 - f + 3 - f - 2*f - f in the form h + o*f and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5104388120?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5)*c**(-1))\/(c\/((c\/c**(-4\/5))\/c)*c*c**(-4)) assuming c is positive.\nAnswer: c**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.619959 hours in minutes?\nAnswer: 37.19754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 40 = 4*c. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 less than or equal to -2090001?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 41461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -231 - -1328. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1374 + 1411.85. Let m = d - -3.35. What is m rounded to 0 decimal places?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -238.1 + 228. Let w = -10 - t. Let c = 3 - -2. Put w, -0.3, c in ascending order.\nAnswer: -0.3, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-6))\/(6\/18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 14 and 34 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -361*d + 24 = -373*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 5*u = 3*u + 24 - 14, q + 68 = -4*u for q.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2 - 10*b**2 + 30*b**2 + 18*b**5 - 19*b**2 wrt b.\nAnswer: 1080*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 8*j = 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**3 + 0 + 0)*(-5*v**2 + 2 - 2*v + 2*v).\nAnswer: -10*v**5 + 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -205, -371, -537, -703, -869, -1035?\nAnswer: -1201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 3*p**2 + 3*p - 1. Suppose -5*w - 44 + 13 = t, -5*w - 49 = 4*t. Let g(n) = -n**2 + n. Give t*g(z) + 2*v(z).\nAnswer: -2*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of k**4\/4 - 19*k**3\/2 + 411*k. Find h such that b(h) = 0.\nAnswer: 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7509\/7 + -1079. Let n = -16303\/6 + 2702. What is the common denominator of y and n?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.3829961 months to decades.\nAnswer: 0.0115249675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 534 a factor of 515005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 3*b**2 + 11*b + 12. Calculate the remainder when 22 is divided by v(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 18*p + 25. Let f be o(-8). What is the units digit of 10\/f - (-2 - 1742\/22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -8*g + 20. Suppose 4*x - i + 2*i = 13, -3*x + 14 = g*i. What is a in 5*a**3 + 2*a**2 - 2*a**x + a**3 - a**3 + a**4 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 397*o**3 - o - 9*o - 1260*o**3 + 3442*o**2 + 10*o wrt o.\nAnswer: -5178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 20*i**2 - 69*i - 16. List the prime factors of k(-21).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2146459 to four decimal places.\nAnswer: -0.2146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 197.60977 and 4.\nAnswer: 201.60977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/4 + (-2)\/8. Suppose -d + 2*d = 17. Let i = -18 + d. Put n, i, 3 in ascending order.\nAnswer: n, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3160.\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*k - 3*k. Let m be (-2)\/10 - 51\/k. Let h = 0.1 - 0.6. Which is the second biggest value? (a) m (b) h (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tkrtktrrttrtr. Give prob of picking 1 k and 3 r.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 14759\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 - -127. Suppose -9*b = -11*b + y. Suppose b + 3 = 2*i. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, r: 1, g: 1, q: 4, d: 8}. Give prob of sequence eqd.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 5*r**2 - r - 1. Let m be c(-5). Let a be (m\/(-6))\/((-4)\/18). Suppose 35 + 25 = 5*f. Solve -a*j + 0*j = f for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*j = 714 + 46. Let p = j - -43. Solve 0 = c - 2, -4*o = -p*o - 3*c + 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 3*p - 13. Determine b(-11).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 648257935 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + (-3*sqrt(38))\/sqrt(2)) + 3*((-6*sqrt(38)\/sqrt(2))**2 + -3) + 1.\nAnswer: 3*sqrt(19) + 2043","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/12345690 and 77\/1410936.\nAnswer: 49382760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 2 + 2)*(2 + 5 - 5) + 2 - 2 - g + (4*g - g - 5*g)*(-4 + 3 - 1)*(-23 - 23 + 10).\nAnswer: -149*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -12972*p**3 + 5108*p**3 + 4534*p**3 - p in the form x + z*p**2 + y*p + h*p**3 and give h.\nAnswer: -3330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p**5\/4 - 6*p**4 + 879*p**3\/4 + 297*p**2\/2 = 0. Calculate p.\nAnswer: -11, -2\/3, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10184)\/(-16))\/(-19) + (-2)\/4. Suppose 134 = -8*g + 10*g. Let u = r + g. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25451 = -640*s - 945*s - 62476 + 3922 for s.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**2 - 337*f + 17933. What is a(-211)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2951348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000131752 to six decimal places.\nAnswer: -0.000132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1821009263.\nAnswer: 109, 16706507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a. Let i(r) = -2494997*r. Give i(t(l)).\nAnswer: 4989994*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a millennium in years?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 261895 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**2 - 297*b - 3291. Give s(-133).\nAnswer: 832","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.8 + 2.9. Let g = 29.7 + -31. Let m = d - g. What is the third smallest value in 3, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -189.6 to the nearest ten.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.6 + -0.6. Let l = -0.3029 - 6.6971. Which is the third smallest value? (a) l (b) 0 (c) -3\/2 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 245778775 and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -1. Let k = 33 + -45. Is (-762)\/k - x\/6 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 0 (c) -0.1 (d) 37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5609 = 14*v - 929. What is the smallest common multiple of v and 6?\nAnswer: 2802","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**2\/2 - 11859*q\/2 + 6405282 = 0 for q.\nAnswer: -4836, 883","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1580 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 7:59 PM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-7))\/(3*(-8)\/(-12))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*q + 484*q = 295*q - 65500 for q.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/5)*q**(-20)*q**14\/q*q*q*(q**(-15)\/q*q)\/q*q assuming q is positive.\nAnswer: q**(-99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -23. Suppose d*q = 2*q + 12. Let l be 5 - q\/(-8)*-4. Solve 5*z = 3*z + l for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2*w + 68 = 0, 4*a - 27 = 5*w + 34. Calculate the least common multiple of a and 168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.03, 5, -0.2, -2\/5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 772? (a) 2 (b) 7 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 4 + 44. Suppose 294 = w + n. What is the remainder when 4\/(-24) - w\/(-12) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*b + 47*b = -60. Let p = -30 + b. What is the hundreds digit of ((-14)\/p)\/(2\/1398)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1210 (base 3) in base 6?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1740*r - 1026 with respect to r.\nAnswer: -1740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15.1 - 13.25. Let m = u + 0.15. Which is the biggest value? (a) -3 (b) 4\/5 (c) m (d) -69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1801804?\nAnswer: 2, 450451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 + (-38 - -145) + -21?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 14587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - 2*n - 18. Let j = n - -10. Let q be (-40)\/(-18) + 2 + -4. Is j < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 7.4, -1, 20, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -546 + 1040 - 494 + 2*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 991 = -14*w, 9*w + 0*m - 68 = -11*w + 21*w + m for w.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(720\/30)*6\/11.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61664594?\nAnswer: 2, 30832297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/42 + (-17)\/51?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 26*u**2 - 13*u - 13. Let k(l) be the third derivative of -l**5\/60 + l**4\/24 + l**3\/6 - 8*l**2 - 87*l. Determine a(i) + 13*k(i).\nAnswer: 13*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(84)*3)\/sqrt(12).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 12 = k, 5*o - 4*o - 8 = -5*k. Let r(j) = 2*j**2 + 2*j. Is 2 a factor of r(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0 + 2 = 0. Let c = 11837 - 11840. What is the nearest to -4 in -1, c, a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-47)\/(-5) + (-3)\/(-5). Suppose -r = 4*c - 30. Is 716\/5 + c\/(-25) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 8*l - 2 = -2*w, 3*l - 2*w + 2 = 0. Solve l = -m - 2*m + 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -132982220 divided by 419?\nAnswer: -317380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 9:02 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**3 + 6*u**2 - 4*u - 2. Suppose -16 = -2*v - 2*v - j, 2*v = -j + 8. Let g be z(v). Let r = g + 52. Solve -r*h - 2 = 8 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/22 or 0.51?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8560750 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 114389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -9, 9, -5 in increasing order.\nAnswer: -9, -5, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssssssssshhshs. What is prob of picking 4 s?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75465106.\nAnswer: 2, 37732553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 4:40 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/184 and 73\/5612.\nAnswer: 11224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -3, -420, -5, 3\/2, 34?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 4. Suppose -3*z - 15 = 3*l + 30, 2*z - 6 = l. Which is the smallest value? (a) -0.1 (b) u (c) z (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8\/21, -17, 14?\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58.9 + -59.258. Let a = 228.388 + -230. Let y = a + w. What is y rounded to 1 dp?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 296965140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -245522 (base 9) in base 3?\nAnswer: -21112120202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -6, 44, 146, 318, 578?\nAnswer: 944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2955*v + 2951*v = 52, 2*t - 3*v - 39 = 0. Let x(m) = 4*m - 1. Let n be x(7). Suppose 2*g = -g + n. Solve -2*i - i + g = t for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 103*y**2 + 21*y. Calculate k(-2).\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + sqrt(208)).\nAnswer: -8 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 60 (b) -2\/9 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*j**5 - 444411*j**2 - 113983745*j wrt j?\nAnswer: 400*j**3 - 888822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-36))\/((-32900)\/(-14805))?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (7 + (-3 - (1 - -3)) - 3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, -14, 0.3 in descending order.\nAnswer: 0.3, -1.1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -382 (base 9) to base 3\nAnswer: -102202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, y: 6, p: 4, j: 6}. Give prob of picking 1 y, 2 j, and 1 i.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 9*t**2 - 623*t - 3374. Determine r(73).\nAnswer: -892","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.029 - -0.141. Let o = k + -0.88. What is o rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.04 (b) 2033 (c) -0.74 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 162680?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, g: 1, y: 2, z: 2, h: 4, s: 1}. What is prob of picking 1 z, 1 s, and 1 h?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w - 50*w**3 + 97*w**3 + 0*w - 52*w**3.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**6)\/z*z*z*z**9)**(-22\/9))**17 assuming z is positive.\nAnswer: z**(-6358\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 6:26 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39936 and 71936.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1755)\/(-225) - (-15 - (-12788)\/(-115))\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-16))\/(3450\/(-2760))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -44, -48, -54, -62?\n\"Answer: -a**2 - a - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 3*a = 60. Suppose a = -3*y + 134. Suppose -r + 5*r = 40. Calculate the remainder when y is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*5\/(-130))\/((-5)\/(-5))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1825256513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -20. Let n = g - 9. Put n, 2, -0.1 in decreasing order.\nAnswer: 2, n, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -227*u**9\/84 - 17*u**5\/60 - 2*u**2 + 249*u. Find the third derivative of g(c) wrt c.\nAnswer: -163440*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b85 (base 15) in base 14?\nAnswer: d3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 0 - 13 + 8*p + 9*p**2 - 8*p**2. Let a be w(-10). Suppose -11*y + a*y = -160. What is the remainder when y is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q - 175 = -7*q. Which is the closest to -1? (a) 0 (b) q (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2 + 25*u - 294. Give n(7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 12, r: 1, t: 7}. What is prob of picking 2 t?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 89088 and 4672?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 16 + (-7 - -6) + -2 + -3\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 115353327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l*o**2*t + 6*l*o**2 + 30*l*t**2 + 27*o**2*t**2 - 4*o**2*t + 23*o**2*v + 2*t**2*v wrt t.\nAnswer: 60*l + 54*o**2 + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 524 is divided by 261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 159*i**2 + 351 - 351 to the form t + h*i + n*i**2 and give n.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 341*y = 336*y + 7, -3*y = -13*m - 45 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 8:15 PM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b + 6. Let k = 33 - 29. Calculate y(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 5 - (1 - 3 - -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17316934 less than 0.267?\nAnswer: -17316933.733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26336401.\nAnswer: 7, 13, 167, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**2\/9 + 7726*r\/3 + 1920264 = 0.\nAnswer: -10788, -801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1036461 (base 8) in base 3?\nAnswer: -112010002020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/21182 and 17\/431116.\nAnswer: 7328972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -1 (b) -1\/4 (c) -2 (d) 12.806 (e) -82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -10*i**2 - 10*i + 0*i + 3*i. Suppose -4 = 4*n - 3*w, 2*w + 32 = -4*n - 2*w. Let y = 1 - n. Let r(x) = -7*x**2 - 5*x. Give y*u(m) - 7*r(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6294 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: Simplify (a\/a**(1\/4))**44 assuming a is positive.\nAnswer: a**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-4\/7)*m*m*m)**(-2\/5) assuming m is positive.\nAnswer: m**(-48\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (9 - 3) + 1 - (-4 + 9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**5\/4 + 7*s**4\/4 + 2*s**3 - 4*s**2.\nAnswer: s**2*(s - 1)*(s + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 31 + -755?\nAnswer: -724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1804868 at least 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 6*m = -100. Suppose 5*d = -5 - m. Is d greater than or equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from myccnclc. Give prob of picking 1 m and 1 y.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 137, 160, 207, 284, 397, 552?\n\"Answer: d**3 + 6*d**2 - 2*d + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -3790.76 to the nearest 10.\nAnswer: -3790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230098 is divided by 46003.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2 - 4 = 0, -13 = x + 5*q. Let n = x + 71\/4. Let w = -31\/5 - -98\/15. Which is the nearest to n? (a) 0.3 (b) w (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2. Let g(u) = -14551336*u. Give g(m(l)).\nAnswer: -29102672*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -1\/2*q**3 + 0 + 5*q + 3\/2*q**2. Let o = -194 + 189. Let j(u) = -u**2 - 5*u + 5. Calculate o*b(w) + 3*j(w).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -102, 5, -4, 10, -2\/21 in increasing order.\nAnswer: -102, -4, -2\/21, 2\/3, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 5*d**2 - 20*d = 0?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/2, -0.2, 19, -0.3, 78, 238.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/((-16)\/(-345612))*(-92)\/69 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -10 + 2 - (-2 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-14)\/9)\/((-42)\/315) - 36\/(-27). Solve -p = 2*w - 7 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 908.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*sqrt(153))\/sqrt(9).\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (138*h - 23*h + 84*h)*(-2*h**2 + 15*h**3 - 18*h**3 + 1 + 0*h**2 + 2*h) in the form n + m*h**2 + v*h**3 + q*h**4 + p*h and give v.\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -325, 370, 1533, 3170, 5287, 7890, 10985?\n\"Answer: s**3 + 228*s**2 + 4*s - 558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 96*l - 1894. What is d(-30)?\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -1907*r + 1. Let f(g) = 637*g. What is 7*f(j) + 2*l(j)?\nAnswer: 645*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1173, 2\/11, 2, -1811?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.105 - 0.005. What is the fourth biggest value in -3, -0.5, -1.1, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 196889 to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-22 + 9 + (-12 - -15))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1524682459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r - 7*r**3 + 3*r**3 - 2484 + 587 - 2314.\nAnswer: -4*r**3 - r - 4211","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.6*0.006.\nAnswer: 0.0096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6248 divided by 1562?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 284 - 64 = q, 0 = -5*b - 2*q + 354. Suppose 0 = -5*o - 0*o + b. Calculate the remainder when 39 is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 + 16. Let n = -0.07595 - 17.95205. Let k = v - n. What is k rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2031011110 (base 4) to base 7\nAnswer: -4624525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, d: 4, l: 5, e: 2}. What is prob of picking 1 f, 2 e, and 1 d?\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -26*q**3 + 16*q**2 + 27*q + 9. What is x(-2)?\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251*c = 248*c + 3. Suppose 3*g - 6 = 3. Let v be 3*((-7)\/g + 1). What is the nearest to c in -1\/4, v, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112.74614326 minus -0.33?\nAnswer: 113.07614326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284 is divided by 34.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 208388 to the power of 1\/2, to the nearest integer?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**5 + 5*h**4 + 3*h**3 - 9*h**2 + 4*h = 0. What is h?\nAnswer: -4\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u**2 - 2*u - 1. Let f = 11 - 13. Let m be 0 + 0 + f\/(-1). Does 4 divide n(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 179 - 178.8. Let u be (1\/(-2))\/(1\/(-36)). Let t be (9\/u)\/(2\/(-4)). What is the third smallest value in -2\/5, t, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 0 - (-250 - -259)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*q**3 + 29*q**3 - 5*q**2 + 5*q**2.\nAnswer: 38*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r - 3. Let n be 0\/1 - 0\/4. Suppose 0 = -3*i + 15, n*g - 3*i = 2*g - 15. Let o be -6 - -6 - (4 - g). Determine t(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3099425904 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 - 46.18?\nAnswer: -47.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 9 + 9 = 0. Let a = p - -13. Let f = a - 0. Calculate the least common multiple of f and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r + 3*r - 3*r)*(-5 + 1 + 2)*(-3 - 6 - 18)*(3*r - r**2 - 3*r) to c*r + f*r**3 + w + n*r**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 34740.45us in minutes?\nAnswer: 0.0005790075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19563551 and 1181691.\nAnswer: 176071959","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -117*p**2 + p + 2. Calculate l(-1).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 6*o - 11 = 0. Let l = 2 + 12. Suppose 4*i - o = h, l = 5*i - 2*h + 4. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 10*g**2. Let f(q) = -q**2. What is 60*f(u) + 5*y(u)?\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1023652 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200*s**2 + 221*s**2 - 331*s**2 + 4*s**3 - 2*s**3 - 339*s**2.\nAnswer: 2*s**3 - 649*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 33872076 or 33872077?\nAnswer: 33872077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 3*u = -2*f + 142, 0 = f + 5*u - 57. Suppose -4*d + 111 + f = 0. Let b = d - 14. What is the smallest common multiple of 24 and b?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2489 - -2669. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 23*t**8\/28 - t**6\/10 - 53*t**4\/6 - 3*t - 1. What is the third derivative of p(j) wrt j?\nAnswer: 5520*j**3 - 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*d - 976 = -864. Let n(b) = -b**2 + 4*b + 2. Let p be n(5). Sort p, 0, d in descending order.\nAnswer: 0, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 752485 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5356 and 803073284?\nAnswer: 5356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of m**4\/12 - 2*m**3\/3 + 4*m**2. Let a(t) be the second derivative of -11*t - 11\/2*t**2 + t**3 + 0. Give -3*a(l) + 8*o(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -48*h**5\/5 + 142*h**4 - 356*h**3\/5 - 2584*h**2\/5 + 336*h = 0?\nAnswer: -15\/8, 0, 2\/3, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of z + 0*z**3 - 33\/2*z**2 + 1\/20*z**5 - 8 - 3\/4*z**4. What is the first derivative of d(g) wrt g?\nAnswer: 3*g**2 - 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 353556980 to the nearest 100000.\nAnswer: 353600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1172 + 1171.990308. What is g rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4400284 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1331) + (0 + sqrt(1331))*-5 + (sqrt(1331) - 1*(sqrt(1331) - sqrt(1331)*-1)) + sqrt(1331) - (sqrt(1331) + sqrt(1331) + 1)*6*-3))**2.\nAnswer: 114048*sqrt(11) + 12269412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -108927?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 3, -0.5, 0.8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -4*i**3 - 86*i**2 + 39*i + 122. Calculate w(-22).\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 0. Let h = -39\/7 - -163\/28. Let y be 0\/(-5) + -2 + 1. What is the closest to h in n, -5, y?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 6*i**3 - 30*i**2 - 63*i - 2. Determine r(-2).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*z + 68 = 15, 3*o + 5*z - 47 = 0. Let h = 400 - 253. Calculate the remainder when h is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 441414?\nAnswer: 2, 3, 137, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 2:17 PM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 211277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-63)\/(-42)*(-11)\/((-99)\/60)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0561652 rounded to 4 dps?\nAnswer: -0.0562","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - q - 1. Let t(f) = -21*f**3 + 4*f**2 + 31*f + 4. Let z(v) = -t(v) - 4*x(v). Let y(m) = -3*m**3 + 4*m. Give 27*y(k) + 4*z(k).\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -78866, -78838, -78804, -78770, -78742, -78726, -78728?\n\"Answer: -g**3 + 9*g**2 + 8*g - 78882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - o + 2. Let p be r(2). Let z = p + -2. Suppose -7 = 5*i - z. Which is smaller: i or 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72\/(-21)*63\/(-6) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from hhhhhjjjhxhjhjx?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 465731 is divided by 116?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/1484 and 51\/3710?\nAnswer: 7420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**3 - 8*n - 56. Let b be g(-5). Calculate the greatest common factor of 54 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 - 2242 = -25*v. Suppose -99*u = -v*u - 140095. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -428*p**2. Let b(g) = 719*g**2. Give t(b(v)).\nAnswer: -221259308*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5*b = -42 + 46, -4*w + 38 = -2*b. Is 58\/7 less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8.9 + 7.6. Put -2, a, 1\/13 in descending order.\nAnswer: 1\/13, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/5 - 90404*w\/5 - 1021610402\/5.\nAnswer: -2*(w + 22601)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 68*i - 66*i - 20, i - 2 = 4*u. Factor -224\/3*d - 4\/3*d**3 + 208\/3 + 68\/3*d**u.\nAnswer: -4*(d - 13)*(d - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(143)*2 + sqrt(143))*1 + sqrt(143))\/sqrt(11) + 5.\nAnswer: -4*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 35565.33 years in decades?\nAnswer: 3556.533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sggt when four letters picked without replacement from {t: 9, g: 2, s: 7}?\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9*(-10)\/15 + (1922\/240 - 2). Let o(b) be the third derivative of -5\/6*b**3 + 0 - y*b**6 + 10*b**2 - 1\/12*b**5 + 0*b - 1\/12*b**4. Give o(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10740 = -162*m - 3518 + 3146. Suppose -3*n + 0*n = -192. Let r(h) = -n - 16*h + m. Let z(q) = 2*q**2. Give z(r(g)).\nAnswer: 512*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**14*f*f**(10\/3)*f*f*f)\/(f**14\/(f\/(f*(f*f\/(f*f**(3\/11))*f)\/f))) assuming f is positive.\nAnswer: f**(251\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lleleeee. What is prob of sequence elee?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of 1\/8*k**4 - 3*k**2 + 0 + 1\/3*k**3 + 0*k + 1\/20*k**5. Let u(m) = m**2 + m + 1. Determine -2*u(w) + y(w).\nAnswer: w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2052 + -2048. Let r = 4.3 + -4. Which is the nearest to 1? (a) 0.09 (b) r (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2. Let j = 78 + -96. Let q be t(j). Factor 80*i**2 + 180*i**3 - 64 - q*i**2 + 15*i - 303*i - 25*i**4.\nAnswer: -(i - 4)**2*(5*i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12450 divided by -6?\nAnswer: 2075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 + 916*r - 916*r + 10*r**3 + 0*r**2.\nAnswer: 10*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 2*i + 0*i + 0*i + 3*i**2. Does 5 divide t(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 22\/(-4)) + ((-132)\/(-6) - 27)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1895 (base 14) to base 8.\nAnswer: 10533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 50 = 5*n, 17 = -2*n + 5*n + 5*r. What is the least common multiple of n and ((8\/(-3))\/8)\/((-25)\/(-30) + -1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1175473.18516 - 0?\nAnswer: -1175473.18516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/(-2))\/(11\/(-22)). Solve -h = -x + 4*x + t, -3*h - 2*x - 6 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8325, 33306, 74941, 133230?\nAnswer: 208173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**3 + 4*g**2 + 3*g + 1. Let r = 5 - 3. Suppose -3 = 3*c - 3*z, -4*z = r*c - c + 6. Give w(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 + -39.00000058. Round q to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kxkxxxxxxxk. What is prob of picking 4 x?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k - 996 + 1076 = 0 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 255\/(-400)*-2*(-50)\/(-30).\nAnswer: 17\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - 11. Let p(z) = -z - k*z + 1 + z. Let r(x) = x - 15. Let t be r(13). What is p(t)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 401981669?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 15) to base 11.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -2, -0.3, -35, -11, 268?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -1.106?\nAnswer: -0.2212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -3*x - 23, -2*o + 3*x - 1099 = -1110 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 1 + 14*m + 6*m + 6*m - 3*m**2 + m**2 to a + r*m + y*m**2 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 2*p = 8, -6 = 2*o + 5*p. Find the second derivative of -208 + 90 - 2*d + 173*d**2 - 6 - 28*d**o wrt d.\nAnswer: 290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -112589\/4 - -28142. What is the third smallest value in -13, d, 0, 5, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 3:15 PM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*m = -2276 + 2540 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 1\/3, 2, -2, 127?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 675 and 1570378360.\nAnswer: 1570379035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 3:52 AM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16\/7 in -0.1, 2, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3827, 4 in decreasing order.\nAnswer: 3827, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0178? (a) 15 (b) 1.6 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -498947010 - 8.901\nAnswer: -498947018.901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -16*v + 58. Let o(i) = 32*i - 118. Let y(s) = -2*o(s) - 5*r(s). What are the prime factors of y(13)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21095.4 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -2\/11, 3, 1, 5, -5, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 283, 309, 335, 361, 387?\n\"Answer: 26*j + 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -8. Suppose -8 = -d - k*i - 2, 0 = 5*i. Suppose -2*x = d, 2*h - 4*x + 0*x = 18. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 484548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1239*n**4 - 7*n**3 - 9986*n wrt n?\nAnswer: 14868*n**2 - 42*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2. Let c be z(2). Suppose m + c*j - 1283 = 0, -m + 1297 = -2*j - j. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 96 + -97. What is the second biggest value in -14\/9, i, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -5\/42*b**7 - 7*b + 0 + 0*b**6 + 0*b**5 + 1\/6*b**4 + 0*b**2 + 0*b**3. Find the third derivative of l(p) wrt p.\nAnswer: -300*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*j**2 - 2696 - 1570*j + 2704 + 1587*j to h + w*j + r*j**2 and give r.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 39888.\nAnswer: 39888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 330155?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - ((-1 - 0) + 26 + -1). Let r = 28 + s. Calculate the greatest common factor of 12 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 5*o - 555, -w = -o - 3*o + 423. Calculate the remainder when o is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -581d - 9?\nAnswer: -5828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 10*j**2 + 15. Let l be i(-10). Suppose 0*f = f + t + 13, -2*f + 3*t = 1. Let m = f + l. What is the highest common divisor of 63 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2879, -5, 3, -3 in decreasing order.\nAnswer: 2879, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y - 284 + 573 - 289.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -128 (base 12) to base 13\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -141, -223, -293, -363, -445, -551?\nAnswer: -693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**2\/6 + 126*x + 23814 = 0 for x.\nAnswer: -378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 24 = 266*b - 270*b, -3*u + 1 = b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/2 - (-91)\/(-104). Let y = 35 + -5. Suppose 6*g - g = y. What is the second biggest value in q, -3, g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) 4 (b) -749 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1632 divided by 2\nAnswer: 816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q + 77*q + 52 = 1372. Solve -4 = -2*s + 2*n, 5*n + q = -5*s - 35 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t + 1536. Let m(x) = -12*x. What is m(r(h))?\nAnswer: 48*h - 18432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q - 17. Give t(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/1382661 and -113\/25348785?\nAnswer: 76046355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88, -97, -106, -115, -124?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 882022019.7 and 854.\nAnswer: 882022873.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**4 - 9344*l**5 + 9435*l**5 + 167*l + 53*l wrt l?\nAnswer: 1820*l**3 + 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 122640 - -2?\nAnswer: 122642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 101111101000010111?\nAnswer: 101111101000010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 1\/4 (b) -42 (c) -4 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12480*c*d**2 - 43*c*d + 25*c + 2*d wrt d.\nAnswer: -24960*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-24))\/(174\/348).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1582735633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -271330 * 2\nAnswer: -542660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l**5 - 344*l**4 + 196*l**3 - 1403057*l**2 wrt l.\nAnswer: -60*l**2 - 8256*l + 1176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 4:23 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 10:47 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 39832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-21)\/(-622))\/(-7)*(-20)\/1245. Let v = u + -4362457\/774390. Find the common denominator of 113\/6 and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -33, -41, -53, -69, -89, -113?\n\"Answer: -2*z**2 - 2*z - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/25 + (-31)\/(-5). List the prime factors of 5575\/35 + c\/(-21).\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -96198 divided by 8\nAnswer: -48099\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17897845 is divided by 17897778.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 403*j - 7060*j = -79884 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b - -1?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**4 + 0*i**4 - 4*i**4 + (-2*i + 5 - 5)*(0*i**3 + 2*i**3 - 4*i**3) - 2*i**4 + i - i + 4*i**4 - 2*i**2 + 2*i**2.\nAnswer: 5*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 4 - 4 - (2 + -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0.3, 0.1, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three quarters of a litre?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 9*s - 3. Let i = 10 + -18. Let t be q(i). Let b = 4 - t. Which is smaller: -2\/3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 48.1092.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10803 + 1?\nAnswer: -10802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 276 and -0.225.\nAnswer: -62.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*t**3 + 14 - 14*t - 19 - 3*t**3 to d*t + y*t**2 + k*t**3 + r and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(98) + 1 + 0 - (sqrt(98) - (3 + 2*sqrt(98))))*-6 + sqrt(98)*-2*3*1*-5)**2.\nAnswer: -6048*sqrt(2) + 32325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/(sqrt(20)\/sqrt(5)) - sqrt(85)\/(sqrt(5)*1))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 11.2 - 63\nAnswer: -51.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-5) + 1)*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2652 - -2652.4. What is the closest to -9 in -19, 4, 3\/7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -5 + -4 + 6 + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/826 and -31\/812?\nAnswer: 47908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 224\/3472 - (-256)\/(-124). Sort -1, 0, x, -411.\nAnswer: -411, x, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23*(-4)\/90 - (-4)\/(-18).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4537*y**3 - 4*y**2 - 8*y + 2812. Let m(c) = -4537*c**3 + 3*c**2 + 6*c - 2812. Let g(h) = -3*f(h) - 4*m(h). Find the first derivative of g(r) wrt r.\nAnswer: 13611*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**2 + 21*s + 26. Let y(j) = 3*j**2 + 31*j + 39. Let l(h) = 7*f(h) - 5*y(h). Let d be l(-5). Determine c, given that 4\/13 + 6\/13*c + 2\/13*c**d = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((3*sqrt(156)*-2 - sqrt(156))*-1*2)\/((-1*sqrt(216))\/(-3*sqrt(18))).\nAnswer: 42*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 - -56. Suppose 136 = 5*a + v. Calculate the remainder when a is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 690 + 1243. List the prime factors of o.\nAnswer: 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -2. Let w = -4 - t. Is w <= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + 0 + 0)*(3 - 5 - 4)*(1 + 3 - 3).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9647 (base 12) in base 15?\nAnswer: 4d31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-7)\/j**(2\/19))\/(j**6\/j**(1\/11)) assuming j is positive.\nAnswer: j**(-2720\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of -z**6\/4 + 74*z**5\/15 - 355*z**4\/12 - 50*z**3\/3 - 247*z**2. Factor o(r).\nAnswer: -2*(r - 5)**2*(15*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 207\/736*(-4)\/(-6)\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 32*l + 12. Does 15 divide k(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*c = 0. Let r be (-19)\/(-27) - (-8)\/(-12). Which is greater: r or c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (-2 - 1*-7). Let s(r) = 3*r**3 - 7*r**2 - 18*r - 20*r - 75*r + 118*r - 2*r**3. Calculate s(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i - i + i + (1 - 2 + 0)*(0*i - i + 3*i) - 4*i + 2*i + i + (-1 + 0 - 1)*(-4 + 4 + i) - i + 0 + 0 + i + 5*i + 0*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 152 - 2*g**4 - 72 - 81 - 3*g**3 in the form b + a*g**3 + s*g + v*g**4 + z*g**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -1. Let c = 15 - x. Suppose 9*t = 7*t + 252. Calculate the greatest common factor of t and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -1\/12*z**4 - 13*z**2 - 1\/150*z**5 + 0 + 0*z + 0*z**3. Find w, given that b(w) = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3 + sqrt(117)*-1 - (0 + -2*sqrt(117)) - (sqrt(117) + -6*(1 + sqrt(117)) + (sqrt(117) + 1 + sqrt(117))*-2)) + 2)**2.\nAnswer: 23040*sqrt(13) + 425296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**2 + 4*f - 4. Let d(a) = 9*a**2 - 15*a + 15. What is -15*c(b) - 4*d(b)?\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29784 + -29779. Which is the closest to 1? (a) 0 (b) 4 (c) 135 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 10*d - 9. Calculate v(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 6*m + 20. Determine p(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4056507917 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 5 + -3 + -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 a factor of 117000192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -117 by 46837.\nAnswer: -117\/46837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 39169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9381836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 784529 to the power of 1\/2, to the nearest integer?\nAnswer: 886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02131508 rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((2*(4 - 3))\/(-1))\/(-1). Solve y - g = 3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21144 - 1041?\nAnswer: -22240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6042 (base 13) to base 3\nAnswer: 200011020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405)*-1)**2 - sqrt(405)) + -2 - (sqrt(360)*-5)\/sqrt(8).\nAnswer: 6*sqrt(5) + 403","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, o: 6, h: 2, u: 1, t: 2, l: 4}. Give prob of sequence so.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pww. What is prob of picking 1 p and 1 w?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 196.5 - 195.5. Sort -0.1, -18\/5, -0.3, b, -1\/8.\nAnswer: -18\/5, -0.3, -1\/8, -0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4*y**2 + 5*y + 7. Let l be (-1 - (-49)\/28) + (-26)\/(-8). Suppose -51 - 33 = -l*h. Let k(c) = 20 + c + 0*c - 2*c - h - c**2. What is 5*k(f) + p(f)?\nAnswer: -f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.4111 - -0.5889. Which is smaller: 0.01979 or f?\nAnswer: 0.01979","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.39 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(108) + -5 + sqrt(108) + sqrt(108) + sqrt(108) + -3)**2 + (sqrt(33) + (-2*sqrt(1188) - sqrt(33)))\/(2*sqrt(176) - sqrt(176)).\nAnswer: -1155*sqrt(3) + 5376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 107246 = -2*c - 3*c, 0 = -4*m + 5*c + 142988. List the prime factors of m.\nAnswer: 2, 3, 7, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.13445 * 5\nAnswer: -0.67225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of 2*m**3\/3 - 9*m**2\/2 + 2*m. What is the remainder when 44 is divided by d(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 11:19 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {s: 4, j: 6}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/3)\/((-7)\/63) - -58. Let m = 12 + -7. Suppose -m*k - 5 = -d. What is the remainder when 37 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 39*t**2 + 4*t - 115. Let g(o) = -79*o**2 - 7*o + 227. Let b(h) = -11*d(h) - 6*g(h). Find the second derivative of b(s) wrt s.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3 = n, 3*m - 10 = 4*n - 2. Let a be (-44)\/6 + m\/(-6). Let u = 6 - a. Calculate the least common multiple of u and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 - -622*(-233)\/(-20). Let m = -7233 + s. Find the common denominator of m and 1\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 322 + 4 = -5*r, -j = 4*r + 244. Let y = 69 + r. What is the second derivative of 24*k + 16*k**4 - y*k - 11*k**4 + 19*k**4 wrt k?\nAnswer: 288*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j + 4. Let y be r(3). Suppose d - y = -1. Calculate the remainder when d is divided by 24\/(-60) + (-37)\/(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*2 + sqrt(171) - sqrt(171))\/sqrt(9) + sqrt(19) + 2.\nAnswer: 2 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fjjfjff. What is prob of picking 2 j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 72*c + 283. Let a be n(-6). Let u = -145 - a. Factor 0 + 0*p + 0*p**2 - 4\/7*p**u + 4\/7*p**3.\nAnswer: -4*p**3*(p - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.31 + 4.61. Let n = 0.1 - 0.3. Which is the second smallest value? (a) n (b) -0.08 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 5, p: 8}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, 32766, -69 in ascending order.\nAnswer: -69, -46, 32766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 9*q**2 + 16*q - 4. Determine i(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 723756139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/20)\/((-5)\/(-4)*(-366)\/(-610)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*a + 4*c + 3, -2*a = -4*c - 22. Solve -5*i - 2*m = m + 14, -2*m = a*i + 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -7, 4\/7, -0.08?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-9.718.\nAnswer: -9.718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -446, -889, -1332, -1775, -2218, -2661?\n\"Answer: -443*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 783806.1 litres?\nAnswer: 783806100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -225 + -15517?\nAnswer: -15743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -673*g - 51 = 2*w - 670*g, 2*w = -6*g - 102 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6561161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3 + -3*sqrt(288) - sqrt(288)) + 0)*3)**2*-4.\nAnswer: -166212 + 10368*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(2\/3))**34\/(k**0)**22)\/((k*k\/(k\/(k\/(k*k**(-1)\/k)))*k)**(-4)\/(k**(-2\/7)\/k)**(20\/3)) assuming k is positive.\nAnswer: k**(1346\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4504 and -9.272.\nAnswer: 41761.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.02 or 0.16?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d - 13. Let y(h) = -h + 12. Let b(j) = 2*r(j) + 3*y(j). Let f be b(7). Suppose -4*a + 93 = -f*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*k - 2*k + 3*k + (-4 - 1 - 3)*(-k + 81 - 81))*(6 + k - 6) - 2*k**2 + 4*k**2 - 3*k**2 in the form l*k**2 + w*k + m and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2417399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/180)\/(-1 + (-51)\/(-15)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 105 - 96. Suppose 51 = -w*l + 12*l. Let s = 27 - l. What is the remainder when s is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -67134.86 to the nearest 100.\nAnswer: -67100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3324789222?\nAnswer: 2, 3, 554131537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3*q - 4, -12 = -2*r + 3*q. Find the second derivative of -o**4 - 873 + r*o**4 + 65*o**3 - 36*o + 21*o**3 + 871 wrt o.\nAnswer: -12*o**2 + 516*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(72)*-1)**2 - sqrt(72)) + (sqrt(72)*-2)**2 + 0 + (-1 + (sqrt(72) - sqrt(72)*-2) + -4 + sqrt(72) + 2)**2 + 1.\nAnswer: -150*sqrt(2) + 2098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1478 is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2579406005?\nAnswer: 5, 11, 17, 250793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -108*x + 111*x - 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/132444 and 32\/1092663.\nAnswer: 4370652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2\/37, -44, 12, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -5*a + c - 2*c, 5*c = 3*a - 39. What is the remainder when 13 is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00012590659 to six dps.\nAnswer: 0.000126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 512*c - 26. What is o(1)?\nAnswer: 486","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5467577007.\nAnswer: 3, 541, 3368809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - f**2 - f - 1. Let l(t) = -6*t**3 - 5*t**2 - 4*t - 5. Let g(d) = -5*i(d) + l(d). Factor g(v).\nAnswer: -v*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 20.36246ml?\nAnswer: 0.02036246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -70, -107, -144?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1252260 (base 7) to base 8.\nAnswer: 500376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + -18 + -49 + -5 + 12 + -1?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -26 - 6. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*(-5)\/(105\/(-6))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1071 + -14654?\nAnswer: -13573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3\/7 - 7289900*a**2\/7 - 29159664*a\/7.\nAnswer: 4*a*(a - 1822479)*(a + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**4\/3 + 2848247*i**3\/3 - 5696485*i**2 + 8544723*i = 0.\nAnswer: 0, 3, 2848241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 341 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v + 0*v + 0*v)*(1 + 0 + 0)*(-3*v + 3*v + v)*(-4 - 5 - 2).\nAnswer: -44*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -10*v + 29. Solve -v*b - 2*d + 21 = 4, 5*b - d = 14 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (-2 + (2 - 3)). Suppose 3*p - d*y - 931 = 0, 0 = -p - 4*p + 3*y + 1541. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*u - 284 = -28 + 401 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2 + 6*n. Let c(i) = -i. Let a(k) = -6*c(k) - d(k). Let u(p) be the second derivative of p**4\/3 - 3*p. Calculate a(u(z)).\nAnswer: 32*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 5:00 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - -221.6.\nAnswer: 221.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 7*f - 1. Suppose -3 = -3*t + 12. What is the tens digit of d(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**3 + 8*a**2 - 19257*a - 57773. Give y(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - r**2 + 1. Let h(v) = 2*v**3 - 16*v**2 + 24*v - 31. Let d(n) = h(n) - w(n). Let m be d(13). Let p = -19 - m. Is 6 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2813479*w**3 + 1611480*w**2?\nAnswer: -16880874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 64062421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + j = 24. Let i = 1 + j. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 86 + -163\/2. Which is the third biggest value? (a) o (b) 5 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 21 = -123. What is the greatest common factor of o and 8891?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.073*14.004\nAnswer: -1.022292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**12*f*f)\/f**(-8)*(f*(f*f**(-18)\/f*f)\/f*f)\/f*(f\/(f**21*f))\/f)**(12\/7) assuming f is positive.\nAnswer: f**(-204\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92066 is divided by 3533?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -47080000 to the nearest 1000000.\nAnswer: -47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -118, -202, -244, -244, -202?\n\"Answer: 21*f**2 - 147*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 417608*s**3 + 6*s - 926?\nAnswer: 2505648*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of 0*y**3 + 0*y**4 - 1\/15*y**5 - 2*y**2 + 0*y + 0. What is p in q(p) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o**(2\/13))\/o)\/o**5)\/(o**(-3\/11)\/((o*o**(-1\/4)*o)\/o)) assuming o is positive.\nAnswer: o**(-1615\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3615947799.\nAnswer: 3, 1205315933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 340 - 301. Calculate the remainder when 1089 is divided by s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3352383426 divided by -6.\nAnswer: 558730571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2 = 2*x, 0 = -2*x + 5*s - 1. Put x, -7, 148 in increasing order.\nAnswer: -7, x, 148","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1563\/5495 + -1\/785. Suppose 4*f - 44 = -4*r, -f = -2*r - 2*f + 19. Let k be 2\/(-4)*(1 + -1). Which is the closest to r? (a) i (b) k (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -42, -5, 5, -10 in increasing order.\nAnswer: -42, -10, -5, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qozqhh. What is prob of sequence oqq?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 0 - 2 - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 + 7.2. Let s = r - 6.9. What is the third smallest value in -0.1, 0.4, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + o - 15, 3*o = 4*b - 109. What is the remainder when b is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1, 0, -7, -22, -45, -76?\n\"Answer: -4*k**2 + 13*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bjy when three letters picked without replacement from {w: 1, b: 1, p: 1, u: 1, y: 2, j: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 409 + (-51)\/(-34)*16\/6. Round o to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 12.7. Which is the third smallest value? (a) 1\/9 (b) 3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 3:46 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 121*p + 254. Let q be l(-2). Let n(d) = -35 + 2*d + 6*d + d. Is n(q) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4740.66346 to zero decimal places.\nAnswer: -4741","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/7, 4, -570, 7087?\nAnswer: -570","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 371831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/16 - (585873\/360)\/(-27). Which is smaller: o or 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13914218*o**4*r - o**4 + 2*o*r - 47840*o + 15*r - 24 wrt o.\nAnswer: -166970616*o**2*r - 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-52)\/9 + (-2)\/9)*40\/(-24)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14942\/3 - -4980. Suppose -5*l + 2 = 22. What is the closest to o in 0.3, -2\/9, l?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -71521017 or -71521033?\nAnswer: -71521033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6188396 + 6358.\nAnswer: -6182038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2. Let u(h) = 102477443*h**2. Determine u(f(d)).\nAnswer: 409909772*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + o + 6, 0 = -5*w + 3*w + 3*o + 8. Let n be w\/(-2) + 2 + -1. Let q be 0 + -2 + n - 0. Which is bigger: 5\/4 or q?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*20232.47.\nAnswer: 4046.494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + w**2 + 5*w + 2. Calculate k(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: d (base 15) to base 8\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21113223 (base 6) to base 13.\nAnswer: -1876c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, f: 5, j: 3}. What is prob of sequence jj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*z**5 + z**4 - 369*z**2 + 3*z - 2154 wrt z?\nAnswer: -80*z**3 + 12*z**2 - 738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2095 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*c = 106*c + 59*c + 1170 for c.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 36*r**2 - 37*r. Let x be t(-37). Solve -3*f - 9 = -x*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-19395)\/(-555) + 35035\/1295 + -27\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -7 - 2) + 5 + 6 + 0\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-5*5\/(-300))\/((-3)\/(-6))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11134 - 53506 = -58*v + 39180. Does 1795 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2074 at most -2072?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/2)\/(513\/(-1710)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -1177*a**3\/2 - 81*a**2 + 5*a + 19. Let f be x(8). Round f to the nearest one thousand.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14272?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3753, -0.3, -4\/15, -1, 2 in descending order.\nAnswer: 3753, 2, 0, -4\/15, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 + 2*h. Let p be 22\/(-12) - 4\/24. Give i(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x. Let d(o) = 20*o - 20*o + 3 + 5*o**2 + 8 + 7. What is k(d(i))?\nAnswer: 10*i**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 310*d - 4*p = 313*d + 10, 4*d = 5*p + 28. Let u(o) be the first derivative of 5*o**d - 7 + 0*o + 10\/3*o**3. What is the second derivative of u(m) wrt m?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*q - 6*w - 349, -q - 4*w + 143 = 0. Calculate the remainder when q is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**2 - 131*o + 1437. What is i(22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v - 4*v + 0*v + (-1 + 5 - 2)*(-10*v + 2 - 2) + 4345*v - 2676*v - 2449*v.\nAnswer: -801*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 - -39. Find the third derivative of 18*f**6 + 6*f**2 + 0*f**m - 2*f**6 wrt f.\nAnswer: 1920*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, b: 8, w: 1, y: 4, o: 4}. Give prob of sequence yw.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -fda8 + -b5?\nAnswer: -fe5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 591.4624mg?\nAnswer: 591462400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80, -135, -208, -293, -384, -475, -560, -633?\nAnswer: -688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**3 + 5*m**2 - 5*m - 4. Let s = 116 - 111. Let b(y) = 3*y**3 + 4*y**2 - 4*y - 3. What is s*b(t) - 4*z(t)?\nAnswer: 7*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a + 10. Determine h(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.884031 take away -3494?\nAnswer: 3494.884031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 + 2*j**3 + 0*j**3)*(-2*j + 7*j - 11*j) - 34*j + 3*j**4 - j**4 - 14*j**2 + 33*j.\nAnswer: -4*j**4 - 14*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = -5*n + 79. Let j = -42 + n. Let w(r) = 3*r + 4 + 2 + 0*r**2 + 3*r**2. Let d(g) = 2*g**2 + 2*g + 4. Determine j*w(t) + 8*d(t).\nAnswer: t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rp when two letters picked without replacement from ryybpybbbr.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22.8 - 25.82. Let g = b + -52.58. Let d = 56 + g. Sort 4, 0, d.\nAnswer: 0, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 q when three letters picked without replacement from {t: 5, q: 8}?\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7846.\nAnswer: 2, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -l**4\/12 + 29*l**3 + 44*l**2. Calculate the lowest common multiple of 2 and d(34).\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - 30. Let t be 2\/((s\/28)\/(-4)). Calculate the highest common divisor of t and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*t**2 + 5*t**4 - 6*t**2 - 2*t**4 - 6*t**4 - 5*t**4 + (2*t - 2*t - 2*t)*(0 + 0 + 2*t**3) to the form j + a*t**2 + n*t + v*t**3 + m*t**4 and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of 0*h + 0*h**6 + 0*h**5 - 3*h**2 + 2\/3*h**3 - 1\/210*h**7 + 0 + 0*h**4. Differentiate z(c) wrt c.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1422*y**3 - 24*y**2 + 17 wrt y.\nAnswer: -8532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) 2\/3 (c) -0.1 (d) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3546 and 10441?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 285 divided by 12?\nAnswer: 95\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/3 - 40*p**2 + 168*p - 512\/3.\nAnswer: -2*(p - 2)**2*(p + 64)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - -358.\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3483 is divided by 386.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + o**2 - o. Suppose -2*r - 3*r - 22557 = -22577. Let s(n) = 3*n**3 - 4*n**2 + 9*n. What is r*h(a) + s(a)?\nAnswer: -a**3 + 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3364 + -0.303. Let f = b - 0.6104. What is f rounded to 2 dps?\nAnswer: -0.58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*(-12)\/63 + 47331\/7 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 521966199?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + z + 8. Let o(g) = g**2 + 12*g - 5. Let p be o(-12). Let f be 0\/(-2)*p\/(-15). Sort f, 4, z in increasing order.\nAnswer: z, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (790\/1580)\/(1*3\/(-92))?\nAnswer: -46\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316 is divided by 198.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-34)\/6 - 2\/6. Let p be n\/9*(-15)\/5. Suppose -5*l + p*g = -24, -l + 5*g = 6 - 20. Calculate the remainder when 11 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 7*f**2 - 8*f - 11. Let m(d) = d**3 - 3*d**2 - 2*d. Let w be m(4). Let o be h(w). Let n = -5 - o. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/65)*b**(-25\/2)*(b**(-15))**(3\/19))**(1\/71) assuming b is positive.\nAnswer: b**(-36649\/175370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 305 - 305. Which is the third biggest value? (a) 3 (b) -2\/7 (c) -3 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -2, -367, 2, 3 in increasing order.\nAnswer: -367, -17, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 528324921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1\/(j*j*j**(-3)*j))\/(j**(2\/13)\/j**(-6)) assuming j is positive.\nAnswer: j**(-67\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -30. Is 1390\/y*(18\/(-4))\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 355479965 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 12, 6, -8, -30, -60, -98?\n\"Answer: -4*t**2 + 6*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gmqw when four letters picked without replacement from {q: 2, w: 6, m: 1, g: 3}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, h: 1, q: 3}. Give prob of sequence qn.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52 + 62. Suppose p*o = 11114 + 4176. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.3 - -2.1. Let d = 18 - 11. Let j(z) = z - 9. Let b be j(d). What is the third biggest value in 1\/7, c, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -1, 3, 270, -4 in descending order.\nAnswer: 270, 3, -1, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 22172794 + 3?\nAnswer: 22172797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((465\/(-18))\/31)\/((-1)\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3475840 and 17280?\nAnswer: 93847680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-10 - (-268)\/15).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 4*p - 37. Solve -3*g + 8*g + 45 = 4*c, 5*c - 50 = p*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**2\/4 - 24062787*v\/2 - 579017718207369\/4 = 0.\nAnswer: -24062787","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wo when two letters picked without replacement from {w: 4, l: 2, z: 1, g: 2, o: 2, u: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-12 - (-4 - 2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 309 + -1469. Round m to the nearest 10.\nAnswer: -1160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 j when four letters picked without replacement from ajjaaaajaaaaaaa.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 6\/54 + 10\/((-720)\/(-838072))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -20*d - 42. Let f(v) = 19*v + 51. Calculate 4*f(b) + 5*k(b).\nAnswer: -24*b - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffiffifffi. Give prob of sequence iif.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 330 (base 14) to base 4.\nAnswer: 21312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 886\/(-443)*15\/2.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55*d - 10*d + 19*d)*(48 + 9 + 66 + 137 - 26).\nAnswer: -10764*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-122820)\/(-51175)*(-8)\/(-3)*(-1)\/2\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of x**6\/30 + 4*x**5\/5 - 377*x**4\/6 + 2728*x**3\/3 - 4719*x**2\/2 + 556*x. Solve s(b) = 0 for b.\nAnswer: -39, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 5)*(47 - 29 + 13)*(0*r + 4*r - 3*r) + (-3 + 0 - 3)*(-3 + 3 - r) - 2 - r + 2.\nAnswer: 36*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-95053*t - 858*t**2 + 95053*t)*(5*t**2 - 2*t**2 - 5*t**2).\nAnswer: 1716*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 15 = -27. Solve x*i - 6*i + 15 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*m + 23*m - 1264. Suppose -769 - m = -7*h. Suppose -60*x = -65*x + h. Solve 0 = 5*a + x - 6 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -395 - -403. What is the remainder when (123 + -1)\/(1\/(4\/r)) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.46 - -0.36. Let z = -247 + 250.9. Let g = z - q. Which is the nearest to 0? (a) g (b) -4 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 698664917 to the nearest integer?\nAnswer: 887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1814365484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 350715 and 93627.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of 8*g**3\/3 - 2*g**2 - 1729*g. Let u(o) = -17*o + 5. Give -6*c(b) - 5*u(b).\nAnswer: -11*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - 0.1. Let g = 8.1 - s. Let w = -6 + g. Is 0 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 192898 and 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -317 - 7?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -225 - -205. Let n(q) = 14*q**2 + q - 1. Let v be n(1). Let j = v - a. Does 7 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -302 + 320. Let w(q) = 44*q + 87. Is w(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b + 5203 - 6013. Is b a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 216*f**2 + 246*f**2 - 431*f**2 as d + n*f + m*f**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x - 3898 - 2102. Suppose -61*y + x = -56*y. Is 40 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 382894?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 5*c + 3 - 32, -23 = -5*c + z for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of a**4\/12 - 288*a. Let o(v) = v + 288. Calculate m(o(g)).\nAnswer: g**2 + 576*g + 82944","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 428 - 131 = -99*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 537059519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*l = -110*l + 90. Suppose 0 = -2*w - 0*w + 64. Calculate the least common multiple of (-4)\/6 - w\/(-3) and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u\/u**(-2)*u)\/u)\/u)\/((u\/u**(-2\/5))\/u))**(-36)*(u**(2\/19)\/u**(4\/3))\/(u**(-2\/15)\/(u**0*u)) assuming u is positive.\nAnswer: u**(-8901\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -5 - 7 + 18 - 4*b - 9. Let p(s) = -s + 1. Let d(z) = -3*p(z) + q(z). What is d(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4*t - 264. Let q(u) = -3*u + 6. What is -2*o(g) - 2*q(g)?\nAnswer: -2*g + 516","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 9, g: 4, y: 3}. Give prob of picking 1 g and 2 w.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 27 = -3*v. Suppose -5*d - 5 = -6*d. Put v, d, -4 in descending order.\nAnswer: v, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than 4961432671?\nAnswer: 4961432675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-1))\/(1 + -2). Suppose 0 = -2*k + 34 - 8. What is the remainder when (1\/(-2))\/(n\/74) is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 368338 and 258?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -4*s - 513. Let y(u) = -3*u + 2. Determine -j(f) + 2*y(f).\nAnswer: -2*f + 517","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -525, -549, -573, -597, -621?\nAnswer: -645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/10 - 26\/(-10). Suppose 268 - 108 = -2*c - 5*d, 0 = -c - 4*d - 92. Sort c, a, 4 in descending order.\nAnswer: 4, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8805*(2 + 28\/(-12)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 6*h**2 - h - 6. Suppose 100 + 76 = 2*i. Let w = i + -84. Suppose 0 = -2*t - w + 14. What is q(t)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*x = 0. Let l = 11.7 - 14.7. What is the closest to x in -1, l, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**2 + 708*i - 2864 = 0. Calculate i.\nAnswer: -358, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1107814307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114784 = -4186*o + 27540 for o.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*n = 37. Suppose o + y - n = 0, -y = -o + y + 28. Suppose d - o = -2*u, -83 = u - 6*u - 2*d. Is u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 19040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-34977.\nAnswer: -174885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 6 = 5*m - 2*m, 0 = b - 3. Is (-22 - m)*(714\/(-12))\/7 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212 is divided by 23.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/2*(-26)\/273. What is the closest to -0.1 in 2\/9, 1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 n, and 1 p when four letters picked without replacement from {n: 5, p: 1, w: 6, y: 2, s: 1, t: 1}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - -14 - (0 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (25\/(-5))\/(3\/6). Let t be (-2)\/a*6 - (-114)\/(-190). Sort 2, -3, t in decreasing order.\nAnswer: 2, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 660*g - 2554*g - 203*g - 1623*g - 2920*g.\nAnswer: -6640*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - u + 4. Suppose 0 = -l + 2*l - 140. Let k(p) = p**2 - p - l + 291 + 8*p**3 - 151. What is k(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -7d?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 76, 2370.\nAnswer: -2, 3, 76, 2370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 12*b. Solve 0 = -b*p + 5*p - 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*j - 6, -2*j = -c + 4*c - 15. Suppose 2*p + 160 = -0*n + 5*n, -107 = -j*n - p. Suppose q - 2*q = -18. What is the remainder when n is divided by q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1900 and 20140.\nAnswer: 100700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2392*f**4 - 4*f - 2385*f**4 - 2*f + 5*f**3 - 3*f**2)*(-3 + 0 + 4) as l*f + k*f**2 + z*f**3 + t*f**4 + j and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b**(1\/4)\/b)\/b)\/b)**(1\/3)\/(b**(-5)*b*b**(-1)) assuming b is positive.\nAnswer: b**(53\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (1 - 0) + (-10 - -10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4135.377 nanometers in millimeters?\nAnswer: 0.004135377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -171, -153, -113, -45, 57, 199?\nAnswer: 387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 77107400*y**3 + 178099*y**2 + 145*y?\nAnswer: 462644400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -6*q**3 + q. Let l(a) be the first derivative of a**4\/2 + 1. Let p be (-9)\/(-24) + (-319)\/(-88). Determine p*t(z) + 11*l(z).\nAnswer: -2*z**3 + 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of 107*s**3\/3 + s - 2673. Let i(k) = 10*k. Give u(i(r)).\nAnswer: 10700*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15 and -0.4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3221*h**3 - 1509*h**3 + 12287*h**3.\nAnswer: 13999*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of 0*k**4 + 0*k**5 + 3 - 1\/2*k**6 + 0*k**2 + 0*k + k**3. What is the third derivative of d(i) wrt i?\nAnswer: -180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + f = -1. Let c be (-15)\/12 + -5 + (-17)\/(-4). Sort f, c, 5 in descending order.\nAnswer: 5, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7493 + 3.8.\nAnswer: 7496.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 16*w + 26. Let k be 35\/(630\/36)*1*(0 + -1). Let h(f) = 3*f - 5. Determine k*l(n) - 11*h(n).\nAnswer: 2*n**2 - n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104, 200, 284, 350, 392?\nAnswer: 404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -47, 2, -10, -3 in decreasing order.\nAnswer: 2, -3, -10, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*n = 48, -3 = 3*p - 2*p + 3*n. Let a be 4\/18 + 12\/(-54). Suppose 5*b + 2 = -a*v - 4*v, 3*v = -p. Is b bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 33*d**2 - 27*d + 64. Let l be f(-32). What is the tens digit of (-4)\/(-32)*6*-1*l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.2, 2, -2\/11, -59, 2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -43. Let j = -21 + z. Put 1, -1, j in ascending order.\nAnswer: -1, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.905 and -5.\nAnswer: -4.525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18025688.\nAnswer: 2, 739, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 27733257 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m = -5*m - 4*m + 4*s + 19, -5*m = -6*s - 29 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -31000231120?\nAnswer: -31000231131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 2. Suppose -4*g = -6*g. Let h = 13 + -8. Solve 3*w + h + z = g for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -40, -159, -360, -643, -1008?\n\"Answer: -41*l**2 + 4*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 914170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z + 4*z - 7*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -58630 times -0.4?\nAnswer: 23452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/980 and -41\/3430.\nAnswer: 6860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 4*z = -8*z + 25, 11 = m + 2*z for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -10*p + 60. Let k be b(6). List the prime factors of (k + 3\/6)*-173*-4.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f + 237. Let o be c(-29). Let g(w) = w**3 - 7*w**2 + 3*w + 11. Let q be g(7). Calculate the highest common divisor of o and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15 and -122.94.\nAnswer: -1844.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**(-12\/5)*s*s)**(-4\/7)*s\/s**(-2\/47)*s**(-5\/7) assuming s is positive.\nAnswer: s**(-5476\/1645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24.135 + -1.878. Let k = i - -26. Let s = k - 0.987. Which is the nearest to s? (a) -12 (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -42, 251, 1030, 2535, 5006?\n\"Answer: 40*a**3 + 3*a**2 + 4*a - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36868062.8 rounded to the nearest 10000?\nAnswer: 36870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 16*i - 1. Let p(m) = 413*m + 1. Determine c(r) - p(r).\nAnswer: -397*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(8)*1)\/(2*sqrt(400)) - (sqrt(8)\/(sqrt(2) + (sqrt(2) - (2*sqrt(2) + sqrt(2) + sqrt(2) + sqrt(2) + sqrt(2)))))\/(sqrt(2) + sqrt(32)*2).\nAnswer: 41*sqrt(2)\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -198, -22, 3, -2 in decreasing order.\nAnswer: 3, -2, -22, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.1086+-7917.969\nAnswer: -7917.8604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1856 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 7 = 9. Let l(w) = 4*w + 9*w**2 - w - 6 + w**3 + w. Let u be l(s). Solve 3*a - a = -5*i - 30, -4*i - 2*a - u = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1397.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 80\/(-30)*6\/(-4). Let v = u + 1. Let b = -3 + 4. Put 4, v, b in descending order.\nAnswer: v, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/15 + 2551534*m**2\/15.\nAnswer: 2*m**2*(m + 1275767)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 93515 divided by -18703?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j - j + 2 + 830*j**2 - 831*j**2 + j. Suppose -x - x = 8. Determine q(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, d: 4, s: 1, h: 1, p: 2}. Give prob of sequence ps.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 0 + 0)*(-w + 0 + 0).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5549992 = 5*c + 4*l, 4*l - 9*l - 2219990 = 2*c. What is c rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 715, 1324, 1933, 2542, 3151, 3760?\n\"Answer: 609*t + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, 0, 0.4, -10\/3, 0.06?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -255, -795, 0.4?\nAnswer: -255","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -2. Let r(n) = -1 + 9*n - f*n - 3*n. Let g(j) = j - 1. Let b be 289\/255 - (-3 - 47\/(-15)). Give b*r(l) - 4*g(l).\nAnswer: -2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/2*(-10164)\/(-1089)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -42*x**3 - 4*x**2 - 2*x - 1. Let k be (-28)\/(-35)*(-2 + 58\/4). Suppose 18 = -k*d - 2. Is n(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = l, -4*r + 53 = r + 3*l. Suppose r*h = 18*h. Let q(a) = -a**3 - a**2 - a + 3. Let g be q(h). Solve -2*z - f = z - 9, g*f = -4*z + 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 6*g**2 + 7*g - 7. Let k be y(-7). Let x = k - -33. Calculate the highest common divisor of x and 208.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of 37*l**4\/2 - 103*l**3\/6 - 485*l**2. Differentiate a(j) wrt j.\nAnswer: 444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2004879\/304 or -6595?\nAnswer: -2004879\/304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3\/5 - 6*m**2\/5 - 48*m\/5 + 96\/5.\nAnswer: 3*(m - 4)*(m - 2)*(m + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -15227.24 to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11950153*p**3 - 26849152 with respect to p.\nAnswer: -35850459*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -7*x**2 + 6*x - 7. Let s = -28 - -22. Let w(d) = 8*d**2 - 7*d + 8. Give s*w(h) - 7*b(h).\nAnswer: h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 154 + 35 = -t, 3*a = 3*t - 321. What is the remainder when 1096 is divided by t?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*w + 46 = -319 - 103. Let u = 27 - 18. Calculate the remainder when u is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1590 and 1419234?\nAnswer: 7096170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 766.6843 micrometers in centimeters?\nAnswer: 0.07666843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -159, -5, 0, -1, 4 in decreasing order.\nAnswer: 4, 0, -1, -5, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three tenths of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 40. Suppose 4*x = 2*b - u, 3*x - 2*b = b - 24. Let j(z) = z**2 + 9*z + 10. Let c be j(x). Solve -20 = c*w + 2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 281314*m**3 + 281277*m**3 - 562577*m**3.\nAnswer: 14*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 1\/4, 1\/3, -0.5, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 3*m + 0*m)*(0*m + 0*m - 3*m) + (-6*m - 4*m - 4*m)*(66 - 66 - 146*m).\nAnswer: 2038*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10227348910750.1 - 0.5.\nAnswer: 10227348910749.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -185 or -184?\nAnswer: -185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19758881 to the power of 1\/4, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 24*v**2 + 98*v - 31. What is the remainder when 4131 is divided by o(19)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 1:49 AM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 0)*(99 + 5 + 19)*(-m + 0*m - m) as d*m + a and give d.\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 20*l**2 + 15 - 60 + l + 18 + 17.\nAnswer: 20*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + -3 + 6 + 1. Let a = 9 + d. Suppose -5*z + 33 = -57. What is the lowest common multiple of a and z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 13 + (-6 - (-32)\/(-8)). Solve -1 = -m*l - 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.29346 minutes in seconds?\nAnswer: 3017.6076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-3\/17)*n*n*n*n**(-4\/3))\/(n*n**(-3\/5)\/n*n\/(n*(n\/(n\/n**(-2\/13)))\/n)))**(-2\/3) assuming n is positive.\nAnswer: n**(-6208\/9945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1538686 is divided by 256417.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 21 = 3. Let w(m) be the third derivative of m**4\/24 + 2*m**2. Calculate the smallest common multiple of d and w(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1072 and 688.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 7:49 AM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 8:25 PM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.3, 7\/4, -2\/13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6442.1 + 6442. Which is the closest to t? (a) 4\/13 (b) 6 (c) 0.13 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2 = -3*f. Let k(x) = 16 - 5 - 3 - x + f*x. Let p be k(-3). Solve p = -3*c - 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2777076 by -2.\nAnswer: -1388538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-120)\/(-12) + -9)\/(-2 + (-6354)\/(-3176)) is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*r**2 - r**4 - 21*r**2 + 0*r**4 - 6 in the form o*r**4 + i*r**2 + p*r**3 + j + u*r and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6110953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 5*u - u)*(-3 + 1 + 3) - 280*u - 255*u + 598*u - 19 - 10*u + 19 - 7*u.\nAnswer: 48*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, r: 1, u: 1, z: 2}. Give prob of sequence zrz.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w*w**(-2\/5))\/w)\/w*w**(-45) assuming w is positive.\nAnswer: w**(-222\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -83404 - -6421601\/77. Let w = -85\/11 - p. Which is greater: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19060 and 2092?\nAnswer: 9968380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**2 + 3*y**2 + 0*y**2 + (y**2 - y**2 + y**2)*(2 - 3 + 3) + (3*y + 5*y - 3*y)*(-4 + 4 - y) to the form z*y**2 + w*y + v and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d*((d**(-3\/2)*d)\/d)\/d*d))**50\/(((d*d**(6\/13)\/d)\/d)\/d*d*d*d**(-6)) assuming d is positive.\nAnswer: d**(1697\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - 4*c - 68. Is 17 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -g + 4*g. Let u(p) be the second derivative of 127*p**4\/6 - p**3\/6 - 3*p. Is u(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.063 * 0.155\nAnswer: -0.164765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = 4*i - 2*j, 79726*i - 4*j = 79729*i + 80 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20954*l + 6152*l + 25606*l + 24150*l)*(-2*l**3 - 2*l**3 + 5*l**3) to p + j*l**2 + y*l**4 + a*l**3 + d*l and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y = -47*y - 13*y. Solve 2*z + 10 = y, -3*p - 23*z + 19*z - 26 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32369227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d**2 - 6*d**2 + 2*d**2)*(3*d - d + 0*d + (-5 + 0 + 3)*(5*d - 3*d + 0*d) + 0*d + d + 0*d) to f + n*d**2 + k*d + z*d**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*c = -21*c - 830. Let n = 169 - c. Solve -2*l = y, -5*l + n*y + 22 = -0*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/13, -18, -18\/11?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199 is divided by 101.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 304 and 608266?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 27*d + 55. Let k be n(-25). Solve 3*t + 4 = -k for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 - 3)*(2*n**2 - 2*n**2 - 4*n**2) + 7*n**2 - 7*n + 10*n - 4*n**2 as p*n + f*n**2 + b and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 26*r**3 - r. Let d be o(-1). Let p be (10\/d)\/(1\/(-10)). Suppose n = p*n - 36. Solve -3*k - n = -0*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1856a + -2384?\nAnswer: -1a943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 7*i**2. Let c(g) = -6002*g**2 + 2*g - 81. What is c(f(q))?\nAnswer: -294098*q**4 + 14*q**2 - 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -58200000 to the nearest one million.\nAnswer: -58000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2091, -2139, -2215, -2331, -2499, -2731?\nAnswer: -3039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 10*t. Let g(h) = 11*h - 7. Let l(j) = -8*j + 5. Let v(m) = -5*g(m) - 7*l(m). Calculate v(q(i)).\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 4:12 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 10:51 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -2 + u - 2*u**2 - 1\/3*u**3. What is g(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13 or 0.16?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336966 is divided by 83845.\nAnswer: 1586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1947 - 15537\/8. Calculate the common denominator of l and 0 + 2 - -1 - 345\/100.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 - 2)\/3*1. Let p be 6\/9*m*9. Let d = 6 - 3. Solve 0 = 3*t + 6, 0*z - z = -d*t - p for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.4, -3, 34 in ascending order.\nAnswer: -3, -0.4, -0.1, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -191665771 and -578160.\nAnswer: -192243931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h - 109. Let a(f) = 4*f - 109. What is -2*a(b) + 3*d(b)?\nAnswer: -2*b - 109","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 3*n**2 - 12*n + 1844. Let u(a) = -4*a + 8. Determine 8*u(d) + 5*y(d).\nAnswer: -2*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 8:28 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = t - 1936 - 1921 + 3842, -5*t - 7*r + 43 = 0 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x. Let t be r(-2). Suppose -t*g + i + 12 = 0, -8 = -g - 2*i + i. Factor 0*m**3 - g*m + m + 3*m**3 + 0*m.\nAnswer: 3*m*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**2 + 84*d + 5. Let p be f(-42). Suppose 71*g + 443 = 72*g - p*j, -g + 2*j + 458 = 0. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -16*z**3 - 2*z**2 - 2*z. Let x(a) = 8*a**2 + 7*a - 1 - 168*a**3 + 217*a**3 - a**2 + 1. Give 7*m(p) + 2*x(p).\nAnswer: -14*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 30*y + 287. Calculate v(-10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = z + 153. Find the second derivative of 61 + 2*d**4 - 61 - z*d wrt d.\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 1189*q - 2377. Let f be n(2). Let t(k) = -13*k**3 + k**2 - k. Give t(f).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*z**3 + 0*z**3 + z**3)*(z**2 + 1 - 1) - 4*z**5 + 3*z**5 - z**5.\nAnswer: -8*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -94828*a - 948252. Calculate c(-10).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21001112011 - 1?\nAnswer: -21001112012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 - 47. Suppose -4*b = 16, 5*r + p = -17*b + 12*b. Solve 0 = 2*c + 3*y + 8, 3*c + r*y - 2 = -2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ex when two letters picked without replacement from ennhjnnnhehxkxn.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 9 - 11 = 0. Let h(d) be the first derivative of -1\/4*d**4 - t - 7*d + 5\/2*d**2 + 4\/3*d**3. Calculate h(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (68\/(-6))\/((-6)\/99). Suppose 5*j = m - 42. What are the prime factors of j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 112 by -707.\nAnswer: -16\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -136 + 410\/3. Let y = 39.9 + -40. What is the nearest to y in p, 0.2, 8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2\/15, -154719.\nAnswer: -154719, -2\/15, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 696\/145*10\/(-3). Let m(u) = -42*u + 1. Is m(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 800ea4 (base 15) to base 6.\nAnswer: 334140144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 35 + 10 = 0. Suppose -157*d + 154 = -317. What is the remainder when h is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24951432 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*j + 7*j - w, -3*w - 13 = -5*j. Suppose y = -5*z + j*z + 3, -19 = 5*y - 2*z. Is y + 51\/3 + 1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(-13 + 3 + -1). Let c = y + -5. What is the remainder when 2\/8 + (-134)\/(-8) is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 96506281\/41064 + -68157\/29. What is the common denominator of g and -55\/36?\nAnswer: 4248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a week in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -1. Let o be -3*(g - 6\/(-9)). Suppose 4*h + o*f - 22 - 14 = 0, -2*f = 3*h - 31. Calculate the remainder when 38 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47390401 is divided by 13164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(-72) + (-338)\/9 + 1 + 3\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*y - 17*y + 14*y**3)*(-12*y**2 - 321*y + 321*y).\nAnswer: -168*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 10*x**4 - 39*x**2 - 20*x. Let u(b) = -5*b**4 + 19*b**2 + 10*b. Let y(f) = 4*c(f) + 9*u(f). Find v such that y(v) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/(-16))\/(2\/(-16)). Let n = -2 - d. What is the units digit of 22 - (n\/4 + 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of c**4\/6 - c**3\/6 + 8*c. Find the second derivative of b(i) wrt i.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -239550.131 to the nearest one hundred.\nAnswer: -239600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(16\/(-4)))\/1. Solve k = j + 5 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1390 - -9739\/7. Let d(t) be the third derivative of -1\/70*t**5 - n*t**3 + 0 + 0*t + 10*t**2 + 3\/14*t**4. Factor d(x).\nAnswer: -6*(x - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 140\/1190 + (-3532)\/(-34). Suppose 5*t = 30 - 0. Let m be 80\/t - (-2)\/(-6). What is the highest common divisor of m and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(4\/9))\/(((b*b\/((b\/b**(-1))\/b*b))\/b)\/b))\/(b**(2\/3))**0 assuming b is positive.\nAnswer: b**(23\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, l: 4, b: 1, j: 2}. Give prob of sequence lmjm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q + 16 = 11*q. Suppose q*n + 7 = 127. What is the remainder when n is divided by 0 - (11 - 0)*-1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000047044 rounded to 6 dps?\nAnswer: 0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**2. Let u(m) = -8*m + 8. Let a(t) = 7*t - 7. Let f(z) = 7*a(z) + 6*u(z). Let r(w) = 83*w - 4. Let g(h) = 4*f(h) - r(h). Give g(n(i)).\nAnswer: 158*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vtmobtmmbtmmmv. Give prob of picking 2 b.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 20 + 14 - 13*d**2.\nAnswer: -13*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/241 and 31\/4097.\nAnswer: 4097","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-2)*((-266524)\/106904 + (-5)\/(-2))?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*k**2*l**2 - 6*k**2 - l**5 + 7*l**2 - 27*l wrt l.\nAnswer: 38*k**2 - 20*l**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354472951.\nAnswer: 7, 43, 1177651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -180 divided by 5?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j + j**2 + 3 - 1 - 10*j**2 + 7*j**2 - 14*j to the form m*j**2 + x*j + k and give x.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4544622 + -15?\nAnswer: -4544640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 2 - 3)*((-6*j - 6*j + 4*j)*(-j**2 + 4*j**2 - 2*j**2) - 1 + 1 + 5*j**3) to h + n*j**3 + c*j + k*j**2 and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -212261+0.6\nAnswer: -212260.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c*r**5 - 470*c*r + 167*r**5 wrt r?\nAnswer: 20*c*r**3 + 3340*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*k - 15*k**3 + 38*k - 5*k**2 + 2*k**3.\nAnswer: -13*k**3 - 5*k**2 - 52*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15984829759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -1\/6*w**6 + 85\/4*w**4 + 0*w**5 + 0*w**2 - 62 + 29*w**3 + 0*w. Find the third derivative of a(l) wrt l.\nAnswer: -60*l**2 + 510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/162 and -41\/648.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 take away -47491?\nAnswer: 47640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/10765 and 51\/75355.\nAnswer: 75355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u - 9*u - 227 + 11*u.\nAnswer: 9*u - 227","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 4*m - 2. Let q(b) = 1. Let s(l) = -k(l) - 6*q(l). Suppose -c = c + 4*u - 18, 0 = -3*u + 9. What is s(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/7 or -1287298\/9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 662237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4 + ((2*sqrt(55))\/sqrt(5) + sqrt(11))**2).\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p. Let y be 3 + -2 - 3 - -12. Let r(n) = -22*n**2 + 10*n**2 - y*n**2. Determine r(g(h)).\nAnswer: -88*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3429 + 3422 - (-4 + -3 + (0 - 1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z - 2 - 7*z - 9*z**3 + 1)*(-4 + 2*z + 4).\nAnswer: -18*z**4 - 2*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -6*x**3 + 4*x**2 - 6*x - 4. Let n(l) = 6*l**3 - 5*l**2 + 7*l + 5. Calculate 4*n(q) + 5*v(q).\nAnswer: -6*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -110 + 152. Let y(b) = 1. Let i(o) = -2*o**3 - 14. Calculate n*y(r) + 3*i(r).\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 717068 by 6.\nAnswer: 358534\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 15 = 0, -4*d - 12*r + 8*r = -143999980. Round d to the nearest 1000000.\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 51518 = 5*x - 51453, -4*t = -22*x - 322 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18625077 - -4?\nAnswer: -18625073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c - 7. Let t be i(-2). Suppose -4*x + 16 = -0*x. Put -16, t, x in descending order.\nAnswer: x, t, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, b: 6, o: 4, e: 7}. Give prob of picking 1 o and 1 b.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 11:31 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -46, -142, -286, -478, -718, -1006?\n\"Answer: -24*q**2 - 24*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 482962210 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6432425728 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 150*r - 4782. List the prime factors of y(40).\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 177 - -664. Let w = -301\/3317 - 33388627\/39804. Let s = x + w. Find the common denominator of s and -107\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97946.91 micrograms to nanograms.\nAnswer: 97946910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/9)\/((-14)\/(-84))*-3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -354*c = -1600 + 184 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 3. Let z be -2 + 4 + h + -1. Suppose -39 = -z*v + 36. What is the greatest common factor of v and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4\/11 - 64*r**3\/11 - 9232*r**2\/11 + 155904*r\/11 + 11868192\/11.\nAnswer: 2*(r - 58)**2*(r + 42)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + g + 1. Which is greater: -5\/3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 296793 and 62392.\nAnswer: 359185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -z**6\/150 + 3*z**5\/20 - 29*z**4\/30 + 14*z**3\/5 - 4*z**2 - 4417*z. Determine b, given that j(b) = 0.\nAnswer: 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -156436 or -156437?\nAnswer: -156436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 1 = -4*y, 4*y = g - 28 + 7. Suppose 9*x = g*x - 84. Let r = x - -18. Sort r, 5, 9 in decreasing order.\nAnswer: 9, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 12105819.\nAnswer: 242116380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -71.3 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 6 - 2)*(y - 4*y + y + 2 + (3 + 1 - 2)*(-3*y + y + y)).\nAnswer: 28*y - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + 1. Let c = h - 5.4. What is the biggest value in 0.3, -5, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -203?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q + 2*h + 14 = 14*q, 2*h + 14 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 183 + -1283\/7. Let m = 0.006 + 0.494. What is the fourth smallest value in m, n, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-75 - -73)\/((-1)\/3). Solve s + 15 = 7*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -13, -2\/9, 0.01, 1, 4, 4\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 25*k. Let c(g) be the second derivative of -4*g**4\/3 - 216*g. Give x(c(v)).\nAnswer: -400*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 2406\nAnswer: -1\/2406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 21286 bigger than 20936?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -226, -454, -682, -910, -1138, -1366?\n\"Answer: -228*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of 27 + 124\/3*l**3 - 153\/2*l**2 - l. Differentiate d(p) wrt p.\nAnswer: 248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 115397186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8032 + -4556. What is the thousands digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*u + 1)*(10 - 10 - 13*u**2)*(3*u**2 - 2*u**2 - 3*u**2).\nAnswer: 78*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-25))**(-7)\/(z**(2\/5)\/(z\/(z**(-3)\/z*z)))**(2\/23) assuming z is positive.\nAnswer: z**(20161\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-33)\/(-6) + -2)*280\/1225. Which is the second biggest value? (a) h (b) 0.3 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -0.3, 11, -21, 1.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000459 rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-7)\/(x*x**(1\/5)*x*x))**(3\/7))**(4\/17) assuming x is positive.\nAnswer: x**(-36\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 44267510669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100320 divided by 2.\nAnswer: 50160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 2026431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14670 + 14648. Let h(y) = -3*y - 12 - 2*y**3 - 2*y**3 + 3*y**3 - 22*y**2. What is the remainder when h(k) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20599*r**3*v**2 - 3*r**3*v + r**3 + r**2*v**2 - 314*r + 2 wrt v?\nAnswer: 41198*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 257941 to the nearest integer?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/744 and -21\/32.\nAnswer: 2976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 2*v + 14, 0*d - 5*d + 20 = 5*v. Sort d, 4, 0 in ascending order.\nAnswer: d, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6468 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1281422741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*r, -3 = -2*y - 2*r - 11. Suppose -5*b + 1074 + 416 = y. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 153 - 39. Suppose 0 = 2*x - 3*n - n - z, 3*x + 5*n - 127 = 0. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124375, -497575, -1119563, -1990339, -3109903, -4478255?\nAnswer: -6095395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(80) - (2*(sqrt(45))**2 + sqrt(5)).\nAnswer: -87 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 104\/(-65) - ((-6)\/5)\/(-3). Suppose 11 = 5*j + 1. Let d be (j\/(-5))\/(g + 42\/20). What is the second smallest value in 1\/15, -1\/2, d?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-4) - (-11442)\/(-36). Let b = 1253\/4 + n. What is the common denominator of 43\/18 and b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-448)\/(-256)*1\/(-7).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 43*q - 1898. Determine w(37).\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 42*r**3 + 10*r**2 - 8*r. Determine h(1).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -6. Suppose -3 = -3*s, k + v = -0*k + 4*s. Suppose -2*t + k = b + 19, 2*b = 5*t + 47. Is t not equal to -31\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67903\/2 - (-628)\/1256?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 73 = 4*u + 6, 2*u = -3*l + 91. Suppose -5*z + 10 = -q, 4*q - 2*z - l = -5*z. Solve -q*c - 16 = 4*a, -3*a + 5*c - 10 = -33 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -5*g + 14 - 6*g - 6*g. Let u(v) = 6*v - 5. Let i(x) = x**3 - 24*x**2 + 81*x - 31. Let d be i(20). Calculate d*u(j) - 4*o(j).\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -754 + 763. Let l(a) = 80*a**2 + a. Let f be l(1). Calculate the highest common factor of f and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51338 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18839212 is divided by 348872.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 61, 91, 121?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69 and 346679.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 36 = 3*u. Suppose 8*t - 24 = u*t. Let n(i) = -i**2 - 7*i - 6. Calculate the smallest common multiple of t and n(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 928593 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/10395 and -77\/56325.\nAnswer: 39033225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33177 divided by -1.\nAnswer: -33177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**2*d)\/d)\/d**5)\/(((d\/(d*d*d*d**(-1\/4)))\/d)\/(d**(2\/9)\/d)) assuming d is positive.\nAnswer: d**(-37\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 14. Solve -u*d - 25 = 2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -437 + 437.966. Let n = 0.034 + h. Which is the closest to -1\/3? (a) 3 (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-48)\/(-21) + 2\/(-7). Suppose 2*g = -i + 33, 2*g - 33*i = -35*i + 38. Calculate the highest common factor of g and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 702 and 56187?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/7 (b) 6 (c) -33 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 41*c**3 - c**2 + 11 + 2*c - 11*c**4 - 33*c**3 to the form h*c**2 + f*c**3 + t*c + n + x*c**4 and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 515*h**4 - 1027*h**4 + 514*h**4 + 2791*h**5 + 5324*h**2 - 1015*h**2 wrt h.\nAnswer: 167460*h**2 + 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52 + 54.1. Let a = 262.7 - 263. Sort l, 3\/4, a in descending order.\nAnswer: l, 3\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 - -60. Let a = 58 - d. Find the common denominator of 8\/3*(0 + a\/4) and 40\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 990.\nAnswer: -2\/495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 3.472886.\nAnswer: -6.945772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/10*(0 + -4). Let r be (1 + 6\/(-3))\/2. What is the nearest to r in 0.4, -0.3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 182410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 11*a - 529. Determine q(21).\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-99)\/(-4))\/((-26174)\/(-184) + -142)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in -0.3, -2, 3\/7, 1\/56?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 7*s - 8. Let b be t(4). Suppose b*f = 20, 10 = 2*o - 4*f - 2. Solve -5*a + o + 4 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -126 + 883\/7. Let n = 8.3 - 8. Sort n, -0.2, k in ascending order.\nAnswer: -0.2, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 6*o - 5. Let n be l(-4). Suppose -n*s = -7*s + 12. Suppose 2*v - s*v = 5*h - 45, -4*v + 4*h + 132 = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from 73691.9.\nAnswer: 73691.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87302867?\nAnswer: 87302867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**2 + 21*l - 35. Determine m(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 21. Suppose u - 18 = -c. Suppose -235 = -3*n - u*i, 334 = 4*n - 4*i + 54. Does 25 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*g**2 - 8*g**4 + 3*g**4 - 3*g**4 wrt g?\nAnswer: -192*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13, -5, 7, 23?\n\"Answer: 2*q**2 + 2*q - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 4*v - 9. Let l be y(6). Solve -l*f + k = 11, -k = f + f + 4 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - 19*g + 29. Let a be u(-16). Let n = -74 + a. Calculate the remainder when ((-4)\/8)\/(1\/(-18)) is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 7*b + 8. Let s(d) = -2*d + 1. Calculate -g(r) + 3*s(r).\nAnswer: -13*r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s + 11. Let b be j(-5). Find the third derivative of -2*c**3 + 0*c**3 - 5*c**2 + 2*c**3 + 5*c**b wrt c.\nAnswer: 600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/4 - 6*g - 351.\nAnswer: 3*(g - 26)*(g + 18)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-1 - -91)*(-48)\/(-60)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -89*q**4 + 2*q**3 - 990*q**2 + 9783*q - 16.\nAnswer: -1068*q**2 + 12*q - 1980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/8)*v**(-2)*(v\/(v*v\/(v*(v\/(v\/((v**(1\/2)\/v)\/v)))\/v*v)))**(-15))\/((v*(v*v**(-1\/3))\/v)**(-4\/19))**5 assuming v is positive.\nAnswer: v**(9839\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 793 - 81 = -2*z, -4*t + 1780 = -5*z. Let u = 555 + z. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -504 + 2?\nAnswer: -502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -0.589, 4, -3 in descending order.\nAnswer: 4, -0.589, -3\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - w**2 - 6*w. Let d be p(0). Suppose d = -5*m + 5*b + 280, 60 = 2*m + b - 64. Is 119\/2 <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**5\/5 - 36*y**4\/5 + 344*y**3\/5 - 264*y**2\/5 - 68*y + 60 = 0. Calculate y.\nAnswer: -15, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*i**2 + 14*i - 14*i + (i + 0 + 0)*(-6*i + 5*i + 0*i - 29*i + 2*i + 13*i + (-2 - i + 2)*(3 - 1 + 0)).\nAnswer: -25*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 13*t. Let a(j) be the first derivative of -85*j**2 - 139. What is -3*a(s) - 40*f(s)?\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4023 - -545?\nAnswer: 4601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 421 is divided by 37.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1248400 rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, l: 2, v: 2, q: 1, z: 1}. What is prob of picking 1 q and 1 z?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 681550.2 tonnes to kilograms.\nAnswer: 681550200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**4\/23 + 330*n**3\/23 - 119360*n**2\/23 + 586200*n\/23 + 705888\/23 = 0 for n.\nAnswer: -342, -1, 6, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 11:30 PM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*g**3*i + 36*g**3 - 225*g**2 + g*i**2 + 4793*i + 1 with respect to i.\nAnswer: 4*g**3 + 2*g*i + 4793","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, s: 2, t: 1, i: 2, o: 1, c: 1}. Give prob of sequence thsi.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82615?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 + -35. Which is the biggest value? (a) y (b) -0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1414412, 2828833, 4243254?\n\"Answer: 1414421*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.049862um in meters?\nAnswer: 0.000000049862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8a - -1?\nAnswer: 8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -r**8\/56 + r**5\/10 + r**4\/6 + 26*r**3\/3 - 152*r. What is the third derivative of q(y) wrt y?\nAnswer: -120*y**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1041599*f**2 - 93*f - 20887?\nAnswer: -2083198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/11)*(y\/(y*y**(-3\/17)\/y))\/y*(y*y**(-6\/11)*y)\/y*y**(-5) assuming y is positive.\nAnswer: y**(-834\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 107 + -537\/5. Let r = -3.7 + 4. Which is the closest to f? (a) r (b) 4 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a millennium in months?\nAnswer: 50400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0\/(l\/(l\/l**5)*l))**43*(l\/(l\/l**3)*l**(1\/8)\/l)\/((l\/(l*(((l**2\/l)\/l)\/l*l*l)\/l))\/l**(1\/8)) assuming l is positive.\nAnswer: l**(-1023\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -930*m - 2839. What is l(-3)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of 11*y**4\/12 - y**3\/3 - 37*y**2\/2 - 37*y. What is the units digit of r(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3522 (b) -5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z - 86. Let i be s(-29). What is the closest to 1 in -0.3, -0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 5*j + 7. Let b be w(6). Let a be (0 + b)*1 - -18. Suppose -4*s + f + 31 = 0, a = s + f + f. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sqquud. Give prob of sequence qus.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(-22) - (-2656)\/88.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-3))\/(12\/9). Suppose t + j = 6. Solve 0 = 2*d - 3*z - 15, 0*z - 3*z = -t*d + 24 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3232)\/(-1872))\/101)\/((-8)\/(-18))?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(8)\/sqrt(2))\/sqrt(200) + ((sqrt(72)*1)\/sqrt(3) + sqrt(24))\/(sqrt(300)*-2 - sqrt(300)))**2.\nAnswer: 32\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jrpnwgpn. Give prob of picking 1 n and 1 p.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sxxesssee. What is prob of sequence sexs?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45359160, 90718325, 136077494, 181436667, 226795844, 272155025, 317514210?\nAnswer: 362873399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8.4 (b) -0.5 (c) -0.4 (d) -7 (e) 10 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -1.6053572.\nAnswer: 0.64214288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 181\/23562 and -47\/1302.\nAnswer: 730422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -14289204 minus 1019?\nAnswer: -14290223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 187 - -16. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2 = -4*j + 9, -2*j = 2*v - 6. Solve 5*g + 15 = -2*r, 4*g + 25 + 20 = v*r for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 198 and 448569?\nAnswer: 897138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**2)**21*(l**(-3))**(1\/64) assuming l is positive.\nAnswer: l**(2685\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 9*d - 44 = 0. Suppose a - 8 - d = 0. Solve -w + 5*w = -a for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1340*c**2*w + 2*c*w - 2*c + 673*w wrt c?\nAnswer: -2680*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p - 2*m - 6, -36*p + 5*m = -40*p - 29 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 8*s**2 - 9*s + 16. Let w be u(7). Suppose 12*h + w*h = 4872. List the prime factors of h.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254.3773 decades in millennia?\nAnswer: 2.543773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*x - 46 = q, 0 = 2*x + 4*q - 32. Let d be (2\/4)\/(3\/(-132)). Let m = 42 + d. What is the lowest common multiple of m and x?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -7 - (-41 - -37)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*g - 20*g + 11*g + 5*g - 5*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 b, and 2 g when four letters picked without replacement from {g: 5, t: 1, f: 5, j: 1, b: 5}.\nAnswer: 5\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73543623, 73543622, 73543621, 73543620?\nAnswer: 73543619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 287.3 + -288.663. Let q = w - -33.933. What is q rounded to 0 dps?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/16 - 83\/(-4). Let t = q + 13. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -822, -825, -828?\n\"Answer: -3*f - 819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -3. Suppose -2*w = 4 - 12. What is the second smallest value in h, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -72 + 74. Suppose 3*m - 5*w = 265, -r*w - 2*w = 2*m - 184. What is the greatest common factor of m and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1558393.013 - 7317?\nAnswer: -1565710.013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 2*t + t - 2, 8 = 2*t. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 6*s - 153. Give m(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61218881?\nAnswer: 61218881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 3*f**2 + 3*f. Let n be 18\/(-22) - 10\/55. Calculate the smallest common multiple of (-2 + n)*88\/(-12) and k(-2).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*g - 6. What is the third derivative of c + 2*c + 6*c**3 - 3*c - 9*c**g wrt c?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72072*t**2 - t - t + 2*t + 35304*t**2.\nAnswer: 107376*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/((-24519)\/26748).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m + 5*m - 12*m.\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-72)\/(-20) - 4)*-5. Let l(u) = -14*u. Let s be l(-7). Suppose 0*w - s = -h*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 354, 392, 432, 474, 518, 564?\n\"Answer: f**2 + 35*f + 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 2193, 415 in descending order.\nAnswer: 2193, 415, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 2. Suppose -4*i = -o*h + 3*h - 77, -71 = -4*h + i. Is 18 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**4 + j**2 - j + 1. Let q(g) = -50*g**4 + g**2 + 5*g - 1. Let k = 128 + -129. Let c(s) = k*q(s) + l(s). Find the second derivative of c(t) wrt t.\nAnswer: 588*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-329 + 277 - 720 - 470)*(-120*o + 585 - 585) to x + r*o and give r.\nAnswer: 149040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 487.391mg to grams.\nAnswer: 0.487391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2971.668465431 less than -0.5?\nAnswer: -2972.168465431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2444 and 160787.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4765 - 4762. Solve -7*t = -3*t + 5*y + 8, -5*t = -c*y - 27 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1469*m - 36 = -1473*m. Let o be -13 + (m - 1) + 38\/6. Determine g so that -o*g**2 + 8\/9*g + 0 + 4\/9*g**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2888423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 304200.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-7938)\/(-56))\/(-9)*-8 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -84? (a) -2 (b) -1\/3 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p**0*p)\/p))\/(p\/(p*p**10\/p*p*p)))**(-2\/131) assuming p is positive.\nAnswer: p**(-24\/131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5472553 to the power of 1\/4, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u. Suppose -s - 5*l = -4, -3*s - 3*l = -6*l - 12. Let d(f) = -31*f**2 - 4*f. Let k(z) = z**2 - z. Let w(a) = s*k(a) - d(a). Determine j(w(x)).\nAnswer: 70*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -3\/7, -5, 3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*d = -p - 17, 8 = -p + 5*d. Let k = 30 + p. What is the remainder when k is divided by (3\/(-2))\/(2\/(-12))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 8*t. Let o be m(3). Suppose 4*p = 2*p + o*s + 36, -68 = -4*p + 5*s. Calculate the smallest common multiple of p and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3214024401 (base 5) in base 7?\nAnswer: 111440543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-76)\/(-114)*(-2 + -1). Let r be -1 + 5 - (-4)\/k. Let o = -12 - -16. Sort -0.4, -4, o, r in descending order.\nAnswer: o, r, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 + -21. Suppose 0*f - 2*f - 16 = 0. Let r = f + 13. What is the remainder when z is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2 - 7*y - 14. Let z be b(-11). Suppose z + 83 = -4*g. Let u = g + 136. What is the highest common divisor of 13 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 5538*j + 8 - 7 - 7520*j.\nAnswer: -13058*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cfked. Give prob of picking 1 e and 1 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 21. Which is the nearest to 1\/4? (a) v (b) 2\/13 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34266275*o - 17110310*o - 17155968*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.67, 5, 8 in descending order.\nAnswer: 8, 5, 1.67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3 = -33. Let h(p) = 63*p - z*p - 36*p. Determine h(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -387 - 624. Let r = k - -1564. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*r**4*y + 55*r**4 + 3*r**3*y + 816*r*y + 2*r + 3*y wrt r.\nAnswer: 24*r**2*y + 660*r**2 + 18*r*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00010323 rounded to 5 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 649290210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 - -0.3. Let i = -0.1 - h. Let x = -101.9 - -102. Which is the nearest to i? (a) x (b) 5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3240776871 to the nearest integer?\nAnswer: 1480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 10 = 4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of g**3\/2 + 187*g - 7. Let t(d) = 20*d + 13*d + 32*d. Give j(t(i)).\nAnswer: 195*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.0328196 times -128\nAnswer: -4.2009088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186348648.\nAnswer: 2, 3, 7764527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 12 = 2*i, 4*x - 16 = -i. Which is the closest to -1\/4? (a) x (b) 3\/4 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u. Let j(g) be the second derivative of 41*g**3\/2 + 15*g + 6. Give j(f(x)).\nAnswer: 123*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -0.5, 2\/7, -1.6, 1\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1732 (b) 5 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -74?\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1857552 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-6) - (-4)\/6. Suppose x*n - 7*n = 0. Solve -3*g - o - 3*o + 2 = 0, 2*g + 3*o - 2 = n for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 304647981 divided by -799601.\nAnswer: -381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -9, 2, -0.04?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 818.90123468 - 833.901234. Let v = h - -15. Round v to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**3 + 21*c**2 + c + 3. What are the prime factors of t(10)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2117?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from arptpqqv. What is prob of picking 1 p, 1 a, and 1 t?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + (17 - (-2 + 8 + 1))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274819 is divided by 24935.\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2897 times 0.566?\nAnswer: 1639.702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 70 or 74?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -7733*n**2 + 3*n + 6030. Let g(c) = 23202*c**2 - 8*c - 18091. Let l(v) = 3*g(v) + 8*j(v). What is the first derivative of l(x) wrt x?\nAnswer: 15484*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 6*g - 8. What is the remainder when b(4) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**3 - 4*o**2 - 4*o + 3. Suppose 13*w + 2*p = 10*w - 16, 4*p - 4 = 3*w. Let y(x) = -3*x**3 + 5*x**2 + 5*x - 4. Determine w*y(r) - 5*q(r).\nAnswer: 2*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3281?\nAnswer: 17, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27662 + -4315345\/156. What is the common denominator of f and 107\/18?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3035, -3043, -3053, -3065, -3079, -3095, -3113?\n\"Answer: -b**2 - 5*b - 3029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**3 - s**2 - 2*s + 7. Let t be f(3). Suppose -4*x - t = -5*y, -y + 4*x + 26 = 2*y. What is the lowest common multiple of y and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 386\/1407 + 16\/1407. Let -g*h**3 - 1\/7*h**4 + 4\/7*h**2 + 0 + 8\/7*h = 0. Calculate h.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 5481 = q. Suppose 4*x - q = -3*x. List the prime factors of x.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1*(-2)\/(-10)*-53 and ((-354)\/42)\/((-1)\/(-1)).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 5, -3*m - 2*d + 4 = -3*d. Let g be m\/6 - 406\/(-12). Suppose g = 3*t - 44. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s - 3*b - 283957 = 0, -14*b - 29923 = -2*s - 9*b. List the prime factors of s.\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3930 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4928808 by 8.\nAnswer: -616101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0025361317 rounded to 4 dps?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(153) + -1)*2 - (sqrt(153) + 6*(sqrt(153) + -1) + 0))**2.\nAnswer: -360*sqrt(17) + 3969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-5.4705706.\nAnswer: 21.8822824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2616 (b) 0.3 (c) 0.1 (d) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -75648 + 162?\nAnswer: -75476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 4551, -4, -24.\nAnswer: -45, -24, -4, 4551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 293.711 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 1506 = 86. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.43 - -1.42845. Round v to four decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2884?\nAnswer: 2, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1429*g**4*m + g**4 + 73*g**3 - 132558*g**2*m - g + m - 28 wrt g?\nAnswer: 34296*g*m + 24*g + 438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 37808382*g**4 + 5748483 wrt g.\nAnswer: 151233528*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -8*m**2 + m**2 + 8 + 9*m**2 - 1 + 6*m. Let s be u(-2). Factor -7*r**2 - 5*r + 3*r**2 + s*r**3 + 0*r**2 + 2.\nAnswer: (r - 2)*(r + 1)*(3*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1425) - sqrt(1425) - sqrt(57))\/(sqrt(33)\/(1*sqrt(11))) - (sqrt(133)*1*6)\/((1*sqrt(49))\/sqrt(7))) + 5.\nAnswer: -22*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 0.6, 4, -13, -14?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -v - 96. Let w = -26 - v. Which is bigger: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(288) + (5*(sqrt(288)*-4 - sqrt(288)) - sqrt(288)))\/(sqrt(54)\/(sqrt(9) + sqrt(441))) + -4.\nAnswer: -4 + 800*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 167.19 - -4.81. Let x = 172.001018 - z. Round x to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -3\/10*f**2 - 1\/5*f**3 + 0*f + 12. Factor t(b).\nAnswer: -3*b*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(1 + 2*f - 1 + 0*f + 0*f - f + (-f + f + 2*f)*(-2 + 2 - 2) + f + 0*f + 0*f)*(-6 + 2 + 3).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 11*k - v + 9 = 0, -3*v - 7 = -2*k. Let o = -476 + 478. Solve o*s - k = -0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10\/63 - -8\/21. Let s = -22 - -38. Let d = s + -16.3. What is the third smallest value in 2\/3, d, j?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/437856 and -113\/11493720?\nAnswer: 45974880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 165958874?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1803877918?\nAnswer: 2, 59, 15287101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/18*(16\/(-18))\/2.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 43*k**2 + 9*k + 9. Let o(x) = -21*x**2 - 4*x - 4. Determine 9*o(c) + 4*q(c).\nAnswer: -17*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 10 + (-2 - -5 - 5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 6 - 25*o - 4 to v*o + c and give v.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 24, 15, 4, -9, -24, -41?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 2*y + 17 - 7, t = -4*y - 14. Suppose p - 5 = 2*s, -t*s - 3 = -1. Solve 4*u = -u - p*l - 4, 0 = -5*u + 5*l - 20 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 16*v - 2739. Let j(u) = 6*u - 3. What is -g(z) + 3*j(z)?\nAnswer: 2*z + 2730","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12 - 12 + j + (-35 - 69 + 37)*(5*j - j - 2*j) + 2*j - j - 3*j + 4*j - 5*j + 2*j + (1 - 2*j - 1)*(1 + 1 - 4).\nAnswer: -130*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 597 + -246. What is the remainder when u is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4707271479 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r = -0*r + 242. Let l = r + 11. What are the prime factors of l?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*j - 13746 = -7047 - 6945 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2*i - 34*i**2 + 28*i**2 + 63*i**2 + 23*i**2 as x + h*i**2 + y*i and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*b - 1484753 + 1484748 - 12*b.\nAnswer: -54*b - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38\/15 - 7\/3. Let n(k) = 7*k + 12. Let p be n(-1). Which is the fourth biggest value? (a) g (b) -4 (c) p (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + -0.18. Let t = 27.08 + -29. Let g = t + z. Which is the closest to -1? (a) -3\/4 (b) 2\/3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 479509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/12)\/(9338\/(-1564) + 30\/((-25)\/(-5)))?\nAnswer: -34\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/9)*t**4*(t**25)**(-28))**(-29) assuming t is positive.\nAnswer: t**(181598\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3*-33*(-19)\/(-171)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 58625700491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -5*j**3 - j**2 + 2*j - 1. Let x(v) = 2*v**3 - v**2. Let s be x(-1). Is y(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3709064630?\nAnswer: 2, 5, 37, 10024499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2206 + 2207. Which is the third smallest value? (a) i (b) 2.11 (c) 2\/9 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 244 - 244.4. Put k, -1\/8, 0.18 in decreasing order.\nAnswer: 0.18, -1\/8, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37453 + 37642. Calculate the greatest common divisor of q and 6561.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 2*w = 9. Let r = 2.5 + -2. Let n be ((-4)\/(-10))\/(18\/(-5)). Which is the nearest to w? (a) -1\/5 (b) r (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k - 28. Give h(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 533, 528, 515, 488, 441, 368, 263?\n\"Answer: -m**3 + 2*m**2 - 4*m + 536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - (sqrt(204) - -5*sqrt(204)*2))\/(sqrt(132)\/(sqrt(22)\/sqrt(2) + sqrt(11))) - (sqrt(612) + 1 + sqrt(612))*3*-3.\nAnswer: 9 + 88*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 3)\/(288\/(-384)). Sort 3, 3013, c in decreasing order.\nAnswer: 3013, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 20*g**2 - 74*g - 1. Determine t(-15).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -26 - 604\/(-28) - 4\/7. Let m be 1 + 48\/(-27) + 1. Which is the closest to m? (a) -9.5 (b) r (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.43 (b) -1\/4 (c) 117 (d) -21 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 311.07 - 311. Which is smaller: -22 or b?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 13) in base 6?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1 + (-4 + 1 + 2)*(-1 - 2 + 1) - 1 - 3 + 2)*(d + 14 + d - 19).\nAnswer: -2*d + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*j + 139361 = 32009. Is j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6169067 to the power of 1\/3, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, -3, -46, -105, -180?\nAnswer: -271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13201211 (base 4) to base 15.\nAnswer: -91eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s + 2*s + 4. Let y(t) = 2*t**2 - 5*t - 2*t**2 - 2*t**2 + s + 6*t**2. Let j(w) = 17*w**2 - 21*w + 4. Let p(d) = -4*j(d) + 18*y(d). Factor p(o).\nAnswer: 2*(o - 1)*(2*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4593 + 4678 + (1 - 135).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 1653608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 7. Let g be (-28 - -6)*2\/(-4). Let t = g - 10. What is the third biggest value in k, t, -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-210)*7)\/(-1)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and 6960.\nAnswer: -139.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38263.81147 + 38264. Round y to 2 decimal places.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**3*g)\/(g\/g**5)*(g**0\/g*g)**(1\/38) assuming g is positive.\nAnswer: g**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhmfhmwfhffwfdffm. Give prob of sequence mdf.\nAnswer: 7\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -52784*y**2 - y - 208. Let k(w) = -w. What is s(k(i))?\nAnswer: -52784*i**2 + i - 208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(216)*1)\/sqrt(9))\/(sqrt(12) - (sqrt(1728) + sqrt(1728)*-1 + sqrt(1728))) + 2.\nAnswer: sqrt(2)\/11 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (380\/171*6\/32)\/((-135)\/(-54))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5*i**3 - 24*i**2 + 4*i + 9. Let x(u) = 4*u**3 - 26*u**2 + 3*u + 7. Give 3*l(s) - 4*x(s).\nAnswer: -s**3 + 32*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (3 + (1 - -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 b when three letters picked without replacement from {p: 3, i: 1, g: 3, v: 2, w: 2, b: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 56 = 5*x, -100 = 7*q - 101535*x + 101541*x for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 586095*n**2. Let q(y) = y**2. What is q(c(o))?\nAnswer: 343507349025*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0*c = -414. Let i be 66\/(-286)*(-3 - 23). What is the highest common factor of i and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 312 and 260.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 213 - 219. Which is smaller: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8052817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 848 or 943025\/1113?\nAnswer: 848","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -42483*q**3 - 5799465*q**2 - 8699400*q - 3280500 = 0.\nAnswer: -135, -90\/119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**2 + 14*m**3 - 3*m**2 + (2*m**2 - 2*m**2 + 2*m**2)*(3*m + m - 5*m) + 2*m**3 - 2*m**3 + m**3 + (0*m**2 - m**2 - 5*m**2)*(14*m - 9*m + 5*m - 2).\nAnswer: -47*m**3 + 12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -748773 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*p + 3 - 3 + (-48*p - 2110 + 2110)*(-1 + 2 - 2))*(0 - 2 + 0) + 4*p + 7*p - 3*p as a*p + k and give a.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*1*sqrt(72) + sqrt(72))\/((sqrt(48) + sqrt(3))*-3))\/(((sqrt(12) - (sqrt(72) - -1*sqrt(72))\/sqrt(6)) + (sqrt(36)\/sqrt(3)*1 - sqrt(12)))*6).\nAnswer: -sqrt(2)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1022, -728, -238, 448, 1330?\n\"Answer: 98*f**2 - 1120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 2. Let u(i) = -i**c - 2 + 4 + 6. What are the prime factors of u(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**2\/2 - 430*j + 103675\/2 = 0.\nAnswer: 145, 715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o + 40 = 28*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60860, -60988, -61122, -61262, -61408, -61560, -61718?\nAnswer: -61882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**19)\/s)**(-36) assuming s is positive.\nAnswer: s**684","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 24448.23646 and 0.9?\nAnswer: 24447.33646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 106951319 to the power of 1\/2, to the nearest integer?\nAnswer: 10342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1178*u**2 - 1 - 1035*u**2 + 2196*u**2.\nAnswer: -17*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61636 - 61642. Let c(q) = q**3 + q**2 + q - 1. Let d be 2\/(-3) - (-15)\/9. Let r(k) = 8*k**3 + 6*k**2 + k - 6. What is d*r(z) + g*c(z)?\nAnswer: 2*z**3 - 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.66 + 25.06. Let q = -24.4000167 + z. What is q rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1839967 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**2 + 4*y + 25. Is 31 a factor of g(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -1\/4*o**4 + 0*o + 0*o**2 + 0*o**3 - 144 + 1\/10*o**5. Suppose c(s) = 0. Calculate s.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -662 + 666. Let x be ((-3)\/(-4))\/(1\/(-4)). What are the prime factors of (-22 - x)\/(0 - s\/36)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/76284 and -11\/43863300.\nAnswer: 43863300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 479194 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 34, 3, -5 in increasing order.\nAnswer: -5, 3, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*p - 19 = 0, -2*d + 4*p - 5*p - 11 = 0. Let o(j) = -2 - 3*j - 10*j**3 + 0*j - 2*j**2 + 4. Is o(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -373 + 3505*v - 112 - 3503*v + 4*v + 0*v + v + (-3 + 2*v + 3)*(0 + 1 + 1) + 4*v + 0*v - 5*v.\nAnswer: 10*v - 485","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33.934 + 0.066. Let k = 33.77 - h. Let g = k - -0.243. What is g rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 598, -3203, 6.\nAnswer: -3203, 6, 598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 112 + -84. Let w = 10 + i. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of l**4\/2 - 2*l**3\/3 + 5*l**2\/2 - 2*l + 40. Let c be f(2). Let i be (-432)\/(-10) + c\/20. Which is smaller: 45 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -15*y + 8. Let v(o) = 15*o - 7. Let k(a) = 4*n(a) + 5*v(a). Let l be k(2). Solve -4*w = -5*s - l, 2*w + s - 18 = 5*s for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.052? (a) 0.3 (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 2*t**2 - 18*t + 46. Calculate z(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rtqt when four letters picked without replacement from {r: 2, q: 4, t: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -441*f - 24255. Let x be r(-55). Let q(n) = n**3 - n**2 - 4. Let u be q(0). Sort u, x, 6, 1 in decreasing order.\nAnswer: 6, 1, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -23*i + 118. Let p(d) = -3*d - 2. Determine -4*p(r) - w(r).\nAnswer: 35*r - 110","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 7:25 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/18)\/((-25)\/3).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 64910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1453 + 1521. What is the hundreds digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -313 + 427. Let b be 5 + (3 - (2 - 1)). Suppose 0 = -b*x + s + 12. Calculate the smallest common multiple of x and 3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 7 = 5. Let a = l + -3. Solve -a*n - 2 - 4 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 205271 (base 11) to base 9\nAnswer: 551361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 178, 825, 1904, 3415, 5358?\n\"Answer: 216*k**2 - k - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3341.73319637 minus 0.2?\nAnswer: -3341.93319637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - p**4 - p**2 + (9*p**4 + 19*p**4 - 14*p**4)*(3 + 1 - 6).\nAnswer: -29*p**4 - p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -52 + 311 + -233.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.095 - 0.795. What is the second smallest value in 2, g, -43\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**3 - 4*m**2 + 4*m - 5. Suppose -3*p + 12*p - 81 = -0. Let x(a) = 5*a**3 - 9*a**2 + 9*a - 10. Calculate p*i(n) - 4*x(n).\nAnswer: -2*n**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - k - 93. Give r(0).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 311 + -312. Sort h, -2, 0, 6 in descending order.\nAnswer: 6, 0, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -90, -138, -186, -234?\nAnswer: -282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3)*-2 + 1 - -5*sqrt(75).\nAnswer: 1 + 23*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*3\/(-18) - (-290)\/348. Let s = 16.88 - 1.88. Which is the third smallest value? (a) -0.1 (b) w (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of c**5\/40 + 5*c**4\/24 - c**3\/12 - 5*c**2\/4 - 15*c - 10. Let j(n) be the first derivative of i(n). Find o, given that j(o) = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2399 + -1471. Calculate the remainder when v is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 q when three letters picked without replacement from wqwqiixqwqw.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/(z*z**(1\/5)))\/z)\/z**(-1))\/(z*((z**1*z)\/z)\/z)**17)\/((z**(2\/5))**(-8))**(16\/3) assuming z is positive.\nAnswer: z**(-2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 43817180 divided by -44?\nAnswer: -995845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -2.6. Let v = 0.22 + 0.42. Let p = -2.64 + v. Which is the second biggest value? (a) 1\/8 (b) w (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 972373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d**2 + 2*d - 1. Let m be g(-3). Suppose -3*i - 8 + m = 0. Suppose 51 = -l + i*l. What are the prime factors of l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134892, 134915, 134938, 134961, 134984?\nAnswer: 135007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2. Let k be o(1). Let p be (6\/(-8))\/(k\/(-8)). Let i(y) = 5*y**p + 3*y**2 - 5*y**2 - y**3. Let v(l) = 5*l**3 - 3*l**2. Give -3*i(w) + 2*v(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 2. Let s = -8 + 9. Let k(y) = -y**3 - 7*y**2 - 6*y - 1. Let i be k(-6). Which is the nearest to i? (a) 0.2 (b) r (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**2 - 40227198*q + 134852288244267 = 0. Calculate q.\nAnswer: 6704533","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-228 + 131*k**2 + 228)*(1 + 0 + 1) to p*k + s + o*k**2 and give o.\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47571166?\nAnswer: 2, 197, 120739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**2 - 3347 + 1334 + 18993*m - 18993*m to t + g*m + r*m**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 8. Let m(h) = h**2 - 13*h - 50. Let p be m(16). Let z be 1\/(4 + p\/(8\/14)). Which is the closest to z? (a) r (b) -3 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n - 11. Let k be y(-14). What is the second derivative of 2*a + 9*a - 5*a + 5*a**2 - k*a wrt a?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 61 + 7. Suppose 0 = -3*u - 2*u - 2*q + 352, r = u + q. What is the greatest common factor of 9 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + 15\/9)\/((-11)\/(-132)). What is the greatest common divisor of c and 484?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 10202?\nAnswer: 10202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**3 - 9*r**2 + 8. Let u(w) = w**2 - w + 1. Calculate d(g) + u(g).\nAnswer: -2*g**3 - 8*g**2 - g + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -w**4\/4 + w**2\/2 + 2*w + 1345. Suppose b + b - 26 = 0. Suppose -2 = -5*g + b. Give d(g).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(20)\/sqrt(4) + -1.\nAnswer: sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 - -6)*((-3)\/2 - -1). Suppose -5 = 5*k - 25. Solve c + k = -u, w = -c + 1 - 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = 8*p + 32. Let z = p - 24. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1542845179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90348098 to the nearest integer?\nAnswer: 9505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2182?\nAnswer: 2, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.6 - 48348838465.59.\nAnswer: -48348838461.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -264 + 709. Suppose x + 5*w - q = 3*w, 3*w + 435 = x. List the prime factors of x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -81 - -163. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -5 (c) 1\/5 (d) -2\/7 (e) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 10*m - 4. Let v be k(-12). Let n be 2\/(-7) - (-36033416)\/v. Let c = n - -3386908. Round c to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**3 + 44*z**2 + 3968*z - 28560 = 0. Calculate z.\nAnswer: -30, 7, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0052800703 to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 347361 - 347361 - 618*j**2.\nAnswer: -618*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of x**3\/6 - 5*x**2\/2 + 6*x. Let b be j(5). Solve 2*g + 3*z - 1 = 0, b = -4*g - 3*z + z - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*z**3 - 1296*z**2 + 3620*z - 1848 = 0. What is z?\nAnswer: 2\/3, 7\/3, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 96765*n**3 + 96418*n**3 + 0.\nAnswer: -347*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -7164 bigger than -7162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 26526, 48584, 70642, 92700, 114758, 136816?\n\"Answer: 22058*d + 4468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(190)*-2 - sqrt(190))\/(1*sqrt(20)\/sqrt(2)) - (sqrt(171)\/(sqrt(144)*-6) + -4))*-5)**2.\nAnswer: -1775*sqrt(19)\/3 + 2624875\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 456374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 19*x + 2. Let g be k(3). Suppose 4*d + 5*v - 60 = 0, g = 3*d + 4*v + 14. Calculate the highest common divisor of d and 150.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -19*j + 35*j + 22 - 18*j. Let a be h(11). Let k be 37\/74*1\/(-2)*a. Solve -3*r - 15 + 3 = k for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 22*l - 124. Let x be h(6). Find the second derivative of -7*n + 52*n**3 + x*n - 13*n**3 + 9 + 2*n**2 + 0*n wrt n.\nAnswer: 234*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(-2) - (-7 + 4)\/(-6). Suppose -q*x + 4 = 14*o - 10*o, -4*x - 3*o = -13. Solve x*v + 2*u + u + 15 = 0, 17 = -5*v - 2*u for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**3\/15 + 28*m**2\/15 - 98*m\/15 = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -12, -38 in descending order.\nAnswer: -4, -12, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 167045 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 16*b**3 + 13*b**2 - 2*b + 2. Let y(j) = -6*j**2 + j - 1. Give -v(i) - 2*y(i).\nAnswer: -16*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 2. Let n = 6 + -5. Do n and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7216*-61.26.\nAnswer: 442052.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 36792 (base 11) in base 14?\nAnswer: 15397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 3:56 AM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*c**6*v + c**4 - 7*c**3*v - 2*c**2*v + 172*c wrt c?\nAnswer: 480*c**3*v + 24*c - 42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 9:26 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2665, -10475, -23461, -41623, -64961, -93475, -127165?\nAnswer: -166031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 22*q**2 + 21*q. Give v(21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*b**3 - 11*b**3 + 8*b**3.\nAnswer: -13*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of 2*c**2 + 1\/42*c**7 + 0*c**3 + 0*c**4 + 0*c**6 + 1\/30*c**5 + 0*c + 0. Find the third derivative of x(v) wrt v.\nAnswer: 120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -55145\/79 - -698. Let c = -173\/395 - v. Sort -7, 5, -4, c in ascending order.\nAnswer: -7, -4, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 5:03 PM?\nAnswer: 78","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/(-10))\/(32\/10 + -3). Suppose 2*l + 1549 = j, -2*j = -0*j + z*l - 3122. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 470 + -315. Let g = -50 + v. What is g rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 4*d**2 - 3*d + 3. Let z be n(3). Let y = 27011.4 + -27011. What is the third biggest value in y, z, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -121*o**2. Let n(y) = 6698*y. Determine n(q(h)).\nAnswer: -810458*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times -64173.612?\nAnswer: 3208.6806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.93503 millennia to centuries.\nAnswer: 49.3503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 12:17 PM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 924 and 11202114?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**3 + 3*n**3 - 4*n**3)*(-448 - 1001 + 262 - 28 - 1042).\nAnswer: -6771*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 783 a factor of 4790560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/(-35) + (-24)\/30. Which is the closest to n? (a) 1 (b) -4 (c) 0.3 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j**5*m + 962*j**4*m**2 - 41*j**2*m**2 - 1 wrt j?\nAnswer: -120*j**2*m + 23088*j*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llzl when four letters picked without replacement from lllllzllzl?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 5*y**3\/6 + y. Let i(w) be the second derivative of -w**4\/12 + 12*w. Give i(c(h)).\nAnswer: -25*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14386145?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -154*i - 5640. Give f(-37).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 200*v + 21 + 199*v)*(-23*v - 43*v + 38*v) + (2 - 1 + 0)*(4*v + v**2 - 4*v).\nAnswer: 29*v**2 - 392*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4*r**2 + 516*r - 2395. Give z(124).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 4*n**3 + (-4 + 7 - 4)*(0*n + 2*n**3 + 0*n) + (12*n**2 + 9289*n - 9289*n)*(n + 3*n - 2*n).\nAnswer: 26*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 74*b**4 + 2*b**3 - 2*b**2 + 2*b + 32. Let g(p) = -p**3 + p**2 - p. Let y(w) = 2*g(w) + n(w). What is the derivative of y(k) wrt k?\nAnswer: 296*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1125, -2228, -3333, -4434, -5525, -6600?\n\"Answer: z**3 - 7*z**2 - 1089*z - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 + 26.997. What is n rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4))\/(2\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w - 8. Let r be k(-7). Let d be (24\/r)\/(1\/(-5)). Let u = -3118 - -3122. Solve 24 = u*y + d for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.834 - -0.166. Let n be (-253)\/132 + 2\/(-6). Which is the nearest to s? (a) n (b) -3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 74845 and 255924993.\nAnswer: 1279624965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 3*(-12)\/9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 397807 is divided by 27?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2570 equal to 208753?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 96 + -94. Let d(y) be the first derivative of -5 + 0*y - y**3 - 3\/4*y**4 + 3\/5*y**5 + 3\/2*y**w. Suppose d(f) = 0. Calculate f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 9, u: 6, l: 2}. Give prob of sequence zzz.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + -1.01.\nAnswer: -1.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6\/5, 3\/2, -0.25?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 325080 and 1419?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-2))\/(((-315)\/21)\/(-5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.04, 14, -2\/11, 9?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 83*m**2 - 57*m - 156. Give q(-3).\nAnswer: 762","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - z - 1. Let r(j) = -5*j**2 + 12 + 10 + 0*j - 18 + 2*j. What is -r(h) - 3*y(h)?\nAnswer: 2*h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5409)\/(-285)*5 - 22\/4*(-1876)\/98021?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-24))\/(9\/(-27)))\/(17\/177480*90)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 37133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(1050)*-3*-5)\/(6*(sqrt(384) + (5*2*sqrt(384) - sqrt(384)) - sqrt(384))))**2.\nAnswer: 4375\/2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9292*o - 143211 = 2124*o + 116623 + 139726 for o.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and -790.788.\nAnswer: -791.288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*a - 444 = 564 + 1008 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 222 - 217. Calculate the greatest common factor of o and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 49 - 54 = -3*d, -2*u + 2 = 0. Calculate the remainder when 8616 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2. Let d(o) = o**3 + o**2 + o + 10. Let y be d(0). Let t = y + -5. Let q(l) = l + 4. Let b be q(-6). Let m(n) = n + 5. Calculate b*m(k) + t*c(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.009 + -1.991. Which is the nearest to u? (a) 0.2 (b) -2\/7 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 868863981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-2)*(-4)\/10. Suppose 4*p + 33 = -0*u + 3*u, 0 = -u + 3*p + 16. Let c = u - z. Solve 2*n + c = -n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 265081032?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 + 5. Suppose t - 17 = -3*s, 3*s - t = -s + v. Calculate the remainder when s is divided by 2*(-2)\/(-1*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2 - 8*c + 5. Let a be y(-4). What is the highest common factor of a and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/12135 and -11\/8090.\nAnswer: 24270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -275, 1, 1.39?\nAnswer: 1.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x. Let g(i) = -4*i**2 + 2*i. Determine 2*g(s) - 4*q(s).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -25*w - 3. Let s(m) = -12*m - 2. Let c(f) = 2*a(f) - 5*s(f). Is 14 a factor of c(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1013013210 (base 4) in base 8?\nAnswer: 1070744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by 133.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7ab49 (base 12) to base 13\nAnswer: -598b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*y, -2 = -5*u + 2*u + 2*y for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5206 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 370449 and 9.\nAnswer: 370449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44650 and 15090275.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -181 - -241. Suppose -9*r = 3*r - p. Let d = -5 + 10. Solve -r*x - 3*b + 31 = b, 0 = -3*x - d*b + 29 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 16780830, 16780829, 16780828, 16780827?\n\"Answer: -p + 16780831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52\/(8736\/(-1134)))\/(6\/(-8))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 4. Is 9 a factor of (-4)\/(-6) + 104\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -33*z + 1. Suppose 13*w + 18 = 31. Give v(w).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6952.\nAnswer: 2, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -18*d**3 + 225*d**2 + 516*d + 8. Let y(l) = l**3 - 31*l**2 - 1. Let b(k) = s(k) + 6*y(k). What is the second derivative of b(a) wrt a?\nAnswer: -72*a + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**2 - 3 + 0 + 2 + 5096 - 84*t**2 - 5096 + (0 - 1 - 1)*(-2*t**2 + 2*t**2 - 2*t**2) to the form m*t + s + j*t**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 809 + -812. Which is the second biggest value? (a) 4\/7 (b) -5 (c) -2\/11 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 - 40 = -5*g. Let f = g + -41. Factor -2\/7*c**4 + 0*c + 0*c**f + 0 - 2\/7*c**3.\nAnswer: -2*c**3*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27444 + 27444.023153. Round l to four dps.\nAnswer: 0.0232","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*w - 9. Suppose 5*s = 5*o - 10, -2*s - 4*o + w = 28. Suppose -4*p - 6 + 20 = 2*l, -16 = -5*p - 2*l. Sort s, -1, p in increasing order.\nAnswer: s, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -4*u**3\/5 - 66777836*u**2\/5 + 4*u\/5 + 66777836\/5 = 0.\nAnswer: -16694459, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1*4*8\/(-8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 4:49 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 245349 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 3*p = -18. Let i(j) = -j + 6. Let w(r) = -2*r + 5. Calculate p*w(v) - 5*i(v).\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 52 + (-1)\/((-3)\/(-15)). Suppose -l - 37 = -i. Solve 6 = -2*n, -4*r - 2*n - l = -5*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3638800 and 1375.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 23 - (24 - 5) - (1 + -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -86.229 times -0.3?\nAnswer: 25.8687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 163588, 163558, 163526, 163492?\n\"Answer: -c**2 - 27*c + 163616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59083, -118323, -177705, -237229?\nAnswer: -296895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -309*u + 304*u - 4*b - 11, 3 = -u - b for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2412 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 10, n: 4, m: 1, y: 3}. Give prob of picking 1 n and 1 m.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d4904 (base 16) to base 15.\nAnswer: -122e90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*x**2 - 2*x - 2729 + 0*x + 2730)*(1 - 3*x + 2 - 6).\nAnswer: 63*x**3 + 69*x**2 + 3*x - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -4*s + 406, 435 = 5*n - 4*s + 61. Is 21 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14775 divided by -94.\nAnswer: 14775\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gk when two letters picked without replacement from kktbggtggggtgkgbkg.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10256, 10255, 10254, 10253, 10252?\n\"Answer: -l + 10257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -314, -724, -1224, -1814, -2494, -3264, -4124?\nAnswer: -5074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5\/10 - ((-2823)\/162 - -18)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 3:24 PM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 59 - 31 = 0. Let m = 1449\/10 - 25253\/170. Is m >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3*(sqrt(7) + (-1 + sqrt(700) - sqrt(700))) + ((sqrt(560) + (sqrt(560) - (1*sqrt(560) + sqrt(560))))\/sqrt(10) + sqrt(56) - sqrt(56))\/sqrt(8)).\nAnswer: -9*sqrt(7) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48455074 to the nearest integer?\nAnswer: 6961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1694702?\nAnswer: 2, 29, 61, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xux when three letters picked without replacement from xxxxxxxxxxux?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*h + 8*h - 148*h.\nAnswer: -110*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 345 + -574. Let i be (-304 - 3)\/((-4)\/3). Let j = g + i. Which is the smallest value? (a) -0.4 (b) 0.1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1154880 or -1154886?\nAnswer: -1154880","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/4760*-35*12240\/(-2142)\nAnswer: -30\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 120012 (base 3) to base 12\nAnswer: 2a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*v + 4*v - 2*v)*(-2*v**3 + 0*v**3 - 4*v**3) - v**4 + 4*v**4 - 2*v**4.\nAnswer: 85*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + -284 + -6)*-21. Suppose 2*p = 2*m - 0*p - 4102, -3*m + z = 3*p. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (36 - (-21 - -25)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*1)\/(((-1860)\/(-90))\/31)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -11*j**5\/30 + 2*j**3\/3 - 27*j**2. Differentiate c(p) wrt p.\nAnswer: -44*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 254624825 divided by 5369\nAnswer: 47425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express n**3 + 9*n + 7*n - 3 - 16*n in the form z*n**2 + s*n + k*n**3 + a and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 699109823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + h = -2*b + 43, 2*h + 5*b = 47. Calculate the highest common divisor of h and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1a (base 16) to base 6\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k - 76 = 4*k, -5*t + 11*k + 13*k - 38 = 16*k + 10*k for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 122001 (base 3) to base 7\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 5*j - 6. Let w(s) = s - 1. Calculate -2*r(y) + 14*w(y).\nAnswer: 4*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -319, -612, -857, -1030, -1107, -1064?\nAnswer: -877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0*(-1)\/(-3))\/1. Suppose b*r = -3*r. Which is smaller: r or 2\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/330 and 25\/11440671.\nAnswer: 114406710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113233322 (base 5) to base 13.\nAnswer: 1547b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1690978 rounded to the nearest 1000?\nAnswer: -1691000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 6) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32135 + -32134.9. Which is the third biggest value? (a) o (b) -181 (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/9 + 12844*l\/9 - 2607886\/9.\nAnswer: 2*(l - 197)*(l + 6619)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 460 and 340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18.72 + 139.68. Let y = 121 - s. Which is the nearest to -2\/5? (a) 0.2 (b) -0.1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5.18 (b) 1\/4 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/((-330)\/(-10))*3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -129\/29440 and 121\/480.\nAnswer: 88320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.28535 - 0.01465. Let c be 2 + 0 + (-519)\/(-18). Let s = c + -31. Put s, q, 1\/21 in decreasing order.\nAnswer: 1\/21, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 12:10 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 386, 371, 338, 281, 194, 71, -94?\nAnswer: -307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11325 is divided by 43?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1567966 divided by -783983?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of v**4 + 89*v**2 - 91*v wrt v?\nAnswer: 12*v**2 + 178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 29 = 121. Suppose 7*i - 79 = -4*d + 2*i, 0 = -d + 4*i + p. Calculate the remainder when d is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/18 and -131\/1496808.\nAnswer: 1496808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 335, 697, 1057, 1415, 1771, 2125?\n\"Answer: -l**2 + 365*l - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(-8) + (-133)\/(-28). Solve -12 = -9*h + x*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -11.5. Which is the smallest value? (a) 1\/8 (b) v (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 10.7, -0.2567, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (68\/(-36))\/((-8007)\/471)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 584014157 or 1?\nAnswer: 584014157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -826*z. Let k(a) = -814*a. Calculate 4*i(r) - 5*k(r).\nAnswer: 766*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h + 8. Let u be m(-3). List the prime factors of (u - 18\/(-12))*1266.\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2.23, 4, -2 in decreasing order.\nAnswer: 4, 2.23, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-114)\/532)\/(30\/4*2\/10)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -5255?\nAnswer: 2\/5255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/12220 and -125\/982488.\nAnswer: 4912440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 times 0.3?\nAnswer: -11.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 15*h**2 + 23*h - 47. What is c(-13)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2363 + 4394. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 752*n - 1079 = 300 + 562 - 437 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 11101021100 (base 4) to base 16\nAnswer: 151250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2*l)*(2*l + 0 + 0) - 19*l - 5*l**2 + 24*l - 15*l + 2*l**2 - 5*l**2 + l**2 to p + i*l**2 + b*l and give i.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1600 - 1593. Let g(z) be the first derivative of -9 - w*z + 0*z**2 - 2\/5*z**5 + 0*z**3 + 0*z**4. What is the derivative of g(a) wrt a?\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10725145 at most as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -7*i - 19. Let r be k(-7). Let f = r + -25. What is the second derivative of -30*x**3 + 30*x**3 - 42*x + x**f - 5*x**4 wrt x?\nAnswer: 20*x**3 - 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1377*p - 1370*p + 195*p + 1897*p + 1932*p)*(-p + 2*p + p) in the form t + z*p**2 + g*p and give z.\nAnswer: 8062","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**3 - 9231*m**2 - 9222*m**2 + 18453*m**2.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/(-56) - 66\/(-14). Suppose -78 = -k*w + f - 30, -5*f = -2*w + 33. What is the smallest common multiple of w and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49671637 to the power of 1\/3, to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*2*sqrt(9)\/sqrt(3) + 0 - (((sqrt(36) - (sqrt(252)*1 - sqrt(252))\/sqrt(7))\/sqrt(12))**2 + 1).\nAnswer: -12*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-h + 0 + 0)*(3 - 3 + 1) - h - 3*h + 2*h - 2 + 2 - h + h - h + 2*h - h + 4 - 4)*(4*h**2 - 1 + 1).\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 - 100101221?\nAnswer: -100101133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(-3 - (-4 + 3)). Suppose 14 = o*c + 10. Suppose 0 = c*q - q - 58. Is 24 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((3 + (-228)\/75)*-1). Suppose -k = 5*b - f, 4*b - 7 - 4 = k. Solve 6 = -k*u + 2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/11 (b) -0.252 (c) -55 (d) 5 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/335940 and -23\/880.\nAnswer: 1343760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 15 (b) -4 (c) 151\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2\/(-3)*9405\/(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 671e4 (base 15) to base 10.\nAnswer: 327814","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -117, -129, -189, -321, -549, -897, -1389?\n\"Answer: -4*i**3 + 16*i - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5)*x**(2\/31)\/x)\/(x**(2\/25)\/(x\/x**(1\/4))) assuming x is positive.\nAnswer: x**(-16323\/3100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26655 - -26656. Suppose -b + 2 = -v, 0*v - 4*v = 5*b - 19. Suppose -15 = -b*d + q, -d + 6*d + 4*q = 25. Sort i, 0, d, -2.\nAnswer: -2, 0, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 81491*h**3*n + 5*h**3 + 27*h*n + 254*h + 6*n - 3 wrt h?\nAnswer: 488946*h*n + 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170\/(-357)*1\/(95\/(-114)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3133.6 * -1788.\nAnswer: 5602876.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 - -11325?\nAnswer: 11335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/(-25)*(-22)\/(440\/(-300))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-27)*6\/10?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -4*h - 12, -4*f + 2 + 2 = 4*h. Let y be 8\/28 + 94\/14. Is (h + y)\/(6\/33) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (4 + -3)) + -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29.18 - -28.78. Let f = 52 - 49. Which is the nearest to 0.3? (a) m (b) f (c) -6\/5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -s**2\/2 - 4*s + 48. Let z(o) = -4*o - 17. What is -26*y(m) + 6*z(m)?\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 0. Let w be z + -2 + 4\/2. Let r be w*(2 - 4) + -1. Are r and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*u**2 - u**2 - 3*u**2)*(-343 - 24 - 176 - 246) to r*u + k*u**2 + z and give k.\nAnswer: -1578","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sa when two letters picked without replacement from {a: 2, l: 2, g: 1, s: 2, c: 5, i: 1}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 790134?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a decade in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-216)\/1056)\/(9\/(-24))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1818252 by 606084.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/813951 >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*i**4*z**2 + 161*i**4*z + i**2*z + 378*i*z - 2*z**2 wrt i?\nAnswer: -240*i*z**2 + 3864*i*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((4*(sqrt(8)\/sqrt(2)*1 - sqrt(16)\/sqrt(4)*1))\/((sqrt(2) + (sqrt(2) - sqrt(4)\/sqrt(2)*-5))*5*1))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 3.8\nAnswer: 7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3 or -1138?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13814 and 0.3.\nAnswer: 4144.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, c: 5, a: 2, e: 5, v: 5}. What is prob of picking 1 e, 1 a, and 1 c?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -1, 314\/5, -21487, -0.4 in ascending order.\nAnswer: -21487, -1, -0.4, -1\/6, 314\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (24\/(-98))\/(2\/7)*-35. Find the common denominator of -7\/52 and (49\/k)\/(14\/21).\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -390*p**3 + 722*p**3 - 329*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1662 and 8722730.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 - 43. Let c be 1 - 3 - (-18 - -14). Let d be (-3)\/c*((-49)\/15 + 3). What is the closest to z in -0.09, d, -0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 2:22 PM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 439766.\nAnswer: 2, 31, 41, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 246783 divided by 246783\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 - -2) + (9 - (-17 + 17)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 98151 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**2. Let c(n) = 9*n**2 - 5*n - 4. Let q be c(1). Let b(z) be the second derivative of 2*z + 2\/3*z**3 + 0*z**2 + q. Calculate v(b(s)).\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1554 is divided by 181?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -52404?\nAnswer: 52401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 + 27 + 90)*(-2 + 3*j + 2).\nAnswer: 438*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/(sqrt(144)\/sqrt(6)))**2.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 99303876 to the power of 1\/2, to the nearest integer?\nAnswer: 9965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 - 99 = 6*m. Is (184792\/(-28))\/(m\/21)*4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0 - -5) + 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((42 - 52) + 9 + -1 - 0) + -25.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - 1304859521\nAnswer: -1304859521.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*w**3 + 3*w**2 + 43*w**3 + 8*w + 2*w**2 - 5*w**2 + 2*w**2 in the form h + z*w**3 + o*w**2 + d*w and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 13) to base 11.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (152\/(-228))\/((((-5)\/24)\/(-5))\/(55\/10)).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2729119578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (1 - 5) + 2 + (0 + 5 - -45)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5*-1*sqrt(2057)*2 + -5*(1 + (sqrt(2057)*-2 - sqrt(2057))))**2.\nAnswer: -205800 + 2200*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 259594.36*-13\nAnswer: -3374726.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, i: 5}. Give prob of picking 1 o and 1 i.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p = 41 - 5. Suppose 12 = 2*x + 4*k + 6, -x + 5*k = -p. Is 2 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 7:44 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 17*s - 3. Let h(c) = 26*c - 5. Determine 5*h(y) - 8*l(y).\nAnswer: -6*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1798559, -3597112, -5395661, -7194206, -8992747, -10791284?\nAnswer: -12589817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -4, -61, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7449 = -1001*n - 309 - 3253 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from hhwhsiwis.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -3 + 1\/3*m**3 + 0*m**5 + 2*m**6 + 0*m**2 + 8\/3*m**4 - 4*m. Find the third derivative of c(f) wrt f.\nAnswer: 1440*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25.68898 + 0.00102. Let d = -0.31 - t. Let g = -25.8 - d. What is the smallest value in g, 0.3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k*k*k*k\/((k**10*k)\/k)*k*k)*k**4*k**(-9)\/k**6 assuming k is positive.\nAnswer: k**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -40*k + 44*k. Let w(u) = 2*u - 6. Let c be w(5). Solve c = 3*l + k for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 14) to base 15.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1436 divide 10175496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 441336 or 0.84?\nAnswer: 0.84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/27 and -71\/1395?\nAnswer: 4185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 57685 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -313*j - 2445. Calculate g(-7).\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 4*h - 11. Let w = 552 - 547. Give n(w).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -4*p**3 - 11588*p**2 - 3946300*p - 3934716 = 0.\nAnswer: -2503, -393, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 21*f - 2. Determine j(2).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 295226*v**2 + 198524*v**2 - 195422*v**2 + 327723*v**2.\nAnswer: 626051*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 8 = 3*d, -17 - 9 = -2*n - 4*d for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z**2 + 13226. Let a(b) = 9*b. What is a(g(o))?\nAnswer: 36*o**2 + 119034","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1078074?\nAnswer: 2, 3, 101, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 1\/7 (b) -3 (c) -2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -667 + x + x**3 + 1356 - 685 - 5*x**2. Let d(q) = q**3 - 3*q**2 - 3*q. Let o be d(4). Determine g(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 863392.8ug?\nAnswer: 0.0000008633928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 8*m + 6. Let u(a) = -a - 1. Determine -3*d(v) - 21*u(v).\nAnswer: -3*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 171923.4 - 171924. Let f = -2 - -7. What is the closest to u in 1, -3, f, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/((-900)\/(-162)))\/(-117).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6066302 and 6066302.\nAnswer: 6066302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 482261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + (-4 - -1) - 3) + (12 - 10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/6 + (-72)\/(-27). Find the common denominator of 6 + -8 + d + 168\/(-100) and -49\/11.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g**2 + 27 - 24 - 113)*(-66 - 58 + 28) in the form s + r*g + p*g**2 and give s.\nAnswer: 10560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -2221*h + 2226*h - 60, 5*h - 96 = -7*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-90)\/(-35))\/((5043\/2296)\/41)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Divide 1983 by -1.\nAnswer: -1983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 - 20*d.\nAnswer: -2*d*(d + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3*a = -279, 0 = -p - p - 4*a + 192. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -3.94. Let x = -1.4 + 1. Which is the nearest to 1? (a) 2 (b) l (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21654 + 21657. Sort -6, 1.7, -0.08, c in descending order.\nAnswer: c, 1.7, -0.08, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2688 + 2684. Suppose 4*n - 3*f + 33 = -2*f, 2*f = 5*n + 45. Let w = n + 29\/4. What is the third biggest value in w, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1611649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72707372?\nAnswer: 2, 18176843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0)*(-2260 - 1079*c + 2260)*(6*c - 4*c - 5*c).\nAnswer: -3237*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 271014652 and 1060?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 28*d**2 - 100*d - 49. Give q(-31).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -455*s + 7537 = -84*s - 6932 for s.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 7*r. Let f(u) be the first derivative of -73*u**2\/2 - 1834. What is f(m(g))?\nAnswer: -511*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9 + -7 + -2)*(-3)\/(-12). Solve -12 = -z*w - 3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o - 43. Let y be h(-13). Let a(g) = -19*g**3 + 5*g**2 + 4*g + 2. Is a(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3810, 1, -3\/2, 2\/7 in decreasing order.\nAnswer: 3810, 1, 2\/7, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 729225?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q**2 + 9*q - 8. Let f(t) = -t**2 - t - 3. Let p(g) = 2*f(g) - v(g). Let b(s) = s**3 + 5*s**2 - 21*s + 5. Calculate 2*b(i) - 5*p(i).\nAnswer: 2*i**3 + 13*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 658 divided by -6\nAnswer: -329\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2798 is divided by 406.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -y**6 - 7*y**2\/2 - 1. Find the second derivative of p(z) wrt z.\nAnswer: -120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2757573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2427.\nAnswer: 3, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -470066, -470073, -470080, -470087?\n\"Answer: -7*k - 470059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000105 to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 - 123886692*b - 123886696.\nAnswer: 4*(b - 30971674)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -24.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -59165\/46 - -1286. Let o = f - -2\/69. Let p be -3 + (-6 - 36\/(-3)). What is the third smallest value in p, 5\/2, o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2197 times -3\nAnswer: 6591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -346 + x - 3*x + 198 - 2*x + 148.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 + 0*b**2 + b**2)*(6*b**3 - 59*b**3 - 204*b**3).\nAnswer: -1028*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -b4?\nAnswer: -b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -0.1411 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3 - 26*f**2 + 56*f.\nAnswer: -f*(f - 2)*(f + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301*b + 63 = -294*b for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2101 + 2101 - 15*p**2 + 13*p**2. Let h(z) = -992*z**2. Give h(i(r)).\nAnswer: -3968*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 14*n**3 + 69*n**2 + 134*n + 1. Calculate x(-2).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*w - 80 = 21*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 2*s**2 + 4*s. Let r(c) = c**3 + 2*c**2 - 5*c - 1. Let f(v) = 4*r(v) + 5*t(v). What is f(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 231615 + 16301?\nAnswer: 250116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 729271 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/9*(-110)\/(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -1. Let r(u) = 5*u**2 - 5. Determine -5*f(m) + r(m).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-228)\/16*20\/10*(-36)\/(-27)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h + 4. Let x(n) = -n - 2. What is 4*b(o) + 9*x(o)?\nAnswer: 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2102624\/45 + (-6)\/(-27). Let g = -46548 + m. Let d = -12529\/70 + g. Find the common denominator of d and -75\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/4)\/((-102)\/(-136)). Let w be (-7)\/((-245)\/(-56))*t + 6. Find u, given that w*u - 4\/5 + 8\/5*u**2 = 0.\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/10)\/((-4)\/(-10)). Let k(h) = 4*h**2 + 5*h + 3. Let t be k(c). Let j = 48 - t. What is the highest common factor of j and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -682131 minus 4?\nAnswer: -682135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.273 - -0.396. Round r to two decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*t - 89 + t + 8*t - 9*t to the form r + a*t and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3392320 and 40520.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00041878 to six decimal places.\nAnswer: 0.000419","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/2)\/(((b**2\/b)\/b*b)\/b))\/((b\/(b\/(b*(b**(-3\/2)*b)\/b)))\/(b*b\/(b**(1\/5)*b)))*(b**(2\/3)*b)**19\/(b\/b**4*b**(-4)\/b) assuming b is positive.\nAnswer: b**(622\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -0.3 (c) -2\/15 (d) -1 (e) -6904 (f) -20 (g) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zln when three letters picked without replacement from lzllzzxiznnzzxzzzlz.\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -6*n. Let m be (-2)\/(-3) - 24\/(-18). Let h(o) = -4*o**m + o**2 + 5*o**2. Give h(w(a)).\nAnswer: 72*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 divided by -3?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-3)*0\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2)*x*x**(-2)*x**1*x**(-1\/8) assuming x is positive.\nAnswer: x**(-17\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23\/5 in -5, 3\/4, 319?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53.2 + 53. Suppose 12 = -5*l + 27. Which is the nearest to r? (a) 2\/5 (b) l (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-513 - -539) + 1 + -27 + (-25 - -2).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -182, -201, -220, -239?\n\"Answer: -19*b - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3\/7 + 16493*j**2\/7 + 22549592*j\/7 - 326608048\/7.\nAnswer: (j + 2756)**2*(3*j - 43)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**15*b**(9\/7))**9 assuming b is positive.\nAnswer: b**(1026\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*d**2 - 88*d**2 + 2*d + 44*d**2 + 2*d**3 + 1 to q*d**3 + p + i*d**2 + h*d and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*m + 3*m. Suppose -m*o - 14 = -q, -5*q + 0*q + 4*o = -40. Differentiate -7 - 2*p**q + 4 + 4*p**4 wrt p.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2 - 1 = -3*w, -5*h - 2 = -4*w. Let j be (20\/w)\/(86\/129). Solve 25*q - j = 23*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1239*-5\nAnswer: -6195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 3*w**5\/7 - 492*w**4\/7 - 2517*w**3\/7 - 3042*w**2\/7 = 0.\nAnswer: -3, -2, 0, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.06441 milligrams in kilograms?\nAnswer: 0.00006906441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3438?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5 = 0, 0 = u - 3*h - h - 2. Let y be u\/(-9) + (-6)\/(-9). Suppose y = q - 3*q + 24. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*v**2 + 45*v**2 + 55*v**2 in the form x*v**2 + b*v + q and give x.\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 141774300?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 110? (a) 0.547 (b) 5 (c) 1\/4 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 24*v**2 + 8*v - 1. Let o = -46 - -52. Is h(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-40)\/(-60))\/(2\/(-213)). Let a = 74 + c. Solve -2 - 14 = -4*m + 4*r, 4*m = -a*r + 23 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195112 greater than 195136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18.15 + -0.15. Let x = 15 - q. What is the closest to -1 in x, -3\/7, -1\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31189 = -t + 230*v - 226*v, 0 = -4*v + 36. Is t a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*j - 2*a, -2*a = -7*j + 2*j + 20. Suppose -3*p + 4*x = 33, 3*p - 5*x + 29 = -j. Let b = 15 + p. Is b a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2043 (base 5) to base 12.\nAnswer: 1a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**2 - 1. Let i(q) = -2*q**3 + 28*q**2 + 10. Determine -i(x) - 10*n(x).\nAnswer: 2*x**3 - 48*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 40254\nAnswer: -120762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60156?\nAnswer: 2, 3, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-5)\/((-285)\/2))\/((-178)\/267)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 8*j**2 + 21*j + 15. Let x be t(-10). What is the greatest common factor of 1735 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1332512 divided by -4.\nAnswer: -333128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 4. Let r = 2 - a. Find the second derivative of 6*n**2 + 4*n - 7*n**2 + 5*n**2 + r*n**2 wrt n.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1600\/7 + 1\/7*f**2 + 80\/7*f = 0.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 117 - -10. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40 + -73. Let o = s - -32. Which is bigger: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4646011?\nAnswer: 283, 16417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, w: 2, o: 4, z: 2, r: 2}. What is prob of picking 1 g and 1 z?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 240\/7 - 34. Suppose -2*f + 30 = f. Put f, 5, h in increasing order.\nAnswer: h, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 70 = -5*y, -6 - 2 = 2*y. Suppose 5*p = m + b - 1, 0 = 5*m - p. Let i be (-4)\/(-2)*m\/2. Is 1\/6 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4 = -8. Let k(h) = -6*h**2 + h**3 + 1 - h**2 + 12*h**r + h - 4*h**2. What is the remainder when 117 is divided by k(3)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 44680.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f\/((f*f**(-1\/4))\/f)))\/f*f)\/(f**(-1\/13)\/f)*f**(-4)\/f**(-6))\/(((f*f\/f**(2\/11))\/f**(-6))\/(f**(2\/5))**(-50)) assuming f is positive.\nAnswer: f**(-14295\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 7*z - 9. Let x be t(5). Suppose -m + x = 2*m. Calculate the remainder when 49 is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - -2 - (195 - (40 + 23))) + 2 + 1?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 1. Suppose 6 = 2*o - i, -5*o - i + 22 = -0*i. Let q be (3 + (-48)\/15)*1. Put r, q, o in descending order.\nAnswer: o, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3814 - -3830. Solve -9*f - 4*i - 4 = -6*f, 3*f = 2*i - v for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84978 rounded to the nearest one thousand?\nAnswer: 85000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28 in 13, -0.2, -1, 3, -0.3, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 9. Let r(c) = -48*c**3 - 7*c**2 + 2*c + 44*c**3 + 6 + 14*c**2. Let i(p) = -3*p**3 + 6*p**2 + 3*p + 5. Let t(b) = -3*i(b) + 2*r(b). Give t(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1049077687*g + 750097674 with respect to g.\nAnswer: -1049077687","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -563, -1033, -1503, -1973, -2443, -2913?\nAnswer: -3383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 - 13. Suppose -z - 5*a = 3 + 17, 4*a = 3*z - x. Suppose 3*y + z = -q + 10, -5*q + 50 = -4*y. Calculate the lowest common multiple of 16 and q.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 993589 to the power of 1\/3, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 261, -3, 0, -4, 5.\nAnswer: -4, -3, 0, 5, 261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2cc + -3?\nAnswer: 2c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2231621?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 472007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 4 = -2*t. Suppose t = 2*k - 4. Suppose -k*n - j = -8 - 45, 3*n - 2*j = 47. Solve -10 = 2*h - 3*r, h + n = 6*h + 3*r for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 237, 1788, 5981, 14136, 27573?\n\"Answer: 220*p**3 + p**2 + 8*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-5 - (0 + 14))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 226, 205, 184, 163?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**1)**(-34))**(3\/10) assuming b is positive.\nAnswer: b**(-51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -2 (b) 28116 (c) -1\/4 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 3 = -c, 5*c = -2*l + 275. Let k be 31*1\/(6\/(-2) + 4). Let d be k\/2 - (52\/8 - 6). Calculate the highest common factor of l and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1093125 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1349.854 - 367550.\nAnswer: -366200.146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1165 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -1. Let w be q\/(-2 + -2)*-2. Let o be 2\/(-15) - (-6714)\/(-270). Is w > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -13*h**2 - 4\/15*h**5 + 11\/6*h**4 - 30 + 0*h + 2*h**3. Let z(a) be the second derivative of m(a). What is v in z(v) = 0?\nAnswer: -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - l + 542867 - 542849 = 0, -4*u - 30 = -l for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, -63, -195, -369, -579, -819?\nAnswer: -1083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 4*f - 1. Suppose 0 = -2*i - i. Suppose i = 4*t - 6 + 34. Let k be v(t). Solve -2*o = 2*o + k for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 231 = -1443. Let c = -1 + 6. Suppose a = c*d - 34. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*s + 0*s + s)*(6*s**2 + 9*s**2 + 6*s**2).\nAnswer: -273*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from -87.9202874278.\nAnswer: -88.3202874278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 4:28 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 116 = -4*n, -5 = -15*r + 10*r. Let a(g) = -2*g - 68. What is a(n)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -0.3 (c) 0.4 (d) 1.5 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o + 14*o = 17*o + 22635. What is the remainder when o is divided by 74?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -163\/55 + -6887\/330. Calculate the common denominator of -121\/18 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 2*c**2 - 2*c - 2. Determine i(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, e: 4, n: 2, s: 2, c: 6, o: 2}. Give prob of picking 2 e.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -10*a - 1673. Let m(j) = -3*j - 1. What is g(i) - 4*m(i)?\nAnswer: 2*i - 1669","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 1153*w**2 - 6*w - 30. Let j(p) = 2450126*p**2 - 12749*p - 63745. Determine -6*j(z) + 12749*n(z).\nAnswer: -1159*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10986867?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002749 to 4 decimal places.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -277, -282, -289, -298?\n\"Answer: -c**2 - 2*c - 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55140196 and 10?\nAnswer: 275700980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -2) + 0 + -4 + (29 - 23)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.29 - -0.79. What is the nearest to 1\/2 in j, -3, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 641031.5 millennia to centuries.\nAnswer: 6410315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1677 and 12298.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2*5\/2*-38*2291\/(-15010)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of 0*f + 0*f**4 - 13\/60*f**5 + 11\/6*f**3 + f**2 + 0. What is the first derivative of q(g) wrt g?\nAnswer: -26*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (-23 + 30 - -2 - (2 - 0))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -23 + 20e?\nAnswer: 1eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventeen halves of a centimeter?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/1 - 54\/(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/6)\/((-36)\/567) + -4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003 times 5?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-10)*8*70\/20.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q - 429 = 8*q. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10*4\/232)\/((-460)\/((-552)\/(-6)))?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.33 + -0.93. Let x = o - 1.4. What is the second biggest value in -3\/5, -2\/23, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -15*u + 0*u**2 + 0*u**3 - 43\/12*u**4 + 0*u**5 + 37\/56*u**8 + 0*u**7 + 0 + 0*u**6. Find the third derivative of n(y) wrt y.\nAnswer: 4440*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -2 - (2 - 9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -372 divided by -217101?\nAnswer: 124\/72367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2329*v - 39580. Give r(17).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -95*0.2\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y + 1. Let w be k(-2). Let h be w\/12*3*4. Solve 11 = -2*l - 0*l + h*d, 2*l + 16 = 4*d for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(((-30)\/27 - -1)*-1). Is b <= 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 574721*a**3 - 4403. Let o(g) = 783*g**3 - 6. Calculate 4403*o(r) - 6*s(r).\nAnswer: -777*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10 (b) 2\/17 (c) -1 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k + 18. Give v(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r - 2. Let y(f) = f**3 - 17*f**2 + 20*f - 61. Let h be y(16). What is l(h)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (247 - 507 + 262 + 223*u)*(-u + 7*u + 0*u) + u**2 - 2*u**2 + 6*u**2.\nAnswer: 1343*u**2 + 12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 295*q - 873. Let o be k(-3). Solve -o*u = 26 - 8 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, r: 1, u: 4, z: 1, w: 3}. What is prob of sequence zrwi?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*(d**(1\/3)*d*d*d*d)\/d)*d**(2\/13)*d**(-5)\/d**(-5\/2))\/((d\/d**(2\/5))**31)**(-4\/15) assuming d is positive.\nAnswer: d**(-1403\/1950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 10, h: 9}. What is prob of sequence wwh?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 11*i - 8. Determine s(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -55 + 64.2. What is v rounded to 0 decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -2.334, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -1\/5, -71 in descending order.\nAnswer: -1\/6, -1\/5, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 90948 a multiple of 318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {o: 4, r: 5, v: 5, g: 6}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 89460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**3\/6 - 9284*p**2\/3 + 28724695*p\/2 + 28737075 = 0?\nAnswer: -2, 9285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23940225*x*z - 2*z - 100702025 wrt x?\nAnswer: -23940225*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19106265?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -1007*d**2 - 20 + 1005*d**2 - 25*d + 20 + 30*d**3 as v*d**2 + w + z*d**3 + c*d and give c.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3 = -12*u + 9*u, 5*u + 3*d = -5. Put 0, u, -235 in decreasing order.\nAnswer: 0, u, -235","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 13) to base 11\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.23 and 0.2?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26*6\/(96\/8).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, 3, -2, -176, -4\/9, -0.03, 2\/39?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 124 - 121. Suppose 0 = -a - 2*a - k, 0 = 2*m - 5*a - 33. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-208)\/(-48))\/(-4 - (-55)\/15).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4791 is divided by 677?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 92*u**2 - 2119*u + 39. What is k(23)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 - -4143?\nAnswer: 4125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 141452.76 to the nearest 1000.\nAnswer: 141000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -10*(-109 + (-1594747)\/(-14630))\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*k - 175. Let w = 23 + -16. Let n(s) = 2*s - 2. Calculate the remainder when k is divided by n(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 0. Suppose 4*v - 12 - 13 = -5*c, 3*v + a*c = 18. Solve -x = -4*p + p - 5, -3*p = v*x - 25 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38995 = 14*p - 69*p. Put p, 5, 1 in descending order.\nAnswer: 5, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32835?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + ee05?\nAnswer: ee03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2 = 0, v + 4*n + 0*n = 11. Suppose 0 = v*k - 22 - 2. What is the smallest common multiple of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 372351 + -45?\nAnswer: 372307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 1947 - 384 = 0. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32029 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 4*p**3\/3 + p**2\/2 - p + 1. Let z(d) = -7*d**2 + 1 - d - 4*d + 4*d. What is 5*q(h) + 3*z(h)?\nAnswer: -h**2 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36280, -36277, -36274?\nAnswer: -36271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 2 - (-64)\/(-10)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0424 - 8.5736. What is y rounded to 1 dp?\nAnswer: -8.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.57 rounded to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12011058 to the power of 1\/3, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-92 - -83 - (-11 - -1 - 0)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 36 = -5*x, -5*w - 4*x - 4 = -0. Let t be 0 + w + (-3960)\/(-1001). Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-38)\/6 + (-50)\/30. Sort c, -5, 4.\nAnswer: c, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 26, 81, 172, 299, 462, 661?\n\"Answer: 18*j**2 + j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10423684?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 2*r, a + 2*r = 5*a. Solve a = 3*y + 3 - 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71984, 72286, 72576, 72848, 73096?\nAnswer: 73314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-825)\/9 + 4)\/(88\/(-6)). Let n = -25\/4 + c. Let u be (-2)\/3 - 5\/15. Is u > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 8*m**2 + 5. Let y = -11 + 3. Let x be b(y). Sort -2, 1, x in increasing order.\nAnswer: -2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90834 > 90828?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 382170812701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 234 + -103444?\nAnswer: -103210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 - 0. Do r and -1\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3, -13, -2.7, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of 0 + 0*l**2 - 5\/21*l**7 + 0*l**6 - 11*l + 0*l**3 + 0*l**5 - 1\/3*l**4. What is the third derivative of z(k) wrt k?\nAnswer: -600*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1902814871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 8:24 PM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 2\/9, -28, -1\/2, -40?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13198, 24256, 35322, 46402, 57502, 68628, 79786?\nAnswer: 90982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 0 + 0*o**5 + 1\/40*o**6 + 1\/2*o**3 + 3*o**2 + 0*o + 0*o**4. Find the first derivative of w(k) wrt k.\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 1 + 4 = -5*k, -k - 1039 + 1058 = 4*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12706 is divided by 6348?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 8 + 5 + 13 - 27 + l. Let t = -52 - -50. Let q(f) = -4*f + 1. Suppose 4*c + 2*k + 21 - 7 = 0, 15 = -5*c - 2*k. Give c*q(m) + t*z(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -3, 2, 0.06075?\nAnswer: 0.06075","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12106 - 7163 = -1115*o + 4146 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 724340 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + 4 = -8*g + v, -3*g = -v + 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + 2\/(-2)*1. Suppose -w*p - p = -6. Solve -i - 2*k = -0 + 8, 0 = 5*i - p*k - 20 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 5*j**2 + 3*j - 2. Let m(g) = 3*g**2 + 2*g - 1. Let k(c) = -4*h(c) + 7*m(c). Suppose 0*s + 15 = -5*s. Give k(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 163268 and 40068.\nAnswer: 233636508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1863480695 rounded to two dps?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (-31 + 9) - (-40)\/(-8) - -18?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11 + 1)\/((-5)\/25*-5). Which is bigger: g or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of 145*l**9\/126 + l**5\/20 + 145*l**3\/6 + 1704*l**2 - 2*l. What is the third derivative of o(k) wrt k?\nAnswer: 69600*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 4 = -3*p. Let q be (p\/(-2) + 0)*-154. What is the greatest common factor of 11 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.853084073 rounded to 2 dps?\nAnswer: 0.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -6*c - 27. Suppose 53 + 28 = 3*u. Let i(k) = -k - 4. Calculate u*i(a) - 4*s(a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z**3 - 2*z + 21*z**4 - 16*z**4 - 3*z**3 to g*z**2 + x*z + c + f*z**4 + i*z**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6277575 is divided by 148.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -146547, -146380, -146213, -146046, -145879, -145712?\nAnswer: -145545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/135 - (-1)\/(-45). Let f = 280\/2299 + -2\/121. Sort s, f, 0 in decreasing order.\nAnswer: s, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1396, -3\/4, -2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-6))\/((-4)\/(-216)). Let q be ((-33)\/w + 1)\/((-2)\/12). Suppose -21 + 186 = q*x. What is the highest common factor of x and 231?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -3. Suppose -i*z + 11 = -5. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7893 - 7826. What is the remainder when (-1)\/(-2) - (-790)\/4 is divided by l?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13920?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x + 30. Let q be w(-18). Let b(v) = v + 9. Calculate the remainder when q\/(((-20)\/15)\/4) is divided by b(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**3 + 0*c**3 + 1 - c**2 + 1661*c - 1664*c + c**3 - 28*c**2 - 4*c**4 to m*c**4 + f*c**3 + i + d*c**2 + p*c and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2505\/(-2004) - (0 + (-70)\/(-8)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 45 = 6*k. Let w be (0 - -1)*3\/k. Let s = 4.0587 - 0.0587. What is the smallest value in s, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 + 22 + 38 - (2 + 14)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12\/(-21))\/(-2))\/((-4)\/(-84))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of s**6\/120 + s**5\/3 + 43*s**3\/3 + 10*s**2. Find the first derivative of u(o) wrt o.\nAnswer: 3*o**2 + 40*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2155*i - 202 = 4*c - 2150*i, 0 = -3*c + 8*i - 128 for c.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 7:40 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 220 - 230 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**2\/5 + 528*r + 2638\/5 = 0.\nAnswer: -1319, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -4, 17\/13, 2?\nAnswer: 17\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4 + 2*o + o + 1. Let n(m) = -27*m + 262. Let l be n(10). Let t(s) be the first derivative of -9*s**2\/2 + 8*s + 15. Calculate l*j(h) - 3*t(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13058386 is divided by 1768?\nAnswer: 1706","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g**5 - 7986*g**4 - 655484*g**3 - 4921598*g**2 + 14137092*g - 3216400 = 0. What is g?\nAnswer: -68, -11, 1\/4, 2, 1075","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 624.\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/50 - -21\/50. What is the nearest to b in -0.4, 112, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/35*-1*10\/(-4). What is the closest to 0.18 in p, 2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1539 is divided by 699?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + -99829.2\nAnswer: -99829.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 + 50b76a?\nAnswer: 50b776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15351 is divided by 21?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -y**6\/10 - 51*y**5\/20 - 53*y**4\/4 - 7*y**3\/2 + 117*y**2 + 6*y + 49. Solve u(l) = 0 for l.\nAnswer: -13, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -6*y - 40. Let h be m(-7). Suppose -h*v = 10*v + 2*v. Solve v = -u - 2*a - 1, -u = 3*a + 4 - 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 103.234 - 103. Round t to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 345965284 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -528376499, -528376501, -528376503, -528376505?\n\"Answer: -2*c - 528376497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 302128867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1*sqrt(425) - sqrt(425)) + 0 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 3 = 3*t - 1, 5*t = -o - 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 225281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 3*u + 4 + 2*u**4 - 7*u**4 - 6 + 2*u**2 + 3*u**4 as p + m*u**3 + h*u**2 + g*u + l*u**4 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 175 and 275.\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 400\/(-1900) + (-994)\/(-209) + -5.\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89706 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01 and -588?\nAnswer: 5.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2285*w**2 - 52607*w + 23. Determine j(-23).\nAnswer: 1219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -745870, -1491743, -2237616, -2983489, -3729362, -4475235?\nAnswer: -5221108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*a**6 - 48*a**2 - 38*a**2 + 71*a**2 wrt a.\nAnswer: -1200*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 733 is divided by 187?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -l**8\/7200 + l**7\/3780 + l**6\/2700 - 11*l**4\/6 - 36*l**2. Let c(p) be the second derivative of a(p). Factor c(u).\nAnswer: -2*u*(u - 1)*(7*u + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -58289090497?\nAnswer: 58289090492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2413 - 1602. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/3*1\/7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 59683178?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 486?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffgvuffau. Give prob of picking 1 u and 2 f.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -0*j - 4*f - 6, 4*j = 5*f + 13. Calculate the least common multiple of 30 and (-288)\/(-30) + j\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395 is divided by 137.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*j + 23*j + 40131 = 0. Calculate the highest common divisor of 13 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 4, -3, -78, 90?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of 0*q**3 + 1\/12*q**4 + 0 + 0*q - 2*q**2. Let p(l) = -6*l**2 + 47 - 47. Give p(v(o)).\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 4*g - 7, y + 13 = 5*g - g. Suppose -3*m = -6, -2*h + 3*h - y*m = 63. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46135027?\nAnswer: 29, 229, 6947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((4 - -1) + -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12562913.\nAnswer: 11, 1142083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 3 + 0)*(-1 + 1 - o) + o - 2*o - 6*o)*(53*o - 53*o - 2*o**3).\nAnswer: 18*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.069 - -25.069. Let u = o - 22. Let v be ((-1)\/2)\/(22\/55). Which is the closest to 1? (a) u (b) 3\/4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220 (base 4) in base 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1160629583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 4*x = -6. What is the tens digit of 5\/(5\/x) - -13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -56*l**3 - 39*l**2 - 73*l + 4. Calculate the remainder when u(-2) is divided by 61.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1868398 months in centuries?\nAnswer: 0.0018223665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 4, -2, -4, 2, 649, 5 in decreasing order.\nAnswer: 649, 6, 5, 4, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/(-15))\/(4\/(-12)))\/((-135)\/((-18900)\/(-112))).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 287027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxcxkckckxxxckckkk. Give prob of picking 4 k.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*(21\/6)\/(-7). Let g = -7 + 12. Suppose g*l + 2 = 32. Solve f*z = -2*z - l for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7\/1634 + 20106\/211603. What is the common denominator of 9\/2812 and d?\nAnswer: 19684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1708529167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -2*g + 8, -g = 3*z - 0*g + 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 - 5*w - 1. Let n be v(5). Solve 5*c + n - 9 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16840?\nAnswer: 2, 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2150659.\nAnswer: 7, 43891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mv when two letters picked without replacement from pppdmdpvpbdddd.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1499*j**3 - 309*j**3 - 535*j**3.\nAnswer: -2343*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 4628*n - 130*n - 396*n + 603*n + 1091*n in the form q*n + o and give q.\nAnswer: 5796","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5*t + 5, -2*t - 2*b = -0 - 2. Let d be (t\/(-2))\/(-1 + 152\/144). Let k(u) = -u - 1. Give k(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttt. Give prob of sequence tt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2022121 (base 3) in base 7?\nAnswer: -4633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 4*y**2 + 11*y + 1. Let g be x(6). Let s(t) = 16*t**2 - 2*t - 26. Let m be s(g). What is the highest common factor of 48 and m?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -457, -923, -1389, -1855, -2321?\n\"Answer: -466*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 71 - 53. Let s be (-4)\/(-3)*486\/99. Let v = s + -6. Which is the closest to 0.1? (a) u (b) v (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 2:01 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/5 (b) -4\/9 (c) -16 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p + 13. Let m be (-27)\/(-18)*2\/3 - -5. Let t be -4 - ((-6)\/4)\/(m\/(-12)). Let y(d) = d**3 + 7*d**2 - d - 16. Let k be y(t). Give h(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3797 + 4*p**2 - 9*p**2 + 0*p**2 + 6*p**2 + 2*p. Let a be x(0). Suppose a = 5*k + 17097. Round k to the nearest 100.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**2 - 3*u + 2. Let a be t(1). Let n(f) = -f**3 - 3*f**2 + 2. Let i be n(a). Differentiate 0*h**2 + 2 + 0 - 2*h**i wrt h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 13990, 27981, 41972, 55963?\n\"Answer: 13991*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3260 at least as big as 0.10656?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -396, -2182, -7040, -16506, -32116, -55406, -87912, -131170?\n\"Answer: -256*k**3 + 6*k - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from daedaaeaddda. Give prob of sequence daa.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50278172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**4\/7 + 21915*u**3 - 919926*u**2 + 12876612*u - 60085368.\nAnswer: -3*(u - 51093)*(u - 14)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14 and -0.04?\nAnswer: -0.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110020 (base 3) to base 13.\nAnswer: 1c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15135600 rounded to the nearest one hundred thousand?\nAnswer: -15100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, 5, 4, -0.58, -7, -2 in descending order.\nAnswer: 5, 4, -4\/9, -0.58, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1706.9 - -1810. Let d = -103 + a. What is the nearest to 1 in d, -1, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -22291 (b) 2 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/(-10))\/(57\/3325). Calculate the highest common divisor of u and 448.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -681 + 681 + 68*s**4 + (2*s - 4*s + s)*(0*s + 2*s**3 + 0*s) + 3*s**4 + 3*s**4 - 5*s**4 + 1 - 1 - 2*s**4 - 5*s**4 + 33*s**4 - 4*s**4.\nAnswer: 89*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}