diff --git "a/data/dm_maths/full_data_1/10671_11255.jsonl" "b/data/dm_maths/full_data_1/10671_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10671_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: 0 times -5429\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of 0 - 98\/3*p**4 + 4\/7*p**7 + 0*p + 0*p**3 - 1\/84*p**8 + 28*p**5 - 78*p**2 - 253\/30*p**6. Factor r(b).\nAnswer: -4*b*(b - 14)**2*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000351 rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*m**5 - 901*m**4*s + 25*m**2*s + 2*m**2 + 2*m*s + 32*m wrt m?\nAnswer: 180*m**2 - 21624*m*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 - 4*k**2 + 3*k**2)*(0*k + 0*k - k) - k**2 + k**2 + 5*k**3.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 88*m - 22. Let x(z) = -73*z + 22. What is -5*c(b) - 6*x(b)?\nAnswer: -2*b - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 + 19 + 18 - (24 - 0).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, m: 6, p: 1, d: 6, z: 2}. Give prob of picking 1 m, 1 p, and 1 d.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b**2 + 3*b**2 - 5329 - 5334 + 10663.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-31)\/x**(3\/35)*x**(-33)\/x*x*x\/((x\/x**(-4\/3))\/x)*x assuming x is positive.\nAnswer: x**(-6659\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 10:53 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -c - 2*x, 5*x = -2*c + 3*c + 23 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19097923 to the nearest integer?\nAnswer: 4370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -15326640 rounded to the nearest one hundred thousand?\nAnswer: -15300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186759?\nAnswer: 3, 6917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*o - 1884 = 15*o. What is the remainder when o is divided by 64?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.737078 centimeters in micrometers?\nAnswer: 27370.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 8:12 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lg when two letters picked without replacement from qgeqqqeveeovveeeogel?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 25\/36 + (10 - 688\/64). Which is the biggest value? (a) -0.02 (b) -0.3 (c) -4\/3 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 0.329\nAnswer: -0.658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33674.\nAnswer: 2, 113, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 12:31 PM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1106383526 to the nearest integer?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -3*l - 2*h, 5*l - 49 = -3*h + 133. Let f = 52 - l. Suppose -2*p = m, -6 - 19 = 5*p. Calculate the lowest common multiple of f and m.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5326 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 575 and 2415?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*s = -2*i - 10, -2*s + 3*i - 20 = 0. Let x be 257\/5 + 4\/s. List the prime factors of 1\/3*1*x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 2*w**2 - 3*w + 2. Suppose -3*q + 4*q + 15 = 0. Let u = -12 - q. Determine c(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5607c5 (base 14) to base 13\nAnswer: -7b37c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -931*z - 1233. Give q(-3).\nAnswer: 1560","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 5. Let n be i(0). Let v(q) = 2*q - 4. Suppose 17 = 3*a + 5. Let o be v(a). Sort -5, n, o.\nAnswer: -5, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 0) + (-10)\/5. Let q(z) = -44*z**2 - 2*z + 221. Let u(l) = 175*l**2 + 9*l - 885. Let b(s) = i*u(s) - 9*q(s). Differentiate b(d) wrt d.\nAnswer: 92*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 227 - 106. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, -94, -464, -1190, -2392, -4190?\nAnswer: -6704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of d**6\/120 + d**5\/30 - 5*d**4\/24 - d**3\/2 + d**2. Suppose 3*o = 2*o + 2*m - 1, -3*o - 11 = 2*m. What is g(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*a + 22*a. Let o = -9 + a. Let w be (-21)\/(1*o\/6). Solve 5*r - 1 = w, 5*s + 5*r + 10 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -726, 8, -4, -7, -15 in descending order.\nAnswer: 8, 4, -4, -7, -15, -726","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 10*k + 13. Let j(t) = 12*t**2 + 1. Let l be j(1). Put l, -3, -4, k in decreasing order.\nAnswer: l, k, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + -3)\/(-1) + 408 + -8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.9 + -6.2. Let o = 1.4 + -3.7. Let a = m - o. What is the closest to 1\/2 in -0.2, a, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1832 rounded to 2 dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, p: 1, n: 5, w: 3, c: 1, a: 2}. Give prob of picking 2 a.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 165*o + 363. Let c(s) = 43*s + 1. Let m(z) = 18*c(z) + f(z). What is the first derivative of m(q) wrt q?\nAnswer: 939","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**3 + 2*p**2 - p. Let v be z(1). Let x = 6 - v. Solve -4*s + 5*s - x = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - 2. Let z = w - -13. Suppose o - 3*r + 20 - 3 = 0, 4*o - 5*r + 19 = 0. Solve z + 8 = o*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*p = 165*p - 145 + 2611. Let z(k) = -k**2 + k + 1. Let l be z(-4). Which is smaller: l or p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jbdyjbzzzbzyzvzjdzy. What is prob of sequence jjb?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = x - 190, 0 = 4*f - 3*f - 5*x - 74. Let l = -36 + f. Calculate the remainder when 391 is divided by l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9\/5 - 6*v - 21\/5*v**2.\nAnswer: -3*(v + 1)*(7*v + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - x = 420. Let i = x + 146. Let u = 116 - i. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 2:08 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hcmhuccca. Give prob of sequence mca.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1054 + -1086 + 36 + -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40 + 38. Let v be ((-6)\/d)\/((-10)\/(-100)). What is the greatest common divisor of v and 270?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80\/16 + 0 - -666 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*m - 1752*m - 117507 = 1104*m for m.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3080\/170 + (-16)\/136?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 0.07 (b) 2\/5 (c) -0.3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 0.013908?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 u when two letters picked without replacement from uxuii?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (73 - (-113 - -289)) + 31?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.203*-5.2.\nAnswer: 1.0556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*x - 10997 = 687*x + 8771 for x.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4*u - 3. Let l be 8\/(-6)*(-6)\/4. Let k be t(l). Let v be (-4)\/(-39*(-6)\/(-9)). Which is the closest to -1\/2? (a) v (b) k (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 3*q + 126, -7 + 19 = 4*q. Let k = b + 95. Is k equal to 68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3274 - 2814. What is the remainder when f is divided by 64?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3, -1\/4, 5\/3493, -2, 0, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197171267.\nAnswer: 197171267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5656.\nAnswer: 2, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qfc when three letters picked without replacement from ccfcqcqqf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a**2 + 35*a - 148. Calculate z(9).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -5*a + 245. Find h, given that -2*h**3 + 4*h**2 - a*h + 48 + 141*h - 67*h + 0*h**2 = 0.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130474*x + 24 = -130470*x, -34 = -5*u - 4*x for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1639 is divided by 1536?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/6 + 853*d**2\/6 - 285*d.\nAnswer: d*(d - 2)*(d + 855)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v + 2*i - 6, -2*v + 3*i = -9 + 14 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 7:31 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 7*m**2 - 7*m. Let f be (6\/10)\/((-18)\/90). Let n(v) = -v**2 - 6*v - 4. Let k be n(f). Is 5 a factor of w(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 262\/11 - 24. Let o = -0.3 - -0.8. Put i, o, 5 in increasing order.\nAnswer: i, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -5*v - 20, -10*x + 16 = -4*v - 7*x for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = o + 2, -3*o - 8*r + 11*r - 18 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + 6*p - 4. Let o be m(5). Calculate the common denominator of (-328)\/192 + (-1 - o) and (-4740)\/405*(-12)\/32.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 46925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 3. Let y be (1 - 317\/4) + 37\/148. Let c be (y\/(-24))\/13 - 0. What is the nearest to 10 in g, 2, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 8) in base 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -20*b**3 - 2*b + 1. Let h be v(1). Let y = 13 - 6. What is the smallest common multiple of 88\/14 - (-6)\/h and y?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 579572 = 58*n + 578412 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -108 - -199. Let w = j + -27. Suppose -3*q = q - w. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87063.82 microseconds in milliseconds?\nAnswer: 87.06382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -526 and -30154911509?\nAnswer: 30154910983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*p**3 + 67136553739*p**2 - 67136553739*p**2.\nAnswer: -32*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 555239.5 nanometers in micrometers?\nAnswer: 555.2395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/10 + 17\/30. What is the second smallest value in -3\/7, s, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23265478 to the power of 1\/2, to the nearest integer?\nAnswer: 4823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from fkfkkkf?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/sqrt(5)*-5 - -2*2*sqrt(11).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h**3 - h**2 + h + 1. Let n be w(-1). Let 4*l + 3 + 5*l**2 - 2*l**n - 1 - l**2 = 0. Calculate l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 3933846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -4*w - 3. Let d(p) = 12*p**2 + 3*p - 1. Let o be d(2). Let x(j) = -44*j - 49*j + 141*j - 4 - o*j. What is -6*r(b) + 5*x(b)?\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1188 = 194*t - 62*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**3*j**2 - 83*f**3 + 82*f**2*j**3 + 4*f - 20704*j**3 wrt f?\nAnswer: 6*f*j**2 - 498*f + 164*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-18)*-15*6\/(-27).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 151617785?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(-2\/7)*p)**3\/(p**0)**42*((p**(-2\/7)*p)\/p**(-2))\/(p**0)**(-22) assuming p is positive.\nAnswer: p**(76\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -20*z**3 - z**2 - 5*z. Let h be (1*7\/(-14))\/(2\/8). What is the units digit of k(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-84 + -2)*-1*10\/(-20). Which is greater: -41 or l?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 2025533380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 22389.16 decades?\nAnswer: 2238.916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/33)\/1)\/(1034\/(-3619)*7\/2).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 10*o**2 + 12*o - 14. Let c be h(11). Let z = -3 + 2.99. Let u = z + 2.01. What is the closest to -1 in c, u, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(-4 + sqrt(891) + -2) - (-6*sqrt(891)*1 - (sqrt(891)*1 + 3 + sqrt(891))))*-1)**2.\nAnswer: -4536*sqrt(11) + 128745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 459775954649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -14*n - 256. What is the remainder when 74 is divided by w(-21)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -k**2 - 1471773*k + 1471774 = 0?\nAnswer: -1471774, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of 5*h**3\/6 - 5*h**2\/2 - 8*h - 25. Suppose 2*m = 2*r - r, r - 5*m = 6. Let a(z) = 5*z - 6. What is r*a(o) + 5*n(o)?\nAnswer: 5*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 50687\/6 and 8448 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.175 to one dp.\nAnswer: 10.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 544894 is divided by 272379?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - 44\/(-99)*30)*2\/(-8)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y + 7. Let o(u) = u**2 - 9*u + 8. Let v be o(8). Give p(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dyidyidydd. Give prob of sequence iyd.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 9:44 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 750 - 434. What are the prime factors of b?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11946 or 11973?\nAnswer: 11946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1901*a**4 - 1654 wrt a?\nAnswer: -7604*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 273659760 a multiple of 880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and 0.0477.\nAnswer: -0.477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 11*m**3 - 5*m + 5. Let y(j) = -14*j + 134. Let a be y(10). Let d(v) = 10*v**3 - 6*v + 6. Give a*l(p) + 5*d(p).\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -3 - 22. Suppose 3*p - 3*d - 41 + 11 = 0, -z*p + 10 = 5*d. Is 6 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 12 = -7*j. Let i(b) be the third derivative of 0*b + 1\/20*b**5 + 1\/60*b**6 + 1\/24*b**j + 0 + 0*b**3 - b**2. Determine i(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12449803 is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 3 + 4 + 9 + -23 + -6 - 6\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 15072, 15063, 15048, 15027, 15000, 14967, 14928?\n\"Answer: -3*g**2 + 15075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l - 171 = 2*l - 4*p, -5 = -44*l + 41*l + 5*p - 36 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 804602?\nAnswer: 2, 37, 83, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 600.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-23)\/((-60214)\/(-198)))\/((-6)\/7)\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3286 and 219170.\nAnswer: 11616010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(256) + -3)**2.\nAnswer: -3*sqrt(5)\/4 + 581\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*f**3 + 1\/4 - 3\/4*f**4 + 1\/4*f**5 + 1\/2*f**2 - 3\/4*f.\nAnswer: (f - 1)**4*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -82605125 at least as big as -82605147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20141 = 38*o - 20141. Let b be 17\/(-3) - (-4)\/6. What is the second biggest value in o, b, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1575\/44100 + (-115)\/280\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 + 10\/(-15)*3 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -9*h - 50. What is s(-8)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -3\/2, -0.02, -0.135, -2, 2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -6574.4 to the nearest ten.\nAnswer: -6570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.021 - 21.021. Let x = 38 + o. Let p = x - 21. Which is the third smallest value? (a) -3\/2 (b) 0.4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, k: 11, t: 4}. Give prob of sequence kttl.\nAnswer: 11\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 637*m**2 + 117. Let o(n) = -11*n**2 - 2. Let i be -18 + 34\/2 + 5. Calculate i*f(t) + 234*o(t).\nAnswer: -26*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 8656303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*j - 16*j + 25*j - 33*j - 2*j**2.\nAnswer: -2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1589\/87 + -520\/29. Which is the nearest to s? (a) -0.4 (b) -1\/10 (c) -4 (d) -1\/35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12514 - -126535?\nAnswer: 141251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 624*c**2 + 41*c + 24. What is the tens digit of a(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 i when two letters picked without replacement from {v: 3, i: 1, m: 1, o: 1, w: 5, u: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/50 of a milligram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -113 + -144115?\nAnswer: -144232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23888 is divided by 50.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3\/8 - (27 - (-1518)\/(-55))\/((-8)\/(-45))\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 110 + -110.195. Let b = f + 3.195. Sort 1\/5, -3\/5, b in increasing order.\nAnswer: -3\/5, 1\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**6*w - 262*b**4 - 113*b**2*w wrt b.\nAnswer: 120*b**3*w - 6288*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 1)*((-30022)\/3332 - -9)\/(30\/21)?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-6 - (-6 + 2)) - 6\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -116 - -113. Let l be 150 - (j\/(-3) - -4). Suppose -141*h + l*h - 336 = 0. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(1\/21)\/t)\/t*t)\/t*t\/((t*t*t**3*t)\/t*t))\/(t**8)**(-11\/8) assuming t is positive.\nAnswer: t**(85\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*s**4 + 0*s**4 - 2*s**4 + (-22 + 22 - 32*s**4)*(0 + 0 + 1).\nAnswer: -29*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75585?\nAnswer: 3, 5, 5039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4.3899 or -25?\nAnswer: -4.3899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 69, 0.3, 2261, 5, 0 in increasing order.\nAnswer: 0, 0.3, 5, 69, 2261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1750 is divided by 103.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = m + 4, -2*j - 4*m + 8 + 6 = 0. Suppose -j*t + 6 = -3. Solve p - v - 1 = t*p, -4*v = -12 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1414079, 2828176, 4242273, 5656370, 7070467?\nAnswer: 8484564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + 0 + -5 - (sqrt(3) + -1)*2)**2 + -4.\nAnswer: 8 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -289.83 - -285.83. Let m be (-68)\/30 + 4\/(-10). What is the second smallest value in 0, m, w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213174?\nAnswer: 2, 3, 13, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 332, 622, 870, 1076, 1240, 1362, 1442?\n\"Answer: -21*u**2 + 353*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + ((-14)\/14 - 26)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of 11*t**2\/2 - 3. Let u(a) = 7*a + 5. Let c(f) = f + 1. Let b(n) = 5*c(n) - u(n). Determine b(y(w)).\nAnswer: -22*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2141.648 and 0.2993.\nAnswer: 2141.9473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 42, 72, 126, 204, 306, 432?\n\"Answer: 12*j**2 - 6*j + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2. Let q(d) = 27*d + 2*d - 11*d + 4 + d. Calculate m(q(j)).\nAnswer: 361*j**2 + 152*j + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1569 and 0.3?\nAnswer: 1569.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zznn when four letters picked without replacement from znzzznznnnnn?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0 = -16. Suppose 2*f = -z - 2, 2*z + f - 10 = 4*f. Suppose -z*v + 0*v = -j. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 4 = -5*k. Let n be 66\/(-9)*k\/1. Let l(v) = -26 + 0*v - v + n. What is l(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 17*j - 52. Let o be l(-4). Suppose -3*h + 38 = 2*c - o, 2*c = 4*h + 70. Solve v + 4*f = -v - 24, -5*v = 5*f + c for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22001 + -11?\nAnswer: -22012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -4*u + 3*m, 0*u - 3*m = 4*u + 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.82 and -4412.\nAnswer: -4414.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 8:55 PM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*d**4 - 8297*d**3\/4 + 21767*d**2\/2 - 3395*d - 150 = 0. Calculate d.\nAnswer: -2\/51, 3\/8, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 101.4 - 2524.4. Let z = -2422.5572 - d. What is z rounded to two decimal places?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of g**3 - 3 - 2*g**2 + g**2 + 3*g**2. What is the second derivative of s(m) wrt m?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-6*sqrt(6)\/sqrt(3) + sqrt(12)\/(sqrt(6) - (sqrt(6)*3 - sqrt(6))))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -9*w**2 + 39*w - 6. Let y(h) = -8*h**2 + 39*h - 5. What is 6*r(s) - 7*y(s)?\nAnswer: 2*s**2 - 39*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 555513 and 555513 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a tonne in kilograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - 4*k + 43, 619955*k = -5*d + 619951*k + 69 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-9) - 16\/(-9). Let n = f - -5. Suppose -1436 + 7477 = n*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360226087?\nAnswer: 13, 97, 285667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1286, 2590, 3912, 5252, 6610?\nAnswer: 7986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -979564 = 41*u - 79*u. List the prime factors of u.\nAnswer: 2, 12889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(475) + -2 + 1 + -4)**2 - (-3 + sqrt(304) + -4 + 4)).\nAnswer: -2012 + 216*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159 = 29*u + 43. Which is the second biggest value? (a) 3\/4 (b) u (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**4\/6 + 27539*g**3\/6 + 294113*g**2\/2 - 1847291*g\/6 + 468707\/3 = 0. What is g?\nAnswer: -34, 1, 27571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -980469?\nAnswer: -5\/980469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3977652?\nAnswer: 2, 3, 7, 47353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 2153236 to the nearest 1000.\nAnswer: 2153000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k - 2. Let y(l) be the first derivative of 3*l**2\/2 - l - 39. Let b(o) = -d(o) + 2*y(o). Let h(n) = 11*n + 6. What is h(b(g))?\nAnswer: 22*g + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 6*z**2 + 3. Let i be o(-6). What is the second derivative of 7*a - 10*a**i - a**5 + 4*a + 10*a**3 wrt a?\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 763056314?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -108839201\/2960 + 36770. What is the common denominator of x and 121\/24?\nAnswer: 8880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*t**2 - 10*t**3 + 31*t**2 - 10*t**3.\nAnswer: -20*t**3 + 58*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 4*b**2 - b + 1. Let t(a) = a**3 + 4*a**2 - a - 8. Let l be t(-3). What is m(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 778338 and 7862.\nAnswer: 778338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 309, 311, 315, 321, 329?\n\"Answer: h**2 - h + 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75584*u + 1521*u**2 - 75584*u.\nAnswer: 1521*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50.7 - -46.7. What is the second biggest value in 25, -2, -5, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 0.053?\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 281*u**2. Let k(p) = 3*p. Give k(a(l)).\nAnswer: 843*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -1\/105*d**7 - 47*d**2 + 0*d**6 - 1\/8*d**4 + 0 + 0*d**5 + 0*d + 8\/3*d**3. Differentiate k(m) with respect to m.\nAnswer: -8*m**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(-3)*2\/12\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/5*16\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88 (base 12) to base 8.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - -6)\/1 - -3. Suppose -3*i - 4*o = -26, 0*i + 23 = 2*i - 3*o. Calculate the highest common divisor of x and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 13*j**2 - 11*j + 1. Give d(12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + -21)*42*(-8)\/16. Suppose 297 + y = q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-0.16.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -623.3 + 38.\nAnswer: -585.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*-1*(6 + -8). Suppose -2 = -n*o + 12. Suppose 2*q = 2*l + 83 + o, -2*q = -4*l - 94. What is the remainder when q is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -229*l**8\/16 + 4489*l**4\/24 - 6576*l**2. Find the second derivative of w(u) wrt u.\nAnswer: -96180*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 8*r - 4. Suppose 0 = 2*v - 0*v - 2. Calculate the least common multiple of (-456)\/(-15) - 2\/5 and x(v).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -372 + 33*j - 36*j - 13651*j**3 - 750 + 13653*j**3.\nAnswer: 2*j**3 - 3*j - 1122","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 18*t + 19. Give o(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51 - -56. Suppose 0 = -2*a + t, -h*t = a - 4 - 7. Solve -2 = -i + a for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(4\/7)\/(w**8*w*w))**19 assuming w is positive.\nAnswer: w**(-1254\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 6 + -2 + -13?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484521 is divided by 10234?\nAnswer: 3523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*n - 36*n - 14*n - 3*n in the form l + x*n and give x.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 275 - 275 - (-2 + -1 + 9 + 1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -42221 (base 6) in base 15?\nAnswer: -1a51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*r + 3*r + 5*r - 21*r + 11*r.\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fifty-three fifths of a micrometer?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7348 and 18370.\nAnswer: 36740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-8)*-3182 + 4. Let t = q + -820. Calculate the common denominator of 1\/(-2)*(-53)\/4 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxppgxpgpxpxgppg. Give prob of sequence xgpx.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10207 minus 3201145.9245?\nAnswer: -3201146.02657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-10846)\/264 - (-2964)\/2736\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00527732036 rounded to 7 decimal places?\nAnswer: -0.0052773","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5948 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of 1\/6*s**3 + 0*s**2 + 0 + s. Let m(o) be the second derivative of -o**3\/3 - 2*o. Determine f(m(l)).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 1 (b) -0.123 (c) -1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 513904.\nAnswer: 2, 32119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7 - -14) + -12 + 7. Let x(l) = 74*l**2 - l. Let m be x(1). Suppose m - 371 = -a*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 5*v - 3440, t = -4*v - 240 + 913. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 160*v + 1. Let l(r) = 609583*r. What is l(n(s))?\nAnswer: 97533280*s + 609583","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*d + 86 - 86.\nAnswer: 19*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01731693232 to 4 decimal places.\nAnswer: -0.0173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4 - 6*s - 8*s + 4*s. Let f(j) = -18*j**3 - 6767*j**2 + 372*j - 1508. Let a be f(-376). Determine p(a).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 7. Let i(c) = -6*c**2 - 32*c + 10. Let d(a) = a**2 + 8*a + 1. Let y(s) = -4*d(s) - i(s). Determine 9*f(h) - 4*y(h).\nAnswer: h**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -2961 and -6343 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1017095 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-21)*(-412854)\/(-1876) - 21.\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -7*f - 70. Let x = f + 20. Suppose -x*d - 7 = -55. What is the remainder when 31 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1711938*u**5 - 3*u**2 - 107498*u wrt u.\nAnswer: 102716280*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 362 = -5*c. Suppose 5*x + 3*y + 33 = c, 2*y = -4*x + 120. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 5*o - 52 = 6*o, -2*o + 36 = 4*g for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 410 and 89011?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 120007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1153 - 1153 - 208*b**2)*(-1 + 0 + 3)*(0 + 1 - 2).\nAnswer: 416*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1807940*s**3 + 6 - 8 + 1807941*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*k**2 + 127*k**2 - 20*k**2 - 771*k**2 + 58*k**2.\nAnswer: -463*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.0781 (b) -0.3 (c) 0.1 (d) -29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 15 = -0, -2*y - 3*v + 13 = 0. Suppose -n + 2*n + 4559 = y*c, -3*c = -4*n - 6836. What is c rounded to the nearest one hundred?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/63 - -3607\/504. Find the common denominator of 471\/(-54) - (10 + -13) and y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffflnlnn. Give prob of sequence nl.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 65 - 65 + 129*o**2 + (2*o + o - o)*(-1 + 1 - 2*o) + 3*o + o**2 - 3*o + 0*o + 0*o - o**2.\nAnswer: 125*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 409*m**2 - 3278*m + 36. What is l(8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y - 287 = -143 - 2368. Is y a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 8*q**2 - 9*q + 6. Let z be c(-9). Let t be 2\/(-4)*0\/2. Suppose t = -b - b + z. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppfpsmspssmspppfpfp. Give prob of picking 2 m and 1 f.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -1803382?\nAnswer: -901691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -1258*t**3 + 3*t**2 + t - 1. Is p(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -183*u + 4216. Determine i(21).\nAnswer: 373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.408 and 0.0343.\nAnswer: -0.3737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**3 + 2896*b**2 - 204001*b wrt b.\nAnswer: -12*b + 5792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 15 = -3*m. Suppose m = -2*p + 5*p + p. Which is the closest to -5? (a) 1\/7 (b) p (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.046, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -4*c + 3. Suppose -6*u + 4*u = -5*g + c, -u = 2*g + 1. Solve -1 = -p - g for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.11 - -0.89. Which is the nearest to -2\/3? (a) i (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/15599 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25\/6*a**3 + 2\/3*a**4 - 48*a - 46\/3*a**2 + 0.\nAnswer: a*(a - 4)*(a + 8)*(4*a + 9)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -359312, -718621, -1077930?\n\"Answer: -359309*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3780 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2771198?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-88 - 0) - (15 + 14 - (36 + 5)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -294 - 1?\nAnswer: -295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11b732 - 0?\nAnswer: 11b732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -12*o**2 - 2*o + 3. Let m(f) = 21*f**2 + 2*f - 5. Determine 3*m(l) + 5*q(l).\nAnswer: 3*l**2 - 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7.4, -3\/107, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 0) + (-36 - -38). Let g(m) = -11*m + 21. Let o be g(15). Let q = o - -717\/5. Are q and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/10*(-570)\/(-76)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 82.99922 - 83. What is z rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 423, -5, -4 in ascending order.\nAnswer: -5, -4, 423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -2, 2\/7, 1195 in decreasing order.\nAnswer: 1195, 3\/4, 2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-75))\/((-8)\/(-10)). Let h(t) be the second derivative of l*t**4 + 0*t**3 - 2*t - 1\/5*t**2 + 0. Solve h(c) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1297 a factor of 2171954903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = 2*t + 16*t. Suppose -64 = -t*q + 62. Suppose -12*k + q*k - 22 = 0. What is the remainder when 32 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70 + -5. What is the remainder when n is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, e: 2, h: 2, q: 2, z: 4, t: 1}. Give prob of sequence zz.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 873 divide 159782144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 2 - 2)*(4*p**2 - p**2 - 4*p**2) - 252*p**3 + 54 - 47 - 7.\nAnswer: -254*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y + 6. Let r be a(-4). Let m = 5 - 9. Which is bigger: r or m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -35d - 2d?\nAnswer: -38a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/7 and (-3)\/(36\/284) + 4.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1423385083 to the nearest integer?\nAnswer: 37728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -456*f + 520*f = 320. Solve -4 = -q, 29 = -19*u + 16*u + f*q for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*4*-4 + 5*((-2*sqrt(77) - sqrt(77) - sqrt(77)) + sqrt(77)))\/((-1*2*sqrt(66))\/(sqrt(6) + 5*sqrt(6)*1)).\nAnswer: 93*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8954351526 rounded to two decimal places?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q + o - 26, 5*o - 90 = 145*q - 135*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**2 - 3*b - 2. Let l be q(-2). Let j(n) = -2*n + 4. Let g(a) = 3*a - 8. Let z(m) = -3*g(m) - 5*j(m). Let u be z(l). Solve u*c = -c + 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(10\/(-4) + 1). Suppose -5*r = -m*d + 11, -10 = 2*r - 4*d + d. Calculate the remainder when 32 is divided by r*2 - (-9 - 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z. Let q(v) = -122*v + 1. Let b(o) = 22*o. Let p(s) = 6*b(s) + q(s). Calculate -p(c) + u(c).\nAnswer: -9*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -203 (base 4) to base 6\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -148, -681, -1570, -2815, -4416, -6373?\nAnswer: -8686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bmlll. What is prob of picking 1 b and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - 868. Let y = 16631\/19 + p. Which is greater: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44143\/3 - 14715. Which is smaller: -2027 or t?\nAnswer: -2027","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (m - 2 + 4*m - m)*(m + 97 - 97) in the form u*m**2 + h*m + g and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*d**3 - 8*d**3 - 17*d**3 - 19*d**3 + 39*d**3.\nAnswer: -15*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 0 + (-158)\/158.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -3 + (-3 - 0 - -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w - 10. Suppose -4*h - 21 = -7*h. Let j(v) = -8 + 0 + h. Calculate 8*j(d) - u(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5869 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 5384, 21873, 49694, 89081, 140268, 203489, 278978, 366969?\n\"Answer: 39*r**3 + 5432*r**2 - 80*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1209262907 to the nearest integer?\nAnswer: 1065","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 199870?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 39.9871 + 2\nAnswer: 41.9871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 0.3. Let d = 0 - i. What is the closest to 1 in d, 5, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (1 - 5 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**5\/7 - 2*f**4 - 2040*f**3\/7 + 37504*f**2\/7 - 59392*f\/7 - 1474560\/7 = 0. Calculate f.\nAnswer: -36, -5, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 2*v = -104, -s + 3*v + 1901022 = 1900901 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4c7 + -4?\nAnswer: 4c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3*(-3 + 2*sqrt(343) + (sqrt(343) - (-1 + sqrt(343) + sqrt(343))) + 2 + 6*(sqrt(343) + -1) + -3) + -2)**2.\nAnswer: -6174*sqrt(7) + 151704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (660\/75)\/((-4)\/(-50)*-30*5\/(-15))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7287.8 - -7288. Which is the fourth biggest value? (a) -4 (b) -2\/13 (c) f (d) -590\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*-1*-5*(-5)\/75. Suppose -12*o - 2*o + 4242 = b. Calculate the remainder when o is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3 = -0*r. Let u(o) = -1 + 6*o**2 - 3*o**2 + 2*o + r*o - 2*o**2. Is u(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -59*c - 8. Let x(n) = -21*n - 3. Give 4*t(u) - 11*x(u).\nAnswer: -5*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 7 - 15)*(-2*d + 2*d + d)*(6*d**2 - 14*d**2 + 5*d**3 - 8626 + 8631) in the form l*d + y*d**2 + f + z*d**3 + c*d**4 and give c.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(16\/(-12) - -1). Suppose -5*l - 66 = -0*t + j*t, 5*t = 4*l - 73. Put 1, t, -4 in decreasing order.\nAnswer: 1, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, -935, 6 in descending order.\nAnswer: 6, -51, -935","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.53 rounded to zero dps?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 30704225 to the power of 1\/2, to the nearest integer?\nAnswer: 5541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 160447, 160447, 160445, 160441, 160435, 160427, 160417?\n\"Answer: -p**2 + 3*p + 160445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-1*sqrt(630) - sqrt(630) - sqrt(630) - sqrt(630)) + sqrt(630))\/sqrt(10))\/(sqrt(45)\/(sqrt(20)\/sqrt(4))))**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 94*j. Let i be (2\/(1 - -1))\/((-3)\/(-12)). Suppose -i*p = -6*p + 24. Calculate the remainder when u(1) is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(5\/8)\/(i*i\/i**(-1\/14))*i\/i**(-5\/12)*i**(2\/11) assuming i is positive.\nAnswer: i**(281\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8\/101 (b) -0.4 (c) 73 (d) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*d**3 + 38*d**3 + 284*d**2 - 1113*d**2.\nAnswer: 118*d**3 - 829*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 2*a + 34 - 63 = 0, 0 = 3*x - 4*a - 37 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52061.\nAnswer: 79, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5*c + 5. Let n(l) = l - 1. Let y = -54 + 56. Suppose x = o + 4, 0 = x - 3 + y. Let f be (-2)\/o*72\/(-48). Give f*g(z) - 3*n(z).\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10789.85 minutes in seconds?\nAnswer: 647391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -371*r**4 - 31616*r**2 + 1265*r - 15602 wrt r?\nAnswer: -4452*r**2 - 63232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 5:01 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*sqrt(1100))\/sqrt(4)*1*-2.\nAnswer: -20*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -15 (b) -4 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/12 - (-2 - 3\/6). Let g = 73\/28 - t. Which is the second biggest value? (a) -5\/7 (b) -2\/3 (c) -3 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 + 0.2. Let i be 120\/(-12)*(14\/10 + -1). Which is the third biggest value? (a) i (b) -2\/9 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3995 - 2464. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*b - 2502 = -5*v, -5*v - 2*b + 3129 = 0. What is the remainder when v is divided by 106?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2363441147.\nAnswer: 31, 67, 1137911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 3*r**2 + 1. Let y be i(3). Let z be (4 - 7)\/((-3)\/2). Let l be 4\/2 - (1 - z). Which is the smallest value? (a) y (b) -5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kki when three letters picked without replacement from {z: 3, i: 1, w: 3, s: 1, k: 2, o: 1}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jibbjvbbjvj. What is prob of picking 2 b and 1 j?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -14\/3, -0.2, -11, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7371819*j*k - 16416608*j wrt k?\nAnswer: -7371819*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 108*y - 1. Is w(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-152))\/((-33)\/(-44))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/25 of a centimeter?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(176)*-2 + -4.\nAnswer: -4 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 356474013.\nAnswer: 3, 7, 16974953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.06 - -0.06. Let f = -5 - n. Is 1 at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 61*f**2 + f - 11. Is m(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0387 times -0.4403\nAnswer: 0.01703961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n + 1512*n**3 + n - 1513*n**3 + 5 + 9*n**2 - 3*n**2. Give k(5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s - 1. Let w(h) = -h + 4. Determine -3*n(v) - w(v).\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2042*i**3*p**2 + 1900*i**3 - 2*i**2 + 2*p**2 with respect to p.\nAnswer: -4084*i**3*p + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 5*k - 32. Suppose 2*v + 1 = -2*o + 5, 4*o = 4*v + k. Calculate the least common multiple of o and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 10)*(2 + -3). Let t be 3\/(10\/c - -1). What is the remainder when (1 - (0 - -2)) + t is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 9*h - 85. Is 15 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 20090*s + 409. What is the ten thousands digit of i(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**14)**40\/(f**9)**(-3\/29))**26 assuming f is positive.\nAnswer: f**(-391378\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -21. Put 1\/3, 4, u, -0.4 in decreasing order.\nAnswer: 4, 1\/3, -0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1210120220111121212 + 0?\nAnswer: 1210120220111121212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1.35 * 0.2\nAnswer: -0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-511)\/126 + 3 + (5 - (-297)\/(-54)).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*((sqrt(400)*-1)\/sqrt(8) - sqrt(50)))\/((1*sqrt(490) + sqrt(490) + sqrt(490))*1*1).\nAnswer: -4*sqrt(5)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/2))**(-8)*(m*(m*m**(-2\/11))\/m*m*m)\/(((m\/(m\/m**(-2)))\/m)\/m))\/(m**(-1\/7)*m*m**(1\/5)*m*(m*m\/(m*m*m**7*m))\/(m\/m**(6\/11))) assuming m is positive.\nAnswer: m**(6628\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5413\/64 + 213\/64. Let g = h + 82. Which is the smallest value? (a) 0 (b) -0.5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/132 and 67\/104907?\nAnswer: 419628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 23370, 46917, 70604, 94425, 118374?\n\"Answer: -n**3 + 76*n**2 + 23326*n - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60434 = -46*f - 5448*f for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38937228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*s**3*w**3*x**3 + 1486621*s**3*w**3*x**2 - 239534*s**3*x**3 - 4*s**2*w**3*x**2 + 2*x**2 wrt x.\nAnswer: -36*s**3*w**3 - 1437204*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/2)\/(1\/(-14)). Let p = 11 + t. Suppose -p*o - 2 = -3*o. Which is the smallest value? (a) o (b) 1\/9 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 - 0.4. Let i = 57 + -62. What is the second biggest value in i, n, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**3 + 4*h**2 + 4. Calculate j(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 5*o - 1. Suppose 0*g = -6*g + 54. What is the smallest common multiple of (g\/(-12))\/((-34)\/16 - -2) and m(2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.84 + 0.840021. What is v rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.823 * -0.1413.\nAnswer: -0.1162899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18\/11 - -213\/110. Let c = 3\/10 + x. Calculate the common denominator of -53\/3 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -25*a - 31. What is the remainder when g(-7) is divided by 50?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28 or -538?\nAnswer: -538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**2 - 3*f**2 + 0*f**2 + (3*f - 2 + 2)*(f - f - 2*f) + 9582 - 188*f**2 - 9582.\nAnswer: -193*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4519169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7091 or 2\/743?\nAnswer: 7091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113569?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s + 117 = 101 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by (3\/(-6))\/((-7)\/196)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 38 = 20, 0 = -23*y + i + 63 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**2 - 7*b + 0*b**2 + 1 - b**2 + 2*b**2. What is t(-8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(68)*-1 - (-3*sqrt(68) + sqrt(68) - sqrt(68))*2)\/(-3*(sqrt(484)*-2 + sqrt(484) - sqrt(4))).\nAnswer: 11*sqrt(17)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7b3b (base 14) in base 10?\nAnswer: -21417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 279 and -4?\nAnswer: -1116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -403*u**2 - 6 + 10 - 2*u - 7136*u**6 - 2 - 5 wrt u?\nAnswer: -856320*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 5:54 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -11 - (18 + (-495)\/17). What is the fifth biggest value in 0.1, s, 0.058, 0.3, 0.5?\nAnswer: 0.058","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -5*o**2. Let s(w) be the first derivative of 5*w**3\/3 - 66. What is u(s(d))?\nAnswer: -125*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 + 41. Suppose 8*i + a = 13*i. Solve s - 6*s = -i*o, 3*s = -3*o + 21 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 8, l: 5}?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 95270995151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 3. Suppose 4*d + 16 = 0, -y*d + 24 = s - 6*d. Let x be ((4 + 2)\/3)\/((-2)\/(-112)). Calculate the greatest common factor of s and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 2*w**3 - 2 + 48*w**3 - 4*w**3 + 26*w**3 + 0*w**3 + w**3 + 6*w**3 + (-4*w + 4*w - w)*(2*w**2 - 5 + 5).\nAnswer: 77*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7588456mm to nanometers.\nAnswer: 758845.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**8)**(-45))**(-2\/57) assuming r is positive.\nAnswer: r**(240\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 13*t + 57 = 0, -2*t = -45596*m + 45597*m + 12 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 87 and 128383.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1959.2045 - 0.2045. Let j = x - 1959.00000869. Round j to seven dps.\nAnswer: -0.0000087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + 0.86.\nAnswer: -34.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 3*n + 32, -4*g - 10*n + 64 = -7*n. Let w be (394\/(-3))\/(g\/(-1200)). What is w rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**2 + 162 - 496 + 170 + 165. Let b be s(0). Solve -6*m = -7*m + b for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 924 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43254697 divided by -2276563.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 677, 672, 667, 662, 657, 652?\nAnswer: 647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j = 35 - 55. Let l(s) = -s + 11. Determine l(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29175 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -4*u**2 + 0*u**2 - 6*u**2. Let d be 8 + 3 + -9 + -2. Let p(k) = -3876 + 3876 + d*k**2 - k**2. Determine n(p(v)).\nAnswer: -10*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (43 - 73) + 16 + 1 + -4 + -1?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -8*w**5\/5 + w**4\/6 + 4*w**2 + 65*w. What is the third derivative of u(b) wrt b?\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 64, -26, 1, -167, -0.4, 2\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 2*w**2 + 3*w + 3. Suppose 0 = -2*r + 4*d - 4, 9 + 21 = 3*r + 3*d. Suppose -r = 4*t - 18. Calculate g(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -5*j. Let t(k) be the third derivative of -k**5\/10 + k**2. Calculate t(w(f)).\nAnswer: -150*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -80a165 (base 15) to base 12\nAnswer: -2067412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - p + 149 = 3*h, 0 = 4*h + 2*p - 212. Suppose 5*c - 2*c - 23 = -4*f, 2*c - 2 = 0. Suppose -6 = f*i - h. Solve i + 6 = 5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-3)*(5 - 2). Let o(c) = 5*c + 2. Suppose 8 = x + x. Let v(b) = b. Let n(l) = f*o(l) + x*v(l). Differentiate n(a) wrt a.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 4 = -x. Let r = x + -9. Let k be (r\/3 + -3)*-3. Solve -3*o - 8 = -7*y + 3*y, -3*o - k = 2*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) 405 (b) -0.4 (c) 0 (d) 4 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39415924.\nAnswer: 2, 41, 240341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 22*t**2 + 72*t + 38. Let q be h(18). Suppose 3 = -4*b + 5*b. Suppose 0 = -g - 4*w + q, -5*g - b*w = -7*g + 87. Is 43 at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*z + 8*z - 99 = -10*z for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a hour in seconds?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008231687 rounded to 7 decimal places?\nAnswer: 0.0000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -d**3\/3 - 7*d**2\/2 + 11*d - 10. Give x(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3206783790.\nAnswer: 2, 3, 5, 7, 1696711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -7*z - 21. Let v(b) = 14*b + 43. Let p(g) = -7*c(g) - 4*v(g). Let s be p(-7). Calculate the greatest common divisor of 3 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/7 (b) 2\/11 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (-1 + 20)) + 0 + 0?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -2) + -2 - (-6 + 23 + -23).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -370 = 2*a + i, -i = -2*a - 0*i - 378. Let z = a - -299. Suppose -2*s - z = -4*s. What is the highest common factor of s and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-414)\/690)\/((-30)\/45*1\/(-50)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 136690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -118 divided by 5673?\nAnswer: -118\/5673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1109 (b) -1\/149 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -0.2 (c) -1 (d) -2.04 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 156*t**2 + 18 - 154*t**2 - 2.\nAnswer: 2*t**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 16*v + 49. Let a be 49\/(14\/(-2))*(11 - 13). Give h(a).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 169, 332, 493, 652, 809, 964, 1117?\nAnswer: 1268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -59646.2 and -4?\nAnswer: 59642.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - 40\/(-5) - 8. Solve 10 = b*o + 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -328475?\nAnswer: -656950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.5, 6, -0.09 in decreasing order.\nAnswer: 6, 1, -0.09, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(3\/(6\/1)). Let v = -280.3 - -280. What is the nearest to q in v, 0.12, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/2*(-24)\/9. Suppose 0*p + 4*p - 36 = -4*r, x*p - 18 = -2*r. Calculate the remainder when 23 is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10 - (1\/4 + 18\/(-72)). What is the second derivative of 1 - v*z + 35*z**5 - 22*z**2 + 22*z**2 + 0 wrt z?\nAnswer: 700*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 8. Let c = n + -3.9. Let x = c - 0. Are -0.1 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 0.2 (c) 4 (d) -0.4 (e) 0.11 (f) -3.3 (g) 0.18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.3 - -4.1. Which is the second smallest value? (a) 1\/3 (b) n (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 (base 11) in base 7?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 4*d + 102, v + 3*d = -25 + 99. Let a(b) = b**3 + 36. Let p be a(0). Differentiate 45 - p*g**2 - 44*g + v*g - 42*g with respect to g.\nAnswer: -72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-104)\/75 - ((-3)\/18)\/1 and 99\/14.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 520.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of l**5\/150 + l**4\/30 - l**3\/5 + 30*l**2 - 2. Factor z(q).\nAnswer: 2*(q - 1)*(q + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -128.\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 0.4, 1, -0.3, 3, -0.2828?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002 + 12110221122?\nAnswer: 12110220120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -77522085 take away -1271363?\nAnswer: -76250722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {f: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1536 equal to -1\/13381?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 127890 and 270?\nAnswer: 383670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*t + 14*t. Let g(d) be the second derivative of -1\/45*d**6 + 0 + 1\/18*d**4 + t*d**2 + 0*d**3 + 2*d + 0*d**5. Determine b so that g(b) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/6640 and -27\/70384.\nAnswer: 351920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -640 + 810. What is the least common multiple of f and 17?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3490921, -3490925, -3490931, -3490939?\nAnswer: -3490949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 33 = -5*d, d + 4*d = 25. What is the third derivative of 48*n**5 + 2*n**2 - 7*n**j - 24*n**5 - 16*n**5 wrt n?\nAnswer: 480*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**5 + 1407*k**4 - 175242*k**3 + 2421330*k**2 - 11764275*k + 19323375 = 0. Calculate k.\nAnswer: 5, 227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/6)\/u**(-11\/2))\/(u*u**(-10)\/u*u**(1\/12)) assuming u is positive.\nAnswer: u**(61\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2594349 is divided by 530.\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**5 + 6*t + 0*t - 5*t + (-1 + 1 + 2*t)*(-3*t**4 - t**4 + 2*t**4) - 4*t**3 + 4*t**3 + 2*t**5.\nAnswer: -4*t**5 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of b**7\/42 - b**3\/6 + b**2 - b. Let k(w) be the first derivative of d(w). Differentiate k(i) with respect to i.\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((-1*sqrt(96) + sqrt(96) + sqrt(96))*3)\/((sqrt(21) + sqrt(105)\/sqrt(5) - sqrt(21))\/sqrt(7))*5*-2)**2.\nAnswer: 720000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 343*x - 6*n + 18 = 341*x, n - 18 = 2*x for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19602655, 39205283, 58807911, 78410539?\nAnswer: 98013167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.181371 centimeters to millimeters.\nAnswer: 1.81371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(315)\/(sqrt(5)*1) + sqrt(63) + (6*(sqrt(567) - sqrt(63) - sqrt(63)))**2 - (-2 + sqrt(700) + -1 + (3 + sqrt(700) + sqrt(700) + 0)**2).\nAnswer: -538 - 124*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 727413 - 0.169736.\nAnswer: 727412.830264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -115633.\nAnswer: 1\/115633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1840 - -0.4?\nAnswer: -1839.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17777209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 - 40832*y + 531154.\nAnswer: -2*(y - 13)*(y + 20429)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1306224, -2612420, -3918616, -5224812, -6531008?\n\"Answer: -1306196*n - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9949 is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -15*x - 5. Suppose x*m + 7 = 73. Is 3 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -2*v + 8, -v + 16*o - 11*o - 7 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, y: 2}. Give prob of sequence yyx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 39*w - 813. Let o be p(-60). Solve o*s = 454*s - 35 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4*h = -154. Let a be ((-55)\/h)\/(1\/(-6)). Solve 3*w + 0*w - a = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*c - c. Let a = -12 + c. Calculate the common denominator of -95\/4 and (-4)\/(-24) + a\/(-16).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (0 + -3) - (0 + -1). Suppose f + 1 = h. Suppose 12 = 2*i + 2*i - 2*g, 2*i = -h*g - 18. Solve 0 = -5*y - 3*s - 19, -2*y + 4*s - 17 = i for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b - 1. Let q(p) = 2*p + 1. Let o(i) = i**2 - 2*i + 1. Let n be o(2). Let h(g) = n*q(g) - m(g). Let w be h(-3). Which is smaller: w or -0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-47))**(3\/10)*(p*p\/p**(-21))**22 assuming p is positive.\nAnswer: p**(4919\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -39513727.74 to the nearest 1000000.\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + ((-91)\/14 - (-2)\/4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p. Let s = -115 - -117. Let z(h) = -661*h**2 + 658*h**s + 2 - 2. Give z(u(d)).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*v**4 + 80*v**3 + 251*v**2 - 2*v + 2810107.\nAnswer: 240*v**2 + 480*v + 502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 14.2325 - 0.4\nAnswer: 13.8325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2006933mm in nanometers?\nAnswer: 200693.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 13. Suppose 0 = v*l - 18 - 30. Solve 8*a - l = 4*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 5 = -1 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 81 = 3*j - 3*u, -2*j - 27 = -3*u. Let s be 7684\/j*9\/15. Let z = 256 + s. Is z <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 - 1 + 1 - 2*s**2 + 2 - 2 + (-1 + 1 + s**2)*(2 - 3 + 0) + 2*s**2 + s**2 - 2*s**2)*(12*s**3 + 47*s**3 - 26*s**3).\nAnswer: -33*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-9\/8)*k**(1\/33))\/((k*k**(34\/7)\/k*k*k*k)\/((k\/k**(24\/7))\/k)) assuming k is positive.\nAnswer: k**(-22879\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/3 (b) -0.4 (c) 0.4 (d) -3\/5 (e) 8 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.098*-4\nAnswer: 0.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 95914670?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2727 = 2*v - 5*a, 3*v + 2*a = 8*v - 6807. Is 24 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73392, -73394, -73396, -73398?\nAnswer: -73400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**2. Let i(d) be the second derivative of -d**6\/360 + d**4\/6 - d. Let u(p) be the third derivative of i(p). What is u(a(n))?\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -73 + 111. Suppose 4 + x = 7*i. Solve -i*m = -7*m + 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000127992 rounded to five decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 136\/24)\/(((-77)\/(-7))\/858).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 11 = -1 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -10. Let y = 5 - b. Solve y*u = u - 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(-13)*3*1*-1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 208 - 198. Calculate the remainder when 54 is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/15 - (-3)\/5)*-103. Let u be d*2\/6 + (-6)\/(-18). Let l = 54 + u. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 966743233 to the power of 1\/4, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 4*o - 1. Suppose -99 = -4*m - o. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 3:32 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52)\/17*-1*(2652\/(-8))\/(-39)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*y = 8*y + 188*y + 21*y - 3615 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 215096 + -4?\nAnswer: 215092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g**2 - 5*g**2 - 4 + 4.\nAnswer: -13*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (38\/(-6))\/((-2)\/(6 - 0)). Let w = -21 + t. Let o = 10 - 13. Sort w, 5, o, 2 in decreasing order.\nAnswer: 5, 2, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -5*i, 121*c + i - 5 = 125*c. What is the second smallest value in -19, -2\/3, c, -0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*u + 163*u = 220. Let f(w) = 14*w**2 + 4*w + 2. Let m be f(-2). What is the highest common factor of u and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2752*c**2 - 1 + 2765*c**2.\nAnswer: 13*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 181 + -176. Solve -l - 1 + n = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 7\/156, -1\/9, -9, -1407?\nAnswer: -1407","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.4, -0.5, -0.56?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 48141 and 0.3?\nAnswer: 14442.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/4095 and -77\/60.\nAnswer: 16380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**2 + 5*c + 5. Let d be a(-2). Let k be (-6)\/(-33) + d\/11. Let x = -7 - -4. Sort x, -3\/11, k in ascending order.\nAnswer: x, k, -3\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -3*j - h - 16, 4*j - 2*h = -28. Let y = 8 - 11. Let n be ((-6)\/j)\/(y\/(-2)). Which is the second biggest value? (a) -5 (b) -0.4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and -4.82?\nAnswer: 5.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 36a81145 - 4?\nAnswer: 36a81141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-9))\/4*2376\/(-9240).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -500, -5, 4 in descending order.\nAnswer: 4, 1, -3, -5, -500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (1 - (-2)\/(-2)). Let n = 1 - y. Calculate the remainder when 52\/6 + n\/6 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 1.31 (c) 216867 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2720545?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1842.\nAnswer: 2, 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 13. Put 5, b, 3 in descending order.\nAnswer: b, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 610 is divided by 216.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**2 + 4*x + 5. Let u(h) = 10*h**2 - 13*h - 16. Let i(z) = 7*l(z) + 2*u(z). Let j be i(3). Is 2 a factor of j - (0 + 9\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 - 14665?\nAnswer: -15006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*p = -43*p - 616 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 8*m**2 - 2*m + 343\/80*m**5 + 0 + 49\/4*m**4 + 14*m**3. Factor w(c).\nAnswer: (7*c + 4)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iir when three letters picked without replacement from {j: 9, i: 6, r: 2}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -42 (base 7) to base 15\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 5*r = 5, -32*r - 16 = -3*n - 31*r for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01216 * -6564.\nAnswer: 79.81824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*a**2 + 16*a**2 + 2*a**2 - 14*a**2.\nAnswer: 25*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + 6 + (-55 - 7)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 13 = -3*u, 197*t - 192*t - 25 = 0 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.158583 take away 4.49746?\nAnswer: -4.656043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {y: 1, t: 3, w: 5}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-6)*(-4 - -7). Let k(w) = w + 2. Let n be k(q). Suppose -528 = -90*p - 5478. Is n greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5d6 - 5?\nAnswer: 5d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -773*r**4\/12 + 13*r**3\/3 - 3*r**2\/2 - 32*r. Find the second derivative of k(w) wrt w.\nAnswer: -1546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -i + 5. Suppose 5 = c, -5*c + 38 = 3*g - 2. Suppose g*k + 18 = 63. What is the remainder when k is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (265 - 131 + 115)*(-46*q - 464 + 464) as c*q + k and give c.\nAnswer: -11454","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -1065*x + 1184. Let c(h) = -5*h + 2. Let t(d) = 4*c(d) + k(d). What is the first derivative of t(s) wrt s?\nAnswer: -1085","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 36*s**2 + 6*s - 2. Suppose 3*a = x + 130, 4*x - 5*a = x - 406. Let y = -144 - x. Is i(y) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 3*a - 3*a - 889*a**2.\nAnswer: -889*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 26 = 126*u - 130*u, -y - 50 = -7*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39284841 to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 4*j - 15 = m, -5*m - 3*j + 9 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.05657 = -296?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3655426079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2427465902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1530575 is divided by 72?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 4.239559nm?\nAnswer: 0.000004239559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 372\/(-8)*-5*2*(-51)\/(24480\/(-64)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 254 a factor of 114808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*g + 5. Sort -10, -5, g in descending order.\nAnswer: g, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 15 = 2*u. Let a(c) = 0*c + c**2 + 1 - 2*c + 4. Is a(u) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 3*d - 34, -1135*w = -1137*w + 3*d + 8 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3844733689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2 + 0 = 0. Let a be q\/10 + (-3321)\/(-45). Does 4 divide a\/9 - 8\/36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*u - 14*u - 84 = -8*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6109 not equal to 7287?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0*f - 20 = 4*l, 4*f + l + 5 = 0. Suppose 4*m - 12 = -f*m. Solve q - m = -5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 0*y = -0*y. Suppose y*u - 10 = -2*k + 5*u, -3*k + 4*u + 15 = 0. Let o(w) = w**3 + 0*w + 6 - 7*w**2 + 2*w**2 - 5*w + 4*w. Give o(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -3*b - 0 + 38, -4*b = 5*i - 4. Suppose -109 = -b*f - 7. What is the remainder when f is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 169*p + 3381. What is l(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssssssrssskskr. Give prob of sequence ssk.\nAnswer: 22\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1151 + 4224?\nAnswer: 3033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 3*b - 2 = 0, -x - 5*b = -0*b + 8. Differentiate 7*l**2 - 13*l**4 - 11*l**2 + 4*l**x - 12 with respect to l.\nAnswer: -52*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, a: 1, u: 1, z: 7, x: 4, l: 4}. Give prob of sequence lzzl.\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1492501, -2985002, -4477503, -5970004, -7462505?\nAnswer: -8955006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mllymyylmmym. Give prob of sequence ylmy.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14775219?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 10:16 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -3*r - 23, -2*r = t + 4*t - 23. Let l(a) = 0*a + 0*a + a**2 + 3 - 5*a. Calculate l(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -566 and 1.92695.\nAnswer: -564.07305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -191 - -115. Let p = 22 - 165. Let x = i - p. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (518\/34)\/(33\/15). Let x be (-7 + (-1864)\/(-272))*590\/(-25). Let w = x - h. Calculate the common denominator of w and -21\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -m**9\/60480 - m**7\/5040 + 1939*m**6\/720 - m**5\/12 + 7*m**2. Let f(w) be the third derivative of k(w). Is f(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*a**2 + 6*a - 49?\nAnswer: -8*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 - -2 - (-734 - -745).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2 = 2*n, 0*v - n + 12 = 4*v. Suppose -v*o = 3*o - 10. Let s be 2*5\/o*1. Solve -3*c - 9 = -2*p, 0 = 2*c - 2*p - 1 + s for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 7*j + 9. Let s(l) = 1. Let d(z) = f(z) - 2*s(z). Let u be d(-3). Does 8 divide ((-12)\/u)\/(8\/224)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1238962417.\nAnswer: 7, 11, 59, 272719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -85*m**2 + m - 21*m + 174*m**2 + 86 - 90*m**2 + 21. Let x be y(-24). Solve -4*d - x = -2*s + 5, -2*s = 4*d + 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express x**4 + 124*x - 2*x**3 - 247*x - 124 + 22 + 123*x in the form a*x**2 + p*x + d*x**4 + r*x**3 + t and give t.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 2193 divide 7506508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.2 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -258?\nAnswer: -259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 54223 and 4572?\nAnswer: 49651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*c**2\/9 - 22*c\/9 = 0.\nAnswer: 0, 11\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 230\/209 (b) -0.05 (c) 0.5 (d) -14\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 6*o - 50. Let i be p(9). Suppose 0 = -i*y - 2*n + 58, 3*n - 8 = 7. Does 12 = y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-52)\/12)\/((-5)\/(-3)). Let z = u - -31\/10. What is the nearest to 2\/5 in 2, z, 3\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6\/13, 3.5, 1, -1.\nAnswer: -4, -1, -6\/13, 1, 3.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 2*z**2 + 4*z + 2. Let r be g(-3). Let w = -27 - r. Suppose 3*y + 4*a + 0*a + 20 = 0, -4*a = -4. Is y at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 935 and 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -11*h**4 + 4*h**2 + 8*h. Let f(n) = 4*n**4 - n**2 - 3*n. Let v(k) = -8*f(k) - 3*y(k). What is the third derivative of v(c) wrt c?\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 - 2)*(-1868)\/(-3). Suppose 0 = -0*w + 2*w - a. What are the prime factors of 2\/(-15) + w\/30?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7*1\/3*150\/525. Is -10.36 smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4083, 32272, 108705, 257478, 502687, 868428?\n\"Answer: 4016*q**3 + 26*q**2 - q + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*5\/(-12 + 2). Solve 0 = z*y + 3*l, 2*y + l = 5*y - 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of m**5\/60 + 7*m**4\/24 - m**3\/2 - 3*m**2 + 14. Let h(n) be the second derivative of b(n). Give h(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1093653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 365 = -280. Suppose -5*f + c = -16. What is the remainder when f is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.0385 - -0.0385. What is the closest to s in -2\/3, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -2*t**3 + 0*t + 3\/10*t**5 + 0*t**2 + 0*t**4 - 138. Factor p(y).\nAnswer: 3*y**2*(y - 2)*(y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**2*l**2*q**2 - 114*c**2*l**2 + c**2 + 44*c*q**2 - 3*l wrt l.\nAnswer: 2*c**2*q**2 - 228*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w**(3\/4)\/w)\/w)**20*(w**6)**(-10) assuming w is positive.\nAnswer: w**(-65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 36*p + 102. Let l(s) = 46*s + 100. Let j(o) = 2*l(o) - 3*u(o). What is j(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/3 in 7, -5, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 138384.3 decades to millennia.\nAnswer: 1383.843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -398.781657 take away -5?\nAnswer: -393.781657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(4\/2)*50\/150\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101001111100010 + -11?\nAnswer: -100101001111100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b + 8*b + 57*b**2 - 5*b.\nAnswer: 57*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (10 + -4 + -6)) + 66 + -52?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 9:22 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5629 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 2314081.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12116596499442.000062 + -12116612460468. Let n = b + 15961079. Let i = n + -53. Round i to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - -3)\/((-2)\/(-4)). Let c be (-2)\/(-4) - (-1)\/v. Let f(t) = 4*t - 2. Let n be f(1). Solve 4*p - n*p = c for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 5\/2*o**2 - 25*o - 11. Is i(12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -2\/19, -246\/25?\nAnswer: -246\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13208115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) 3.5 (c) 3 (d) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m - 32 = 14*m. Calculate the greatest common divisor of 32 and m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257*n - 229*n = f - 309, -4*n + 5*f = 49 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five eighths of a day?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.35 - 2.35. What is the third smallest value in 254, 0, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -17*q - 29 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50 - 43. Let z = o - 6. Which is the closest to z? (a) 6 (b) -0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 9*l + 11. Suppose -3*t + 35 = -o, 0 = -5*t - 5*o + o + 81. Let s = t - 3. Calculate the remainder when h(8) is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 347692*k**3 + 224071*k wrt k.\nAnswer: 2086152*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -830079 = -19*m + 321112. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30321 (base 4) to base 13.\nAnswer: 4b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1706)\/(-4) - 6\/12. Let s be (k\/4)\/(12\/112). Let v = -663 + s. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) - (5 + 1*sqrt(612)))*-1 + -2 + -2 + 4 + -2)*3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, -6, 2\/63?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1688 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 4*g + 2. Let z be r(4). Let t = -7.92 - -5.92. Which is the second biggest value? (a) 2\/7 (b) z (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 g, and 1 z when three letters picked without replacement from {g: 2, j: 1, v: 1, z: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2\/3 + 176*l + 5808.\nAnswer: 4*(l + 66)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -29527, -53222, -76929, -100654, -124403?\n\"Answer: -u**3 - 23688*u - 5838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 (base 10) in base 15?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 8*h + 4. Suppose 0 = -3*v - 2*v - 70. Let r be 2\/(-2 + -2)*v. What is the units digit of y(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 79*j + 83*j - 228*j as h + p*j and give p.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5 + ((-3*sqrt(1300) + sqrt(1300))*-3 + 3*(sqrt(1300) + (sqrt(1300) + 2*sqrt(1300) - sqrt(1300)) + sqrt(1300)) + sqrt(1300) + 1 + 1)**2.\nAnswer: 760*sqrt(13) + 469312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207 = 2*f - 145. Suppose -a + 98 = a - 4*l, -3*l - f = -4*a. Suppose 4*b + a = 5*j - 26, -3*b = -3*j + 39. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.11 - -0.11000024. What is g rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.71 take away 5679849?\nAnswer: -5679847.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 - 16. Let v = t - 18. Suppose -2*d + 7 - 1 = 0. Solve -j + 0 + 1 = 0, d*k = -3*j - v for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**6*u)\/(u**(5\/2)\/u))\/(u**(-5\/4)\/u**11))**10)**(-4) assuming u is positive.\nAnswer: u**(-710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.04957 greater than -117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*j = 40*j + 36. Let k be (6\/4)\/((-27)\/j). Solve -3*x - 5 = -k*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 292279 and 1131?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-32)\/(-10) - (5 + (-144)\/30). Which is the second smallest value? (a) q (b) 0.3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of g*q + 4229*g + 54025*q wrt g.\nAnswer: q + 4229","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.8? (a) 1\/6 (b) 5 (c) 2\/7 (d) -2\/17 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**5\/190 + k**4\/114 - 92*k. Factor f(b).\nAnswer: -2*b**2*(b - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28054950 to the power of 1\/4, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5045\/10*-11*(-2)\/11?\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -2*d + 27, -39 = -4*d - 1177*v + 1176*v for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jtjjjdjddjddtdj. What is prob of sequence jtjj?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 566004797 to the nearest integer?\nAnswer: 827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11147, 11938, 12731, 13526?\nAnswer: 14323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -374380 or -374376?\nAnswer: -374380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/6 - (900\/270 - (-22)\/6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1339? (a) 1 (b) 0.2 (c) 4\/7 (d) 0.23 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 = 2*a - 4*s + 76, -s = 4*a + 10 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-3)*(-13)\/((-637)\/(-119))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of 4*d**3\/3 + 8*d**2 + 81*d - 5. Is v(16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1157 - 1164 + 1213*b - 1292*b.\nAnswer: -79*b - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 19 = -l + 2*w, -l + 3*w = -19. What is the remainder when l is divided by (-38)\/(-8) - 1\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 7:43 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of r*t**4 + 33*r*t**2 + 44*r*t - 467*t**3 wrt t?\nAnswer: 24*r*t - 2802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77101 is divided by 150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3162 or 11?\nAnswer: -3162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from bfbffffffffff.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millennium in decades?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 235 - 400. Let x = 141.2 + j. Let v = x - -24. Which is the second smallest value? (a) v (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/5 of a meter in centimeters?\nAnswer: 1540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o**2 - 28*o - 57. Determine m(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vprovsrsysvoo. Give prob of sequence vrvy.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -56538, -56532, -56522, -56508, -56490, -56468?\n\"Answer: 2*l**2 - 56540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 664944796.\nAnswer: 2, 1193, 139343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -10. Let g = k - -12. Solve 3*b = -4*w - 1, 37 = g*w - 5*w + 5*b for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 0\/(-8))\/((-1)\/8). Let r(c) = -c**3 + 9*c**2 + 8*c + 4. Calculate the remainder when r(6) is divided by (-2)\/d - (-163)\/4.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -10. Suppose 5*m - 8 = 4*m + y*z, -5*m + z = -54. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + (-52)\/(-44))\/(-1). Sort 0.1, 0, g, 3 in increasing order.\nAnswer: g, 0, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(120)\/sqrt(4)*3)\/(sqrt(90) - -1*sqrt(90)) - 2*-3*sqrt(192)*-2) + -1)**2.\nAnswer: 191*sqrt(3) + 109447\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - 18. Let k = 36.7305 + 0.0695. Let q = k + -36.8. Which is bigger: z or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -802*z - 435*z + 1650*z to d + r*z and give r.\nAnswer: 413","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d. Let p(r) = -2*r**2 - 48*r - 216. Let y be p(-18). Let k(z) be the third derivative of 0*z**3 + 1\/12*z**4 + y + 0*z + 6*z**2. Give k(b(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3978*g + 14*g**2 + 24*g**2 + 22*g**2 - 98*g**2 + 14*g**2 + 23*g**2.\nAnswer: -g**2 - 3978*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3682, -4 in ascending order.\nAnswer: -3682, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -4. Let n = -5 + 7. Let f = v + n. Solve -a + 5*a = f for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -7*k**2 + 191*k - 458. Calculate n(6).\nAnswer: 436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -110.\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96134632?\nAnswer: 2, 11, 409, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = r - 1400, 0*r - 4*r = 2*d - 5610. Let b = r - 1402. Suppose 1\/2*i**5 + b + 2\/3*i - 8\/3*i**2 + 23\/6*i**3 - 7\/3*i**4 = 0. Calculate i.\nAnswer: 0, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**4 + 3090*n**3 + 313600*n**2.\nAnswer: 5*n**2*(n + 128)*(n + 490)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-3\/11))\/u)**(1\/8) assuming u is positive.\nAnswer: u**(3\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267 = 284*f + 1437 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -6*a**2 - a - 3. Let p(r) = -r**2 + 5*r + 1. Let v(y) = 3*p(y) - t(y). Calculate v(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -99653.000074001 + 99653. What is o rounded to seven decimal places?\nAnswer: -0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5742 divided by 638.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*v - 509*v + 384*v.\nAnswer: 16*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 624041 to the nearest integer?\nAnswer: 790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11*(-7)\/(7 + -14)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 250*f - 11*f - 86*f + 9333 for f.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -2*x**3 - 8*x - 46. Let q(t) be the third derivative of -t**5\/15 - 5*t**3\/6 - t**2. What is -5*g(c) + 8*q(c)?\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/15 in -2\/3, -10, 70, 0.3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + t - 7, 5*o + 0*o = 2*t - 13. Let v be -2*(36\/(-28) - o). Sort 1, v, 0.3 in ascending order.\nAnswer: 0.3, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 10, 11, 12?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -3*m. Suppose m = -3*y + 98 + 67. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -287 = -4*f + 4*i + 133, 0 = 5*i. Calculate the highest common divisor of f and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 6*u - 4*k, -4*k = 4*u - 36. Let q be (12\/(-4) + 4)*u*-1. Let w(d) = 0 - 4*d**2 - 4*d + 3*d**2 - 5. Calculate w(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -144*k**2*m + 18*k**2 + k*m**2 + 2*k + 78*m**2 - 298 wrt m?\nAnswer: -144*k**2 + 2*k*m + 156*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31021243, -31021240, -31021237, -31021234?\nAnswer: -31021231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -t**7\/350 - t**6\/40 - 3*t**5\/100 + 9*t**4\/40 - 29*t**2. Let f(m) = 0. Calculate m.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knwnkkvkyvnkknkk. What is prob of picking 1 w and 1 y?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -123 + 489\/4. Let h(g) = 3*g**3 - g**2 + g. Let t be h(1). Suppose -7*q - 4 = t. Which is the closest to q? (a) r (b) 0.4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 5 = 3*z, -192*z + 197*z = -n + 17 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1001)\/140 + 6 + (6 - (-138)\/(-30)). What is the closest to -1\/3 in b, -3, 16?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1034\/7, -0.2, 0.111, 102?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.4 (b) -1 (c) 9 (d) -135\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/5 of a centimeter?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 135661977.4 rounded to the nearest 1000000?\nAnswer: 136000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114590 is divided by 75.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**2 - 2*r + 5. Let z(b) = -2*b**2 + b - 4. Let v(y) = 3*p(y) + 4*z(y). Let m be v(-1). Solve m*t + 5*i - 9 = 0, 2*t = 5*t - i + 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 5*q - 242. What is the greatest common divisor of 11 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/293123709 and -35\/9?\nAnswer: 293123709","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3315790763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 6 (b) 11 (c) 0.01 (d) 1\/2 (e) -0.2 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -58, -85, -132, -205, -310?\nAnswer: -453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 297 divide 787344921?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 61*b + 337. Let f be r(-6). Put 2, f, 5, -5 in increasing order.\nAnswer: -5, 2, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -1000?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73 - -84. Suppose 2*h = 2*t - 5 - i, 0 = -3*t - 2*h + 19. Suppose -8*u + t*u = -289. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 767319510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -4, 15, 0.2, 42899, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-96615)\/(-11865)*-2*2\/12\nAnswer: -19\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-2 + 10)*39\/78\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 25\/4 of a microgram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**3 - 5*z**2 + 5. Let p(c) = c**3 + 60 - c**2 + 2*c**2 - 61. Let b = 15 - 20. Let m = 1 - 2. Calculate b*p(y) + m*u(y).\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1149486 is divided by 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 60*i - 53. Let g be x(11). Suppose 440 = 4*b + 5*h - g, -4*b - 2*h = -1050. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 204?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-8)\/o)\/((o*o**(-2)\/o)\/o*o)*(o\/(o\/(o*(o\/((o\/(o*(o**(1\/4)*o)\/o*o*o)*o)\/o))\/o)))\/o*o**1 assuming o is positive.\nAnswer: o**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) 2\/7 (b) 9 (c) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3*l + 7, -11*h + 14*h = 2*l + 42. Let s(w) = 28*w**2 - w + 7. Let p be s(3). Calculate the highest common divisor of h and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 p when three letters picked without replacement from {i: 2, p: 8, t: 5, x: 2}?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2613931\/66 + 39603. Find the common denominator of 97\/354 and j.\nAnswer: 3894","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-5) + (1 - 2)*(-13)\/(1196\/(-437)).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.3, -4221, -1\/10, -4, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (892\/1784)\/(13\/(-4)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 27095*w + 55436363. Give s(-2046).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 426 + 401 = 0. Suppose 7 = -4*f - 5. Put 1, f, w in increasing order.\nAnswer: w, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - 2*sqrt(204)*-4)\/(4*sqrt(72)\/sqrt(6)))**2 + -4.\nAnswer: 1313\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.8, -5, -755 in decreasing order.\nAnswer: -1.8, -5, -755","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -506 + -b66?\nAnswer: -116c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 585*g**3*k - 9*g*k**2 - 9*k**2 + 9*k - 19 wrt g?\nAnswer: 1755*g**2*k - 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.01 (b) -36 (c) -5 (d) 733\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37647709*j*w**2*y**3 - 4*j*w*y + 125*j*y - 6*j - 3*w**2*y**3 + w*y**2 - 2*w*y + 3*y**3 + 3*y wrt w.\nAnswer: 75295418*j*y**3 - 6*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -13556.028.\nAnswer: 2711.2056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -329968 and 0.06242904.\nAnswer: -329967.93757096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 286*a**3 - 58*a**2 + 19*a. Let z(p) = -47*p**3 + 10*p**2 - 3*p. Determine 3*y(m) + 19*z(m).\nAnswer: -35*m**3 + 16*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2 - b. Calculate the remainder when c(-4) is divided by -2 - (0\/1 - 15).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-67\nAnswer: 6.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -129 (b) -5 (c) 30\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 255, 966, 2033, 3348, 4803, 6290?\n\"Answer: -18*k**3 + 286*k**2 - 21*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1095892 = -a + 4*i, 3*i = 3*a - 1000940 - 2286727. Let s = a + -104108417\/95. Let z = s - 105\/19. Which is smaller: z or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 143*-0.14801\nAnswer: -21.16543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5555348386 to the power of 1\/3, to the nearest integer?\nAnswer: 1771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*w - 21515, 333*x - 2*w + 64525 = 336*x. Is x a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -18813 (b) -4 (c) -2 (d) -0.26 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*f - 2101 + 7253 = 0 for f.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 75856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4199, 8427, 12679, 16955?\nAnswer: 21255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.68 - -0.58. Let i = 215 + -135. Let b = -79.9 + i. Which is bigger: b or n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 85629832 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjxj when four letters picked without replacement from {x: 4, j: 6}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 45?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -144.3549 and -0.89.\nAnswer: -145.2449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-54 - -12 - (-5 - -7)) + -8.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3120\/(-50))\/(9\/(-30)). Calculate the greatest common divisor of 16 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.077 + 2.923. Suppose 0 = -n - 4*l - 12, -6*n - 12 = -n + 4*l. Let y be n\/(-3 + 2\/2). Sort x, y, 0.3 in ascending order.\nAnswer: y, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l - 4. Let m be y(-5). Let s(u) = 3*u**2 + u + 1. Let w be s(-2). Calculate the highest common factor of m and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324699 is divided by 64483?\nAnswer: 2284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/44102736 and -77\/4698?\nAnswer: 396924624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 41066 = 16526. What are the prime factors of g?\nAnswer: 2, 5, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -2*w + 186 - 76, -5*t - 173 = -3*w. Which is the biggest value? (a) w (b) -2 (c) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 53431764.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -403.67 at least as big as 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 + 6)\/(-1)*70\/735?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 778, 1557, 2336, 3115, 3894, 4673?\n\"Answer: 779*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 72*v**3 + 72*v**3 - 2 - 3*v - 144*v**3 + v**4 - 42*v in the form s*v + d*v**4 + t*v**2 + i*v**3 + a and give s.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -263 + 263.0923. Let f = o + -0.291. Round f to two decimal places.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*t**0\/t)*t)\/t)\/t)**37\/(t**4\/t**(-5\/2))*(t*t**(1\/3)\/t*t\/((t**(2\/15)\/t)\/t))**40 assuming t is positive.\nAnswer: t**(243\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2. Let t(i) = 129*i. Give t(r(d)).\nAnswer: -129*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*c - 5*a - 221 = -66*c, -a = 14*c + 30 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -6*h + 3*h. Let s(i) = 10 + 12*i - 16*i + 4*i**2 - 47. Is s(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -593 + 420.5. Let r = -173 - z. Let s = 0.17 - -0.03. Sort s, r, 0.6 in ascending order.\nAnswer: r, s, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 301959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(2) - (sqrt(8)\/sqrt(4) - sqrt(2))) - (sqrt(2) + -2*sqrt(2)*1))**2.\nAnswer: -16*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2959\/2 - 1482. What is the closest to 0 in -18, b, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -32372376875432.\nAnswer: -32372376875431.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27573072.\nAnswer: 2, 3, 574439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 747112801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = z + 28, -3*z + 653*l - 29 = 649*l for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -75.32 + 33.55. Let s = -42 - w. Let r = 0.43 + s. What is the second smallest value in r, 1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 4:43 AM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -21101102?\nAnswer: 21101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/10 - 64\/(-20). Suppose 2*m + 3*m - t = 22807, 18238 = 4*m + p*t. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -234802277*v**5 - 132*v - 706198 wrt v?\nAnswer: -4696045540*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/3*(-66)\/(-198)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(-8)\/(-6)*2\/16. Let j be (-543)\/63 + (-1 - -2). Let t = 22\/3 + j. Is t at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9879 and 17871.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 2*o, b - 6 = 4*o. Let r be (3 + b)*2\/6. Suppose 0 = g + 1 - r. What is the least common multiple of g and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*c + 42 - 4 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 88230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 275002497 divided by 63\nAnswer: 4365119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 228 - 98. Let o = z + -128. What is the closest to o in 1, 1\/5, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 364 + -474.4. Let t = s + 110.3543. Round t to three decimal places.\nAnswer: -0.046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*b + 336 = -33*b. What is the least common multiple of 16 and b?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 133, 132, 131?\n\"Answer: -d + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2*o + 1)*(-1 + 3 - 1)*(-1032 + 2039 + 4072)*(-3*o**2 - 7*o**2 + 7*o**2) to the form t*o**2 + g + n*o + h*o**3 and give h.\nAnswer: -30474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -4, 2\/17, 2\/3, 3\/2, -2\/5 in decreasing order.\nAnswer: 3\/2, 2\/3, 1\/4, 2\/17, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 3*s - 12. Suppose 7 = 5*d - 2*j, -4*d = -j - s + 5. Suppose -d*u - 2010000 = -6*u. What is u rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3038*u**2 - 4784*u + 1892*u**2 - 1488*u**2 + 232*u**2 + 1818*u**2 wrt u.\nAnswer: 10984","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1585 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1235924 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/((v*v**2\/v)\/v))\/v**(2\/13))**37 assuming v is positive.\nAnswer: v**(407\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 3, 1 in descending order.\nAnswer: 3, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 406075 is divided by 31216.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12899*u = 30*k + 12894*u + 1205, k - 4*u = -21 for k.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 13) in base 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gjkj when four letters picked without replacement from jzkjjjgpsgzg.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 20398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 e when four letters picked without replacement from {r: 5, l: 1, w: 2, e: 8}.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 742304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 y when two letters picked without replacement from {z: 1, l: 7, b: 6, y: 4}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a hour in minutes?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10\/333 - -434\/333. Let d(l) be the second derivative of 1\/10*l**5 - 1\/24*l**4 + 0 - s*l**3 + 5*l + l**2. Solve d(f) = 0 for f.\nAnswer: -2, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 6085*g**2 + 1942263*g + 2129. Give k(-304).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/12)\/(2*(((-969)\/(-76))\/17)\/(-285))\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1aa58 - 1?\nAnswer: -1aa59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 159 = 198. Calculate the highest common factor of j and 663.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 123.51 - 123.71. Let g(b) = b**3 + 5*b**2 - 6*b + 3. Let f be g(-6). Suppose 0 = f*i, 3*i - 8 - 4 = 4*x. What is the closest to 3 in h, x, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6, 16, 40, 84, 154, 256, 396?\n\"Answer: r**3 + r**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 635 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*j = 16312 - 68038. What is the highest common divisor of 6 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000012168348015 to six dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 8:27 AM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/(-4))\/(10\/(-40)))\/((-1)\/(-5)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 55331 to the power of 1\/2, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - o - 1)*(-2 - 2 + 2) + (2*o + 2 - 2)*(2 + 0 - 4) + 0*o + 0*o - o + 2*o + o - 4*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 2\/1647 (b) 1 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*c**2 + 12*c**2 + 7*c**2 + 3 as o + y*c + b*c**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5005*g + 3177 = 6901 + 11139 + 10162 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/129 - 13\/86. Suppose 0 = 2*y - 5 + 15. Let m = 6 + y. What is the closest to -1 in m, l, 0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -a54b667?\nAnswer: a54b664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 5 - 11 = -4*q, r + q = 4. Suppose 4*w = -r*z + 1 + 3, w + 24 = 5*z. Solve n = -z*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.515 + 6.346. What is s rounded to 1 decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - 7 - 12 - -15 - 147 - -1?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -30, 0.2, 3, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -5*l, l - 4*d + 9*d = 0. Let t = 3 + 8. Let k = -10.8 + t. Which is the closest to l? (a) k (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -2, -0.3, 1\/22?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 19\/5 + (-4 - -13) + -12. What is the closest to -2 in -1\/5, w, 0.02?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 401 + 5?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 225 = -1062. Let g = v - -440. What is the smallest common multiple of g and (5\/(-1))\/(1 - 2)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34713 divided by -9?\nAnswer: 3857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100564 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17144 plus -6.5?\nAnswer: 17137.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/sqrt(4))\/sqrt(11) + sqrt(5) + 2.\nAnswer: 2 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 20, 20 - 29 = r + i for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 7 + 1. Suppose -l - 2 = -17. Suppose 0 = 3*v - y*h - 15, h = 4*v - 0*v - l. Solve 0 = -n + 4*n + v for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6233248 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 2\/1351?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 110?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from popdpgdopgggpgoq. Give prob of sequence popd.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38\/9 - 40\/9*t - 2\/9*t**2.\nAnswer: -2*(t + 1)*(t + 19)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -3.1. What is the nearest to 12\/13 in u, 0, -2\/15?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-1023)*33\/(-121). Let j = o - -521377\/22506. What is the common denominator of j and (-484)\/(-40) - (1 + 0)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8180?\nAnswer: 2, 5, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011138330971 rounded to 3 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 9) to base 5\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -448d0a (base 16) in base 8?\nAnswer: -21106412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 116.1862 years?\nAnswer: 0.1161862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1866, -1\/4, -167, -14 in descending order.\nAnswer: 1866, -1\/4, -14, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 t when three letters picked without replacement from jtwyyuuywtztzuw?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.060041749 to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 260 - 258. What is the second derivative of 2*t - 60*t**k + 24 - 23*t**2 - 2*t**2 wrt t?\nAnswer: -170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2578*b - 2604*b - 520 = 0 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 times -0.4?\nAnswer: 11.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 153757112?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 748793, 1497583, 2246371, 2995157?\n\"Answer: -c**2 + 748793*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -4\/3*z**3 + 3\/4*z**4 - 9 + 225\/2*z**2 + 3*z. Differentiate v(w) with respect to w.\nAnswer: 18*w - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of r**3\/3 + 15*r**2\/2 + 64*r - 48. Let b be j(-7). Calculate the highest common divisor of b and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 18*a**2 - 40*a + 8 = 0.\nAnswer: 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/sqrt(4) + -1)**2*-5.\nAnswer: -60 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 529451.4 millilitres to litres.\nAnswer: 529.4514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40393177883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2611685489 to the power of 1\/2, to the nearest integer?\nAnswer: 51105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (18\/8)\/((-3)\/8). Let f be 4\/2 + o\/2. Which is smaller: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - -1. Let h = x + -8. Let m(j) = j + 5. Let i be m(h). Solve -2*f - 1 - i = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/349 (b) 2 (c) 400 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28118 - 43118. Round i to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 426554923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4b2 - -2?\nAnswer: -4b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(11)*1)**2*6 + sqrt(11)).\nAnswer: -132 - 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gstte. Give prob of sequence gst.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 11*v**2 - 2*v - 1. Let l = 5 + -6. Does 4 divide o(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*y**3 + 3625*y**2 + 435806*y wrt y.\nAnswer: -150*y + 7250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 - -134\/3. Let w = 480.6 - 481. Let n = 3.7 + -0.7. Which is the nearest to d? (a) w (b) -0.5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 177525 = f, 70254 = -5*b + 4*f - 151666. 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: Let o(r) = 3*r**2 + r - 1 - r**3 - r + 0. Let w be o(2). What is the remainder when 14 is divided by (1 + -2)\/(w\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 7629 = -239. Is 23 a factor of 9\/15 + s\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173, -299, -385, -437, -461, -463, -449?\nAnswer: -425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10731 - 10303. Calculate the remainder when p is divided by 85.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 24*d - 1. Let q(t) = -60*t + 3. Calculate -5*q(c) - 12*x(c).\nAnswer: 12*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 18. List the prime factors of (-5 - 16254\/(-30)) + y\/(-10).\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10122 + -10124. Let l(r) = r**3 - 30*r**2 + 11*r + 11. Let n(o) = -3*o + 0*o - 2 + o + 6*o**2. What is h*l(b) - 11*n(b)?\nAnswer: -2*b**3 - 6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003538 to four decimal places.\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 741390?\nAnswer: 2224170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 105 and 8*285\/18 - (-12)\/(-18).\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -5*m - 6. Let f(z) = 22*z + 24. Let j(d) = 18*a(d) + 4*f(d). Let n be j(-6). Factor n + 0*w**2 + 2\/7*w**4 + 0*w + 2\/7*w**3.\nAnswer: 2*w**3*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.5 + 23. What is j rounded to 0 dps?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*l = 242*l + 14*l - 5589 for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -2*p + 0*p**2 + 5 + 5\/3*p**3. What are the prime factors of s(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-5*sqrt(125)\/sqrt(5))\/(-2*sqrt(45)\/sqrt(9)*3).\nAnswer: -5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5437713 microseconds in seconds?\nAnswer: 0.0000005437713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - n + 0*n)*(0 + n**2 + 0) + 5*n - 5*n + 2*n**3 + 2*n**3 - 5*n**3 - 11*n**3 + (n - 5*n + 2*n)*(0*n + 0*n - n**2).\nAnswer: -11*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 13\/5 of a second?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*r**3 - 55*r**3 + 3 - 3.\nAnswer: -113*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-63)\/(-9))\/(220\/(-17)) and -19\/48.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 3. Let i be (-1)\/(3 - (-86)\/(-28)). Let t be 2\/(3 - i\/6). What is r(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 r when two letters picked without replacement from arraaa.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by (-27)\/18*10*(-1)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.22151 - 0.02151. Sort 8, 2, 0.4, 1.8, j in descending order.\nAnswer: 8, 2, 1.8, 0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 3\/(315\/276). Let r = 4\/7 + u. Is r at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/4)\/(2\/(-5))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.9 - -1. Let q be ((-2 + 1)\/(-1))\/(10\/30). Sort t, q, 0.4 in descending order.\nAnswer: q, 0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**2 - 9*s - 16. Let b be o(7). Suppose a - 16 = -3*a - x, 3*a - 3*x - 12 = 0. Calculate the highest common divisor of a and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 114*p**3 - 5 - 111*p**3 + 222*p**3 + 6.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25057 is divided by 646?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-292)\/73)\/((-2)\/6*4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 286*z + 99*z - z in the form n + o*z and give o.\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, x: 6}. What is prob of sequence xxxx?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -726\/7 - -104. Let w be (-133)\/266*16\/6. Which is the closest to o? (a) w (b) -2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 12 = 11*h - 13*h, h - 3*g + 8 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17\/5 - 19\/5. Which is the closest to 0.1? (a) j (b) 0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c + 171 - 171.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -32, -33, -42, -65, -108, -177, -278, -417?\n\"Answer: -g**3 + 2*g**2 - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 94, 206, 362, 562, 806?\nAnswer: 1094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 11*m - 8*m. Let 9\/2 + 1\/2*h**2 - m*h = 0. What is h?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 57958947*k**3 - 2*k**2 + 315583*k - 10.\nAnswer: 347753682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 6*u + 3. Let h be x(-6). Suppose 5*i + 2 = -h, -2*d + 3*i + 1 = 0. Put 4\/7, -2\/7, d in descending order.\nAnswer: 4\/7, -2\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*c = 6*c + 11520. Is 20 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 8687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -0.888324.\nAnswer: 3.553296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight fifteenths of a decade?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 m when four letters picked without replacement from {m: 3, q: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 - 1020*f + 3042.\nAnswer: 2*(f - 507)*(f - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 107*u - 244. Let g be i(17). What is the highest common divisor of 126 and g?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001111111000111001 - -101?\nAnswer: -1001111111000110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 962033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -124, 152, 0, -11, 1 in descending order.\nAnswer: 152, 1, 0, -11, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -372*q**2 + 188*q**2 + 184*q**2 + 160*q**3 + 141*q**3 - 320*q**3.\nAnswer: -19*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 + 7 - (-680 + 592)?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2. Let c be l(2). Let a be 4 + c*(-1)\/2. Solve 20 = -a*b + b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 267 - 83. Is c a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n**2 - n + 1. Let s(i) = 26*i**2 - 91*i + 91. What is -182*a(j) + 2*s(j)?\nAnswer: -676*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-33) + 1\/(-11). Sort -4, z, 210 in ascending order.\nAnswer: -4, z, 210","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 0. Let s(h) = -10*h + 3. Let f(r) = 5*r - 2. Let z(i) = -3*f(i) - 2*s(i). Let q(v) = 21*v. Give d*q(u) - 9*z(u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 154, -2512, -12088, -32774, -68770?\nAnswer: -124276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -47*b**2 + 323*b + 20. Calculate x(7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -690*i**2 - 34*i**4 + 257*i**4 + 688*i**2 + (-i + 0*i + 0*i)*(2*i**2 - 2*i**2 - 2*i**3) - 2*i**2 - i**4 + 2*i**2.\nAnswer: 224*i**4 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -5*q - 8. Which is the nearest to 3? (a) 0 (b) q (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = l - 4. Suppose -l = 2*d - 0*d. Let p be -1 - (10\/d - -2). Is p greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from alsalhgt. What is prob of picking 1 l, 1 g, 1 s, and 1 a?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 175*v - 932. Does 128 divide t(28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*w**3 + 4*w**3 + 2*w**3)*(26*w - 52*w - 56*w + (1 - 5 + 3)*(1 - 1 - 2*w)).\nAnswer: 80*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 8*f + 5. Let r be d(8). Let t = r + -2. Which is bigger: -1\/4 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2232\/1240)\/(2\/60430*3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4293799?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.202963 rounded to 2 dps?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/7 - 54280*x**2\/7 - 108566*x\/7 - 54284\/7.\nAnswer: 2*(x - 27142)*(x + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5a18b6 (base 12) to base 4\nAnswer: 11203013022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 6:47 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 12*y - 131*y + 3)*(10*y + 10*y + 9*y).\nAnswer: -3451*y**2 + 58*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 10. Let b(g) = k*g - 9 + 5 + 6. Give b(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4331289 is divided by 1443660?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -8*49758\/(-336) + (-4)\/(-14)?\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-63)\/(-54096)*16)\/(36\/56).\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3393 is divided by 3391?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -294 + 296. Let x(u) = a + 2 + 0 - 187*u - 4. Let y(d) = -2*d**2. Determine x(y(c)).\nAnswer: 374*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express f**3 + 4 + 2814*f**4 - 1518*f**4 - 1697*f**4 as b*f**4 + v*f + t*f**2 + i*f**3 + h and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24015?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 + 5*l - 1. Suppose 4*c + 4 = i + i, -3*c - 4*i = -8. Suppose 10 = -p - 3*s, 0 = -3*p + 4*s - c - 4. List the prime factors of d(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, o: 3, y: 3, r: 1, j: 1}. What is prob of sequence ykyo?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*3 + (-2 - -2). Let v = 23 - 32. Let y = v - k. Solve y = 3*s - 0 + 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 354923609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323 is divided by 109.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 276\/23*(2 - (-7)\/(-4))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 4:35 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134877.2cm to kilometers.\nAnswer: 1.348772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -827949, -828294, -828639?\nAnswer: -828984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (2 - 17 - (32 - (-24 - -34))).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 850 and 240975?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2606 times 0.3299\nAnswer: -859.7194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -0.2, 0.1, -12, -40, -13?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**4\/6 + 203*x**3\/3 - 1381*x**2\/2 + 3532*x\/3 - 1664\/3 = 0?\nAnswer: -416, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**5 - 61*j**4 - 810*j**3 - 1130*j**2 + 17611*j - 15609 = 0. Calculate j.\nAnswer: -43, -11, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 3\/7 (c) -7.4 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5011 - 87*q - 5011)*(8*q + 66 - 68 - 3*q) to c*q + t*q**2 + p and give t.\nAnswer: -435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of r**3\/21 - 534*r**2\/7 + 285156*r\/7 - 623. Factor i(f).\nAnswer: (f - 534)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*c - 357 = -1549 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 5) in base 3?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 24, -9, -70, -165, -300, -481, -714?\nAnswer: -1005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 55, 79, 105, 133, 163?\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6102087 years in months?\nAnswer: 7.3225044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t + 6. Let u be z(-4). Let p be (-7)\/2*(0 - u). Suppose o - 1 = p. What is the smallest common multiple of o and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -13*f**2 - 10*f + 8. Let b = 54 - 60. Let x(s) = 14*s**2 + 11*s - 10. Let u(n) = b*m(n) - 5*x(n). Find the second derivative of u(v) wrt v.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -542625 (base 7) to base 4\nAnswer: -113012232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-12908.\nAnswer: -5163.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6}. What is prob of sequence gg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (159248\/18)\/4 - (-6)\/27. Suppose -w + x = 3*w. What are the prime factors of w?\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11000011101 (base 2) to base 12.\nAnswer: -aa5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/14 + -26 + 336768\/12432?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of k**4\/54 - 9*k. Factor h(p).\nAnswer: 2*p**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-4) + (-6)\/(-12). Let c be ((-19)\/y)\/((-1)\/22). Suppose 2*s = 3*m - 316, 2*s - c = -2*m + 3*s. Is m a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -78 - -118. Does 17 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 w, and 1 i when three letters picked without replacement from keiwweeeeieewew.\nAnswer: 64\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5848 and 2752?\nAnswer: 46784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45270849 is divided by 15090259?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -535523 + 146?\nAnswer: -535344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 9:27 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3924*r**3 + 1744*r**2 + 1744*r - 1744. Let s(t) = t**3 - t**2 - t + 1. Calculate 1744*s(z) + u(z).\nAnswer: -2180*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142 (base 5) to base 6.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + 1 + -3 + -1. Suppose 3*i + 5*f = -0*i - 11, h = 2*i + 4*f + 8. What is the nearest to -1 in -8, -0.1, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, m: 4, i: 2, x: 2, h: 6}. What is prob of sequence mix?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 304 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1930444117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117678674.\nAnswer: 2, 2153, 27329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-180)\/6*((-2130)\/(-240))\/71?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + k + 2 + 1 = 0, -4*h + 9 = -3*k. Let q be ((-6)\/(-9) - h)*3. Solve 2*w = -3*x - 10, q*x + 20 = -3*x - 4*w for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1666 is divided by 209?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10267 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-410 + 410 - 78*v**2 - 3*v + 3*v + 2*v**2 + (-v - v + 3*v)*(3*v - v - 3*v))*(2*v**2 + 5 - 3*v**2 - v**2).\nAnswer: 154*v**4 - 385*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h**3 + 6*h**2 + 2*h**2 - 4*h + 6310*h**4 - 6312*h**4 + 27*h as b*h**2 + s*h**4 + w*h**3 + p + g*h and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b. Let r(x) = -2*x. Let d be 4\/((6*-1)\/(-3)). Let s(z) = d*n(z) - 6*r(z). Let o be 520\/(-56) + 4\/14. Let i(l) = -13*l. Give o*s(t) - 4*i(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132267504.\nAnswer: 2, 3, 647, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1956.73 - -1946. Let l = i - -10.1. Round l to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/271 or 1?\nAnswer: 4\/271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 34. Let w(h) = 5*h + 46. Let p be w(-5). Suppose 436*q - 429*q - p = 0. Solve 0 = s + q*s + f for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 268039 and 19601?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7099 divided by -31.\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, 164, 449, 848, 1361, 1988?\nAnswer: 2729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53 - -63. Calculate the remainder when 29 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ehxhexeaae. Give prob of sequence eehh.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*d - 185 = 66*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) 603 (c) 3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -4\/7, -1\/5, 0.3, 2, -782?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/30*10 + -11 + 19. Let l(q) be the first derivative of -5\/3*q**3 - 20*q + 17 + k*q**2. Find a such that l(a) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**27*g\/(g*g**33*g) assuming g is positive.\nAnswer: g**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 92 and 276.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -136, -274, -412, -550?\nAnswer: -688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2595 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 7 = -11*q. Let d be q + 2 - (8 - 10). Suppose 4*b = -d*b + 2849. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3.006, -7, -2\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 3) to base 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 6:43 AM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of 179*k**5\/10 + k**4\/12 + k**3\/6 + 104*k**2. List the prime factors of o(-1).\nAnswer: 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 3:15 AM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 72 - 58. Let j be (2\/(-5))\/((-3)\/15). Suppose -5*i + 3*y + f = 0, i = j*i + 5*y + 14. Is 1\/4 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**4\/4 - 7*r**3\/4 + 11*r**2\/2 + 7*r - 18 = 0.\nAnswer: -9, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 + 3*w**2 + w**4)*(0 + 0 - 2*w) - 3 + w**5 + 1 - 6*w**5.\nAnswer: -7*w**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and -1079.6093.\nAnswer: -1075.6093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -74d (base 14) in base 3?\nAnswer: -1222101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*t + 2*t. Suppose -f - 4 + 6 = t. Solve f = -j - 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.2 + -181.8. Let q = -190.8 - y. Let i = 0.01 - 0.01. Sort 4, i, q.\nAnswer: i, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yynt when four letters picked without replacement from hhlynhyyinhntinnnlhi.\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 64222, 63548, 62422, 60844, 58814, 56332?\n\"Answer: -226*w**2 + 4*w + 64444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*5*sqrt(2187))\/(5*1*sqrt(576) + sqrt(576)))**2.\nAnswer: 6075\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 328?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -7*s**2 - 10*s - 26*s**3 + 1 - s**2 + 25*s**3. Let v(y) = y**2 - 6*y + 2. Let k be v(3). What is the units digit of a(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -93*f**2 - 35*f**3 + 93*f**2 - 5*f**3 + f**3 - 8*f**2 + 6*f**2 + 2*f + 2*f**3 - f**3 + 0*f**3 + (-22 + 62 + 10)*(5*f**3 + f**3 - 4*f**3).\nAnswer: 62*f**3 - 2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50534003 (base 6) to base 11.\nAnswer: -8a6425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 5*l - 1, -5*t + 3 + 6 = -3*l. Let m(x) = -x**2 - x + 5. Let z be m(0). Sort -6, z, t in descending order.\nAnswer: z, t, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39189.\nAnswer: 3, 13063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssssssssddddsssdd. Give prob of picking 4 d.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of s**6\/120 - s**5\/60 + s**3\/3 - s. Let z(x) be the second derivative of i(x). Find the second derivative of z(n) wrt n.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -568 + 1238. What are the prime factors of x?\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*d - 4 = -95*d. Let u(v) = -18*v**2 + 29*v**d - 5 - 10*v**2 + 2*v. Calculate u(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and -28355745.\nAnswer: -28355741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3336377 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 10*i**3 - i**2 + i - 1. Let n be h(1). Let b = n - 6. Factor 2*z**5 + z**4 - 3*z**5 + 0*z**3 + 0*z**b.\nAnswer: -z**4*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 68, 236, 564, 1106, 1916?\nAnswer: 3048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**3 - z**2 - 1. Let s(v) = -198*v**3 + 42*v**2 + 42. Determine -5*s(o) - 210*u(o).\nAnswer: 570*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 527 + -725. Let u = -198.1 - s. What is the closest to u in 0.4, -2\/33, 2\/19?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**5 + k**4 - k. Let t(m) = -8*m**5 - 2*m**4 + m - 11. Let l(d) = -2*i(d) - t(d). Find the second derivative of l(z) wrt z.\nAnswer: 200*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7890039mm to nanometers.\nAnswer: 789003.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 3. Let q = -5 + 8. Calculate the remainder when (-18)\/3*(-4)\/q is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -w + 1414, -2*w + 2*g = -3542 + 702. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 200.1 + -191. Let f = 8 - x. Let b = f + 1.158. What is b rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 5*b + 1. Let q be r(3). Let z(k) = -k**3 - 6*k**2 - 6*k - 7. Calculate z(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23517?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21299.\nAnswer: 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 168, 1076, 3, 36, -1 in descending order.\nAnswer: 1076, 168, 36, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1761 at most as big as -1761?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 3:18 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*v - 54. Let z = 0 + v. Let o = z - -27. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - -2. Let g(s) = s**2 - 8*s - 5. Let c be g(9). Let q(z) = -c*z - 3 + 5*z - 1. Calculate q(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c**3 - 21*c**2 - 4*c + 3. Calculate m(-7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -y + 5*y. Let f(x) = -2*x**3 + 3*x**2 - 2*x + 4. Is f(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56143782 to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 o when two letters picked without replacement from xoyjdvx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 8236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2391160*l + 3538 = 2391221*l for l.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w - 3. Let n(h) = -2*h + 5. Calculate -2*n(z) - 5*o(z).\nAnswer: -z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * 593397.\nAnswer: -4747176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40896805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 3, 31, 0.4, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 990215102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 5*z**2 + 7*z - 1. Suppose -4*j + 12 = -j + 2*v, j - 2*v = 12. Let a be q(j). Solve -a*x = 2*o + 13, 3*x = -0*o + 3*o + 9 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -38107 - -18067?\nAnswer: -20030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 80762*b + 192. Let i be g(-16). What is i rounded to the nearest ten thousand?\nAnswer: -1290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/8 and (1 - -1) + 1389\/(-2322)*3.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1*30)\/(-2))\/((1485\/(-15))\/(-33)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*v**2 - 10*v**2 - 6*v**3 - 10*v**3 + 29*v**2 - 5*v**2.\nAnswer: -16*v**3 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 28 = -4*j, -4*o + 34 + 26 = 4*j. What is the third derivative of -2*z**4 + 27*z**4 + 14*z**2 + 34*z**3 - 20*z**3 - o*z**3 wrt z?\nAnswer: 600*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 555006 and 574062?\nAnswer: 2382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -11, 5, -2, 2, 28 in descending order.\nAnswer: 28, 21, 5, 2, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - (-10)\/(-2))*(-47 + 8). Suppose 335 = -2*s + 2*x + m, -4*s - 5*x - 472 = 0. Let y = 232 + s. What are the prime factors of y?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1248.1512 - -100861\nAnswer: 102109.1512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2963*m + 133 + 2994*m + 115. Let i be p(-8). Which is the closest to 0.1? (a) i (b) -4\/9 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*0.06\nAnswer: -0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 221548*d**4 + 276785 with respect to d.\nAnswer: 886192*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -50065 * 0.05024\nAnswer: -2515.2656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence az when two letters picked without replacement from qafzabi?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*m - 51*m = -311739. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26056.623 months to years.\nAnswer: 2171.38525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - n + 1. Let d(f) = 11*f**2 - 3*f + 6. Let p(k) = d(k) - 6*u(k). What is the second derivative of p(z) wrt z?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 6*r + 2. Is k(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 7*g - 12. Let h be d(-9). Find the common denominator of 2 + ((-69)\/(-6) - 0) and h*1\/(2 - 9).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2 - 1 = 3*m, 4*u = 2*m. Let n be -6 + m + 2 + 4. Suppose -5 - 1 = n*y, 5*y + 9 = -3*t. Sort -3, 0, t in descending order.\nAnswer: t, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 340 divided by 362\nAnswer: 170\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/3)*v)**(-3\/8)\/(v**(-2\/5))**(5\/4))\/((v*(v**(-2\/3)\/v*v)\/v)**7\/(v**(2\/9)\/v**(5\/4))) assuming v is positive.\nAnswer: v**(35\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (150\/9)\/((-48)\/(-216)). What is the greatest common factor of 825 and u?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h - 5*k + 16, 216*h - 219*h - 6*k - 12 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -224*d - 2. Let b(c) = 9*c**2 + 81*c**2 - 100*c**2. Give z(b(r)).\nAnswer: 2240*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 7 = -2*r - 3, 0 = -5*l + 10. Let o be 19\/(-9)*r - 4. Let h = -172 - -167.4. Which is smaller: o or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 e when four letters picked without replacement from {s: 4, e: 6, b: 3, j: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2535232386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1113431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eyayjyjyeyyajyayyeyj. What is prob of sequence ee?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 e when three letters picked without replacement from {c: 1, z: 2, e: 1, t: 1, a: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 + 441 = -7*b. Let g = 75 + b. Suppose -m = g - 30. Is m a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4194503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -3*r**4\/8 + 95*r**3\/8 - 135*r**2\/2 - 665*r\/2 - 294 = 0.\nAnswer: -2, -4\/3, 14, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -17\/2*o**2 + 20*o - 3*o**3 + 1\/4*o**4 + 7. Let m be i(11). Calculate the highest common factor of m and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3689.105668 minus 0.02?\nAnswer: -3689.125668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 645\/(-70)*(-3766)\/(-807)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - ((-2 - -8) + -15).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(800)*1)\/(sqrt(40)\/(sqrt(4) - sqrt(36))) - ((sqrt(5) - ((-3 + sqrt(5))**2 + sqrt(5))) + 0 - (sqrt(5) + -1 + -2)).\nAnswer: -13*sqrt(5) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.3 + 6.3. Sort v, -0.08, -1\/2.\nAnswer: -1\/2, -0.08, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(36)\/(sqrt(36)\/(sqrt(108) - sqrt(3))).\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**6\/r*r)\/r*r)\/r**(2\/5))**(-1\/2)*(r**(-1)*r*r**(1\/8))\/(r\/r**(-1)*r*r*r**4*r) assuming r is positive.\nAnswer: r**(-467\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2678*g + 9946*g + 3064*g + 12477*g to b + o*g and give o.\nAnswer: 28165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 14*m - 4. Calculate g(-12).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3773205629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22537.\nAnswer: 31, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 145884202 to the nearest integer?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -31*z**3 + 4*z**2 + 6*z + 3. Determine u(-1).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1974\/(-21)*(-9 + 8)*(-8)\/16.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/1)\/(50\/(-4)))\/(6\/10).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*o + 24*o - 5*p = 1426, -3 = -3*p. Does 22 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2242)\/177)\/(14\/6) - -6?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -5.3957 in decreasing order.\nAnswer: 4, -1, -5.3957","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 4*i. Let p(j) = 4*j. Give -3*l(v) - 4*p(v).\nAnswer: 3*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9191, -9188, -9183, -9176?\nAnswer: -9167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -9. Let b = 4 - m. Calculate the lowest common multiple of b and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 10 = 8*i - 13*i, 0 = -3*t + 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 549812 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 49 + 6?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((5\/(-2))\/5)\/((-9)\/(-666)). Let c(v) = -13*v - 64. List the prime factors of c(a).\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of g**3\/2 + 2*g**2 - 402*g. Give d(7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 91 + -88. Suppose -2 = -4*b - 2*u, 4*u + 3 = -3*b - p. Let g(x) = -3*x - 2. Calculate the least common multiple of g(-4) and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.818 - 0.618. Sort 10\/3, m, -0.1, 3\/4, -2\/5 in decreasing order.\nAnswer: 10\/3, 3\/4, m, -0.1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 10578379?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -978465023*b**2 + 287318049 wrt b.\nAnswer: -1956930046*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4301 = 6*f - 5731. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(-20) + (-14)\/4 + 5. Which is the closest to -3? (a) p (b) 0.4 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40017720 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6868 and 42500.\nAnswer: 4292500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 99044.21m in nanometers?\nAnswer: 99044210000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/(q**(-1\/4)*q)))\/q*q\/q**(-2\/11))**(-48))**(-8\/9) assuming q is positive.\nAnswer: q**(1312\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 8*r + 2. Let f be a(-8). Suppose -32 = -4*z - f*p - p, 4 = p. Solve 0 = -z*s + 2*s + 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*o + 6 + 52 = 0. Put o, -2, 4, 29, 10 in descending order.\nAnswer: 29, 10, 4, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**34*x**37)**(3\/17) assuming x is positive.\nAnswer: x**(213\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100101 - -101?\nAnswer: 1101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.03 (b) 0 (c) -2 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 15 + 3 = 0. Let f = a + 38. Solve 4*h - 5*n + 8 = 0, 4*h + 5*n - f = -0*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -y**6\/75 - 11*y**5\/50 - 19*y**4\/15 - 52*y**3\/15 - 24*y**2\/5 + 319*y - 3. Determine b, given that a(b) = 0.\nAnswer: -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3491964 and 7560.\nAnswer: 34919640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k\/k**(-4\/7))\/k)\/(k**36\/k) assuming k is positive.\nAnswer: k**(-234\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 314054660 to the power of 1\/3, to the nearest integer?\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23121796 - 7421776. Let m be l\/10 - 2\/1. Suppose 6*i - 7*i = -m. What is i rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 + (47 - 1) + -9 + -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -8*v**7\/7 - 6*v**5\/5 + v**3\/3 - v**2\/2 + 4. What is the third derivative of w(s) wrt s?\nAnswer: -960*s**3 - 144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 6*a + 1. Let l be y(6). Let w = 26 + -15. Let t be w\/(-2)*-2*l. Calculate the highest common divisor of t and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -921943.57918237.\nAnswer: -921943.47918237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021012021120212100 - 0?\nAnswer: 1021012021120212100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3 + 42*h**2 - 177*h + 210.\nAnswer: -3*(h - 7)*(h - 5)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4046 and 1.\nAnswer: 4047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 0.026 (c) -0.4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 30 = 0, 8*n - 10*n = 17*i - 61943. What is the remainder when i is divided by 81?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in -3\/5, -0.5, 20\/7, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = z - 37. Let r = 121 - z. Suppose -r*p - 600 = -7*p. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/10948 and 93\/445004.\nAnswer: 7565068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 122 and 1037?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -8780*r + 8779*r + 27, 24 = 2*p for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4959849 and -4?\nAnswer: -19839396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 3*m**2 + m - 2. Let q(n) = -n**3 - 5*n**2 + 2*n - 4. Let c(t) = -5*h(t) + 3*q(t). What are the prime factors of c(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18189000 to the nearest one million.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8077?\nAnswer: 41, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.6 and -46983.78575.\nAnswer: -46982.18575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -2. Let m be (22\/(-4))\/(r\/6). Let x(v) = -v**2 + 16*v + 2. Does 15 divide x(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.95015 and -380571?\nAnswer: 380571.95015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5400*-1816.\nAnswer: -9806400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**2\/11 + 6016*i\/11 - 6018\/11 = 0 for i.\nAnswer: -3009, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of m**9\/252 - 197*m**8\/336 - m**5\/60 + 149*m**3\/2 + 893*m**2. Find the third derivative of c(d) wrt d.\nAnswer: 240*d**3 - 11820*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 1 + 4*r**2 - r - 1 + 0. Let q(p) = -3*p**2 + p - 1. Give -3*q(l) - 2*v(l).\nAnswer: l**2 - l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 2*x. Let u be (x - 3\/(-9))*12. Let l(r) = -5*r - 40. Let q be l(-9). Solve u*d + d = -20, -4 = q*t + d for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*a - 8*a - 5*a**5 - 4*a + 0*a**5 wrt a.\nAnswer: -100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2388)\/46566)\/((-10)\/195)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -27*t + 10. Is 13 a factor of v(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/92 and 23\/148.\nAnswer: 3404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 334, 667, 1002, 1339, 1678, 2019?\n\"Answer: l**2 + 330*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2 + 8*m - 10. Let b = -60 - -85. Suppose -23*w = -b*w + 10. Does 40 divide n(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*4*(0 + (sqrt(1300) + (sqrt(1300)*5 + sqrt(1300))*6 + 0)*-6) + -2)**2.\nAnswer: -71040*sqrt(13) + 4100428804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 145 - -3?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 111 + -81. Sort 4, 3, 5, z in increasing order.\nAnswer: 3, 4, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 2*a + 9 = 20, 0 = -4*p - 2*a - 16 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (15 - (3 + 2 + 8)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g\/g**(-4\/3))*g)\/g*g\/g**(-21\/4) assuming g is positive.\nAnswer: g**(71\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -m**7\/28 + 3*m**5\/20 - m**3\/4 + 2*m + 5. Let r(v) be the first derivative of z(v). Factor r(l).\nAnswer: -3*l*(l - 1)**2*(l + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 5*h**2 + 5*h + 4. Suppose -5*f = -4*f - 6. Let t be z(f). Calculate the greatest common divisor of 10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003 a factor of 2570774661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/32*42\/15.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1153\/1905 + -2\/381. What is the third smallest value in 4, -0.3, 3\/7, x, -0.8?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 2:58 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 686702189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4488947 is divided by 2083?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 962, 2, -7\/4, 3\/2, -1, -3 in ascending order.\nAnswer: -3, -7\/4, -1, 3\/2, 2, 962","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, x: 3, r: 6, v: 2, k: 2}. What is prob of picking 1 r and 1 v?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 466*z = 38*z - 4163*z - 383606 + 48463 for z.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28 (base 12) to base 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64 + 1163. Let c = j + -1099.0000447. Round c to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 3*s + 6, 5*s - 117 + 131 = k for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5022 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3762 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: Suppose -2*v = -3*y + 695367, 231*v = -3*y + 228*v + 695382. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*v, -z = 3*v - 5 - 11. Put 2, z, -34 in descending order.\nAnswer: 2, z, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1309444 or -28807755\/22?\nAnswer: -1309444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 88859 + -52379. Let a = g - 36483.0223. Let k = a - -3. What is k rounded to three dps?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*h + 99043 + 1439677 = 314959. List the prime factors of h.\nAnswer: 23, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-40))\/(-3 - 8\/(-3)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33124 and 728.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 101 times -0.2\nAnswer: -20.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.53 - 4.62. Let x = c + -0.91. Let d = -17.11 + 17. Sort x, d, 4 in ascending order.\nAnswer: x, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1073 is divided by 355.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-70)\/15)\/(-1)*(-216)\/(-84). Calculate the greatest common divisor of t and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 3*h + h + 28, 4*h - 49 = 3*m. Which is the nearest to 0.1? (a) -0.02 (b) 1\/9 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 37610*b**2 - 4*b - 7. Is d(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -95 and -3.9.\nAnswer: 370.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4878*o - 7326*o - 245*o to the form n + p*o and give p.\nAnswer: -12449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11305*x + 2092 + 11305*x - 74*x**2 + 73*x**2 to the form t*x + u + l*x**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/20)\/(18\/10*(-2805)\/1496)?\nAnswer: -2\/135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*j + p, 2*j - 5*p - 9 = 1. Suppose -2*y + 0*y = j. Let r(u) = -u + 6. Let a be r(1). Solve -4*w + k = 10, a*k = -2*w - y + 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -j**4\/6 + 7*j**3\/6 - 5*j**2. Let c(y) = -2*y + 4. Calculate -11*c(g) + 6*m(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 4:17 AM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -23233, -36183, -49133?\n\"Answer: -12950*g - 10283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 7*f - 6. Let i be a(-6). Let h be (-12 - -11)*(-1 + -2). Solve i = -h*w + 2*w - 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 2\/5 (b) -1\/41 (c) -2\/9 (d) -2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oksosoqsscoqosqvs. Give prob of sequence vo.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7394809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*u**2*w**2*x - 2*u**2*w**2 + 8*u**2*x - 2*u**2 - 10*u*w**2 with respect to x.\nAnswer: 13*u**2*w**2 + 8*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, y: 2, s: 1, q: 4}. What is prob of picking 1 s and 1 c?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 97 + -68. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 6*m = 0. Suppose -4*j + m*g + 20 = 4*g, -g - 7 = -j. Suppose 4*z + 3*w = j*w + 31, -5*w = -5*z + 35. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 + 23 = 3*l + 3*g, 2*l - 4 = -4*g for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.2923 - -2499347\nAnswer: 2499346.7077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is (-92778)\/(-22184) + 15 + (-1155)\/60?\nAnswer: -4\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5 = -2*c. Let y be (4 - c) + 5\/1. Solve -l = 3*l - y for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -2 - 2) + 7. Suppose 3*r = z*r. Let l = 0 + r. Solve 5*a - a + 4 = l for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -16.9. Which is the third biggest value? (a) -3 (b) 2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -48*j**5\/5 - 9*j - 34. Differentiate g(v) wrt v.\nAnswer: -192*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5933.692nm to millimeters.\nAnswer: 0.005933692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7934581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0630015 - 6.3614615. Let a = n - -6.3. What is a rounded to 4 dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12743 - -18623. What are the prime factors of v?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, q: 2, d: 5, o: 3}. Give prob of picking 2 d and 1 o.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 305, 291, 251, 173, 45, -145?\n\"Answer: -2*t**3 - t**2 + 3*t + 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d + 3521 = 3508. Solve 0 = -z + 2*l + d, -1 = -z - 285*l + 284*l for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0.4 (b) -10 (c) -5 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -265851650 rounded to the nearest 1000000?\nAnswer: -266000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/((s\/(s\/s**(1\/21)))\/s))**42)**(3\/13))**17)**48 assuming s is positive.\nAnswer: s**(200736\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2323 (base 4) to base 5\nAnswer: 1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 225674 or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8591, -8590, -8589, -8588, -8587, -8586?\nAnswer: -8585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in centuries?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 814*l**2 - 814*l**2 + 33*l**4 - 15*l - 2 as v*l**2 + z*l**4 + c*l + r*l**3 + d and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74893 + -74770.593. Round t to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 2*m**2 - 3*m - 1. Let t = 440 - 442. Let l be b(t). Calculate the greatest common divisor of 20 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*u + 6416 = 5*p + 42*u, 5*p + 4*u = 6367. What are the prime factors of p?\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432.14536 rounded to the nearest ten?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 8*j = 5*j + 20, -4*j = -20 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -13. Let i(x) = -2*x - 5 + 0 + 6 - 3. Let a be i(w). Solve -2*g - a*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.4 (b) -2\/11 (c) 8 (d) 2834\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 71\/4 of a second?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 836 and 228?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2582265019?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 6 = -5*k. Let j be (-1 + (-16)\/(-27))*-6. Factor -8\/9*s**4 - 2*s**2 + 2\/9 - 2\/9*s - j*s**k.\nAnswer: -2*(s + 1)**3*(4*s - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 7*z**4\/2 - 1124*z**3\/3 + 1777*z**2 - 924*z - 8652. Factor x(v).\nAnswer: 2*(v - 77)*(v - 3)*(7*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 + -2 + (1126 - 1014) - (-1 - -9)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -539, -532, -527, -524, -523, -524?\n\"Answer: -b**2 + 10*b - 548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-43)\/36292*(-6)\/(-2). Is 0 at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(4\/5)*a*a)**(40\/9) assuming a is positive.\nAnswer: a**(112\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 732 is divided by 207.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 - 24*l - 10. Does 20 divide r(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 0.3, -64, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 - 4*u**2 + u**2)*(-4 - 1 + 0)*(103*u**3 + 350*u**3 - 229*u**3).\nAnswer: 1120*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j + 2. Suppose 2*m + 5 - 1 = 0. Let l(b) = 34 - 16 - 8 + 13*b - 11 - 12*b. Let y = -5 - -2. Calculate m*q(h) + y*l(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.3 and -1.48439.\nAnswer: 1.929707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44065, 87949, 131649, 175165?\nAnswer: 218497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 14, -2\/3, -3, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60266 is divided by 247.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 - -51.85. Let i = w + 0.15. Let t be 1\/(-5) + (-16)\/(-40). Put t, i, 0.4 in decreasing order.\nAnswer: i, 0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 210 and 30765.\nAnswer: 61530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2659*z + 68990 + 1930 = -3500*z - 933*z for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27848\/3 + 2\/3*b**2 + 472\/3*b.\nAnswer: 2*(b + 118)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 550.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppipipppiipipipsphp. What is prob of picking 4 p?\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 7 = p - 0*p, 2*u + p - 1 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 9*n + 4. Let w be u(10). Let h = w - 0. Calculate the remainder when 21 is divided by ((-3)\/h)\/(3\/66).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -178, 5, -2 in descending order.\nAnswer: 5, 4, -2, -178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11.361? (a) 1\/6 (b) -3 (c) 5 (d) -2\/21 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86, 48, -4, -76, -174, -304, -472, -684?\nAnswer: -946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54 - (-39 + 44)) + 24?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z. Let w(h) be the second derivative of -1\/6*h**4 + h + 1\/3*h**3 - 1\/2*h**2 + 43. What is 2*t(m) - w(m)?\nAnswer: 2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 385*n + 321*n + 317*n - 9 - 255*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*o**2 + 9 - 9 - 451*o**2 to the form x + a*o**2 + n*o and give a.\nAnswer: -462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m**2 - 346*m - 1498. Give n(-111).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 852, 849, 846, 843?\n\"Answer: -3*v + 855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - i - 4*i + 35 = 0, -4*i = -5*h + 1955 - 1988 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 9*l**2 - 9*l + 11. Give r(-8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 439*o = 435*o + 68, -2*o + 28 = -3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 5*b + 292. Let t = b - -92. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16472 - 7593607\/461. Let i = 24197\/6915 + a. Calculate the common denominator of 46\/3 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -6, -2\/9, 4, -4\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4 - 33*x**3 + 147*x**2 + 397*x + 216.\nAnswer: (x - 27)*(x - 8)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-6)\/((c**10\/c)\/c*c))\/(((c*c\/((c*c**(1\/7))\/c))\/c)\/c**8) assuming c is positive.\nAnswer: c**(-55\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -7)*1 - 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/55 and 88\/242445.\nAnswer: 2666895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 3:29 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 286, 567, 838, 1093, 1326, 1531, 1702?\nAnswer: 1833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 51?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r**2 - 49*r + 60. Let q(j) = j**2 + 24*j - 25. Let d(u) = 5*q(u) + 2*t(u). Let o(w) = 2*w**2 - 33*w + 7. Give -7*d(v) - 5*o(v).\nAnswer: -3*v**2 + 11*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (7\/77)\/((-6)\/(-234))\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a decade in years?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 28\/3 of a minute?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22731 or -250039\/11?\nAnswer: -250039\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*w + 8575 = 208*w + 329*w - 440*w for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 26 + 38 = 0. Suppose 0*p + 5*p = 440. Calculate the remainder when p\/n*(-40)\/2 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 345 = -629. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 22*o**2 + 2*o - 61. Determine z(22).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -64183234 from 0.03.\nAnswer: 64183234.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeeh when four letters picked without replacement from {h: 8, e: 5}.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 56*v**2 - 5*v + 4. Let c(s) = 54*s**2 - 4*s + 3. Let x(y) = -4*c(y) + 3*o(y). Let m(u) = u**2. Determine x(m(b)).\nAnswer: -48*b**4 + b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12540 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2628*t + 2583*t + 8837055. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2055017 a multiple of 513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -2*p - 8. Suppose 2*t + a - 1987 = -p*a, -3*t + 3033 = -3*a. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143018 divided by 198.\nAnswer: 71509\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 9:12 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3235*h + 6924 - 30774 = -850*h for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 78 + -110.5. Let w = -5.7 - -38.7. Let v = l + w. Which is the nearest to 0? (a) v (b) -2\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3564\/(-594))\/((9\/4)\/3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -11*y + 3. Let t be ((-1)\/3)\/((-6)\/(-36)). Is p(t) 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 2711472 and 384?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*f**3 - 3*f**3 - 5*f**3 + (7*f**2 + 3 - 7*f**2 - f**2)*(22*f + 939 - 939).\nAnswer: -36*f**3 + 66*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1923548121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -909\/340 - -48\/17. What is the second smallest value in s, -5, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65690 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of 0*f**2 + 5\/12*f**4 - 2\/21*f**7 + 0*f**5 + 0 + 0*f**6 - 4*f + 0*f**3. What is the third derivative of i(k) wrt k?\nAnswer: -240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) - sqrt(4)\/(2*sqrt(2) + sqrt(2)) - (sqrt(80)\/sqrt(4))\/sqrt(10).\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/20)*v\/(v*v**6))**(-7\/3)*(v**(-1))**(-2\/31)\/(v**(-1\/2))**(-3\/5) assuming v is positive.\nAnswer: v**(5077\/372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 9 = -4*a. Suppose m - a = -1. Suppose 2*u = -m*u - 12, -u = -2*t + 147. Calculate the highest common factor of 9 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -34, -2, -0.0049, 0?\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**4 + 6347*r**3 + 10131108*r**2 + 190080464*r - 200217920 = 0. Calculate r.\nAnswer: -3164, -20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -643901 by 20771.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.67037 millennia in months?\nAnswer: 164044.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2487*l - 4976*l + 4 + 2501*l)*(5*l + 0*l - 2*l).\nAnswer: 36*l**2 + 12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 756 = 10*h. Let r = h + 153. Suppose -g = 2*g - r. What is the greatest common factor of g and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f + 6. Suppose -15 = 2*q - 5*q. Let w(y) = -3*y + 9. Let g(r) = q*w(r) - 7*n(r). Find the first derivative of g(j) wrt j.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 10:20 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - f = -4, 4*f = 2*r - 46. Suppose t + 2*t = r. Solve 4*q + t = -7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s**5\/s)*s*s*s)\/(s*s\/s**(7\/4)))**(1\/12))**(-47) assuming s is positive.\nAnswer: s**(47\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**2 + 748*f - 1504 = 0.\nAnswer: -376, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v + 24. Let x(p) = -p + 12. Let k(u) = -3*i(u) + 5*x(u). Let s be k(19). Suppose -1769 = -s*y + 2942. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 5*g + 3. Let a be k(-5). Suppose 0 = -2*y + a*y + 16. Let j = -7 - y. Does 5 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/321210 and 1\/4482?\nAnswer: 963630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 34904596319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1523138*v**5 + 27*v**2 - 11*v + 6324 wrt v?\nAnswer: -91388280*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (700\/300)\/((-1)\/(-3)). Calculate the remainder when 43 is divided by 43\/n + (-12 - (-1328)\/112).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50 + -49. Let o be (n*-1)\/((-39)\/195). Solve 4 = -o*u - 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -7. Let j = -29 - -27. Is j greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + k**2 + 400. Let o be w(0). Round o to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4*g - 33737 = 0, 3*w - 15149 = -g + 5100. What are the prime factors of w?\nAnswer: 17, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -59 + 60. Solve 0 = u + h for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -35. What is the greatest common factor of 110 and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -508 greater than -226510\/447?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Expand -5*v + 19*v - 7*v + (-5 + 0 + 6 - 9*v)*(-1 + 2 + 2).\nAnswer: -20*v + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10022101 + -2?\nAnswer: -10022110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -458 = -38*i - 192 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -17 - 13. Suppose -5*k = -h*k + 2. Let j be (19\/57)\/(k\/162). What is the greatest common divisor of j and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22052254 to the nearest integer?\nAnswer: 4696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 290 - 81 - 220*t**3 + t**2 - 262*t**3 + 379 wrt t?\nAnswer: -1446*t**2 + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (34 - (-10 + 26))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27\/239 - 80873\/720107. Let g = -432420784102\/360749503 - -8426103\/7043. Let k = c - g. What is the common denominator of -46\/3 and k?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 c when two letters picked without replacement from {c: 5, z: 8, i: 2, l: 4}.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -d**2 - 106*d - 128 wrt d?\nAnswer: -2*d - 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((-79164)\/4644 - (0 - 17))?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 468*a = -2503743 + 385107. Which is smaller: -2\/3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*v - 4 = 68*v. Which is bigger: v or -23\/9?\nAnswer: -23\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*z - 4*z**3 - 5*z + 3*z**3 - 2*z as s + v*z + c*z**2 + o*z**3 and give v.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from {g: 10, j: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1006987764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -7*n**2 + 6 - 10*n + 3 - 5*n**3 + 6*n**3. Suppose -43*b + 45*b = 16. What is f(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 3) + -8 + 5 + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyttyttytyty. Give prob of picking 1 y and 3 t.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -223133*f. Let v(b) = b. Calculate l(v(y)).\nAnswer: -223133*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 5*o = -14, 5*n = -2*o - 0*o + 2. Suppose 4 = p, 0 = n*h + 4*p - 6*p. Let z be 3\/(-6) + 2\/h. Is -2\/9 < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 3) in base 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wpavvapvpvaalpplwaaa. Give prob of picking 1 l and 1 p.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, -19, -3, 26?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-360)\/(-4140) + 353552\/46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/146?\nAnswer: 3\/146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 223644 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11276149 is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**13)**32*t**(2\/3)\/(t\/t**(-3\/8)) assuming t is positive.\nAnswer: t**(-9233\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 - (-80)\/(-15))\/(1\/(-9)). Factor -3*c**4 - 2*c**3 + g*c**3 + 5*c**3 - c**3 + c**2 + 2 - 5*c.\nAnswer: -(c - 1)**2*(c + 1)*(3*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 5*a + 4, -2*c - 24 = 2*a - 8. Let s be (-4)\/(((-1)\/(-2))\/(2\/c)). Calculate the smallest common multiple of (-26)\/(-8) + -1 - s\/16 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6005.2 + 6005. What is the closest to 1\/2 in -505, 0.5, 1\/4, o?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -11*u**3 - 76*u**2 + 356*u + 21. What is i(-10)?\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/2 + 33\/(-6)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7198\/((9\/27)\/(2\/12)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 542024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wucmc. Give prob of sequence ucwm.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6704 (base 10) to base 2\nAnswer: 1101000110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffffffff. Give prob of sequence fff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73753967.\nAnswer: 7, 1505183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 10*l - 140 = 0. Suppose 0 = 4*r - 2*r - 52. Let d = l + r. Is -5\/2 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (3 + -18 - -17 - (5 + -2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -11 + 0 + -1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 9*g - 3. What is f(-4)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + b5ec?\nAnswer: b5eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -9\/3652270?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 + -63. Is p greater than -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b**2 - 2*b - 24. Let w be p(8). Suppose -208 = t - w. What is the highest common factor of 27 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 3*r**2 - 11*r - 5. Let y(m) = m**2 + m + 1. Give -c(a) - 3*y(a).\nAnswer: -a**3 + 8*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1320516 and 1188.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 77 (b) -4\/5 (c) 8 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/22*62 + 3. What is the biggest value in 2, -0.3, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7.09416 and -336.\nAnswer: -328.90584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/726 and -41\/1694.\nAnswer: 5082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 176201, 176186, 176171, 176156, 176141, 176126?\n\"Answer: -15*r + 176216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11\/18*24\/8*2043\/(-454)\nAnswer: -33\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - u - 444 = 0, 4*u = -h - 0*u + 135. Let d be 1\/2 - (-406)\/(-4). Let j = h + d. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -4*o**2 - 427528*o - 11423761924 = 0.\nAnswer: -53441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 359143048 to the power of 1\/2, to the nearest integer?\nAnswer: 18951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -383, -1505, -3369, -5981, -9347?\n\"Answer: -x**3 - 365*x**2 - 20*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36286a5 (base 11) in base 8?\nAnswer: 30073140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-8) + 2\/8. Suppose -3*s = 5*u + 16, 3*u - v - 1 = 4*s. Let p = 2 + u. Which is the second smallest value? (a) 5 (b) p (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 12:49 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1521479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/(-51) + (-13)\/3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -10*x**3 - x. Determine h(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-32)\/20)\/8?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 + -17. Let y(d) = -15*d**2 - d - 5*d + v*d**2 - 19*d**2 + 4. Determine y(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57247 to the power of 1\/2, to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*a - 4*a + 2*a)*(0*a - a**2 + 0*a) + (2*a**2 - 2 + 2)*(-5*a + 0*a + 3*a) + 2*a - 2*a + 2*a**3.\nAnswer: -11*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 114\/16*(-38)\/57 - 24\/(-32)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhfffffff. Give prob of picking 1 h and 1 f.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 1. Let p(r) = -r - 4. Let f be p(-2). Let t(q) = q**2 - 9*q - 10. Let z(j) = f*u(j) + t(j). Determine z(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309994 <= 309995?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -0.5, -0.1, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**3\/m**(-9)*(m**(-2)\/m)**(2\/35))**(-1\/3))**35 assuming m is positive.\nAnswer: m**(-138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/((v*v**(5\/2)*v)\/v))\/v**(1\/4) assuming v is positive.\nAnswer: v**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kmk when three letters picked without replacement from kmfkvvkkvkmmmvmmvvk?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of i**7\/210 - 7*i**3\/6 + 8*i**2. Find the first derivative of d(s) wrt s.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d = -19*d - 2424. Let r = -138 - d. Calculate the greatest common factor of 22 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -20, -7\/8?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3335 less than 215\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/5, 0, -353, 2\/13, -0.1, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 191965725 and 12600?\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*j**4 - 1211*j**3 - 4836*j**2 - 6416*j + 64 = 0. What is j?\nAnswer: -4, 1\/101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5235, -5239, -5253, -5283, -5335?\n\"Answer: -y**3 + y**2 - 5235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - f**2. Let i(s) = 3*s**3 + s**2. Suppose 29*o - 32*o + 141 = 0. Let l = 46 - o. Let z(v) = l*i(v) - 4*d(v). Find u, given that z(u) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -99, -2\/63, 0.3, -169.\nAnswer: -169, -99, -2\/63, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 301962, 301915, 301836, 301725?\nAnswer: 301582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + g - 149 = 0, 0*f + 3*f - 431 = g. Let b = f + -141. Solve 0*h + 2\/3*h**3 + 0 - 1\/3*h**2 - 1\/3*h**b = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 9) to base 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -43 - -2) + (-5 + 9 - -6 - 3)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5*r - 10. Determine m(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/140*20\/75?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1097 times -4630\nAnswer: -507.911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 23751694.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f - 1. Let t(p) = -6*p + 8. Let h(r) = -5*l(r) - t(r). Let x be h(6). Suppose -4*q - 12 = -x*a, 4*a = 4*q + 5 + 11. Solve -z = a + 1 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 less than -100227675.142?\nAnswer: -100227674.442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -286, -308, -330?\nAnswer: -352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -741*d + 750*d - 54. Let x be -5*8*(-2)\/5. Let o be 1\/(-4) + 42\/8. Solve -x + d = -o*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6\/11, 3, 43 in increasing order.\nAnswer: -3, -6\/11, 3, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 30\/20 + 55\/(-34). Let u = -3 - -7. Which is the second smallest value? (a) j (b) u (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -2\/7, -1, 3, 3\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -9. Let u(z) be the third derivative of 0*z**4 - 2*z**2 + 0*z**5 + 0 + 0*z**c + 0*z + 0*z**6 - 1\/1155*z**7 - 1\/1848*z**8. Factor u(p).\nAnswer: -2*p**4*(p + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21.05 - 0.95. Let q = h + 21.99999891. What is q rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -124 + 124.000122. What is g rounded to 5 decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + 8fb?\nAnswer: 901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 463 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 11, l: 3}. Give prob of picking 1 g and 2 l.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (108\/72)\/((-6)\/8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 160 + -66?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -312*l**3 + 93*l**3 + 99*l**3 + 92*l**3 + 62*l**3.\nAnswer: 34*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 7*w**2 - w - 5. Let k be m(-7). Suppose 2*s - 12 = -p + 3*p, -s + k*p = -3. Which is smaller: 10 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and 101398504.\nAnswer: 101398503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**2 - 18*c + 4*c**3 - 222*c**4 + 20*c + 1 + 223*c**4 in the form d*c**3 + t*c + v*c**2 + s*c**4 + z and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2. Let b(m) = m**2 - 2*m + 2. Let w(j) = -3*j**2 + 7*j - 7. Let g(n) = 7*b(n) + 2*w(n). Calculate 8*g(f) + 5*u(f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2611.\nAnswer: 7, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 3:46 PM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from fwajdwajfajadjjjaj.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2. Let g(h) = 19*h**2 - 1 - 2 - 40*h**2 + 22*h**2. Give j(g(p)).\nAnswer: p**4 - 6*p**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3602, 3, 13, 1 in increasing order.\nAnswer: 1, 3, 13, 3602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9547 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -578680 to the nearest one thousand.\nAnswer: -579000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 12:05 AM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -213 - -210. Let m = -3.4 - 2.6. Which is the nearest to m? (a) 1\/7 (b) y (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of q**4\/12 + 5*q**3\/6 - q**2 + 13*q + 2. Give c(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 83695944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(44) + -3) - 5*(sqrt(396) + sqrt(44)))*-1)**2 + -1.\nAnswer: -528*sqrt(11) + 21331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in six fifths of a hour?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/4, -3, 0, 3, -92?\nAnswer: -92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -m**4\/4 + 5*m**3\/3 + m**2\/2 + 2*m - 125. What is g(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5799 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 9*b + 2. Let n be h(9). Find the first derivative of -4*z**n - 2 + 2*z**2 + 7*z**2 + 0*z**2 wrt z.\nAnswer: 10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -135506, -135123, -134750, -134393, -134058?\nAnswer: -133751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -19*y**2 + 9511*y - 1. Let m(d) = 17*d**2. Give h(m(x)).\nAnswer: -5491*x**4 + 161687*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -16*q**2 + 7*q + 3. Let p(t) be the first derivative of 17*t**3\/3 - 4*t**2 - 4*t + 3134. What is -6*h(b) - 5*p(b)?\nAnswer: 11*b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -s**7\/70 - s**6\/40 + 37*s**5\/60 - 31*s**2. Find the third derivative of q(n) wrt n.\nAnswer: -72*n - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.800848429084 + 0.1?\nAnswer: 0.900848429084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1582 + 1582. Is q at least -1\/231?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000017926 rounded to six decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6a1 (base 13) in base 14?\nAnswer: 5bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 349.5 to the nearest 10.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*p + 8*p - 15. Solve -z + 5*t = -3*z + 5, -5*t + p = 4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -5*q - 17. Let g(z) be the second derivative of z**3\/3 + 3*z**2 + z. Let t = 207660 + -207668. What is t*g(j) - 3*w(j)?\nAnswer: -j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 + 42. What is the remainder when ((-5)\/(-3))\/((-2)\/(-66)) is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18010095446492 - 18010095446492 + 7*y.\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((72\/(-8))\/(-27))\/(2\/(-6)))\/((-64)\/(-2752)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 4*h**2 - h + 6. Let i = -5 + 0. Does 18 divide z(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-156))\/((-14)\/40 - (-21)\/35).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/8*0\/(-22).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 13*z + 14. Let u be k(-14). Solve u = -5*d - 12 - 13 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -10. What is the second derivative of -s*h + 12*h**2 + 4*h + 4*h wrt h?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -28*p + 41 + 9. What is the smallest common multiple of 1354 and p?\nAnswer: 1354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*18\/(-15)*95\/(-38).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 351\/(-1287) + 50\/22. Solve 4*l = -s - 0*l - 3, 6 = -h*s + 4*l for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-44)*(-4)\/(-3). What is the closest to z in 3, 0.1, 2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 308*j**2 - 2 + 2 - 102*j**2.\nAnswer: 206*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/236 and -6\/5.\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10\/7 of a week?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9705.27us?\nAnswer: 0.00970527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 9 = -5*u + w - w, -4*w + 13 = -w - 14 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/3*(((-43)\/(-86))\/((-1)\/(-2)))\/49\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 8*n + 1. Let z be r(8). Let c(w) = 21*w. Let b be c(z). Let t = -7 + b. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 913, 3643, 8191, 14557, 22741, 32743, 44563?\n\"Answer: 909*m**2 + 3*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-5)*25320\/(-7596))\/(-202)?\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.67 + 185.\nAnswer: 196.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 4 = w. Suppose -w*g + 5*u + 3 = -3*g, 0 = -2*g + 3*u + 6. Solve -2*l = l - a - 7, -g*a + 15 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from 0.0215783804019.\nAnswer: 0.0215783804019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -1. Let n be x*(-1)\/12*2. Suppose -10 = -0*f + 5*f. What is the biggest value in -0.4, f, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - r - 22 = 6*d, 0 = -5*d + 2*r - 21 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 0. Suppose 3*h + u*h = 21. Suppose 210*c = -60*c + 2970. Calculate the remainder when c is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 p when three letters picked without replacement from sjqpmjsmss.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 4*u - u)*(u - u - u**3 + (2*u - u + 0*u)*(-2*u**2 + 2*u**2 - 2*u**2) - 2*u**3 - 2*u**3 + 11*u**3).\nAnswer: -12*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 1. Let i(k) = -k - 1. Let n(f) = -2*i(f) - 2*v(f). Let q(o) be the second derivative of -o**3\/6 - 7*o. Determine n(q(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -25. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*g + 1 = -v + 98*g, 4*v - 120 = 27*g for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1072 - 366 = f + 4*a, f - 5*a - 706 = 0. Does 10 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*v + 3*p, 5*v - 5*p - 17 = 13. Let k = 235 + -244. Put v, -0.3, k in ascending order.\nAnswer: k, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, l: 4}. Give prob of picking 3 l.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 225 and 650.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1545529 or -1545545?\nAnswer: -1545529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 248400.\nAnswer: 1\/82800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/40 of a tonne?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 122.69 - 122. Let n = y - -1.31. Suppose 4*o = 2*f - 24, 3*o + 4 = o - 3*f. Which is the smallest value? (a) -4 (b) o (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3315, -13586, -31219, -56616, -90179, -132310, -183411, -243884?\nAnswer: -314131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 = 9*t + 29 + 79 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -105 - -220. Let k = -97 + b. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 431930928\/4865 - 443916\/5. Let k = 1\/139 + y. Is k >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 11:46 AM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89832 divided by 456.\nAnswer: -197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-33894 - 30855 - 21882 + 17842 - 1799)*(-i - 2 + 2) as s + q*i and give q.\nAnswer: 70588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 9 + 6*f - 6*f + f. Let z be s(-7). Sort 5, -3, z.\nAnswer: -3, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 252\/(-52) - (-10)\/(-65). Put -88, o, 1 in decreasing order.\nAnswer: 1, o, -88","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (23 - 8) + (-371 - -234)\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 228167 (base 9) to base 10\nAnswer: 137194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -260 - -460. Is m a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 + -0.4. Let i = 109.7 - 108.7. What is the closest to i in 0.1, l, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -4 - 10*z**3 - 3*z**2 + 5*z**3 + 1. Let p(r) = r**3 + r**2. Determine b(v) + 3*p(v).\nAnswer: -2*v**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x - 4. Let q be f(-6). Factor 3*t - 2*t - t**2 + 4*t**2 - q*t**2.\nAnswer: t*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12258*t + 24344*t - 12086*t + 4*t**2.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/8 and (-16)\/12 - (-146)\/(-96).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 4, 2, -36?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3 - 5 = 0. Let y(z) = -60*z - 2. Let s be y(d). Let j = -59 - s. What is the greatest common factor of j and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -6*p**3 - 13*p**2 + 28*p - 7. Let s(v) = -v**3 + v**2 + 2*v - 1. Let q(z) = 6*s(z) - 3*w(z). Factor q(r).\nAnswer: 3*(r - 1)*(r + 5)*(4*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - (-1 + 2)\/(-1))\/(-2). Suppose 14*g - 12*g = 3*k + 813, -3*k = 9. Suppose 0 = 2*m - s*m - 4*r - g, -3*r = -3*m + 600. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 21 = -161. Suppose 4*d = f - 27. What is the hundreds digit of d\/(-7) + (-4140)\/(-35)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3509297 or 3509298?\nAnswer: 3509297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 157674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16 - 44?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - -22.054. Let d = q + 0.046. Let x = d + 0. Which is the nearest to x? (a) 1\/3 (b) -0.4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1777619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/10)\/((-11)\/(-550)). Suppose -28 = 18*n - f*n. Calculate the remainder when n is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11\/3 - -58\/15. Let p = -33.9 + 5.9. Let g = 23 + p. What is the nearest to -1 in u, g, 3\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-102 + 104 + 917*z - 144*z)*((5*z**4 - 2*z**4 - z**4)*(4 - 2 - 3) - 4*z**4 + 2*z**4 + z**4).\nAnswer: -2319*z**5 - 6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a microgram in nanograms?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o - o + 11*o**2 - o. Let m(j) = -8*j**2 - 25*j**2 + 37*j - 29*j + 10*j**2. Let t(q) = 9*k(q) + 4*m(q). Find the second derivative of t(p) wrt p.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, z: 8, s: 5, h: 1, n: 3}. What is prob of picking 1 h and 1 z?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -14*v + 338. Suppose g = 3*m - 76, 19*m - 4*g - 40 = 18*m. Let y be x(m). Which is the nearest to y? (a) -0.2 (b) 2 (c) 7\/4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (2 - -1) + 134. Suppose -2*d - z = -5*d. List the prime factors of d.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/g**(9\/7))*g)**(-5\/16)*g\/(g*g\/((g\/(g*g**(-19)))\/g))*(g\/(g*(g**(1\/12)*g*g)\/g))\/g)**(3\/7) assuming g is positive.\nAnswer: g**(1193\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000163 to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of -5\/12*m**4 + 1\/12*m**6 + 0*m**3 + 6*m**2 + 0 + 0*m**5 + 0*m. Find the second derivative of n(w) wrt w.\nAnswer: 60*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0487583 to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -204995.708 to the nearest ten thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 7*m**3 + 6*m - 5. Let r(l) be the first derivative of 7*l**4\/4 + 5*l**2\/2 - 4*l + 102. Determine 5*r(u) - 4*z(u).\nAnswer: 7*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) + -3)*1 - sqrt(1377))**2 + ((0 + sqrt(833))*4)**2 + sqrt(833).\nAnswer: 7*sqrt(17) + 13337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2319856.47 nanoseconds?\nAnswer: 0.000000026850190625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -10.9, 2, -1.8?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 3) to base 5\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 0.096 (b) 4 (c) 0.1 (d) -0.5 (e) -1\/165\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*t**4 - 4*t**3*v - 3*t*v - 12*v - 42 with respect to t.\nAnswer: 12*t**3 - 12*t**2*v - 3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 - 12) + (-65 - -28).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-6) + 58\/12. Let s(l) = l**2 + 9*l + 2. Let x be s(-7). Let o = 15 + x. Which is smaller: m or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(440)*2)\/sqrt(8) - (sqrt(880) - sqrt(55))*3)\/(5*sqrt(22)\/sqrt(2) - (sqrt(44) - (sqrt(44) - sqrt(264)\/sqrt(6)))).\nAnswer: -7*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 11207 (b) -0.12 (c) -4 (d) 3 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 181390428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*q**5\/3 - 275*q**4\/6 + 71*q**3\/2 + 66*q**2 + 18*q = 0. Calculate q.\nAnswer: -6, -3\/5, -2\/5, 0, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1594 + 1633.13. What is l rounded to zero decimal places?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.0462 - 0.0462. Let o be (-14)\/8 + -1 - -2. Let i = 0.1 + -0.3. Which is the second smallest value? (a) u (b) o (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2118\/17 or -124?\nAnswer: -2118\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 22830 + -5\nAnswer: 22825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -101 + 126. Suppose -u*a - 28 = -29*a. What is the remainder when 0 + 42 - (-2)\/(-2) is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 5*v**3 + 56*v**2 - 110*v - 746. Give a(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 324 - 268. Let z = 61 - j. Suppose -4*c + 13 = 5*v, -4*c - 7 = v - 0*c. What is the greatest common divisor of z and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*u - 57*u + 575. Let l = 50 - 72. Let m = l + u. Solve -15 = -8*k + m*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1224940 or -1?\nAnswer: 1224940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -791.1008 rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 68, -4, -3, 3, 382 in descending order.\nAnswer: 382, 68, 3, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 507623538?\nAnswer: 2, 3, 2591, 32653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -1. Suppose f = v - 5 - 5. Let j = -4 + v. What is the smallest common multiple of j and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 99980159*l**5 + 2*l**4 + 74686004*l**2 wrt l?\nAnswer: 5998809540*l**2 + 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42492622, -42492624, -42492626?\nAnswer: -42492628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddr when three letters picked without replacement from {r: 5, d: 8}?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75361*h**2 + 39231*h**2 + 36132*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -675*m = -635*m - 200. What is the nearest to 1 in -19, m, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r - 92. Let g(o) be the first derivative of o**2\/2 - 61*o + 326. Determine -8*g(y) + 5*w(y).\nAnswer: 2*y + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p + 1. Let q(w) = 2. Let b(u) = 2*f(u) - q(u). Let r(o) = 4*o. Determine b(r(s)).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -239 - -160. Let h = n - -53. Let d = h + 53. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23294096 and 476.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (27\/6)\/(9\/(-12)). Calculate the lowest common multiple of 4 + -2 - 0 - g and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 5*j - 10 = 0, -41*i + 38*i - 4*j = j + 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.568 and 140.\nAnswer: 919.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6.043296 nanograms?\nAnswer: 0.000006043296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -288743, -289270, -289797, -290324, -290851, -291378?\nAnswer: -291905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - w - 69 = 2209, -5*z = -3*w - 3794. Calculate the highest common divisor of z and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 y when two letters picked without replacement from {y: 1, v: 2, q: 1, x: 2, z: 1, u: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302148.\nAnswer: 2, 3, 7, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -5*b - 12. Let z = 6341\/63 - 902\/9. What is the second smallest value in 4, b, -5, z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 4*m + 20, 2*m - 11 = 5*z - 23 + 14 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67665*k + f - 95 = 67670*k, -6*k + 2*f = 110 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, q: 4, t: 1, n: 1, i: 2}. Give prob of picking 1 q, 2 i, and 1 p.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.032 and 5.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8521884 - 123*g**2 - 17043737 + 8521853.\nAnswer: -123*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w - 34*w = -126. Calculate the highest common divisor of w and 282.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + l - 1. Let h(i) = -6*i**2 + 6*i - 6. Let d = -63 - -79. Suppose 0 = -d*f + 17*f + 1. Determine f*h(o) + 8*n(o).\nAnswer: -2*o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1737\/2 - -843. Let s = r + 201\/8. What is the nearest to 4 in s, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21351\/3619 - 1\/((-94)\/(-4))) + -8.\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6438 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 838 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*t = -132. Suppose -x + 4*x = 2*k - t, -3*x = 6. Suppose k = 3*q - 4*y, 3*q - q - 4*y = 42. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y\/(y*y*((y\/y**(2\/7))\/y)\/y*y)))\/(y*y\/(y*y\/(y**(2\/13)*y)*y*y))*(y*y**9*y)\/(y\/(y\/y**(1\/7))))**(-2\/29) assuming y is positive.\nAnswer: y**(-2624\/2639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 5117 = 5*i - 5139, q - 2*i + 4 = 0 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*f - 31, -2*t + 30 = 6*f - f. Suppose 12 = -4*i - f. Let c = -7 + 3. Put c, i, 0 in descending order.\nAnswer: 0, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 8*c - 69. Let w = -328 + 337. Let b be r(w). Solve z + 0 + 10 = -5*s, -3*s = -b*z + 6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 p when two letters picked without replacement from jkupuuokjukyjjk.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 67898652 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 105*b**2 - 595*b + 75. What is t(-99)?\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 184*t**2 + 2*t**6 - 376*t**2 - 42 - 14*t**3 + 169*t**2 + 32*t**4 + 12*t**4 wrt t.\nAnswer: 240*t**3 + 1056*t - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000030516424 to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-339*l + 339*l - 57*l**2)*(3*l - 4*l**2 - 3*l - 5*l**2)*(0 + 0 - 1)*(-2 - 1 + 1) to c*l**3 + n + y*l**4 + v*l**2 + w*l and give y.\nAnswer: 1026","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2745033 and 9255.\nAnswer: 1851","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -0*r - 5*r + 3, 0 = -5*r + 2*j - 2. Suppose -2*p - 4*d + 112 = r, -3*p + 120 = 5*d - 44. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 112 - 75. Differentiate -24*f - 13*f - q*f - 8 + 7*f with respect to f.\nAnswer: -67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from rerrrerrrerrrere.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 4*t**5 + 776*t**4 + 25412*t**3 - 1282160*t**2 - 1306800*t = 0?\nAnswer: -110, -1, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-324)\/(-16))\/(-9))\/((-10)\/(-40)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -12*j**2. Suppose -30 = -4*o + 2*c, -o - 5 = -6*c + 8*c. Suppose 10*a + o = -5. Give q(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 6*n**2 - 18*n + 19. Calculate the remainder when 16 is divided by p(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a08 + -21?\nAnswer: -2a29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 + -24. Let n be ((-36)\/8)\/(2\/v). Let y = n - -19. Calculate the smallest common multiple of y and 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-9)*-3)\/(-20 + 21). Let f(i) = -3*i**2 + 2*i**2 + 4*i - j - 2. Let s be (-5)\/(-2) - (-1)\/(-2). Give f(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -0*o - o + 27, -3*p + 4*o = -7. Let k(b) = 3*b**2 - 66*b + 8. Calculate the remainder when k(22) is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(-179)\/5*15\/(-6). Let j = x + 111. Let v = j + 88. What is the lowest common multiple of 4 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -107 - -93. Which is the nearest to t? (a) 0.1 (b) -4 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of t**3\/27 - 151*t**2\/18 - 152*t\/9 + 1546. Let h(s) = 0. Calculate s.\nAnswer: -1, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15072\/2881 < 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 + 680*p**2 - 1367*p - 2046.\nAnswer: (p - 3)*(p + 1)*(p + 682)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(252) - (sqrt(252) - sqrt(252)*-2)))\/(sqrt(576)*-2 - sqrt(576)).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 + -14. Suppose 2*x + w = -3*b, b = -4*x + 2 + 13. Suppose 0 = 2*u - x*f - 0*f - 41, 76 = 2*u + 2*f. List the prime factors of u.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 f when two letters picked without replacement from {c: 1, f: 5, b: 2, m: 6, x: 1, s: 2}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-15)\/(-10))\/((-1)\/4). Let g be ((-4)\/(-12))\/((-1)\/u). Suppose t + 6 = -4*v + 29, 5*t + g*v = 97. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l + 0*l - 2*l - 6*l - 2*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/800 and 111\/320?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*n - 657 = -68*n + 23*n + 12853 for n.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*q + 2*s - 8, 3*q - 1 = -2*s. Suppose 2*u - 18 = -5*t, -3*t = 5*u - 33 + 7. What is the nearest to t in -1\/5, -0.3, q?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-2 - -1) - (102 - 108).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - j + 2078 + 22829, j - 31134 = -5*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1 + -1 - 2)*-43 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3*t)*(-33 - 34 + 24).\nAnswer: 129*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 14 - (-3 + -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - (sqrt(17) + 0))*1 - (sqrt(187)*-1)\/sqrt(11)) + -1 + (sqrt(34) + 3*sqrt(136))\/(-3*sqrt(18)).\nAnswer: -1 + 2*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3228184, -12912743, -29053674, -51650977?\nAnswer: -80704652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1428200 to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -38857090.9 rounded to the nearest one hundred thousand?\nAnswer: -38900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -72 - (2803 + -2672)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of 0 - 5\/6*t**3 + 1\/12*t**4 + 1\/2*t**2 + 3*t. What is the tens digit of n(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342\/2223 + 306\/39?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 5*l + 19, 3*a + 4*l + 638 - 657 = 0 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 19\/90 - 28\/252. Let o(k) be the second derivative of 0 + 11*k - s*k**6 - k**3 + 0*k**4 + 0*k**5 + 0*k**2. Find the second derivative of o(z) wrt z.\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 478471289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 355.1*-16\nAnswer: -5681.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/13)*g**13\/g)**(-13\/4) assuming g is positive.\nAnswer: g**(-79\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 11:22 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j - 77*j**2 + 160*j**2 - 8 - 82*j**2 + 5389*j**3.\nAnswer: 5389*j**3 + j**2 - 2*j - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -72*b - 91*b + 19*b + (2*b - 2*b - 2*b)*(-5 + 2 + 4).\nAnswer: -146*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 54940 times -3199?\nAnswer: -175753060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-1)*((-12)\/615)\/(14\/35)\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*a**2 + 0*a**2 - 3*a**2)*(1 + 2*a + 3*a - 4*a).\nAnswer: 5*a**3 + 5*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(126)\/sqrt(7))**2 + -3 + (sqrt(6)\/sqrt(3) + sqrt(2) + 1)**2 + (sqrt(2) + -1)*5 + -3.\nAnswer: 9*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 5*j**2 - 4*j + 3. Let b be u(4). Let y = -24 + 25. Let m be (14\/4)\/y + (-3)\/2. Solve m*k + 3 = -b*l + 5*k, -5*l - 4 = -4*k for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**3 + 10*t**2 + 3*t - 13. Calculate p(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + sqrt(891) - (-1 + sqrt(1100) - sqrt(1100))**2) - (5 + sqrt(11) + 1*sqrt(11))*-4*-3.\nAnswer: -65 + 21*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*m + 88 = 5*k, 5*k - 74 = -3*m. Suppose g = -5*w + 32, -3*w - w + k = -4*g. What is the remainder when 17 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1052974496 to the power of 1\/3, to the nearest integer?\nAnswer: 1017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (((sqrt(117) + sqrt(117) + 1 + sqrt(117))*3 - -4*(sqrt(117) + -1)) + 1)**2)*-3.\nAnswer: -59319","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/2 + (-94)\/12. Which is smaller: j or -8?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114819795 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 0 + 21 = 0. Suppose -q*b = -a - b + 39, 2*b - 243 = -5*a. What are the prime factors of a?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4944.6 - -4004. Round k to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 2*s**3 - 8*s**2 + 4*s - 6 + 0*s**3. Let h be 48 - (-1 - (-40 - 2)). Give o(h).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.021 + -1.121. Suppose -2*r + r + 10 = -n, 5 = 2*n + 3*r. Let g = 237\/2 + -121. Sort g, n, s.\nAnswer: n, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4543044 (base 6) to base 13.\nAnswer: -81403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + (-24 - (62 + -50)) - (-1 - 34)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (-27 + 2) - 1. Suppose -4*w = -3*f + 6, -4*w + 2*w + 18 = 2*f. Calculate the greatest common divisor of b and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -2*k**3\/3 + 22. Let d(i) = -21*i. Let o(y) = y. Let h(z) = -d(z) - 18*o(z). Calculate n(h(m)).\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 3*q - 3. Let f be a(4). Let c = 3 + f. Is (-891)\/(-15) - c\/10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-6)*1)\/((-160)\/(-16320))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 6*m**2 - m - 1. Let t be f(-1). Let x(i) = -11*i + 17. Let s(z) = -24*z + 35. Let q(a) = -6*s(a) + 13*x(a). What are the prime factors of q(t)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)*2*-2)\/(5*sqrt(30)\/sqrt(5)))**2 + 4*(sqrt(475) + (sqrt(475) + 0 - sqrt(475)) + sqrt(475) + 1 + sqrt(475))**2.\nAnswer: 120*sqrt(19) + 427904\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 68*w**2 + 533*w + 41591. Calculate h(-69).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7664317, -15328633, -22992949, -30657265, -38321581, -45985897?\nAnswer: -53650213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1487 - 1491. Suppose 2*b - b = -5*g + 4, -4*b = -2*g + 6. Suppose 6 = -3*f - 3. Sort b, f, s in increasing order.\nAnswer: s, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 45170786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -754.51 + 754.7. Put 0.3, b, -37, -3 in ascending order.\nAnswer: -37, -3, b, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*g - 22*g + 148 = 0. What is the smallest common multiple of 8 and g?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 9*p**2. Let u(m) = 97*m + 179*m + 173*m. Determine u(c(q)).\nAnswer: 4041*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**4\/8 + 21*j**3\/8 + 9*j**2\/2 - 21*j\/2 - 12 = 0. Calculate j.\nAnswer: -2, -1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + (-528)\/(-72))*-39?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**5 - 29034*a**4 + 58074*a**3 - 29038*a**2 = 0?\nAnswer: -14519, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -49, -438, -1087, -1996, -3165, -4594, -6283?\n\"Answer: -130*r**2 + r + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4636.809 rounded to the nearest one hundred?\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.5, -0.39, -57386 in descending order.\nAnswer: 0.5, -0.39, -3, -57386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002447838849 rounded to six dps?\nAnswer: 0.000245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*v - 20 = -5*w, 4 = -4*v + w. Suppose v*u - 160 = -16*u. What is the highest common factor of u and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/(sqrt(54)\/sqrt(6)))\/sqrt(8).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 588544 and 34048?\nAnswer: 4119808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 - -164. Let p = 211 - n. Which is the closest to -1\/8? (a) -0.2 (b) 0.2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23878 and 883486.\nAnswer: 883486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5287*s**2 - 98*s*u + 10928383*u wrt s?\nAnswer: -10574*s - 98*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**17)**36\/(j**(-25)\/(j\/(j**(-6)\/j))) assuming j is positive.\nAnswer: j**645","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -507907*i**5 - 7*i**2 + 29*i + 41765 wrt i?\nAnswer: -10158140*i**3 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 4\/5, 4, 1, -21734, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/96 and -53\/40014.\nAnswer: 640224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of (-2)\/(-1 + 0) + (207 - -16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1021*w**2 - 2702*w**2 + 14122 - 14122 in the form z*w + n + v*w**2 and give v.\nAnswer: -3723","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v + 13. What is the remainder when t(15) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2020141 - -44?\nAnswer: -2020042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -10286765?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4*i**2 + 106*i + 639. Give f(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**2\/4 + 271308*a - 118147716 = 0 for a.\nAnswer: 436, 361308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1754 divided by -132210.\nAnswer: 877\/66105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = z - 7*w + 1875, -5*w = -3*z - 5615. Let h = z - -2813. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5*(sqrt(1584)*1 + sqrt(1584) + 2) - ((sqrt(1584) + -1 + sqrt(1584))*6 + -2)) + -5.\nAnswer: -264*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5\/18393 - -55139\/147144. Solve 3\/8*q - 3\/8 - p*q**3 + 3\/8*q**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 2*t - 19 + 59, 3*r = 4*t + 40. Let k(d) = d**3 - 7*d**2 - 8*d + 10. Give k(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4553 - 3?\nAnswer: -4556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(-4001*w + 5942*w + 2988*w)*(0 - 3*w + 0).\nAnswer: 29574*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 45 = -3*w, -w + 3*t = 3*w + 35. Let y = w - -5. Let k = y - -11. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -560 - 544 + 35*x**2 + 38*x**2 + 1104 - 76*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - -12. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (144\/(-21))\/4 + 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13768, -27650, -41758, -56206, -71108, -86578, -102730?\nAnswer: -119678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) -5 (c) 2\/5 (d) -406\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/c**14)*c**(-47) assuming c is positive.\nAnswer: c**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7025730 rounded to the nearest ten thousand?\nAnswer: -7030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x + 12*x + 91 = 0. Let u = -10676 - -10937. What is the remainder when u is divided by x?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2310 and 2663.\nAnswer: -6151530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5946, 5, -43, 1, -37 in decreasing order.\nAnswer: 5, 1, -37, -43, -5946","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51\/10710*-20)\/((-4)\/14).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 7 + -3 - 4) + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1157*d**2 - 1157*d**2 + d**3 + 2*d**3.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.28 - -0.18. Let l = 3.1 - 3. Let g = u - l. Sort g, -1, 3 in increasing order.\nAnswer: -1, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168*w**2 - 26*w - 164*w**2 - 159*w**2 + 495*w**2.\nAnswer: 4*w**2 - 26*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60*w + 533*w + 212*w + 1011*w to q + c*w and give c.\nAnswer: 1696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/212760 and -5\/216?\nAnswer: 212760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -n - 21. Let j be 256\/10 + -7 - (-6)\/15. Let d = n + j. Let g(a) = -a**2 + 5*a - 2. What is g(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91927020 divided by 19\nAnswer: 91927020\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61.83 - 52. Let v = -9.9 + f. What is the third smallest value in v, 3\/7, -2\/9?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4 = 0, 12*c = -262*p + 263*p - 67. Calculate the remainder when 4093 is divided by p.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 8*m = -3*b - 81, 0 = -5*m - 3*b + 69. Does 15 divide m*1\/2*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3)*(-6 + 6 - 12*s + (s - 2*s + 4*s)*(3 + 1 - 1)).\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -x**4\/24 - x**3\/6 - 286*x**2 - 8*x. Let d(j) = -14*j - 5. What is d(n) - 3*w(n)?\nAnswer: -11*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 41\/9 - (11 - 6). Let x be (-4)\/10 - (-1)\/(-35). What is the second smallest value in x, b, -0.3, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m**29\/m)*m)\/m)**(12\/7)\/(m**(-28)*m**38))**28 assuming m is positive.\nAnswer: m**(-1576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*k + 16*k + 3*k**2 + 4*k.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -19*o - 4. Let z(a) = -1. Let r(c) = -3*c**3 - 5*c**2 + 7*c + 11. Let u be r(-2). Give u*g(q) - 3*z(q).\nAnswer: -19*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r - 19. Let b be d(-11). Let o = b - -65. Let i be o\/10 - (-24)\/(-60). Solve 3*m - 13 = -i*m + 4*u, -2*m = u for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5217.\nAnswer: 3, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {y: 3, t: 1, p: 1, b: 2, i: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/(-6) + 3*(-92)\/(-6)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33850728 divided by -1410447?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 363837?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3433 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p + 4. Give z(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7739 is divided by 129?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 20 = -h, -450 = -5*b + 5*h. Suppose -4*r - 5*q = -106, 2*r + r - 2*q - 68 = 0. Calculate the remainder when b is divided by r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22296 divided by -5.\nAnswer: 22296\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggt when three letters picked without replacement from {t: 4, g: 2, y: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3)\/(36\/27)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -9 - 69*y + 150*y - 73*y + y**2. Let q be v(1). Sort 1, q, 5, -9.\nAnswer: -9, q, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 22*v**2 - 22*v + 23. Let w be z(-23). Let u(l) = -l**3 - l**2 - l - 5183. Let g be u(w). Let n = 9172 + g. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.094528214 - 3\nAnswer: -2.905471786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 54*l + 3. Let b(f) = -3*f - 1. What is -2*b(t) - o(t)?\nAnswer: -48*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 11*t - 4. Determine p(3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - -9. Suppose -30 = -3*x + g, 6*x - 3*x - m = 2*g. Calculate the lowest common multiple of x and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -86, -189, -332, -515, -738, -1001?\nAnswer: -1304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 96972876 divided by 924?\nAnswer: 104949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 9. Let p(q) = q**2 + q - 10. Let d(y) = -3*p(y) + 4*v(y). Let m be d(6). Calculate the highest common divisor of m and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 7*a - 4 = -3*a, -4*a = 4*k - 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + q + 19, -5*k + 17 = 4*q - 3*q. Let f(z) = -3*z**2 - 29*z - 54. Let t be f(-6). Suppose t*y - 220 = -k. Is y a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-201)\/(-18) - (-18)\/(-12). Let z = k - 10. Sort -2\/7, -0.4, z in descending order.\nAnswer: -2\/7, z, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -23?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 + 1614*k + 1611.\nAnswer: 3*(k + 1)*(k + 537)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 28*o + 8 = -32*o, 0 = 5*o - 15. Suppose -3*f + 10 = -20. Calculate the highest common factor of f and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -5011?\nAnswer: -5006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x**3 - 95*x**2 + 527*x - 154. Determine k(8).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - 4*x + 2*x - 30, -10 = -5*d - 2*x for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10765222, -10765228, -10765240, -10765258, -10765282, -10765312?\nAnswer: -10765348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3 = l - 4, -4*l - 5*q + 4 = 0. Let d be (-18)\/(-14) + l - 2. Which is greater: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 609 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 18 + 7. Suppose -10*z = -5*z - r. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1807 is divided by 136?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 + -12 + (23 - 82).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 136 + 326. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + t + 541 = -6*t + 5*k + 496, -t - k - 1 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -1\/20*d**5 + 0*d**4 + 11*d**2 + 0*d**6 + 0*d**3 + 0*d - 4\/105*d**7 + 0. What is the third derivative of v(z) wrt z?\nAnswer: -192*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2b3dd3 - 10?\nAnswer: -2b4003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -132*z + 44 - z**3 + 273*z - 137*z to the form o*z + y + b*z**2 + w*z**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 4*p = -2*y - 145, -3*y = -5*p - 136. List the prime factors of y.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 482852 and -5175272.93?\nAnswer: 5658124.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6270717?\nAnswer: 3, 2090239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from axaaxaaaayyaayaaa. Give prob of picking 1 a and 1 y.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 + 136 + 5*1 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = o - 4, 14 + 10 = -o - 4*z. Let n be o\/3 + 14\/21. Sort -5, n, 4, 2.\nAnswer: -5, n, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 532 + -523.08. Let t = o + -9. Which is smaller: t or 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-7)*(-518)\/(-4144)*(-14)\/(-20)?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 810605914*v**3 - 270201966*v**3 - 270201963*v**3 - 270201969*v**3.\nAnswer: 16*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 24096 divided by -14?\nAnswer: -12048\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 41, 1\/5, 0, 4?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88 - 1 - (50 + -65 + 40 - 40).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from dauuuudduaauya.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1860, -1218, -576?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - 3\/((-3)\/(-19)). Let f be -1 + 0 + 2994\/k. Let l = f + 143. Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/1 - -3)*12. Let p = 190 - g. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -9*j**2 + 240*j - 151. Let l be s(26). Suppose -i - 3*i + 8 = 0. Solve -p = -i + 6, -l*p = -4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -18*d + 371. Calculate g(21).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n - 2*n + n - 6*n to the form u*n + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 705 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/29984 and -57\/224?\nAnswer: 209888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/23, -2, -5\/3, 0, 5, -5.5 in decreasing order.\nAnswer: 5, 0, -2\/23, -5\/3, -2, -5.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 12*f**2 + 10*f + 1. Let i be o(-11). Let z = -376 + 418. Suppose -130*v + z = -116*v. Solve v*k - 1 = n - i, 3*k = 3*n - 21 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - 1380\/(-150))\/(2\/((-12)\/9)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-185700)\/1448460)\/((-5)\/(-126))?\nAnswer: -42\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 - 0)\/(7\/(-63)). List the prime factors of ((-8)\/6)\/(4\/u).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -28\/3 (b) 4 (c) 2 (d) -1\/6 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38.2655 + 0.1255. Let r = w + 0.14. Let q = r - -34. Which is the smallest value? (a) 1 (b) 3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t - 1577 - 1984 - 10234 - 10*t + 7*t.\nAnswer: -3*t - 13795","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 167 - 31. Let n = 132 - p. What is the closest to -1 in n, -1\/4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of p**7\/6 + 3*p**3 - 5*p - 31. Let h(x) be the first derivative of r(x). Find the second derivative of h(i) wrt i.\nAnswer: 140*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -4. Suppose 4*t = -5*i + 45, -4*i - 5*t + 27 = -j. Let b = i - 9. Solve -c + 3 = 5*r, -17 = -5*r + b*c - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, l: 5, h: 6, a: 4}. Give prob of picking 1 a and 1 l.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 2*b - 24, -2*v + 309*b + 30 = 310*b. Solve v*n - 17 = -29 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f - 14*f + 13*f.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000078286131 rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 5.1. Let x = -53.9 + 51. Let t = x - a. What is the closest to 1 in t, 2\/5, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 632642.\nAnswer: 2, 316321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12094659 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -207*d**2 + d**3 + 30*d**4 + 3*d - 3*d + 105*d**2 wrt d?\nAnswer: 720*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uoof when four letters picked without replacement from {t: 4, f: 2, e: 1, u: 4, b: 4, o: 5}.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 90085371*-3\nAnswer: -270256113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -5\/2. Let t = -1.5 + 1.6. Which is the closest to t? (a) -3 (b) -3\/2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -2, -0.41, -0.1, -0.07?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 33\/(-12) + 3. Sort -1\/2, 0, 3, t in ascending order.\nAnswer: -1\/2, 0, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 1 = -3*b + 2*l, 0 = 4*b + 3*l + 10. Let m = b - -3. Let j be 0*(m - (-3)\/(-2)). Solve j*r + 6 = 3*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-273)\/91*(-3)\/(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o - 900 = -24*o - 27*o for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4 + 43*v**3 - 342*v**2 - 1440*v.\nAnswer: -v*(v - 30)*(v - 16)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**2 - 65796*f - 360759468 = 0. What is f?\nAnswer: -10966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 4. Let x be ((-48)\/q)\/((-12)\/42). Solve 2*i + i = -x for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -423 - -1247.311?\nAnswer: 824.311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21032, 42070, 63108?\nAnswer: 84146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - -2)*(-14)\/4. Let x(l) = -l**3 - 7*l**2 + l + 4. Determine x(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242187 is divided by 199?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddddddd. Give prob of sequence dddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -32827.3484 to the nearest one hundred.\nAnswer: -32800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 166904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of z**2 - 10. Let f(l) = 29*l**2. Give f(s(p)).\nAnswer: 116*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y - 9. Let h(u) = 1. Suppose -2*k - 2*a = 0, 3*a = 5*a - 2. What is k*x(n) - 9*h(n)?\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-66)\/(-20)*(-3450)\/(-2530). Factor 3\/2*z**2 + 3 - m*z.\nAnswer: 3*(z - 2)*(z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b. Let q(i) = 3*i**2 - 5*i - i**2 + 4*i**2. Let u(v) = v. Let x = 25 + -35. Let r(n) = x*u(n) - 2*q(n). Give r(w(k)).\nAnswer: -48*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-546)\/(-98))\/(1152\/(-1344)).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 53*c**3 - 54*c**3 + 2.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 1 = 0, -56 = -s + 6*s - n. Let q(c) = c**2 + 9*c. Is 22 a factor of q(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k - 2. Let d(w) = 2. Let f(l) = 2*d(l) + 2*m(l). Let q(a) be the first derivative of 12 + 11\/2*a**2 + 0*a. Calculate f(q(y)).\nAnswer: -22*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.044, -6, 1.1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 3*g**3 + 2*g**3 + 4 - 2*g**2. Let n be k(0). Suppose -n*z + 63 = 5*x, -x - x = -4*z + 70. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3439 divide 118731475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -10*q**2 + 459*q + 2462. Give f(-5).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13996*v + 13829*v - 1670 = 0 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85 + 2951 + (-2 - (0 - -1))?\nAnswer: 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.36, -3\/8, 7, -1\/5 in ascending order.\nAnswer: -3\/8, -1\/5, 0.36, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 + -2 + -2)*3. Which is greater: 5 or a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/21619 in 0, 2\/5, 2\/19, -0.2, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 10. Let q = -33 - -29. Let b be (-2)\/(q\/(-40)*-4). Solve b*o = -z - 8 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -2. Let k(f) = -f**3 + f + 22. Is k(s) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-31)*v*(v**(-2\/63)\/v)\/v)**(-4) assuming v is positive.\nAnswer: v**(8072\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 176087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4310)\/18102)\/(5\/(-108)*-3)?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**5 - 34*v**4 - 140*v**3 = 0. What is v?\nAnswer: -10, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 29*w**2 + 213*w - 499. Give j(-9).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 5*b + o, o = 4*b + 86 - 74 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 978.291 to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 2:02 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (16 - -1) - 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 75 = -3*x. Let g be (-846)\/x - 6\/(-15). Let w = -11 - g. Calculate the highest common divisor of w and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*b**2 - 134*b**4 - 143*b**4 - 8*b**3 + 417*b**4 - 517*b - 142*b**4 wrt b.\nAnswer: -24*b**2 - 48*b + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 5537*z**2 + 19 - 8 - 5.\nAnswer: -5537*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence clc when three letters picked without replacement from uccluhunluc?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -8 + 4 + 2 + 3. Let j be (0 + 0)\/(3\/3)*a. Suppose 6*h**4 + 15\/4*h**5 + 0*h + j*h**2 - 3*h**3 + 0 = 0. What is h?\nAnswer: -2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63.89 - -0.11. Let l = 0.0192 - -63.2208. Let g = l - x. Round g to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.43 - -0.33. Let m be 0 + 1 + 21\/(-12). Which is the second smallest value? (a) m (b) 3\/2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 8*c**2 - 6*c. Let x(g) = 735032*g. Calculate x(u(z)).\nAnswer: 5880256*z**2 - 4410192*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3.092997 decades?\nAnswer: 371.15964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from qqqqsqsqsqqq?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z + 3458 + 8350 = 0. Calculate the greatest common divisor of 41 and z.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18.95 + -19. What is the biggest value in v, -0.4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 3. Let j = -2 - -5. Let d = 0.1 - -0.1. What is the smallest value in j, a, d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.0709267 * 5\nAnswer: -0.3546335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 774*q - 43. Let y(t) = 91*t - 5. Give -5*n(s) + 43*y(s).\nAnswer: 43*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 6*s**2 - 16*s - 85. Let m be d(-4). What are the prime factors of (-111 - 1)*2*(-22)\/m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 98457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7989 - 8010. Which is the smallest value? (a) 3.5 (b) 0 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*u**(-6)\/u)\/u)*(u**5*u)\/u)**2\/(((u*u**11*u*u)\/u)\/(u\/(u\/(u*u**(-1\/4)\/u*u))*u))**(-21\/5) assuming u is positive.\nAnswer: u**(293\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 211 + 90*a - 3566*a**2 - 90*a - 211 in the form g + s*a + q*a**2 and give q.\nAnswer: -3566","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -20 + 31 - (-3 + -1 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1519 is divided by 115?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 8:51 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*(l*l**(2\/35)*l)\/l))\/l*l**(-2\/3))\/(l**0)**(1\/44) assuming l is positive.\nAnswer: l**(-286\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -698111033 - 0.11.\nAnswer: -698111033.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*(-1)\/(-3)*(-102)\/68. Let o(s) be the second derivative of -2*s**3\/3 - s**2 - 3*s. Let p(z) = 9*z + 4. What is y*p(n) - 5*o(n)?\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a + 55*a = 8379. Suppose -5*l - 4*m + 371 = 0, 4 = 3*m - 2*m. Calculate the remainder when a is divided by l.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 + 38. Let k be (4 - 5)*-2*(-146)\/(-140). Let w = k - 16\/7. Which is the second smallest value? (a) -0.1 (b) g (c) 2 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 833759 is divided by 416877.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 703926241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -222*g**3*n**4 - 20928*g**3 - 36*n**4 wrt n.\nAnswer: -888*g**3*n**3 - 144*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2732349000.\nAnswer: 2, 3, 5, 43, 59, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**2 + 104*j + 276 = 0.\nAnswer: -23, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 588 = -346*o + 374*o. Let u = 197 - 106. Calculate the greatest common factor of o and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 108050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 93505.2075 rounded to the nearest 10?\nAnswer: 93510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1028837 + -1028282.501. Let m = 555 - z. Let p = m + -0.5. What is p rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 41679 - -1221?\nAnswer: 42900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -673 + 769. Which is bigger: -8\/5 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 40*d + 444. Calculate the remainder when 93 is divided by z(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 6*u**2 - 8*u - 5. Let r be v(-7). Let w = 1 + r. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-78)\/15 - (-2)\/10. Let x(w) = 2*w - 9. Let z be x(6). Suppose 2*i = -b - z, -b - 11 = 4*i - 0*i. What is the second biggest value in i, 2\/9, o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*v = a + 41*v + 7, 3*a = -v - 13 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2034808 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1329620991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from zuk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21888 and 102447.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a**3 - 2*a**2 - 4*a + 1. Let b(x) = 6*x**3 + 5*x**2 + 9*x - 2. Let u(h) = -2*b(h) - 5*k(h). Is u(1) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.049 - -0.06?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, k: 1, e: 2, c: 1, p: 1, b: 1}. Give prob of sequence el.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-4*(sqrt(1700) + 0)*2)**2 + 0.\nAnswer: 435200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + s + 3*s - 21, 18 = 3*x + 3*s. Suppose -2*o - 28 = -y, -x*o = y - 22 - 16. Suppose 0 = r + 3*r - y. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 + 65990*h - 217734005.\nAnswer: -5*(h - 6599)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -369 times -5322?\nAnswer: 1963818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and -6.1?\nAnswer: 42.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2517185020?\nAnswer: 2, 5, 7, 2339, 7687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 + 3*s**2 + 2*s**3)*(3 + 1 - 5)*(-5*s + 0*s + 2*s) + (-2*s + 2*s - s**2)*(-3*s**2 + 0*s**2 + 2*s**2).\nAnswer: 7*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/140 + (1 - 1) - 404\/28?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -182 + 178. Sort 0, r, 0.24 in decreasing order.\nAnswer: 0.24, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ra when two letters picked without replacement from {a: 2, u: 1, y: 1, e: 2, f: 1, r: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6496 - 6500. Let x(c) = c**3 + 4*c**2 - c - 5. Give x(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 3*v**2 - 9*v + 5. Let m be j(5). Let c(p) = 30*p + 64. Let r be c(-2). Solve m = r*n + n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 780 + -771. Let w(d) = 3*d**2 - 9*d + 7. Let j(p) = -4*p**2 + 14*p - 10. Let u(r) = 5*j(r) + 7*w(r). Is u(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-1)*((-2)\/4)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of 4\/3*z**3 + 17*z**2 - 1\/15*z**5 + 0*z - 1\/6*z**4 + 0. Factor h(c).\nAnswer: -4*(c - 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 106895748?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3743246 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 5*z**2 - 8*z - 36. Calculate r(9).\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(133\/(-14) - -9). Put 1, 0, t, -2, 5 in ascending order.\nAnswer: -2, 0, 1, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 w when two letters picked without replacement from {w: 1, k: 1, c: 1, b: 1, g: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 + 4 - -127)\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 941997 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 5 - 3. Suppose -u + 5 = -i. Suppose -105 = y - 4*y + 4*n, 0 = -5*n - 15. Solve q - 13 = 2*c, -4*q + c + y = u for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 21 - 1 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 7 + 2. Suppose -3*x - 3*q = 2*x - t, -3*q + 9 = -2*x. Let b(n) = 2*n**2 + 114. What is the units digit of b(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2 + 6*c + 6. Let w be s(-3). Suppose -t + 2 = d, 2*d + w*t - t = -5. Find the second derivative of d*f**2 - 38*f**2 - 8*f - 10*f wrt f.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 12. Suppose 0 = s*t - 508 - 796. Suppose -5*n + 175 = 2*r, 4*r - t = -0*n - 2*n. What is the greatest common divisor of 32 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence die when three letters picked without replacement from deeeeeiieeeeee?\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -11*f**2 - 2*f + 15. Let o(h) = -4*h**2 - h + 5. Let s(c) = -3*l(c) + 8*o(c). Let j be s(4). Suppose 3*n - 9 = j. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - g + 1)*(-28 - 27 - 30)*(1 - 2 - 2)*(-1 + 1 - g).\nAnswer: 255*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3251512 is divided by 203149.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*a**5*k**2 - a**4*k**2 + 12*a**2*k**2 - 2*a*k**2 - 2*k**2 wrt a?\nAnswer: -1500*a**2*k**2 - 24*a*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 743996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 553 + -394. Suppose -s = -m - 11. Is s a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5962063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -1\/20*u**5 + 1\/2*u**2 + 0 + 5\/12*u**4 - 5\/6*u**3 - 17*u. Let s be q(2). Solve 5 = -s*j + 2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22222*r - 172*r**3 - 22222*r + r**3 + 2 - 2 + (-5*r**2 + 10*r**2 + 7*r**2)*(4*r + r - 4*r) + (-5*r + 2*r + r)*(-r**2 - r + r) + 0*r**3 + 2*r**3 - 3*r**3.\nAnswer: -158*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 52*l**2 - 110*l - 68. Determine q(54).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4603*g**2 - 877*g + 873*g - 4278*g**2.\nAnswer: 325*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -3*w**2\/8 + 19839*w\/2 + 5489847\/8 = 0.\nAnswer: -69, 26521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.02 - 0.02. Let l = j + -5. Let t = -1.5 - -1. Which is the closest to 0? (a) -0.3 (b) l (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -342 - 4?\nAnswer: -401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-9)\/(-15))\/(2\/30). Solve -15*g = -l*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -5*b - y + 562, 2*b + y - 223 = 0. What is the greatest common factor of 22 and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 87*v**2 + 43*v + 10. Give c(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 5*n**2 + 3. Let a be y(-3). Let m be ((-7)\/a)\/((-2)\/(-6)). Let p = m + 1. Solve 4*g - j + 8 + 3 = p, -2*g + 4*j - 2 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -5*h**8\/336 + h**7\/21 - h**6\/24 - 13*h**2\/2 - 16. Let q(u) be the second derivative of y(u). Solve q(n) = 0 for n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o - 1. Determine f(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1716280\/648420 + (-16)\/6?\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/23863 and -31\/592053?\nAnswer: 2018308677","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 + h + 2. Let l be i(3). Suppose -2*x + 15 = -l. Is x a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*o**2 + 137*o**2 - 246*o**2.\nAnswer: 23*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/19 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 404 * -0.4.\nAnswer: -161.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/18037 (b) 28 (c) -2.3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 31 = -2*m - m, -4*m - z + 23 = 0. Calculate the greatest common factor of 35 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.075*-9.466.\nAnswer: 0.70995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 - 47 = 6*i. Let o be (-5 + 40\/12)*i. Suppose -2*f + 3*v = -179, f + 4*v - o*v = 89. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = 12 + 8. What is the remainder when 6 is divided by (-1)\/(-2)*(b - (-5 + -1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -244*o - 2438*o + 535*o as m*o + f and give m.\nAnswer: -2147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/12)\/(-4)*(-20)\/8.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -161 - -161. Let m(p) = 6 + 3*p**2 - 2*p**2 + 15. What is the units digit of m(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/5)\/(s\/(s*s**(-1)*s))*(s**1\/s)\/s**6)\/((s\/(s\/s**(-1)))**38*s**(2\/7)*s**(-1\/4)) assuming s is positive.\nAnswer: s**(4447\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16266 is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (-2 + -3 - 2) + 14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2524165?\nAnswer: 5, 7, 41, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 5. Suppose 0 = -a + 3*q - f - 9, 0 = a - q + 2. Solve z - a + 27 = -5*b, 3*z = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 5, 0, 59 in increasing order.\nAnswer: -4, 0, 3, 5, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 77892.2.\nAnswer: -77892.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-40)\/(-150)*-10)\/(2\/(-9)) and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 324*o + 9052. Calculate q(-28).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 55506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t + 2*t + 14*t + (1 - 5 + 5)*(-2*t - 2*t + 3*t) + 3 - 2*t - 3)*(-3*t**3 + 2*t**3 - 4*t**3) as y*t**4 + h*t + v*t**2 + b + s*t**3 and give y.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -5, 2, -4, -215?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 312 + 811. List the prime factors of k.\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174*p + 11493 - 705 = 0. Solve -18 = -p*t + 65*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 2*o = 0. Suppose o = 3*z + 284 - 779. List the prime factors of (-10)\/z*-2577 - 6\/33.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2 - 1) + 6)*(-9 + (-112)\/(-12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 0.052735727?\nAnswer: 0.105471454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6.67 from 673.\nAnswer: 666.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 2*m)*(543 - 195 + 211)*(-2 - 3 + 4) in the form i + j*m and give j.\nAnswer: -1118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 488*p**4 + 140*p.\nAnswer: 5856*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a**4\/2 - 9*a**3\/2 + a**2\/2 + 81*a\/2 + 35 = 0. Calculate a.\nAnswer: -2, -1, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 368, 700, 1004, 1280, 1528, 1748?\n\"Answer: -14*l**2 + 374*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38824 = -5*d + 8*y + 38697, 3*y - 51 = 3*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3751 - -3829. Solve 27*n = 40*n - y for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5931077 to the power of 1\/3, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.7 + -91.7. Let s = -90 - g. Is 2\/45 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 5*l**5 - 6735*l**4 - 54095*l**3 - 142185*l**2 - 121950*l = 0.\nAnswer: -3, -2, 0, 1355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + n - 6531, -w + 2*n + 3035 = -3490. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y**2. Let j(x) be the second derivative of x**4\/24 - 3*x**2 - 8*x. Let v(a) be the first derivative of j(a). Give b(v(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3589635 and 7350.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 4*s**2 + 4*s + 3. Let m be i(-3). Let l(o) = -o**2 - 3*o + 822. What are the prime factors of l(m)?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 12 = -5*g, 2672*w = 2676*w - 21*g - 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + ((10 - 14) + 6 - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -737, -710, -673, -626, -569, -502, -425?\nAnswer: -338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 20*b = 207. What is the third derivative of -b*n**4 + 5*n**4 - 37*n**2 + 28*n**2 wrt n?\nAnswer: -432*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6179845 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**3 - 20930*p**2 + 41880*p.\nAnswer: -5*p*(p - 2)*(p + 4188)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 13*r**2 - 12*r + 1. Determine f(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*d**3 - 5*d + 4*d - 16*d**3 wrt d?\nAnswer: -54*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -1. Suppose q*n - 4 = -5*y - 4*n, 16 = -4*n. Suppose 10*o + 7254 - 7424 = 0. What is the remainder when o is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*x + 2 - 2)*(-3 + 1 + 1) + (-2 + 3 + 0)*(-2 + 2 - 2*x))*(20 + 11 - 6).\nAnswer: 75*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21727 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 0, 11, 24, 39, 56?\n\"Answer: l**2 + 8*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from {v: 3, d: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2739\/2*q**2 - 8664 + 9*q**3 + 52212*q = 0. What is q?\nAnswer: 1\/6, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13222 or 13234?\nAnswer: 13222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 4*m = t + 36, 4*m - 8 = 0. Suppose 2*y + n - 4 = 0, 4*n = -2*y + 3 + t. Let l(z) = 40*z**2 - z + 1. What is the tens digit of l(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*z + 270 = 14*z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.31 - -0.1. Let m = x - -1.01. What is the closest to -7\/2 in 0.3, 14, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 30925\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 11:55 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -10\/7, -1.3, 823, -0.1?\nAnswer: 823","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -b**5\/60 - b**4\/6 + 7*b**3\/6 + 2*b**2 + 2*b. Let p be g(-5). Solve p*f - 6 = 5*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: 1.159*20\nAnswer: 23.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*b = 79*b + 27*b + 226. Let u(q) = 1. Let g(m) = -39*m - 7. What is b*g(y) - 6*u(y)?\nAnswer: 39*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1052641337 to the nearest one hundred thousand.\nAnswer: 1052600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 32*s + 37. Let f(p) = -p - 1. Let t(r) = -5*f(r) - k(r). Differentiate t(i) with respect to i.\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i = 19*i - 6498. Calculate the remainder when i is divided by 85.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*y**2 + 2*y + 4*y**4 - 46*y**2 + 101*y**2 + 55*y as x*y + l*y**2 + n*y**4 + r + p*y**3 and give x.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3701119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2305682 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**5 + 2440*q**4 + 56728*q**3 - 111210592*q**2 + 222241220*q - 111089800 = 0. Calculate q.\nAnswer: -395, 1, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.05 - -0.95. Let j = -1 + 1. Let s = -3 - 0. Which is the nearest to v? (a) s (b) -4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2597614998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from okogooogkvogk. Give prob of sequence ggg.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 189241175 to the nearest integer?\nAnswer: 13756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7439, 0.1, -80?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 2*p - 7*h, -5*p = -854*h + 852*h - 13 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/133, -5\/3, -5, -6?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 15 + 15. Let c(h) be the third derivative of h**4\/24 - h**3 - 5*h**2. Let o be c(s). Solve 5*u - o*f = u - 20, -1 = u + f for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2492, -4963, -7434, -9905, -12376?\n\"Answer: -2471*b - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 19 + 6. Let q(f) = -7*f + 7. Let k be (7 - 13)\/((-9)\/(-6)). Let c be 6\/(-2) + (-4 - k). Let o(h) = 4*h - 4. Determine c*q(s) + j*o(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.7444 times 0.118\nAnswer: -0.0878392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -250*s**5 + 149*s**4 - 7*s**3 + 6188705*s.\nAnswer: -5000*s**3 + 1788*s**2 - 42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 923*i**3*u + 3*i**2*u + 354*i**2 + 509*i*u + 26*i - 102 wrt i?\nAnswer: 5538*i*u + 6*u + 708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 11 - 9 + 3*p**2 + 12*p**2 + 18*p. Let d be t(-5). Calculate the greatest common divisor of 26 and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 353513*u**3 - 1200187*u**2 - u wrt u?\nAnswer: 2121078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 q when three letters picked without replacement from {i: 1, q: 7, e: 1, p: 3, m: 7}.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (1\/8)\/(129\/1032)*1*-13\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(1053) + -2)**2 + 5 - sqrt(1053)) + -1).\nAnswer: -3183 + 135*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 633 (c) 0.03 (d) -3\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 5*r**2 - 4*r - 10. Determine p(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rerxrrnsrxrree. What is prob of sequence er?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 10. Let p = -39686\/15 - -7936\/3. Let q = -6 + 7. What is the nearest to q in o, p, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 189 + -187. Let u(i) = -86*i - i**p - 87*i + 265*i - 1 - 90*i. Give u(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 23*c**3 - 11*c**2 - c. Let p(u) = -3*u**3 + u**2. Calculate 8*p(l) + w(l).\nAnswer: -l**3 - 3*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 m when four letters picked without replacement from ccccgmmumgggmggggc?\nAnswer: 8\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -g**3\/3 + 5*g**2\/2 - 2*g - 3. What is the units digit of j(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 5*t**2 + 2*t. Suppose -5*b - 41 = -11. Let l be b\/9*36\/(-8). Let p(s) = -4*s**2 - l*s**2 - 3*s**2 - 5*s. Determine 5*f(v) + 2*p(v).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of f**7\/840 + f**6\/120 - f**5\/12 + f**4\/12 - 7*f**2. Let s(r) be the second derivative of d(r). Is s(-13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 389\/7 + -56. Which is the smallest value? (a) 7 (b) -3\/2 (c) o (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*u + 285, 3*u - 34*o + 420 = -32*o. What is the fourth smallest value in 1\/3, -5, u, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -3) + -2 - 4. Let l(s) = s**3 + 5*s**2 + 2*s + 4. Let p be l(t). Let u = -7 + p. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240) + 3*sqrt(240) - sqrt(240)) + sqrt(60))\/sqrt(12).\nAnswer: 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -67*-5129629\nAnswer: 343685143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(234) + sqrt(234))\/sqrt(6))\/sqrt(3) + (sqrt(156)\/(sqrt(12)*1 + sqrt(12) - sqrt(12)))**2 + (sqrt(13) + -3 + 2 + sqrt(13))**2 + sqrt(13).\nAnswer: -5*sqrt(13) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.526 - -0.526. Let y be (4 - 5)\/((-15)\/(-6)). Which is the second smallest value? (a) -0.1 (b) k (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4060\/308 + (-4)\/22. Solve m - 1 = 12*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(252) + 2 + -2 - sqrt(252) - sqrt(252) - sqrt(252)) + 1)**2*6.\nAnswer: -576*sqrt(7) + 96774","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*o - 24 = -75*o. Let f(u) be the first derivative of -3*u + o + 0*u**2 + 2*u**3 + 0*u**4 - 3\/5*u**5. Let f(s) = 0. What is s?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -46, -2, -0.031, -1\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, -0.04, 3, 0.2, 1182.\nAnswer: -82, -0.04, 0.2, 3, 1182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of m**4\/24 + m**3\/9 - m**2\/12 - m\/3 - 14. Solve a(s) = 0 for s.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (995\/249 + -4)*3. Let o = -256\/581 - l. Sort o, 3, -0.5, -2 in decreasing order.\nAnswer: 3, o, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/2)\/(2*5\/15))\/((-923)\/33228)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -4 - (-2 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 7) to base 2.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11\/9 - (-8)\/(-36). What is the remainder when 4275\/76 + (-1)\/4 is divided by (-95)\/(-10)*(g - -1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*q = 9, g - 2 = -4*q + 1. Suppose 0 = 4*k + 16, 3*h = g*k + 20 + 4. Let t(b) = -2*b + b + h*b - b. Let d(w) = -7*w + 1. What is 2*d(c) + 6*t(c)?\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f - 9. Let j be 3 + 7\/(7\/(-12)). Let y be l(j). Suppose q + 4*q - 195 = y. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310307 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 33*j + 71. Let k be d(-2). Solve 3*y - y - a = -8, -k*a + 20 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 290241047 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -65.3296196 and 0.\nAnswer: -65.3296196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1906, 59, 164 in ascending order.\nAnswer: -1906, -3, 59, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -330*g**3 - 4700*g**2 - 20725*g - 16070. Let i(x) = 7*x**3 + 100*x**2 + 441*x + 342. Let v(t) = 2*c(t) + 95*i(t). Find z such that v(z) = 0.\nAnswer: -14, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, n: 1, u: 2}. What is prob of picking 1 n, 2 u, and 1 s?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from iiidididdiidddii.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102802.\nAnswer: 2, 7, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -64) + -25 + 31 + 3 + 0?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 23*o**3 + 17*o**2 - 17*o - 17. Let y(w) = -17*w**3 - 6*w**2 + 9*w**3 + 6*w + 5 + 1. What is 6*p(r) + 17*y(r)?\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.030869 - 0.033. Round x to four dps.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 9*u**2 - 8*u + 12. Suppose -w - r = 10, 4*w - r = 2*r - 33. Let k be o(w). Suppose k = -2*j + 6*j. Is j a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 998607331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, w: 1, y: 2, b: 2}. What is prob of sequence wby?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 116232\/3340 + (-36 - 2)?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 3 + 1)*(-311*d**2 - 123*d**2 - 564*d**2) + 2*d**2 + 0 + 0 as g*d + f*d**2 + o and give f.\nAnswer: 1000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 0.07, 2\/29 in ascending order.\nAnswer: -2\/7, 2\/29, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3838683?\nAnswer: 3, 1279561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -224835*w**3 - 449664*w**2 + 12*w = 0?\nAnswer: -2, 0, 2\/74945","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of d**4\/12 + 64*d. Give u(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4575735 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: Simplify ((((n**23*n)\/n)\/n*n)**(-20)*n**12*n*n**10)**(-28) assuming n is positive.\nAnswer: n**12236","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7401520*d**3*t**4 + 952*d**3 + 3*d**2*t**4 + 12489*d*t**2 wrt t?\nAnswer: 177636480*d**3*t + 72*d**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -6. Let u = -11 + y. Is 1\/(-4) - 133\/u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -70, -123, -174, -217, -246, -255, -238, -189?\n\"Answer: k**3 - 5*k**2 - 45*k - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/13, 4\/16005, 81.\nAnswer: 4\/16005, 3\/13, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4*k - k - 4*k)*(1 - 7 - 5)*(8*k + 3*k + k).\nAnswer: 132*k**2 - 528*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 3*l - 12, 92709*v - 92713*v + 3*l - 14 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 110011000100110010 (base 2) to base 5\nAnswer: 23143302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23391.954 + 23492. Let g = c - 0.046. Let o = g - 104. What is the third biggest value in o, 0.12, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.54 * 0.1.\nAnswer: -0.454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1020 - -12?\nAnswer: -1005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*o + 3*m - 2, -5*m + 14 = 2*o. Let f = 9841 - 9836. What is the third biggest value in 3\/5, -0.3, f, o?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-13 + -2)*(3 + (-17)\/5). Suppose -k - d*k = -28. Solve 0 = -k*a - 2 - 18 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/2))**(-16\/5)\/(o\/(o*o**(3\/11)*o)*o*o**10) assuming o is positive.\nAnswer: o**(-447\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 434\/930*(-180)\/(-252)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -718 and -157174.\nAnswer: 112850932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h**2. Suppose -26 = -3*p - 4*a, -p + 6 = a - 1. Let o(q) = -p*q + q - q + 5*q. Calculate m(o(z)).\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -y - 3*v, 0 = 11*v - 16*v for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(405) - (sqrt(405) + 0)) + -2)*2)**2*1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24037864 by 9554.\nAnswer: -2516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1847*c = 1216*c - 312426 for c.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 671*f**2 + 178*f**2 - 537*f**2 - 109*f**2 - 568*f**2 in the form l*f**2 + h*f + b and give l.\nAnswer: -1707","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, y: 5}. Give prob of picking 2 y and 2 v.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rtlgrrt. Give prob of picking 1 r and 2 t.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 69.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f - 328281245984 + 328281245984.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a**2 - 109*a - 30. Does 13 divide s(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4041 - 1056*g + 1346 + 1344 + 1351.\nAnswer: -1056*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 6*z + t + 76542, 76539 = -5*z - 2*t. Let q = -9962 - z. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 5*a - c + 27, 0 = a - 4*c + 20. What is a rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-176700 + 23)*(-4 + 1)\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 389, 774, 1157, 1538, 1917, 2294?\nAnswer: 2669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.08 (b) 2 (c) 0.4 (d) 0 (e) -0.5 (f) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 8*z**2 - 8*z + 7. Let l be p(-7). Let d = -8 + l. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -22. Let s = o + 13.5. Let z = -0.8 + 1.3. Which is the nearest to s? (a) z (b) -0.5 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*w**3 - 178*w**3 - 56*w**3.\nAnswer: -136*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, e: 3, o: 1, i: 4, b: 7, m: 1}. What is prob of sequence mvo?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 1498*s - 1493*s + g, 0 = 4*s - 3*g + 9 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, -0.5, -6, -2\/3, -10, -3\/4, -12?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5158043 by 23.\nAnswer: -5158043\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 - (-1 - 4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207 is divided by 70.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6148956557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-135)\/25 + 20\/50. Let u = -137 + 269\/2. Put a, u, -1, -2\/19 in ascending order.\nAnswer: a, u, -1, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 1:03 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95464529?\nAnswer: 263, 362983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 8*d - 35. Suppose -d*y - 4*u + 10 = 8, y - 2*u - 4 = 0. Solve -3*l - t - 4 = -y, -5*t = 2*l - 16 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122013211 (base 5) to base 6.\nAnswer: -20225221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a year in months?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16065485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - -2) + (-10)\/2 + 6. Solve 3*n + m = -p*m - 22, 8 = -4*n + 4*m for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddl when four letters picked without replacement from {l: 2, d: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s + 14*s**2 + 2*s + s**3 + 2 - 5*s - 8*s. Let o be c(-15). Factor 0*u + 2\/3*u**3 + 0*u**o + 0.\nAnswer: 2*u**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.27 - 0.27. What is the closest to 0 in 4, 1\/9, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5608 + 0.474. Let z = -195.3868 - n. Let v = -185 - z. Round v to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 21, 45, 65, 81, 93, 101?\n\"Answer: -2*k**2 + 30*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5590 + 5593. What is the nearest to 3 in i, -1, 1.9, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 740*k + 0 + 31*k**3 - 30*k**3 - 739*k + 8 - 3*k**2 to l + u*k**2 + r*k + p*k**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5618872, 5618884, 5618896, 5618908, 5618920?\nAnswer: 5618932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 3:22 PM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*u**3 + 3*u - 22*u**3 - 17*u**3 - 2 - 25*u**3 + 9*u**3 in the form n*u + c + a*u**3 + t*u**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 583722381.99999932 + -583722368. Let y = i - 14. Round y to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - 31\/2 - 2 - -1. Let s = x - -14. Let u be 6\/(-39) - 64\/(-78). Which is the biggest value? (a) -1\/2 (b) u (c) s (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a00 (base 15) to base 11.\nAnswer: 1766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-65)*(-13)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449 is divided by 281?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 4, 93.\nAnswer: -4, 0, 4, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 143, -11094, -113.\nAnswer: -11094, -113, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -257*k = 57*k - 3140. Solve -k*h = 254 - 244 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*h*p**4 - 280*h*p + 4*h - 25*p + 61041 wrt p?\nAnswer: -28*h*p**3 - 280*h - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -399 divided by -399\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5}. What is prob of picking 2 v?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 1344441210?\nAnswer: -1344441211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1478656 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 84 or 11959\/140?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 326 and 1058522?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.05 - -1.95. Let d = 2.1 - n. Let u = -3 - -7. Which is the closest to 0.3? (a) u (b) d (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 6:52 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0*(3 + -2))\/2. Suppose 0 = -4*b - x*b. Solve b*k + 16 = 4*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/1662 and 77\/166104.\nAnswer: 46010808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4434*l + 89 + 102*l - 1747*l - 90.\nAnswer: -6079*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -64629, -129259, -193889, -258519, -323149?\n\"Answer: -64630*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(22\/5))\/(((-22)\/12)\/11)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 8*v**2 + 4*v + 7. Let x = 11 - 4. Let q(w) = 9*w**2 + 5*w + 8. What is x*y(k) - 6*q(k)?\nAnswer: 2*k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 77081, 616774, 2081689, 4934438, 9637633?\n\"Answer: 77102*b**3 - b**2 - 18*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5 = -10*u. Suppose 4*m - 2 = -3*p + 19, 4*m = 2*p + 46. Let y = m + u. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0 and 19\/6100?\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t - 5*v + 10*v - 8, -2*v = -4*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tkt when three letters picked without replacement from {t: 3, k: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 13 * 14.295\nAnswer: 185.835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, f: 9, m: 4}. Give prob of sequence pm.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 2:43 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4\/6 + 2*b**3 - 29*b**2\/6 + 3*b.\nAnswer: -b*(b - 9)*(b - 2)*(b - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 60\/(-10)) + (-1 - 0). Let b(p) = 3*p + 1. Let s be b(-1). Is 1815\/f + 7\/49*s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2. Let x(y) = -3252*y**2. Calculate p(x(b)).\nAnswer: 10575504*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 4*b**2 - 1. Let p be g(-4). Let m = 1 + p. Suppose -2*n - t = -2*t - 39, 2*t - 10 = m. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 2:28 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -456359 (b) -5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -146*w + 27*w - 41*w - 100 - 10*w**2 + 50*w**3 - 5*w**2 + 5*w**4.\nAnswer: 5*(w - 2)*(w + 1)**2*(w + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - 38. Put -5, 0, s in descending order.\nAnswer: 0, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 315 divide 22480515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2485176, 4970351, 7455526?\nAnswer: 9940701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2.491904 - -106050\nAnswer: 106047.508096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 6:43 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**2 + 6*d + 0*d**2 + 146*d + 2*d**4 - 5*d**4 - 13*d wrt d.\nAnswer: -72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 496 + -489. Let o(g) = -g**2 + 5*g + 15. Calculate o(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5805405 and 135?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35 and 19740?\nAnswer: 19740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -1666\nAnswer: -499.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 59359.8 decades in millennia?\nAnswer: 593.598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35645005523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 1:27 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-24)\/(-18) - 3\/9. Let i be (-1)\/2*-3 - 1. Is i at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -3\/8, 3\/8, 0.2, 0.002?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-8))\/(90\/80)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 62 or 311\/5?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16747, 17571, 18395, 19219, 20043?\nAnswer: 20867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -2232 + 2232. Let p(d) be the third derivative of 5\/2*d**3 + t - 13\/24*d**4 - 9*d**2 + 0*d. Differentiate p(c) wrt c.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 614234 to the power of 1\/2, to the nearest integer?\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qizia. Give prob of picking 3 z.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + m - 6, 5*m + 12 = m. What is the hundreds digit of (-12)\/g*(-948)\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19489 - -1442121\/74. Find the common denominator of i and -38\/11.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -4*j**3 - 5*j**2 + 15. Is 39 a factor of s(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1998*r - 12 = -2*w - 1996*r, 0 = w + 5*r + 60 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 233344802?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 divided by 3289?\nAnswer: -5\/299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -4*h + 8*y + 20432, 0 = -4*h + y + 20448. Let u = h + -61247\/12. Calculate the common denominator of 5\/12 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(448) + 1 + -3 + sqrt(448)))**2 - ((sqrt(448) - sqrt(448)*2)*3*-4)**2)*5*6*4.\nAnswer: -276480*sqrt(7) + 17280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -10. Let u be 57\/g - (-1)\/4. Let c = u + -25\/4. What is the nearest to 1\/3 in -0.03, c, 0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 10*g**2 + 6*g + 44. What is q(11)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.332692349 to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(6 - 1 + 0 + (2 + 1 - 2)*(0 + 3 - 1) - 4 + 5 - 4)*(2*w + 1 - 1)*(4*w + w - 4*w).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c**3 - 16*c**2 - 11*c - 8. Give d(-4).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -787?\nAnswer: 782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*l + l. Let u = -5 - 2. Let d = u + 8. Sort l, d, -3.\nAnswer: -3, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 10:11 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 2:25 AM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133091 divided by 1.\nAnswer: 133091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 141, 3, -25712 in descending order.\nAnswer: 141, 6, 3, -25712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-16728)\/(-16)*8\/12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1191.\nAnswer: 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 3*o = 42 - 45, -353*c + 5*o - 5 = -350*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -8*r + 27. Suppose -3*a - 3*y = -21, 3*a + y - 6 - 7 = 0. Suppose -2*j = j - 15. Sort a, j, r, 4.\nAnswer: a, 4, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 7*n**2 + 13*n + 9. Let w be j(-4). Let b(z) = z**3 - 2*z**2 - 3*z - 5. What is b(w)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (3 - 5)*21\/(-10).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40823477, -81646953, -122470429?\nAnswer: -163293905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*sqrt(448) + 0 - (5 + (sqrt(448)*1)**2))*6*-6.\nAnswer: 576*sqrt(7) + 32616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1079 + 0?\nAnswer: -1079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1212488 + 24.48.\nAnswer: 1212512.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 351746.5 nanometers in centimeters?\nAnswer: 0.03517465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -719858 at most as big as -719547?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 62\/(-3)*(-3)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 1:22 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 24 + (57 - (39 + -21 - -1))\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -4*s, 17*s + 20 = 3*o + 13*s for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rxr when three letters picked without replacement from {r: 1, x: 5, u: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*m - 15*m - 7200. Let i = -78 - m. What are the prime factors of i?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 4*r - 8, -5*k + 2*r - 12 = -8*k. Let g be (-10)\/(-4)*4\/5. Solve 2 = -k*w + g*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/(-8))\/(-1))\/(418\/(-10032))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 3:50 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -30023000201?\nAnswer: 30023000131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -c**5\/20 + 2*c**4\/3 + 5*c**3\/3 + c**2 - c. Suppose 69 = 2*l + 5*w + 61, -3*w - 33 = -3*l. What is k(l)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*o = -0*k - 72, -5*o = -5*k + 125. Suppose -4*n = -y - 2*y - 23, -n + 4*y + k = 0. Let g be (10\/20)\/(-4 + n). Which is smaller: -5 or g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 25*k**2 + 25*k - 596. What are the prime factors of v(-22)?\nAnswer: 2, 5477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10940 is divided by 48.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333786.\nAnswer: 2, 3, 55631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 373*m*r**4 + 2*m*r - 556*m wrt r?\nAnswer: 1492*m*r**3 + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2. Let a(m) = -757464*m. Give t(a(o)).\nAnswer: -573751711296*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*j + j - 101*j + 101*j.\nAnswer: 18*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = p + 18 - 5, -2*r + 6 = -2*p. Let k(l) = -l**2 + 2*l. Give k(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*q + 40*q - 3*q - 11*q - 14*q - 142.\nAnswer: -3*q - 142","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -1\/7, -1.807, 2\/7, 5, 3\/4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -364*g - 3*m = -366*g + 145, 5*g - 335 = 2*m. Let a be ((-52)\/5)\/((-4)\/30). Calculate the greatest common divisor of g and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**5 - 759*j**4.\nAnswer: -3*j**4*(j + 253)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + h = 600, -5*l - 2*h + 533 = -214. Let m = l - 82. Suppose -3*a + 13 = v, 0 = -3*v + 4*a - 7*a + m. 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: (-4 + -2 - -2) + 10 - (12 - 14 - -6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 v when three letters picked without replacement from {s: 5, v: 9}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 53845 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -q**7\/140 - 11*q**6\/20 + 91*q**5\/40 - 23*q**4\/8 - 191*q**2. Suppose r(m) = 0. Calculate m.\nAnswer: -46, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 13. Let v(d) = -d**3 + 7*d**2 - 6*d + 5. Let f be v(6). Put a, f, 3 in decreasing order.\nAnswer: f, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -178156\/9 or -1\/13?\nAnswer: -178156\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2 = 3*c, 0 = b + c + 1. Let x be b\/((-3 - -2)\/5). Let 1 + v**4 + 3*v**3 - x*v**3 + 2*v - 2 = 0. Calculate v.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1292 and 100827.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 - 46. Let j be 3 - (s - 3\/(-3)). Suppose 0 = j*t - t - 20. Calculate the lowest common multiple of t and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -21*m - 91. Give y(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 14*b - 8. Let y(x) = -5*x + 3. Suppose 0 = -k + u - 5, -k - 3*k = 2*u + 38. What is k*y(g) - 3*r(g)?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/11)\/a**(-27)*a**(-4)*(((a**3\/a)\/a*a)\/a)\/a assuming a is positive.\nAnswer: a**(255\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -1300, -0.1.\nAnswer: -1300, -2\/9, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*w + 16. Let r = 328 + -8199\/25. Let s = 18\/175 + r. Which is bigger: s or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -60*v + 23*v + 23*v. Let x(k) = -16*k + 2*k + 6*k + 3*k. What is -4*q(m) + 11*x(m)?\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 137 (c) 100941\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.81 in -0.1, 0.04, -3\/5, -22?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 684035179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 114 - -28. Suppose -75*t = -76*t + k. Let z = 36 - 0. Calculate the remainder when t is divided by z.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**16\/w*w)\/(w\/(((w\/(w*w\/(w\/(w\/w**(-1)*w))))\/w)\/w)))**(1\/45))**14 assuming w is positive.\nAnswer: w**(28\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -7, 31, -4455 in ascending order.\nAnswer: -4455, -7, 0.3, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(832) - sqrt(13)*-3*-4.\nAnswer: -4*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000918 rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.23511132313 minus 1?\nAnswer: -2.23511132313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 8:16 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of 0*u**3 - 14*u**2 + 5*u - 25\/3*u**4 + 0 + 19\/12*u**5. What is the second derivative of x(c) wrt c?\nAnswer: 190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3929102?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.6, 366\/5, 0.2, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 105772, 211516, 317260, 423004, 528748, 634492?\n\"Answer: 105744*l + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3b - -24c?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -27 divided by 386150\nAnswer: -27\/386150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4433067 or 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 1517*d - 14. Let z(g) = 10620*g - 105. Determine -30*y(s) + 4*z(s).\nAnswer: -3030*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -140900 by -35225.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9415 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 103*t**2 - 14. Let y(c) = -12*c. Give y(r(z)).\nAnswer: -1236*z**2 + 168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 194 * 490\nAnswer: 95060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 412 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 133 - 130. Suppose -3*n - 15 = -3*x, -p*n + 4*x = -7*n - 20. Let f(m) = m**3 + 5*m**2 - 6. Calculate f(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -113, -163, -211, -257, -301?\nAnswer: -343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**2 + p + 1. Let r be j(-1). Let z be 2\/(-5) - (-1)\/5. What is the closest to r in z, 4, 0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 5 - (1 + 2 + -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -133304107?\nAnswer: 133304110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 17124252.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.4038 millilitres in litres?\nAnswer: 0.0984038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 12*k**2 + k. Let q be v(-3). Suppose -4180 = -3*g + 23*g. Let n = 251 + g. Calculate the highest common factor of q and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19555333 divided by -127\nAnswer: 153979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -0*d + 4. Suppose 9 = 5*g + d*h, 0 = -3*g - h - h + 7. Solve g*x + 11 = -4 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 2*b**2 + b + 6. What is g(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2173*z**3 + 1429*z**3 + 4654*z**3 - 990*z**3 + 3356*z**3 + 3796*z**3.\nAnswer: 10072*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 158 = -k - 143, -5*k + 35 = 5*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.89 - -0.79. Which is the smallest value? (a) 0.6 (b) 0.2 (c) j (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 12 - 27 + 9*u.\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 332 and 2672600.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/17329 and 3\/14663.\nAnswer: 190619","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 5:01 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-3228)\/9)\/((-28)\/5103) - (3 + 0)?\nAnswer: 2, 3, 13, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 3*r**2 - 12*r + 1. Let s be l(5). Put s, -3, -2, 1 in decreasing order.\nAnswer: 1, -2, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/12 and -103\/62.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 205*n**2\/2 + 31129*n\/4 - 589.\nAnswer: (n + 76)*(410*n - 31)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*u**5 + 2 + (0 + 3 - 1)*(4 - 2 - 4)*(-43547*u**5 + 416*u + 87089*u**5 - 43545*u**5).\nAnswer: 14*u**5 - 1664*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 6. What are the prime factors of (9 + m)\/(-2) - -302?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from twvwwwwtawtviaa. Give prob of sequence aw.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 + 7 - 6) + 0. Sort d, 3, -1 in descending order.\nAnswer: 3, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3622*g**3 - 18*g - 139124*g**3 + 18*g.\nAnswer: -142746*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*m + 2*m**4 + m**2 - 2*m**3 - 5 + 3 - m**2 in the form t*m**4 + d*m**2 + g*m + r*m**3 + i and give g.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p - 5*p + 4*p)*((3 - 4 + 2)*(3 - 3 - 1) + 4 + 1 - 7) as n*p + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89 = 15*n + 93 - 17 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-15))\/((-1)\/(-9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3269 - 130 = -3*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20440*d - 8869 = -20621*d for d.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -351 + 337. Sort s, 1, 11 in descending order.\nAnswer: 11, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 2*h**2 + 2*h - 7. Determine v(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by -6938?\nAnswer: -13\/6938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 505 = -6*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -1. Suppose -5*j + 3 + 17 = 0. Let y = -35 + 36. Which is the closest to y? (a) t (b) j (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -4342.1\nAnswer: 434.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 2709.49305 to the nearest 10.\nAnswer: 2710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -k**6\/1440 + k**5\/96 - k**4\/16 - 19*k**3\/6 - 7*k. Let z(p) be the second derivative of m(p). Factor z(l).\nAnswer: -(l - 3)*(l - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 8*d**3 + 2*d + 2. Let v be s(3). Suppose -r = v + 2276. Round r to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 5:44 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 1:07 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63517.00029321 + -63517. What is y rounded to six dps?\nAnswer: 0.000293","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(403\/11067 + 10\/315*-3)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 14) in base 10?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30702, -30794, -30886, -30978, -31070, -31162?\nAnswer: -31254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2019273927 to the nearest integer?\nAnswer: 1264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, u: 4, c: 1, e: 1, g: 1, m: 2}. Give prob of picking 2 m.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 23.04568 centuries?\nAnswer: 2304.568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -615897 divided by -6?\nAnswer: 205299\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**5 + 223*d**4 + 0*d**2 + 2*d**2 - 144*d**4)*(0 + 0 + 2).\nAnswer: 4*d**5 + 158*d**4 + 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -33 - 4?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 10 = g. Suppose 5*k + 3*q = 40, 3*k + 4*q + g = 4*k. Let m = 22 - k. Calculate the greatest common divisor of 99 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 548000 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -3, -8, 1, 0, 2, -30 in descending order.\nAnswer: 43, 2, 1, 0, -3, -8, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 132 and 616.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 7*d. Suppose -n - 3*o = 3*n - 33, n - 4*o + 6 = d. Calculate the highest common divisor of 15 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41040*l**3*m*q**2 + 328*l**3*m*q - 80166938*l**3 - 2*l**2*q**2 with respect to m.\nAnswer: 41040*l**3*q**2 + 328*l**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*p + 7 = -6, -5*p = -2*s + 23. Suppose 0 = -s*c + g + 250, -4*c + 302 = c + 4*g. What is the remainder when c is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1095)\/9490)\/(6\/4)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -1\/2, 1\/6694, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3216 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9279727 is divided by 2319929?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -9*a**3 - 7*a**2 - 5*a. Let k(b) = 4*b + 6*b**2 - 21*b**3 - 12*b**3 + 41*b**3. What is 6*d(w) + 7*k(w)?\nAnswer: 2*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v**3 + 7*v**2 + 65*v - 75. Give d(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p + 23. Let w be f(10). Let o = 42 + -173\/4. Which is the second smallest value? (a) o (b) w (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f + 1794. Let d(z) = 6*z**2. Determine r(d(l)).\nAnswer: 6*l**2 + 1794","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (16\/(-7) + 2)*-7. Suppose -16 = -3*p - 1. Let s = p + 0. Solve 0 = -5*z + 3*f - 3 + s, -2*z + 4 = -x*f for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -86.5 * -0.3.\nAnswer: 25.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(4108\/(-6636) - 2\/(-7))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(9\/4)\/(d*(d*d*d**(-3\/20))\/d))**(-24) assuming d is positive.\nAnswer: d**(-48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 1046.3\nAnswer: -418.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {u: 1, a: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2748 is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1253 and 112.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 988*p - 3996. Give n(4).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -2 (c) -1 (d) 1353 (e) -1\/7 (f) -0.1 (g) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 349728 and 2592?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -2. Let p = 6 + d. Let l be -2 - (-2 + (-9)\/6). What is the nearest to -1 in p, 1, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -998*w**2 + 327*w**2 + 331*w**2 + 326*w**2. Let x(y) = 7*y**2. Give -6*t(i) - 15*x(i).\nAnswer: -21*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 7327849*d**5\/4 + 109879837*d**4\/4 - 135849417*d**3\/2 - 186158669*d**2\/2 + 1930985*d\/4 - 2499\/4 = 0.\nAnswer: -17, -1, 7\/2707, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 590\/236*15\/(-175)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74077 is divided by 6170.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 41 + -4723?\nAnswer: -4672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10700 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -p - 5*s, -9*p + 6*p = 5*s + 14. Solve 0*o + 3*o = i - 14, 3*i = -p*o + 9 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 454822?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 1:58 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m**2 - 3849*m + 109139. Determine p(29).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 62 = -2*s, 6*s - 393*g = -395*g + 144 for s.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -v**8\/13440 - v**7\/1680 - v**6\/480 - v**5\/60 - 3*v**2. Let h(w) be the third derivative of d(w). Factor h(c).\nAnswer: -3*(c + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20476.\nAnswer: 2, 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 j when two letters picked without replacement from tmjmjnyw.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-3 - (4 - 4))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 155892 and 3897300.\nAnswer: 3897300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 4*u**2 + 2. Suppose -s + 4*l + 5 = -0*s, -4*s = 2*l + 16. Determine h(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -16. Let f = 146 - 139.3. Let w = -7 + f. Put d, 3\/5, w in descending order.\nAnswer: d, 3\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of 0*s**2 + s + 0 + 1\/12*s**4 + 0*s**3. Let f(w) = -3*w. Calculate f(h(q)).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 3, -26, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5764947 at least as big as -5764948?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 47244989?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 392 and 168154?\nAnswer: 4708312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -162 divided by -3?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 612297.6 years to months.\nAnswer: 7347571.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 + -6)\/(-5 - 1146\/(-230)). Let o = x - 90. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - 24*r - 104. What is y(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 993894.6 centimeters in kilometers?\nAnswer: 9.938946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1662880*j**4 - 1457336*j**2 wrt j.\nAnswer: -39909120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -5.4. Let t = 0.07 + 0.23. Put a, -2, t in decreasing order.\nAnswer: t, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1174c (base 15) in base 5?\nAnswer: 3240042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 3*p = 30. Let y(b) be the second derivative of 0 + 2*b**2 + 7\/12*b**4 + 1\/20*b**5 + 4\/3*b**3 + 104*b. What is y(p)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*v + 252 = -62*v - 120 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 924 and 798?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5776 is divided by 41?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3572496.579 rounded to the nearest ten thousand?\nAnswer: -3570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 9. Let y = -26 + 37. Let z = y + -10. Solve 0 = -2*p + s + z for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5*v - 21 - 47, -v - 5*w = 2. What is the nearest to v in 5\/3, -1, 1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/18 and (-6)\/(-21) - 2382\/252?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b + 15. Let z be v(9). Differentiate -17*x**2 + 2 + 6*x - 6*x**2 - z*x wrt x.\nAnswer: -46*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -5*w**6\/8 + 24*w**5\/5 + 219*w**4\/16 - 106*w**3 + 327*w**2\/2 - 84*w + 1136. Solve t(a) = 0.\nAnswer: -4, 2\/5, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2412\/(-1340)*10\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 584429?\nAnswer: 584429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -170, -342, -514, -686, -858?\n\"Answer: -172*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 6:33 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - w - 4. Let y be x(0). Let t = -4 - y. Suppose -4*h + 7 + 81 = t. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**3 - 5*o**2 + 58*o + 166. What is i(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0018194568 to 6 dps.\nAnswer: 0.001819","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-11)\/((g\/((g*(g\/g**(-9))\/g)\/g)*g)\/g)*g\/g**(-2\/9)*g*g**(-12) assuming g is positive.\nAnswer: g**(-115\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*z + 57*z - 20 = -6*y + 2*y, 245*y = 5*z + 1225 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37 + -8. Let v = t + 65. Suppose -5*l + l = -v. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxwx. What is prob of picking 2 x and 1 w?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 119274 (base 11) to base 2\nAnswer: 101101111001011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 3*m + 140. Let d be (-100)\/(-7) + (-8)\/m. Is ((-7)\/(-2))\/(d\/1036) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 589 is divided by 185?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**(2\/7))*p\/(p*p**(-14)\/p))\/((p*p**(-8)\/p*p)\/p)**(-7\/11) assuming p is positive.\nAnswer: p**(785\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 634172 and 14014?\nAnswer: 57709652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 111?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90) + -6*sqrt(90)*2)\/(sqrt(2) + sqrt(128)*-5).\nAnswer: 11*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -25, -4 = -2*s - 4*g + 16. Solve 3*j + 17 = 4*i, 4*j + 5*i - 3 + 5 = s for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 < -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o - 1. Let u be l(-6). Let v = 182507\/198 - 8324\/9. Calculate the common denominator of v and 1\/u*455\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 195bec + -4?\nAnswer: 195be8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4*y**2 + 61*y - 362. Calculate w(10).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47 - 15*y + 47)*(24*y**2 - 24*y**2 + 12*y**4).\nAnswer: -180*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 68 + -63. Suppose -t*s - 1 + 1 = 0. Let y(m) = -m + 12. Give y(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/6 and 111\/44?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1550.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*k*r - 66*k + 456*r**2 - 145 wrt r.\nAnswer: 7*k + 912*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.3, 2\/9, -189, 4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 + 6*g**2 - 2*g**2)*(1358*g - 693*g - 1667*g + (-2*g + 8*g - g)*(-4 + 2 + 1))*(2 - 2 - 2)*(0 + 2 - 4)*(3 + 0 - 2).\nAnswer: -12084*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 7:08 PM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1023 + -12?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3064 (base 7) to base 10\nAnswer: -1075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2009348 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5928\/(-390))\/(-38)*(-25)\/140.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.9? (a) 0 (b) 1\/4 (c) 0.152\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l - 5*l = -85. Suppose -l*n + 23 = -12. Solve 3 = 8*c - n*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 1:46 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130019941.\nAnswer: 433, 300277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5312375 or -5312336?\nAnswer: -5312375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*h + h + 327 - 300 as o + j*h and give o.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17286 (base 9) to base 14.\nAnswer: 44a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 1\/9, 0.22.\nAnswer: -1\/7, 1\/9, 0.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) + sqrt(120)*2 + 5*(sqrt(30) - sqrt(90)\/sqrt(3)))\/((sqrt(486)*1 - (sqrt(60)*2)\/sqrt(10))*-3).\nAnswer: -5*sqrt(5)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -214*i + 10486. Let u be y(49). Which is the closest to u? (a) 36 (b) 0 (c) -1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/3, -6.2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -16. Let c be ((-164)\/6)\/(w\/12) + -1. Suppose -17 = -4*j - 3*v, 2*j - v - 13 = j. What is the greatest common divisor of j and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -223.7 + 220.7. What is the second biggest value in -2, -0.5, a, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 4:36 AM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 9, 1832, 0.18, -4\/7?\nAnswer: 1832","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10871533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 10*z + 231 = 0. Calculate the least common multiple of z and 30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d + 1. Let p be z(-4). Let x(c) = c + 7. Let a(r) = -2*r - 174 + 168 + r. Give p*x(n) + 6*a(n).\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-48)\/72 + 38522\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -7 in ascending order.\nAnswer: -7, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 7:06 PM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -1 + 0*o + 7\/2*o**2 + 1\/3*o**3. Determine s(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10*(-4)\/(-390))\/((392\/(-21))\/(-14)).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34097 + 34097.0034557. Let s = -0.0965422 - f. Let p = s + 0.1. Round p to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 7:59 AM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m + 0*m - 43*m**3 + 44*m**3 - 6 - m**2 + 3*m. Is 35 a factor of p(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from cddcdcddccddddddddd.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s**3 + 54*s**2 - 7*s - 1. Let q(r) = r**3 + 18*r**2 - 2*r. Calculate -7*q(z) + 2*u(z).\nAnswer: z**3 - 18*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l**5 - 2205*l**4 - 3425*l**3 + 21120*l**2 - 6620*l - 8880 = 0 for l.\nAnswer: -4, -1\/2, 1, 2, 222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -14845.839 and -2.2.\nAnswer: -14848.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -4362.53 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.8, -161, -4\/23?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**5 - 2511*k**4 + 242475*k**3 - 1593729*k**2 + 1757688*k + 3596400 = 0. What is k?\nAnswer: -925, -1, 4, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - (16 - -17) - -5) + -2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 5*w - 45 = 0, -w = 10*f - 12*f - 13 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of 0*d + 0 + 0*d**5 + 5*d**2 - 1\/24*d**6 - 7\/24*d**4 + 0*d**3. What is the second derivative of h(z) wrt z?\nAnswer: -30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 171609 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 332 = -4*v - 302, 0 = -2*q - 5*v + 29. Sort 4, -49, 3, q in decreasing order.\nAnswer: 4, 3, q, -49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-1))\/(36*45\/(-7290))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -664, -797, -944, -1111, -1304, -1529, -1792, -2099?\nAnswer: -2456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -b**7\/5040 + b**6\/36 + 3*b**5\/20 + 21*b**2. Let n(p) be the third derivative of u(p). Determine n(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6, 4, 15, 18, -2 in increasing order.\nAnswer: -6, -2, 0, 4, 15, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) 13 (c) -35 (d) 0.2 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 2562*d - 313438. Give x(-117).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 343\/5 + -68. Let f = -292 - -579. Let v = -283 + f. What is the nearest to p in 1\/5, -3\/4, v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1862*r + 2934*r - 624*r.\nAnswer: 4172*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66302, 265104, 596410, 1060220?\nAnswer: 1656534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(3*x**2 + 4*x**2 - 3*x**2) - 2*x**2 - 4*x**2 + 4*x**2.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 - -10. Let y be 3\/(3\/(m\/(-3)) - 0). Solve 3 + 3\/4*d**2 - y*d = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 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: How many meters are there in 70750.57 centimeters?\nAnswer: 707.5057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d. Suppose 3*z = -2*o + 7, -5*z = -2*o + 1 - 2. Let p(f) = f - 1. Let y be p(z). Let g(n) = 2*n**2 + y*n - 4*n + 4*n. Calculate i(g(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**(2\/11)*l)**(-1)*(l\/l**5)\/(l\/l**(-2\/9)) assuming l is positive.\nAnswer: l**(-796\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and -214.976.\nAnswer: -217.976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1825480039 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(19) + sqrt(95)\/sqrt(5) + -4 + 1.\nAnswer: -5 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 220747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18193 and 11914?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - t = 2*x + 5, 2*x - 4*t + 10 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -0.059\nAnswer: -0.0236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-7 - (6 - 12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + 2)*((5*f - 2 + 2)*(4 - 4 + 1) + 0*f - 3*f + 5*f - 4*f - 2*f + 4*f) to the form g*f + q and give g.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - 580?\nAnswer: -591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 14*c**3 + 2*c**2 + 6*c - 12. Let a be d(2). Suppose 5*n - w + 137 = 2*w, -5*w = -4*n - a. Put -1, 3, n, -3 in descending order.\nAnswer: 3, -1, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - (-7 + -10)) + (-33 - -6).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1828 + 0.1822771. Round a to five decimal places.\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5\/2, 851.2, -87.\nAnswer: -87, 5\/2, 3, 851.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30554 - 6405 = -13*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2798 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -4, 0.4, 2\/47, -1\/6?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) -5 (c) -4 (d) -5.8 (e) 2\/93 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1586724673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1879180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + f + 9 = 0. Let h be (-7)\/(-4) - 5\/(-10). Factor 0 + h*l + 3\/2*l**2 + 1\/4*l**f.\nAnswer: l*(l + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25200 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4107*q**3\/8 - 52725*q**2\/4 - 8631*q\/2 - 351 = 0. What is q?\nAnswer: -6\/37, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-132)\/11*(-6 - 51\/(-9)). Solve -31*x + 26 = -32*x - 5*j, 17 = 3*x - p*j for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -10*n**5 + 122*n**4 - 366*n**3 - 146*n**2 + 1024*n + 672 = 0.\nAnswer: -1, -4\/5, 3, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -2\/45*g**3 + 5*g**2 + 0 + 1\/180*g**4 + 0*g + 1\/225*g**5 - 1\/900*g**6. Suppose x(k) = 0. Calculate k.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95911 is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2. Let u(t) = 1148*t**2 - t + 2581. Calculate u(a(x)).\nAnswer: 1148*x**4 - x**2 + 2581","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 165*q**4 + 308961*q**3 + 192892752*q**2 + 40184771328*q + 19680620544.\nAnswer: 3*(q + 624)**3*(55*q + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3*0.2\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bibbtubtubtiuiobii. Give prob of picking 2 u and 1 i.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -191, 970, -143, 4 in descending order.\nAnswer: 970, 4, -143, -191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 4:04 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o + 18. Let x be (-3)\/(4*(-3)\/(-24)). Let v be w(x). Let z(h) = h**2 + 1. Let k(i) = 4*i**2 - 3*i + 6. What is v*z(f) + k(f)?\nAnswer: -2*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 11) in base 2?\nAnswer: 11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-2*(sqrt(3) + (sqrt(3) - sqrt(27)) + 2))**2 - sqrt(15)\/(sqrt(30)\/(1*sqrt(6)))).\nAnswer: -17*sqrt(3) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j - 21. Let f be 15\/(-20) - (8 + 280\/(-32)). Determine v(f).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6025810?\nAnswer: 2, 5, 7, 86083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 19208 * -0.697\nAnswer: -13387.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 58574760 rounded to the nearest one hundred thousand?\nAnswer: 58600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2584 - -1811. Let j = 1429 + a. What is the hundreds digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 24\/23 (b) 3\/2 (c) -14853\/2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 16 + 11 - 38 + 25*q. What is the units digit of l(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.06 (b) -0.043 (c) -1\/2 (d) -0.342 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/1656 and -109\/66.\nAnswer: 18216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 3*u - 2*u)*(-4*u**2 + 6 - 6) - 2*u**3 - u + u + u**3 - 2 + 2.\nAnswer: -9*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4669 and 203.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/7, 5, -2\/5, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13989 = -4*u - s, s = -3*u + 8385 + 2106. What is the thousands digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25 + -2113210524?\nAnswer: -2113210455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = s + 2, 5*s + 5*m - 1408 = -1448 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 12 - -2 - (-6)\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11929 is divided by 211.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -b**5\/30 + 3*b**2\/2 - 1. Let a(t) be the second derivative of j(t). Let z(p) = 5*p. What is z(a(c))?\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 12 + 8. Let o be (-4)\/(-6)*6\/j. Let l = 2.6 - 3. What is the second biggest value in l, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-seven quarters of a kilometer?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 8 = 0, 0 = -2*l - r + 31 + 7. Suppose 3*p + p = 4*j, -p = 5*j + l. Suppose 0*c + 4*c + 3*u + 8 = 0, -u = 3*c + 11. Is p < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-5 + 2 + 1)*(1 + 4 - 3) - 5 + 3 + 4)*(h - h + 10*h**2 + 2*h) to x*h + u*h**2 + k and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17 or 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -2) + -258*2\/108.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*k - 1710 = 59*k. Suppose 0 = 2*b - 2*n - k, n + 871 = 5*b - 0*n. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2990*f**3 - 3*f**2 - 51*f. Let k(l) = 2991*l**3 - 4*l**2 - 68*l. Give 4*j(x) - 3*k(x).\nAnswer: 2987*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4972985?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert c39 (base 13) to base 14.\nAnswer: a84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 122061, 122072, 122069, 122052?\nAnswer: 122021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 4*r + 4*o + 3, 4*r - 5*o - 41 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by -1149.\nAnswer: -4\/383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**4\/9 + 224*n**3\/9 + 1190*n**2\/3 - 568*n - 2520 = 0.\nAnswer: -15, -2, 3, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -5, 1\/2, -4, -1\/4, -9757?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22016693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 0.3 (c) 0 (d) 2 (e) 4 (f) -3723\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -211, -696, -1463, -2476, -3699, -5096, -6631, -8268?\n\"Answer: 6*y**3 - 177*y**2 + 4*y - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 10538, -1.\nAnswer: -2, -1, 10538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*n**2 - 17446*n + 16454*n + 0*n**2 + 354*n**5 wrt n?\nAnswer: 7080*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1*(2*sqrt(252) - sqrt(252)))**2.\nAnswer: -12*sqrt(7) + 253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**2*i**3 - 228*h**2*i - 41*h**2 - 71*h*i**4 - 4*h*i**3 + 2*h*i**2 wrt i?\nAnswer: -12*h**2 - 1704*h*i - 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1902 + 2336. List the prime factors of v.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**3 + 2*r + 3*r**3 - 3*r**3 + (277*r**2 - 1212*r + 1212*r)*(r - 7*r + 3*r) + (0 + 1 + 3)*(-r**3 - 3*r**3 + 3*r**3).\nAnswer: -836*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231 = a - 261. Suppose -2*x = -3*m - a, 4*m + 3*x = 4*x - 651. Is m less than -162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -1 - (-82 + (27 - 7 - -13)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 307 (base 8) in base 2?\nAnswer: 11000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101111101100001 (base 2) in base 4?\nAnswer: -31331201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, r: 2, n: 7}. Give prob of picking 2 x and 1 r.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 4*m - 6. Let t be p(4). Let s be (t\/8)\/((-2)\/(-8)). Which is smaller: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56627 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 22261.76 years in centuries?\nAnswer: 222.6176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 0.1, -4, 1\/3, 6, -34, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12242827493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**4\/17 + 8*y**3\/17 + 20*y**2\/17 - 56*y\/17 + 30\/17 = 0.\nAnswer: -3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -80 - -3?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15407398 to the nearest integer?\nAnswer: 3925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.46107153 and -11.2621.\nAnswer: -11.72317153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*a*j*r**3*s - 6*a*j*r**3 - 3*a*r**3*s - 4*a*r*s + 18*j*s + 4*r**3*s wrt j?\nAnswer: -4*a*r**3*s - 6*a*r**3 + 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 15, 4, -13, -36, -65, -100?\n\"Answer: -3*n**2 - 2*n + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -133 - 415?\nAnswer: -552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 5 + 27 + 465*m + 11 + 7. Does 70 divide q(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 176 + -4?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -26*n**3 - 43*n**2 - 382*n - 49. Is y(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 + 10*b + 35. Let k be 3\/1 - 60\/5. Let l be i(k). What are the prime factors of (l + 9)\/((-4)\/(-6))?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1344)*-2 - sqrt(1344))\/(sqrt(30)\/(sqrt(30)\/sqrt(3))))**2 + (sqrt(14)\/(2*sqrt(288)))**2 + 4*(sqrt(441) - sqrt(49))\/sqrt(7).\nAnswer: 8*sqrt(7) + 2322439\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - l + 2395 = 0, 3*l + 519 = c - 668. Let z = 2094 - c. What is the hundreds digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5658, -27557, -64050, -115137, -180818, -261093, -355962?\n\"Answer: -7297*j**2 - 8*j + 1647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10037 (b) 5 (c) -0.065\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 325680 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10104)\/(-90) - 3\/(-9). Let s = g - 113. What is the second biggest value in s, 3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -384 = 9*v + 15*v. Let q be (v\/144)\/(33\/(-27)). Let h be (-1)\/((-5)\/(-2))*-5. Sort q, 5, h in decreasing order.\nAnswer: 5, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.199 in -1\/5, -18, 16836?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 6*g - 552. List the prime factors of 1\/((-2)\/(-2 - g)).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -205.7 * -7.\nAnswer: 1439.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -944, -784, -628, -476, -328, -184, -44?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1418 and 5895335?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 5*t**2 - t + 2. Let g be i(1). Let d be ((-28)\/(-12) - -5) + (-2)\/g. Solve -3*n - 2*l - 22 = -d*l, -4*n = -3*l + 11 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36\/7 and -11\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - 2) + 1 - 1. Let b be (-3)\/g*2\/3. Let q be 1*2 + (b - 1). Solve 5*t - 21 = -3*o, 4*o + 2*t = -q*o + 14 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(240)\/sqrt(6))\/(4*sqrt(18)\/sqrt(9)) + -3).\nAnswer: -3*sqrt(5) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**4\/12 - 7*s**3\/6 + s**2 - 10*s. What is z(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 2*f - 6*f + 2*f - 6*f + 7. Is y(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -727*w**4 + w - 764.\nAnswer: -8724*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 23. Let k be (p\/3)\/((-8)\/12). Solve 2*h = -5*v, 5*h - v = -k*v for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 140238 and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -2*c - 2, x = 5*c + 2*x - 12. Suppose 0*n + 47 = c*h + 3*n, 69 = 3*h + 5*n. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/4 + 3625\/100.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(147)*3) + 3 + ((-4 + sqrt(44))*2 - sqrt(3564)*6).\nAnswer: -2182*sqrt(11)\/21 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4769929+-5\nAnswer: 4769924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57 + 283\/5. Let d(w) = -w**2 + w + 4. Let j be d(-2). What is the nearest to 1 in j, m, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 441 + -256. What are the prime factors of u?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*s + 23*s + 17*s)*(-1 + 1 - 2)*(2 - 2 + 2*s).\nAnswer: -192*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 47670 and 23835.\nAnswer: 47670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 60270432 a multiple of 228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 12645708.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -b - 27. Let j be 3\/b - (-58)\/(-6). Let u = 16 + j. Solve u = -n + 3*n 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 105470 and 1060?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l - 1. Let x be h(-5). What is the third derivative of m**2 + 4*m**4 - 4*m**x - 2*m**4 + 5*m**4 wrt m?\nAnswer: 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 51 + 902*t**2 + 450*t**3 + 198 + 10 + 56*t**4 + 988*t - 89*t**3 + t**5 + 133 = 0.\nAnswer: -49, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 19 + 5 + 8*s - 20 - 4 in the form g*s + a and give a.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10957 is divided by 43?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 81 = -5*p + 6*t, 4*p - 56 = -2*t. Let k be 5 + (-54)\/p + 1 + -2. Which is the third biggest value? (a) -3 (b) -51 (c) 2 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*o + 4*o + 2*o)*(4*o**2 + 6*o**2 + 37*o**2) in the form z*o**3 + x*o + b + t*o**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 36776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -435*b**2 + 890*b - 40 = 0?\nAnswer: 4\/87, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 * -70.\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cb when two letters picked without replacement from {a: 7, l: 10, b: 1, i: 1, c: 1}?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a gram in milligrams?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22033 + -3?\nAnswer: -22102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3184, -3188, -3192, -3196, -3200?\nAnswer: -3204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -69396644, -138793295, -208189946, -277586597, -346983248?\n\"Answer: -69396651*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = 2*d - 7. Let y = d + 42. Suppose 5*x = 3*c + y, 4*x - 3*c = 2*c + 5. Does 5 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*((-11)\/(-3) - 1\/(-3)). Suppose -2*r - 3*r = g*r. Put -3, 9, r, 1 in increasing order.\nAnswer: -3, r, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/31 greater than 1235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-217)\/(-14) + -1*(-1)\/(-2). Suppose 10*v = -i + 55. Solve -v*n = -9*n + 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 5:15 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 6. Suppose 0 = -y*c - 4*d + 28, -2*d - 33 = -2*c - 7*d. Let t = 0.21 - 0.41. Put t, c, 1\/7 in decreasing order.\nAnswer: c, 1\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14242355 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.59066 to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 2*l - 4*l)*(-11 + 8 + 15 + 3*l) + (-4*l + 0*l + 2*l)*(-4 + 4 + l) - 2*l**2 + 7*l**2 - 4*l**2 + 3 + 2*l**2 - 3.\nAnswer: -5*l**2 - 24*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 408*y = 415*y + 14 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -7 - 2*r + r**2 + 2*r + r - 16. Let x be c(5). Suppose 7*q = -0*q + x. Solve -q = 5*u - 26 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/4 + 7\/8*d**2 - 17\/8*d + d**3 = 0 for d.\nAnswer: -2, 1\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12942?\nAnswer: 2, 3, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -b**3\/3 + 57*b**2\/2 - 12*b. Is a(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 3*d = 16, 3*d = -g + 2*g + 11 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25667.\nAnswer: 25667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -21*w - 3\/2*w**4 + 0*w**3 + 20 + 0*w**2. Differentiate m(p) with respect to p.\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 5, 0.13, 1 in increasing order.\nAnswer: 0.13, 1\/2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmi when four letters picked without replacement from iimmiiim.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o - 13 = -31 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -2620178\nAnswer: 2620178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.92 - 6.42. Let r be 2\/(-3)*(-6)\/2. Which is the biggest value? (a) o (b) r (c) -5 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -32*u**3 - 3*u**2 + 4*u - 3. Let a(h) = 64*h**3 + 5*h**2 - 9*h + 5. Let q(r) = 3*a(r) + 5*l(r). What is the second derivative of q(p) wrt p?\nAnswer: 192*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 9195\/26027?\nAnswer: 9195\/26027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3*(sqrt(180) + 1))**2.\nAnswer: 108*sqrt(5) + 1629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3)*(c - 3 + c + 2).\nAnswer: -6*c + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**4 + 3*i**3 - 3*i**3 + (i**4 + 3*i**3 - 3*i**3)*(-4 - 1 + 4) - i**4 - i**3 + i**3 - i + i - i**4 - 2 + 2 - i**4 + 2*i**4 - 19*i**4 + 4*i**4.\nAnswer: -16*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(2112\/6)\/(-44).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 6*w = 10. Let s be (-6)\/(w*(-1 + 3)) + 0. Solve 589 - s*y + 3*y**2 - 589 = 0 for y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((x*x**(-10)*x)\/x)\/x)\/x)\/x**(3\/8))**(-25))**10 assuming x is positive.\nAnswer: x**(11375\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 10*i**2 + 108*i - 35. Calculate m(-12).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1802249744.\nAnswer: 2, 112640609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -292 + 447. Suppose -h*y + 126 = -148*y. Calculate the remainder when 68 is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 9*h - 12. Calculate k(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264327 is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 25?\nAnswer: 7\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/22 - (-5 - 1148\/(-220)). Which is the closest to -2\/5? (a) 1\/7 (b) 15 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 457437 is divided by 10637?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5146, 5140, 5124, 5092, 5038, 4956, 4840, 4684?\nAnswer: 4482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 12*q - 33*q + 52 + 3*q - q**2 + 6*q. Calculate the remainder when 50 is divided by j(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 7*y**3 - 2*y**2 + 4*y - 2. Let g be j(1). Suppose -33 - 37 = -g*m. Let d(w) = -w - 6. Let o be d(-9). Solve q - 15 = -3*t, m = -5*q + o*t - t for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 142656284 to the nearest integer?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 35*j**2 - 33*j - 9. Let l be r(34). Calculate the greatest common divisor of 200 and l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m - 2. Let x be f(-7). Find the third derivative of -3*h**x + 4*h**5 + 3*h**2 - 4*h**5 wrt h.\nAnswer: -180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57986 or 57983?\nAnswer: 57983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -551\/1907?\nAnswer: -551\/1907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -5 - (15 + -7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2*d - 2*d**4 - 4*d + 2*d**3 - 6 to the form m + u*d**4 + g*d**3 + v*d**2 + x*d and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 650179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**3 - 5*t**2 - 38*t - 5. Is b(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -256, -582, -930, -1300, -1692?\n\"Answer: -11*d**2 - 293*d + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 3 - 106*d**2 - 83*d**2 - 1.\nAnswer: -189*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1079, 1122, 1187, 1268, 1359?\nAnswer: 1454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -8*a - 3. Let h be v(-1). Suppose 4*r = 4*t - 36, -5*t + 36 = h*r - 29. Let z(m) = -m. Calculate the least common multiple of z(-2) and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 4:40 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12640\/104)\/(-5)*-6. Let y = m - 146. Which is the second biggest value? (a) 2 (b) -273\/2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3639, 7263, 10889, 14517, 18147, 21779?\nAnswer: 25413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4*k**3 - 2*k**2 - k. Let y be g(-1). Suppose 3*v = 5*n - 2*n - 9, -5*n - 3*v + 23 = 0. Suppose n*z = -0*z. Does y = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18398?\nAnswer: 2, 9199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2056013407?\nAnswer: 7, 293716201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2 = 2*m, -2*m + u + 18 = -3*u. Suppose 0 = -m*z + 3*g + 20, z + 5*g = 6*z - 30. Let t be z\/(-5)*1 - 0. Is -1 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 307190\/7 + -43884. Which is smaller: q or 1084?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13869 by 7.\nAnswer: 13869\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 24.29363l?\nAnswer: 24293.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0.3, 2\/9, -1\/14 in decreasing order.\nAnswer: 0.4, 0.3, 2\/9, -1\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 10, 4 in increasing order.\nAnswer: -14, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/(-748))\/(-39*84\/(-1456)).\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 3*w**2 + 7*w - 5. Suppose -4*o - 4 = -3*p, 5*o = 4*p - 6 - 1. Is t(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.036 + -0.236. Let w = -5 + -24. Is w < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -4*r**3 - 1\/2*r**2 + 58 + 0*r. Let f = 0 + -1. Calculate o(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - l = -6*a - 5, -4*a + 4*l - 20 = 0. Suppose -7*o = -a*o - 35. Solve 101*n = 106*n - o for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 9*o + 9. Let r be f(-7). Let w = 0.68 - 0.28. Which is the closest to -1\/2? (a) r (b) w (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12404 (base 8) in base 10?\nAnswer: -5380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -3*j**2 - j + 3. Let l(p) = -2*p**2 - 17*p + 8. Suppose -2*x - 22 = -5*b - 4, 2*x + 18 = b. Let c be l(x). Calculate q(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -13*r. Let k(h) = h - 13. Determine j(k(m)).\nAnswer: -13*m + 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v - 17*v - 48 = 0. Suppose -b = -0 - 12. Calculate the greatest common divisor of b and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 53*c + 409. Let p be w(-7). Let l(v) = v**3 - 4*v**2 - 4*v - 5. Let s(q) = -3*q**3 + 11*q**2 + 11*q + 16. Calculate p*l(n) - 4*s(n).\nAnswer: n**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 6 = -o, 4*k - 40 = 4*o - 0 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 + 178328040*a - 1590044492512080.\nAnswer: -5*(a - 17832804)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.14, -1, 118\/7, -4, -2, 7, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2307*t + 2284*t - 13832*t + 2298*t + 2307*t + 2297*t + 2309*t.\nAnswer: -30*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.6 + -8.5. Let g = -0.7 - o. Let x be -3 - 3\/((-6)\/4). Which is the nearest to x? (a) 1 (b) g (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from bbbffbbbbbb?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 8*i**2)*(-2*i + 2*i + i)*(0 + 4 - 1)*(2 - 2 + 2*i) to s*i + q + d*i**2 + g*i**3 + t*i**4 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468) + (-1*sqrt(468))**2*-5 + -2*sqrt(468) + 1.\nAnswer: -2339 - 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -308134127.1 rounded to the nearest 10000?\nAnswer: -308130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**2\/z)**(-2\/13)\/((z\/(z*(z\/(z*z**(6\/7)))\/z))\/z**(-1\/12)) assuming z is positive.\nAnswer: z**(-2287\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c - 5*c**4 + 4*c**3 + 1 + 1 + 7*c**4 as h + q*c + z*c**2 + n*c**3 + i*c**4 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38734*j**5 + 2*j**3 - 331937*j?\nAnswer: 774680*j**3 + 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, -144, -204, -264, -324?\nAnswer: -384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -7*l - 15*l - 33 + 44 - 49 - l**2 - 62. Determine o(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 26350, 52718, 79080, 105436, 131786, 158130?\n\"Answer: -3*t**2 + 26377*t - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 1139*v**2 - 45*v + 9. Is c(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/8)\/(b\/((b**(-1\/9)\/b)\/b*b)))\/((b\/(b\/(b\/b**(-30))))\/(b\/(b*(b\/(b**(-2)*b))\/b)*b)) assuming b is positive.\nAnswer: b**(-2357\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -601822 by -18.\nAnswer: 300911\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 - 8 + 3*z - 10 + 15 - 3*z**3.\nAnswer: -3*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -2.683?\nAnswer: -2.383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -33, -94, -113, -18, 263, 802, 1671?\n\"Answer: 12*w**3 - 51*w**2 + 8*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 5*o**2 + o + 1. Let n be -1*(-3)\/(-9) - 429\/(-99). Calculate w(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -104025*v - 3942. Let u(b) = -211*b - 8. Determine -4*t(h) + 1971*u(h).\nAnswer: 219*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -62, 525, 309?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r + 1. Let h(a) = a**2 + 6*a + 3. Let z(s) be the third derivative of s**5\/60 + s**4\/24 - 2*s**2. Let m(b) = h(b) - 2*z(b). Calculate -5*k(i) + m(i).\nAnswer: -i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89607573.\nAnswer: 3, 11, 73, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 - 927 = 11*r. Let c = r - -79. Solve -o - 15 = c*f, -f + 5*o - 21 = -2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -6*r**2 + 2*r - 2. Calculate i(2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2245 divided by -1.\nAnswer: -2245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 3*k**2)*(0 - 2*k + 0)*(k**2 + 0*k - 2*k**2 + 2*k) + k**2 + 110*k**5 - 104*k**5 - 6*k**2.\nAnswer: 12*k**5 - 12*k**4 - 5*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -748 - -748. Is -2\/1091 less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 4:58 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 0, 3*s = g - 18 - 0. Calculate the lowest common multiple of 2 and (3\/s)\/((-2)\/32).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 0*n + 1 - 2*n + 2. Let s(y) = 3*y + 5. Let x(h) = 2*h + 4. Let z(k) = 3*s(k) - 4*x(k). Suppose -l - 6 = l. Calculate l*g(t) - 8*z(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 38912 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 760 a factor of 816066615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -820, -1109, -1320, -1417, -1364, -1125?\nAnswer: -664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.32 and -15002?\nAnswer: 79810.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bnib when four letters picked without replacement from {v: 1, s: 3, b: 3, k: 3, i: 2, n: 1}?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 322787.\nAnswer: 83, 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47904 and 731072?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 34*k**5 - 115*k**5 + 29*k**5 + (1 + 3 - 5)*(3*k - 3*k + 2*k**5).\nAnswer: -54*k**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 10. Suppose -y*n + 4*d = -188, 0 = -n - 4*d + 18 + 34. Is n a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 12 = 3*z. Let w = -9270 - -148373\/16. Calculate the common denominator of w and z\/9 - (-173)\/48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -l**6\/30 + l**4\/3 + 8*l**2. Find the second derivative of k(z) wrt z.\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/((t\/t**(6\/13))\/t)*t)*t**17)\/(t*t*t\/(t*t\/t**15)*t*t**(-1)) assuming t is positive.\nAnswer: t**(-6\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1377) + -2 - ((sqrt(1377) - -3*sqrt(1377)) + -3)) + 3 + sqrt(1377) + 5 + sqrt(1377) + -1 + 1 + (sqrt(1377) - sqrt(1377)*-2))**2.\nAnswer: 252*sqrt(17) + 5557","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (45\/(-20))\/((-2)\/32) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -350 divided by -2\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100222132311 + 2202?\nAnswer: -100222130103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r = 22*r + 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1230.35157 to the nearest ten.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**2*f**(5\/2))\/(f**(2\/7)\/f**(-3)) assuming f is positive.\nAnswer: f**(17\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 45 - -494117?\nAnswer: 494162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -1146*y + 19479. Determine h(17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -52*l**4*s - 43883*l*s**2 - 38971*s**2 - 20*s - 1 wrt l?\nAnswer: -208*l**3*s - 43883*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1341*s**2 - 1 - 1264*s**2 - 3*s + 952*s**2 + 5*s.\nAnswer: -1653*s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5*r - r = -15, -6 = 5*i - 3*r. Let p be (-1 - 5)\/(i\/2). Which is the second biggest value? (a) -5 (b) -2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 34 + 26. Let a = r - -40. Is 10 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 405 = -249*o + 258*o. What is the least common multiple of 165 and o?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 986 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 36*r**2 - 33*r - 73. Determine u(35).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -459*z**2 - 544*z + 68. Let d(v) = 34*v**2 + 40*v - 5. Let x(p) = 68*d(p) + 5*u(p). Let t(y) = -42*y**2. Determine 5*t(n) + 12*x(n).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (5 - 11) - 4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 1. Let n(g) = -43 + 39 - 3*g**2 + g**2. Let j(a) = -3*n(a) - 12*t(a). Let d(u) = -5*u**2. Calculate j(d(o)).\nAnswer: 150*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2271, -9121, -20531, -36501, -57031, -82121?\nAnswer: -111771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**4\/13 + 31802*t**3\/13 - 128011396*t**2\/13 + 12603596800*t\/13 + 12731640000\/13 = 0 for t.\nAnswer: -1, 102, 7900","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - (0 - 4))*6\/(-4). Calculate the remainder when -2 - -1 - 244\/(-1 + t) is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5570 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4*t = 840 + 906, 0 = 2*u + t - 1746. Let z = u + -347. What are the prime factors of z?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of x**5\/20 - 13*x**4\/24 + x**3\/3 + 8*x**2. Does 7 divide b(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5*b + 60 = 0. What is the remainder when 12\/(-10)*b\/9 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22304 (base 7) to base 16\nAnswer: 1607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + g**2 - g**2)*(10*g - 11*g - 4*g)*(0 - g + 0)*(15*g + 9*g + 35*g).\nAnswer: -590*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -r - 2*r - 37, -5*r - 37 = -4*w. Let y(j) = -14*j + 188. Let z be y(14). Which is bigger: z or r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(1 - (2 + -2)). Let l = -235561\/69 - -3414. Which is bigger: p or l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16051098*l**6 + 11*l**2 + 275414 wrt l?\nAnswer: 1926131760*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r - 24 + 4 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (525\/(-11025))\/(-21*5\/(-90))\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3135.29 to the nearest ten.\nAnswer: 3140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 10010 + 290*a**2 + 8453 - 1136*a - 2*a**3 - 17335 = 0.\nAnswer: 2, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 403, 2\/11, 1\/3, -1166, -5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ujjojoyjp. Give prob of picking 1 y, 1 o, and 2 j.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.396096ms to days.\nAnswer: 0.00000056014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aass when four letters picked without replacement from {a: 4, s: 2, e: 10}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.1 (b) 110 (c) 2 (d) -2 (e) 9 (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 2:06 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, s: 6, j: 2}. What is prob of picking 1 s and 1 k?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a gram in milligrams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 775156 divided by 387578\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1123*p**6 + 1169*p**2?\nAnswer: 134760*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005216962311 rounded to 6 decimal places?\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.28 and -249352367948.\nAnswer: -249352367948.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 11*h**2 + 16*h + 5*h**2 - 32*h + 24. Suppose -97 = 5*l + 4*z, -5*z = 8 + 7. Calculate the remainder when 48 is divided by r(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-10) - 343\/(-5). Let j be (6\/(-4))\/((-3)\/z). What is j rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/(-36)*16\/1440?\nAnswer: -2\/135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 59332 and 12.\nAnswer: 177996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 454587646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 797?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -9*m**2 - 144*m + 4. Let b(v) = 2*v**2 + 4*v - 1. Give 3*b(z) + c(z).\nAnswer: -3*z**2 - 132*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 6:05 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qoqo when four letters picked without replacement from {o: 2, q: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 177\/(-15) + (-4)\/20. Let x be 12\/(-9) + 200\/h. Calculate the least common multiple of 2 and (-40)\/x + 4\/(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 13*x - 141. Let a be p(11). Let u(t) = 13*t**2 - 4*t + 0*t**2 - 7*t**2 + a + t**2 - 8*t**2. Determine u(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 78.2 + -78. Let t = -5.3 - -2.3. Which is the third smallest value? (a) m (b) t (c) 3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 4*y**5 + 5160*y**4 + 111584*y**3 = 0?\nAnswer: -1268, -22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/3*(-35)\/420?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -69, 3\/2.\nAnswer: -69, -4, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 6:34 PM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 4 - 10*k + 6 + 7 + k**2 - 1. Let h be u(7). Suppose -4*w + j = 10, -5*w - 8 = -3*w + j. Sort -2, w, 1, h in descending order.\nAnswer: 1, -2, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.37 - -3.4. Let n = 0.17 - 0.67. Let o = -3 + 2. Which is the second smallest value? (a) o (b) n (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-6) + 10\/4. Suppose -3*y - 6 = -4*f, -21*y = 3*f - 17*y + 8. Solve f*b + 6 = i*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*((-4)\/6 - 0). Suppose 2*d - 10 = -4*j + 6, -18 = -3*d - 4*j. Suppose 25*z - 24*z = -3*s + d, 4*z - 4*s - 24 = 0. Solve -p*x - 3 = -z*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 38*m**2 + 123*m. What is i(41)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 118 - 114. Solve w = -1 - y for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 5*t + 5. Let g = -77 + 80. Let y(p) = 2*p + 3. Determine g*n(b) - 5*y(b).\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**6\/180 - n**5\/90 - n**4\/36 + n**3\/9 + 100*n**2 + 1. Factor f(y).\nAnswer: 2*(y - 1)**2*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u - 2. Let g be h(5). Suppose -4*p = -g*w - 1, 4*w + 3*p - 12 = 20. Factor -6*c**4 + 0*c**5 + c**w + 5*c**4.\nAnswer: c**4*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -822956 * -0.32.\nAnswer: 263345.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -214?\nAnswer: 1070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -37*l**4\/4 - 67*l - 1. Let z(y) = 2*y. Give k(z(s)).\nAnswer: -444*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of c**4\/4 + 4*c. Let l(z) = -4*z. Determine l(i(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1085b50 (base 13) to base 16\nAnswer: -4d55ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - -5 - 10)*-4. Calculate the greatest common factor of 8 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 9:30 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 380 - -5?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 405*q**6 + 7317*q**5\/5 + 1251*q**4 - 32*q**3 - 264*q**2 + 48*q - 863. Find f, given that l(f) = 0.\nAnswer: -2, -2\/3, 1\/10, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -21*i**3 - 3*i - 2. What is y(-1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53142054 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140316 + 140316 - 563*q.\nAnswer: -563*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 + -0.2. Which is the closest to -1? (a) l (b) -2\/19 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 300ad (base 14) to base 7.\nAnswer: 660306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 129 - 128.952. Let x = -4.652 - t. What is x rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6582 or 6581?\nAnswer: 6582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11558 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5503279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/11))**(25\/3))**25\/(r**(1\/15)*(r\/(r**(-5)*r))\/r*(r**(-1\/2)*r)**(-2\/7)) assuming r is positive.\nAnswer: r**(39218\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2 = 0, 4 - 101 = -3*x + 2*k. Solve 10*i + x - 13 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38412 divided by 4\nAnswer: -9603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4*r**2 - 87*r + 78. Calculate s(-23).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three tenths of a minute?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1861887 is divided by 1549.\nAnswer: 1538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 10296.\nAnswer: 10296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - 17. Suppose 4*n + 32 = b*p, 0 = 2*p + 2*n - 40. What is the tens digit of p - 3\/(3 - 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 158696 by 956.\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (1 - (1 + -7 + 19)) + -3 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 + 133\/(-21) - (-299022)\/(-9). Let z = l - -5249453\/158. Calculate the common denominator of -95\/6 and z.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3796695 or 26576866\/7?\nAnswer: 3796695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6135 - 5486 = -69*w + 3490. Which is smaller: 223 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1100*z + 2 - 1100*z - 263*z**3 + (-4*z - z + 6*z)*(2*z**2 - 3*z**2 - z**2) + 0*z**3 + 2*z**3 - 6*z**3 + 0*z**3 - z**3 - 3*z**3.\nAnswer: -273*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 170 = 4*z + 414, 2*a - 3*z - 388 = 0. Let h = a + -140. Suppose -h = -3*i - 2*i. What is the highest common factor of 8 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f - 6*f - 30 = 0. Suppose 3*k - 4*v = 9, -18 = 4*k - f*v - 30. Solve -3*i + 2*u - 11 = 0, 4*i - k*u = -17 + 3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 4*y**2 - 2*y + 5. Suppose 15 + 29 = 11*n. Give j(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or -135\/11?\nAnswer: -135\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-6)\/c**0*(c**1\/c)\/c**(-2\/5) assuming c is positive.\nAnswer: c**(-28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d + 27. Let a be j(10). Let y = 23 + a. Is 10 smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 7:35 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -86, -1046, -2646, -4886, -7766?\n\"Answer: -320*n**2 + 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 17.2989ml?\nAnswer: 0.0172989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 14 = -2*r. Suppose -a - 150 = -3*a - r*l, 5*l = 10. Calculate the highest common factor of 146 and a.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c66 (base 15) to base 6.\nAnswer: 112110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 1103*x**3 + 3*x**2 - 1. What is the tens digit of p(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1)**(-35)\/(p\/(p\/p**(2\/7)))**(-17)*p**9\/(p**(-2\/9)*p)*((p\/p**(-3)*p)\/p)\/p**(-9) assuming p is positive.\nAnswer: p**(-562\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -533, -532, -531, -530?\nAnswer: -529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5963213 and -3.\nAnswer: 17889639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/8 and (-80)\/880 + 1 + (-100)\/22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 778855.3 micrometers?\nAnswer: 0.7788553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 859, 2, -79?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 7*r = 24. Suppose -7*y = -r*y + 10. Let i be (y\/(-3))\/((-14)\/21). What is the greatest common factor of 2 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 10*q**2 + 10 - 9*q**3 + 35*q**3 + 26*q**3 - q**3 + q. Let n be (-28)\/35 + (-78)\/(-10)*1. Let l be y(n). Round l to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1652051 (base 7) in base 8?\nAnswer: 703462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -68*s - 1568. Let g be v(-31). What is the greatest common divisor of g and 666?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3553, -3, 3, 53, 13 in descending order.\nAnswer: 3553, 53, 13, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -292146035, -292146033, -292146031, -292146029?\n\"Answer: 2*c - 292146037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 42) + -819 + 850?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 736.91499988 - 648.9149979. Let y = l + -88. What is y rounded to seven dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 5, -0.5, -0.4, -98\/11, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -4*v**2 - 49856*v + 5431104 = 0.\nAnswer: -12572, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3 - 7*s + 6 + 6*s. Let r(p) be the third derivative of p**5\/60 + 7*p**4\/24 + 3*p**3\/2 - p**2. Let w be r(-6). What is a(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o - 2*o + o)*(2 - 2*o - 2)*(5*o**2 - 2*o**2 + 3*o**2).\nAnswer: 48*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*h**4 + 11*h**4 + 10*h**4 + 11*h**2 + 7*h**3 + 6*h**3 + 2*h - 29*h**4 to j + i*h + b*h**4 + r*h**3 + p*h**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -19*x**2 - 111*x - 360. Let g(v) = 9*v**2 + 56*v + 180. Let w(y) = -4*f(y) - 9*g(y). Factor w(u).\nAnswer: -5*(u + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -297, 11, 0 in increasing order.\nAnswer: -297, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -434 + 0?\nAnswer: -434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*t**3*u*v - 2*t**3*u + 49*t**2*u*v - 3*t**2*u - 2*t*u - t*v + 1074*u wrt v.\nAnswer: 11*t**3*u + 49*t**2*u - t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 14 = 61. What is the remainder when 73 is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -53 + (-5110)\/(-70) - (-34)\/(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -42.22 + -15\nAnswer: -57.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31220, 34591, 37976, 41381, 44812, 48275?\nAnswer: 51776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**2 - 2 + f - 12*f**4 + 921*f**3 + f**2 - 921*f**3 as r*f**4 + p*f**3 + t + c*f + w*f**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 11*n**2 - 8. Let c be f(-11). What is the units digit of (8 + -20)*26\/c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 380, 444, 508, 572, 636, 700?\n\"Answer: 64*a + 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -451*c = -456*c - 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b. Let p(x) = x - 3. Let c(a) = -4*a + 16. Let f(h) = -7*h + 32. Let i(q) = -5*c(q) + 2*f(q). Let u(l) = 3*i(l) - 16*p(l). Calculate u(j(s)).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 578159?\nAnswer: 241, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.14 and 22194.\nAnswer: 22193.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p**2. Let r be g(-1). Let d(k) = -4*k + 3. Let n be 24\/(-12)*(1 + (-4)\/2). Let z(w) = 2 - 10*w + 7*w + 3 - 3. Determine n*d(h) + r*z(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4\/5))**(-12)\/(s*s\/(s**(1\/4)\/s)*s)**(-1\/6) assuming s is positive.\nAnswer: s**(409\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 320*c + 6646. What is the lowest common multiple of x(-20) and 84?\nAnswer: 3444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2190429 decades in years?\nAnswer: 2.190429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -183360, -366739, -550118, -733497, -916876, -1100255?\n\"Answer: -183379*d + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 7, 13, 21?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, -2, -24, -25907 in descending order.\nAnswer: -4\/5, -2, -24, -25907","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294926618.\nAnswer: 2, 7, 21066187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -387*s**3 - 15448*s + 30850*s - 15402*s.\nAnswer: -387*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q - 3*q + 4*q**2. Let a(d) be the second derivative of -d**4\/12 - 141*d**2\/2 - 245*d. Let y(i) be the first derivative of a(i). Calculate z(y(v)).\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 231\/4 - 58. Which is the nearest to h? (a) 5 (b) 1\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1197489 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*k = -44*k + 342. What is the remainder when 63 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(735)*1*-2)\/(5*(sqrt(108) + sqrt(3) - sqrt(3)) + 1*sqrt(192)).\nAnswer: -28*sqrt(5)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17781 = 337*n - 6820. Solve -n = 26*h + 57 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2844439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 323*x**3 + x**2 + x. Let c be n(1). Let g = 351 - c. What is the smallest common multiple of g and 4?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 2*v - 2. Let p(r) = -5*r. Suppose -4*s + 2 = 6. Let z be p(s). Let q(a) = 2*a**2 - 5*a + 5. Give z*c(k) + 2*q(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(9\/((-945)\/(-310)) + -3). Find the common denominator of ((-54)\/(-4))\/(8 - 56\/a) and 77\/68.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*d + 4. Let o(n) = 2*n + 13. Let m(b) = -b - 12. Let f(i) = 7*m(i) + 6*o(i). Let p(h) = -6*h + 7. Let v(a) = 7*f(a) + 6*p(a). Determine v(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**3 + 58*o**2 - 6*o - 669. What is the thousands digit of r(-25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, j: 5, y: 2, z: 2, e: 1, k: 2}. What is prob of sequence zezj?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 19554, 9 in descending order.\nAnswer: 19554, 9, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -143, 0, 1, -4 in ascending order.\nAnswer: -143, -4, 0, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**2\/4 - 5*o - 16 = 0. What is o?\nAnswer: -16, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -38, 5, 1, 9 in descending order.\nAnswer: 9, 5, 1, -1, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of 41*n**3 + 107 - 137\/2*n**2 - 2*n. Find the first derivative of l(a) wrt a.\nAnswer: 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/20287 and 20\/60861?\nAnswer: 60861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4958838*b**3 - 4*b - 42127044?\nAnswer: -14876514*b**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0409*-17.9.\nAnswer: 0.73211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 248702.8 + -248099.8996. Let w = t + -603. Round w to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1857 + 7082. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.73425296 rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*j = -20*j + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of d**6\/120 - 2*d**5\/15 + 3*d**4\/8 - 13*d**3\/6 - 10*d**2. Suppose 5*c - 1 = 39. Does 13 divide h(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - -9. Let v = c - 27.3. What is the third smallest value in v, -2\/13, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 759785 - 7823.5513.\nAnswer: 751961.4487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4782?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (0 + 1) - -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7003 and 141.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/19)\/((z\/(z\/z**7))\/z) assuming z is positive.\nAnswer: z**(-116\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -38*r**2 + 3*r + 1. Let x(q) = -38*q**2 + 4*q + 1. Let v(a) = -5*o(a) + 4*x(a). Is v(-2) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ioeiuff. What is prob of picking 2 i, 1 o, and 1 f?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - t + 35 = 4*t, 96 = 5*q + 4*t. Suppose -1 + 5 = 3*p + l, 5*p - 5*l - q = 0. Which is greater: 0.2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3965*t**2 + 4741*t wrt t?\nAnswer: 7930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**2 - 42*y + 55. What is w(10)?\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -7*i. Let a(g) be the second derivative of g**7\/2520 + g**4\/3 - 3*g. Let v(u) be the third derivative of a(u). Calculate o(v(f)).\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -1\/2*p**2 + p + 3\/2 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 10*g**2 + 8*g + 18. Let q be w(9). Let r be 4*27*17781\/q. Let s = -516628 - r. Round s to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -5*m**2 + 3*m + 3. Let v(a) = 16*a**2 - 10*a - 10. Let k(p) = 10*b(p) + 3*v(p). Let r(c) = 60*c**2 - 122*c**2 + 56*c**2. What is k(r(j))?\nAnswer: -72*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3945 - -3995) + (-40)\/1 + 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94579 is divided by 2006.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 716724337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -81*s**5 + 2*s**3 - 2*s - 4 wrt s.\nAnswer: -1620*s**3 + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010100110 + 100?\nAnswer: -1010100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 f when three letters picked without replacement from {u: 2, i: 1, f: 2, k: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -59 + 61. Solve h*t - f + 11 = -t, 0 = -2*t + 4*f + 6 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -7, 0 in descending order.\nAnswer: 0, -2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 239 = 3*w + 329, -4*w = r + 766. Let c = w - -204. Solve -3*o = -4*g + c, 6*o - 2*o = 5*g - 15 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1572 - 1522. Let u = -83 + 43. Let f = u + 89. Is g < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*d + 17 - 33 = 68 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37*u**5 - 3*u**3 + 20*u**2.\nAnswer: -2220*u**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 20 = -f. Sort 3, -4, 4, f in descending order.\nAnswer: 4, 3, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lsisssisssssls. Give prob of sequence sili.\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2200547591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1270*c**4 + 30*c**2.\nAnswer: -30480*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23634\/7 + 24525\/7. Let b = l + -127. Do b and -6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -7*i + 7. Let u(j) = -22*j + 22. Let p(s) = -16*q(s) + 5*u(s). Is p(4) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/((-8)\/(-2)) + 5. Suppose -1 + 17 = 4*d, 0 = x*r + 3*d - 7. Calculate the remainder when 10 is divided by r*9\/12*-8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4212255 - -162\nAnswer: 4212417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 55*m + 291. Calculate the remainder when 59 is divided by p(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16 - -30) + 1 + -3. Suppose 10*u - d*u + 6600000 = 0. 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: What are the prime factors of 524603?\nAnswer: 17, 30859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 25, -1 in descending order.\nAnswer: 25, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x**3\/3 - 563*x**2\/3 + 560*x\/3 + 1124\/3 = 0. Calculate x.\nAnswer: -1, 2, 562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7493, -7484, -7463, -7424, -7361, -7268, -7139?\n\"Answer: u**3 + 2*u - 7496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 396\/288*(-40)\/(-154).\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 bigger than -31002?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n + 19. Let p be o(14). Suppose 9*v - p*v = -3*i + 2, 0 = v + 4*i - 7. What is the remainder when 54 is divided by -4*v*(-76)\/(-16)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddd when four letters picked without replacement from {d: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 5:28 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -6. Suppose 3*z + 12 + 6 = j. Let i(g) = g**2 + 5*g - 4. What is the lowest common multiple of 20 and i(z)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -8*g - 26. Calculate z(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 281, 1176, 2679, 4790, 7509?\nAnswer: 10836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccl when three letters picked without replacement from {y: 2, w: 2, s: 2, c: 8, l: 3}.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10220020 (base 3) to base 5\nAnswer: 42331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -13. Suppose -v - 3*o + 2*o = 10, v - 5*o = -q. Let h = 212 + v. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*b - 23 = -6*b, 0 = 5*g + 2*b - 20. Suppose 0 = -5*u + n + 159, -8*u + 4*u - g*n = -130. Is u a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 180880080 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 + 5\/((-15)\/6). Suppose -j*p - 35 = -2*b + p, -15 = -5*p. Is b a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -q**7\/70 - 5*q**3\/6 + q**2 + 2. Let l(d) be the second derivative of b(d). Differentiate l(k) with respect to k.\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g - 5. Let m be r(5). Let a(h) = 3*h**2 + 3*h - 2. Let s be a(4). Let i = s + -23. Calculate the highest common factor of m and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.02 + 0.48. Sort 1\/5, -7, 2, x.\nAnswer: -7, 1\/5, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -601 = -21*a - 588 + 680 for a.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 963898\/9 + -107092. Solve n*k + 16\/3*k**2 - 50\/9 - 8*k**3 = 0.\nAnswer: -1, 5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 4 (b) 0 (c) 18\/7 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46273\/8 or -5785?\nAnswer: -5785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 1101100?\nAnswer: 1101012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 2749460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 0*t**3 + 7 - 9 - 9*t**3 in the form g*t**3 + p*t**2 + n*t + v and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1043 - 0?\nAnswer: 1043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4183 = -6*l + 16411. Suppose -5760 - l = -14*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -8*x - 8. What is the lowest common multiple of z(-3) and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17147441?\nAnswer: 17, 647, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = z + 2*u - 4, -5*z - 6 = -3*u. Suppose -2*n + 80 = -z. Suppose -5*v - 8 = 2*a - 49, 2*a = -4*v + n. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110060, -220091, -330122, -440153?\nAnswer: -550184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 13*b**3 + 2*b**2 + b. Let v be t(-1). Let w = -6 - v. Let a(m) = 6 - 3*m**2 - w. Let k(o) = -o**2. What is a(k(n))?\nAnswer: -3*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -97215 <= 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35889926*q**2*v - q*v + 3294228*v wrt q.\nAnswer: -71779852*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 75*l**3*r**3 + 318*l**3*r - 3*l**3 + 2*l**2*r - 2070*l*r**5 wrt r.\nAnswer: 450*l**3*r - 41400*l*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**3 + 8*o**2 - 4*o - 8 = 0. Calculate o.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 11:34 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - -3*(-596)\/570. Let k = -7\/190 - q. Let w = 111\/28 - 1801\/140. Calculate the common denominator of k and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-948)\/553)\/(9\/(-504)*(15\/5 - 30))?\nAnswer: -32\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.12 - -1.88. Sort m, 0.5, 0.4 in decreasing order.\nAnswer: m, 0.5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 15 = 0, -n - 571 = -2*y - 62. What is the highest common divisor of y and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, 4, 17, -2, 5779?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 5:00 PM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*r + 4*t + 84, -r + 32 = -3*t. Let b = 66 - 87. Let q = -16 - b. Solve -r = -q*l + 2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -9) + -49 - (-46 + 76).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from axeufeeexeeeke. Give prob of sequence ek.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0.2, 0.3, -5\/4 in increasing order.\nAnswer: -5\/4, 0.2, 0.3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-21)*12\/(-40)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 803 and 10804.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 3:35 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 - 2*d + 62 + 6*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1703755 to the power of 1\/2, to the nearest integer?\nAnswer: 1305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 25 and 1302.\nAnswer: 32550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 287637?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/306)\/((-7)\/((-210)\/(-5))).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -8*l + 128. Give k(16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-96)\/(-168) + 22\/(-14))\/5. Let g = 3\/89 - -163\/445. Which is the second smallest value? (a) g (b) -5 (c) 8 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1419716110 to the power of 1\/2, to the nearest integer?\nAnswer: 37679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 383277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -1.1. Let a = 164 + -169. What is the third smallest value in -3, g, a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from etytyyhy. Give prob of picking 2 t and 1 e.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -24964 - 1\/4*j**2 + 158*j = 0.\nAnswer: 316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 104 = -304. Let j = -235 - f. What is the common denominator of -99\/8 and 9\/(-7) - 19\/j?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y - 3. Let f be n(-9). Suppose -f*t = 7 + 11. Is t equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2*2\/52)\/((-21)\/(-42)). What is the fourth biggest value in 3, -0.4, q, -0.1, -8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**3 + 45*r**2 - 699*r + 13205. Calculate m(21).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -21124*r**4 + 63364*r**3 + 21148*r**2 - 63364*r - 24 = 0.\nAnswer: -1, -2\/5281, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - -3)*1 + (10 - -40369). Suppose 0 = 2*f + 3*z - 25559 + 5365, 4*f = -4*z + g. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -85 and -55 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 121293?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 468938\/222 - (-33)\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 14 - 13) + -5 - -8\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from lllllll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1852049539?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-15))\/((28\/240)\/(651\/186))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 138 + 150 - 1096*g - 288 to f + o*g and give o.\nAnswer: -1096","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -103?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2283*l**2. Let b(i) = -2*i. Determine b(j(x)).\nAnswer: -4566*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*14*(-2)\/4. Let d = f - -15. What is the units digit of (d\/(-5))\/((-14)\/35)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 3*z + 3. What is d(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m = -12*m - 10. Let q(h) = 7*h - 7. What is q(m)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/155? (a) -0.4 (b) 0 (c) -3\/2582 (d) 2 (e) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0212 to 3 dps.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 3 + 10*g)*(-g + 2*g - 3*g).\nAnswer: -20*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/7*(10 - 3). Suppose 0 = -b - s*b - 3*f + 12, -5*b - 2*f = -14. Let l = b + -11. What is the second biggest value in -1\/5, -2\/3, l?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 + -0.4. Let h = 256 + -2814\/11. What is the closest to -3 in 3, s, h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b - 70. Let c be k(-25). Solve 5*h + 6 = f - 18, -22 = -3*f + c*h for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 21 - 2*s + s**2 + 22 + 0*s**2. Let z be h(1). Suppose 0 = j + 2*l - 6 - z, -l = 3*j - 41. What is the greatest common factor of j and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 842045.6 centimeters in meters?\nAnswer: 8420.456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -8) + (2 + -19 - (-19 + 21)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 7 (c) -115 (d) 20.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.596 + 1.374. Let h = l + -5.9. Let f = h + -0.47. Which is the nearest to 2? (a) 2 (b) f (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**3\/15 + 184*a**2\/15 - 70*a + 516\/5 = 0. What is a?\nAnswer: 3, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -524, 5815, 32?\nAnswer: 5815","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyll when four letters picked without replacement from {l: 4, t: 2, y: 6}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g + 3. Let t(z) = -517 + 521 + 178*z - 177*z. Determine -3*c(k) + 2*t(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5839 - -5845. Solve -5*n + s = i, -4*i + 4*n = -0*n for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 36 and 35 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24772 + -24772. Sort m, -5, 5, -111 in descending order.\nAnswer: 5, m, -5, -111","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 3*t - 3 = 0, 12*t - 64 = 3*c - 109 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 83b + 3?\nAnswer: 842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d**2 - 4*d**3 - 10*d**2 - 23*d**3.\nAnswer: -27*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/2268240 and -187\/2670?\nAnswer: 201873360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - x = -7, 0 = -0*c + 4*c - 5*x - 22. Suppose 0 = 2*t - 3*t + 3. Suppose -192 = -c*q + 3*w, 5*w - w - 206 = -t*q. List the prime factors of q.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c**3 + 4*c**2 - 4*c. Let x(g) = 4*g**3 + 4*g**2 - 5*g - 1. Let j(q) = -4*x(q) + 5*y(q). Let u be j(4). Sort 5, 2, 3, u.\nAnswer: 2, 3, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-224)\/126*-27)\/((-3)\/2).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 745940?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 6*n**2 - 4*n - 3. Let o be y(5). Suppose -2*u - 10 = -5*u - 2*p, 14 = 3*u - o*p. Solve -16 = -v - u*w, 0 = 4*v - v + 4*w - 16 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 539758.\nAnswer: 2, 269879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/114*(-54)\/((-18)\/2)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7884 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 375727895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*s**4 - 11*s**3 + 2*s**2 + 1266*s - 1?\nAnswer: 156*s**2 - 66*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (576\/(-136) - -4) + (-344)\/(-2924).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 - 0 - (1 + -3). Let n be -2 - q - 4\/2. Let j be 9\/(-6) - 1\/2. Sort n, j, -0.5 in increasing order.\nAnswer: j, n, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 2*x**2 - 2 + (3 - 3 + 2*x)*(-32*x - 22*x + 52*x + x + x - 4*x + (0 + 1 + 1)*(3*x + 0*x - 5*x) + 2*x + 3*x - 3*x).\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 15805391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1294 - 302. Does 43 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*f**2 - 4 + 9*f**2 + 6)*(-3*f**2 + 4*f**2 - 2*f**2).\nAnswer: 26*f**4 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ezm when three letters picked without replacement from fvyzfeyfzfmfyyf.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-8)*(-20)\/(-18)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 5:23 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13.88 - 14. Let y = -0.22 - z. Which is the second smallest value? (a) -1\/2 (b) 2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-16)*(-160)\/(-2). Let a be 4\/5*h\/(-8). Let y = 4 - 2. Solve 0*g = -y*g - a for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3806*k**4 - 46076*k**2 - 2?\nAnswer: 91344*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18185 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 139299 + -139294. Let y = 8 + -14. Let t(k) = -7*k**3 - 5*k**2 - 4*k. Let p(w) = -6*w**3 - 4*w**2 - 3*w. Determine j*t(r) + y*p(r).\nAnswer: r**3 - r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z*z**7*z*z*z*z*z\/(z\/z**0)*z*((z*z**3\/z)\/z)\/((z*(z**(-3)\/z)\/z*z*z)\/z) assuming z is positive.\nAnswer: z**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 13 = 7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10731958?\nAnswer: 2, 193, 27803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*c**2*n*p**3 - c**2*p - 9*c**2 - 2*c*n*p**3 - 3*c*n*p**2 + 162*c*p**3 - 2*p**2 wrt p?\nAnswer: 18*c**2*n - 12*c*n + 972*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (3 + -5 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 156 = -3*n. Does 13 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 324 (base 7) to base 11.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00014962 to 5 decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008404 rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + -1*1*-7. Let v = q - 4. Solve 0*d + 20 = -v*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1468416.6ns?\nAnswer: 0.0000000169955625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 248*i**2 - 579*i**2 + 251*i**2 to the form z*i**2 + v*i + t and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -51, 4, 2\/3, 104, 0, 33?\nAnswer: 104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 60*k**2 - 14*k + 3. Let g(v) = 166*v**2 - 10*v - 7. Let b(s) = 76*s**2 - 5*s - 3. Let i(l) = 9*b(l) - 4*g(l). Determine 8*i(z) - 3*m(z).\nAnswer: -20*z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -165*(3 + -4) - (-2 + 2). Suppose b - 3 = 1. Suppose -b*t - 15 = -5*t. What is the greatest common factor of t and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = -19*c + 7*c. Let f be 20\/(-30)*3\/12*c. Factor -f*k**3 - 15\/2*k**2 - 6 - 12*k.\nAnswer: -3*(k + 1)*(k + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*((-45)\/54*-1)\/15*1?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 80988717?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -37*b + 29*b. Let c = -13 + 8. Which is greater: b or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 310 + -346. Is -23 at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 550.6305 centuries to decades.\nAnswer: 5506.305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-318)\/(1\/2 - 0). Let y = f - -1140. List the prime factors of y.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from twwwqwwwwwwww. What is prob of sequence wwwq?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38085.\nAnswer: 3, 5, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/2*(-544)\/(-1836)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**2\/4 + 640735*q\/4 - 640725\/2 = 0. What is q?\nAnswer: 2, 128145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*d + 18 = 0. Suppose 4*z + 3*j + 192 = 0, j + 0*j - 4 = 0. Does 20 divide 5\/((-15)\/d) - z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - y - 1 = 0. Suppose -3*s - y = -4*s. Suppose 0 = 3*m + 4 - s. Is 1\/4 at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-15) - (-4)\/(-70). Let i = -50 - -23. Let z = i - -27.2. What is the nearest to -4 in -1\/2, p, z?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 7. Let f be (0\/(-1))\/(2\/(-4)*-4). Sort q, 5, f in descending order.\nAnswer: q, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - 21 - ((-10 - -1) + 7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence evo when three letters picked without replacement from {r: 1, n: 1, v: 2, p: 5, o: 3, e: 3}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from dtuuult.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*2349\nAnswer: 939.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 326007708 to the power of 1\/3, to the nearest integer?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 71 (c) -15522\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 1 + 4 - 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -143*g + 55. Let d(z) = z. Let u(n) = 14*n - 3. Let k(i) = 6*d(i) - u(i). What is -3*b(v) + 55*k(v)?\nAnswer: -11*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + 5 + -4 + 1. Let y be 4 + -6 - (j - (0 - -16)). Suppose 2*f + y = -5*s, 2*f = 2*s + s + 25. Solve -2*q = -5 - f for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -71.0041 - -71. Round k to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -802 = 2*t - l, 0 = t + l + 44 + 351. Let v = t - -268. Let c = -40 - v. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p + 17. Calculate q(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 4:02 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1225395689 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1137306 and 1507713.\nAnswer: 5217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(1900) + 0 + 4)**2 + -4 + (-2 + sqrt(1900))**2)*-6.\nAnswer: 720*sqrt(19) + 68688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 777084 is divided by 45710?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - 5 - 346*2\/(-4). Suppose 48 = -3*g + 5*g. What is the highest common factor of n and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 9:33 PM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.19 * 25.\nAnswer: -4.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -81, -1\/13482, -4 in decreasing order.\nAnswer: -1\/13482, -4, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189*q**2 + 606*q**2 - 140*q**2 - 134*q**2 - 140*q**2.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4087793*g**3 + 3*g**2 + 10*g - 99 wrt g.\nAnswer: -24526758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/4, 3, -14.075, 0.1?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 3:14 PM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12813168 to the power of 1\/2, to the nearest integer?\nAnswer: 3580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 1. Suppose -12*z + v = -14. Solve u = 2*u - 2*x, -5*u = -z*x for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/35)\/(43\/(-645)*6)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*v**3 + 69*v + 0 - 344\/5*v**2.\nAnswer: -v*(v - 1)*(v + 345)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c - 4*c + 3*c)*(50 + 27 + 30) to the form g*c + a and give g.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 4*c - 15951 + 15897 = 0, 154 = 14*c for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - w + 3*w)*(-533*w - 73 + 141 - 70).\nAnswer: -1066*w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wcwwpwacwpcthhchpwhc. Give prob of picking 1 c and 1 t.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 62627044 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -31964 divided by 61\nAnswer: -524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 33781847699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 + -34. Let j be ((-2)\/4)\/(117\/12 + -7). Which is the closest to t? (a) -3 (b) j (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 8, 0.5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/2*8\/(-6). Let g(x) = -x**2 + 12*x + 4. Let v(k) = 2*k**2 - 21*k - 7. Let f(n) = -7*g(n) - 4*v(n). Calculate f(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -313 (base 8) to base 13.\nAnswer: -128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 o when four letters picked without replacement from zzzzzzzzzzzozzzzzz?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 1. Let b = 12 - -2. Let c = -13 + b. Is c smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -4868.47\nAnswer: 4868.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from msmsmussummmmssmm. Give prob of picking 4 s.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390 is divided by 122.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -303968 - -225.44.\nAnswer: -303742.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 63. Suppose -6*m + 43 + 29 = 0. What is the remainder when c is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/5)\/((1\/(-5))\/(-1))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -344887 + -3.\nAnswer: -344890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -b**6\/120 - b**5\/10 - b**4\/12 + b**3\/2 - 82*b**2. Let j(v) = v - 12. Let d be j(6). Give h(d).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51a924 (base 11) to base 16\nAnswer: cbb11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or 6649?\nAnswer: 6649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 508 (b) 0.2 (c) -15 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8 - 1916588.2226516.\nAnswer: -1916589.0226516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 17*z + 3. Let q(c) = 13*c - 3*c**2 - 8 - 123*c + 60*c. What is -3*q(u) - 8*s(u)?\nAnswer: u**2 + 14*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j**2 + 46*j + 8. Let s(u) = -2*u**2 - 45*u - 6. What is 5*s(l) + 4*z(l)?\nAnswer: 2*l**2 - 41*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3195 is divided by 730.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6330610 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -32719\nAnswer: 2\/32719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, b: 10}. What is prob of sequence gg?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3375 and 1235925?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*i - 5*r, -4*r + 3 - 2 = -5*i. What is the second derivative of 2*v - 2*v + 3*v + i*v**4 - 7*v wrt v?\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*x + 34 = 0, 0*x + 31 = -2*g + 5*x. Sort g, 5, -2 in decreasing order.\nAnswer: 5, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 84 - 18*q**5 + 194*q + 147*q**4 + 184*q**4 - 716*q**2 + 496*q**3 - 506*q**4 + 135*q**4 = 0?\nAnswer: -7, -2\/9, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -5471?\nAnswer: 5474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -5*n + 2. Let r(h) = -2*h + 1. Let j(q) = -4*a(q) + 11*r(q). Calculate j(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2820*p**3 + 210*p**2 - 27*p - 26. Let a(n) = 403*n**3 + 31*n**2 - 4*n - 4. Determine 27*a(g) - 4*m(g).\nAnswer: -399*g**3 - 3*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2461743 bigger than -2461801?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/7, 1\/14, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, l: 2, f: 13}. Give prob of picking 1 f and 1 l.\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - m - 47 + 26.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2, -38, -100, -188, -302?\n\"Answer: -13*v**2 + 3*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from {g: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**2. Let i(l) be the third derivative of l**4\/24 - 4*l**2. What is t(i(x))?\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-3))\/(-5 - (-413)\/84). Solve 4*u = 4*f + 20, -d*u + 2*f = -f - 18 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-1\/28)*k**19)\/((k\/k**(-6\/19))\/(k\/k**(-1\/6)*k)))**(2\/35) assuming k is positive.\nAnswer: k**(6667\/5586)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 9:38 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*m + 21 + 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/10 in -1, 5, 76, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s + 7*s + 2*s)*(797*s - 797*s - 30*s**3) as i*s**4 + o*s**2 + m + x*s**3 + v*s and give i.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 t when four letters picked without replacement from {m: 6, t: 6}?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 430067.34ns to hours.\nAnswer: 0.00000011946315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 69823051 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + -24. Let n(t) = -2*t**p + 3*t**2 - 2*t**2. Let r(u) = -210*u**2 - 60*u. Let g(b) = -4*b**2 - b. Let a(h) = 60*g(h) - r(h). Determine a(n(m)).\nAnswer: -30*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 14 = -2*o, -3*o + 0*o + 15 = 3*s. Suppose -4*v + 3*i - i = 12, -v - 4 = -i. Which is the nearest to v? (a) -1 (b) 5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31290516?\nAnswer: 2, 3, 289727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2. Let g(k) = -2*k**2 - 813. Determine l(g(m)).\nAnswer: -4*m**4 - 3252*m**2 - 660969","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -114257*m**3 + 2*m**2 + 2431394.\nAnswer: -685542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2470.9887 minutes to days.\nAnswer: 1.715964375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 6. Let l = -2 + 2.28. Let t = l + 5.72. Which is the nearest to f? (a) t (b) 0.5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**2 - 2*m - 4. Let l(k) = -4 - 3*k + 4*k - k**2 + 7. Let g be 54\/4 + 1\/2*1. Let p = -18 + g. Determine p*l(z) - 3*o(z).\nAnswer: -2*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2471*p - 1399*p - 1279*p)*(3*p**2 + 2*p - 2*p)*(-3 + 5 - 3).\nAnswer: 621*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**11*n*n**(-15))**44 assuming n is positive.\nAnswer: n**(-132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15.467 + -0.033. Let l = -15 - q. Let k = -1633\/15 - -109. Which is the third biggest value? (a) l (b) -4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - p - 15 = 0. Is (p - (-20)\/5)*829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in -389, 1\/7, 5\/6?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31312 (base 5) to base 13.\nAnswer: -c42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 0 + -1 + 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 13455.058 to the nearest 10.\nAnswer: 13460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r + 11. Let h be k(6). Let n(a) = -2*a - 9. Let t be n(h). Find the third derivative of t*m**2 - 7*m**3 + 2*m**3 - 4*m**3 + m**3 wrt m.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -222465152 at least as big as -222465152?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/114*(-24)\/300*15?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-1 + 1 + (-2 - -1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5064, -10170, -15322, -20520, -25764?\nAnswer: -31054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0 (b) 32347 (c) -8.4 (d) 2\/11 (e) -2\/11 (f) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 + 276 + 5*v + 0*v + 1740 - 4*v**2.\nAnswer: -2*v**2 + 5*v + 2016","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-3)*o*o*o**(-5\/2)\/o assuming o is positive.\nAnswer: o**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -l, -5*v + 2*l + 16 = -v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-2)*(-20)\/8. What is the third smallest value in 0.3, 2, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 9*w**2 + 11*w - 98. Give f(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22216.6 - 22217. Let j = -0.2 - -1.2. Which is the nearest to j? (a) -2 (b) s (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*m*u**2 - 380*m*u + 795*u**4 + 7*u wrt u.\nAnswer: -10*m + 9540*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 3192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 548453 > 548563?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 12 = -2*k. Suppose 0 = c + k*c - 16. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -440.6 + 453.274. What is l rounded to 1 decimal place?\nAnswer: 12.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + l - 12 - 169 = 0, -l = -5. What is the highest common divisor of 16 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of 1\/10*i**5 - 1\/6*i**3 - 2 + 0*i + 0*i**2 - 1\/8*i**4 + 1\/12*i**6. Determine s so that p(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1862 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 611508?\nAnswer: 2, 3, 131, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 479735799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -17*f + 19*f. Let r(i) = 3*i - 12. Let k = -5 + 14. Let m be r(k). What is the greatest common divisor of m and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 204 and 246.\nAnswer: 8364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5896 - 5066. Calculate the lowest common multiple of a and 166.\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 31, 2, -39, -98, -181, -294, -443?\n\"Answer: -z**3 - 22*z + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/2 equal to 3\/389?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -106*(-2)\/120 + (-26)\/(-65). Let x = 4.87 + 0.13. Let n = -4.7 + x. What is the smallest value in b, n, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -c**5\/15 - c**4\/9 + 4*c**3\/9 + 11*c. Find u such that t(u) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -36, -3, 77.649?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, w: 3, b: 1, j: 1, y: 1}. Give prob of picking 1 y, 1 w, 1 b, and 1 j.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1792124 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**2 + 0*z**2 - 3*z**2)*(972 - 451 - 486)*(3 + 2*z - 3).\nAnswer: -420*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -5*f**2 + 2*f + 33. Let u = -172 - -164. Let o be y(u). Is -302 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - t + 18 = 7*k, 2*k + 4*t - 12 = -0*k for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.4 + 9.486. Round o to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 34938 + 70?\nAnswer: 35008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -5*w**4\/36 + 20*w**3\/9 - 40*w**2\/3 - 12*w. Factor q(s).\nAnswer: -5*(s - 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 413945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 11*k**2 - 6*k + 5. What is the remainder when c(6) is divided by 106\/3 + (-1160)\/(-435)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3677*v**2*z**3 - 38*v**2*z**2 + 2*v**2 - 21*v*z**3 - 102*v*z**2 + 2*v*z - 4*v + 2*z wrt v?\nAnswer: -7354*z**3 - 76*z**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*v - 14*v**2 + 894 - 894 in the form y*v**2 + l + r*v and give y.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 250 + -490. Let t be (4 - q\/9)*6\/4. Suppose 6*j - 2 = t. Which is the nearest to 1\/2? (a) j (b) 1\/2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 139206 and 27?\nAnswer: 1252854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 27\/4 of a minute?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97016.\nAnswer: 2, 67, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -200371*r**3 - 106153.\nAnswer: -601113*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15 + 853?\nAnswer: 868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xfo when three letters picked without replacement from {f: 2, o: 1, x: 1, h: 3, m: 3}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*l**4*z**3 - 4*l**4 - 6*z**3 wrt l.\nAnswer: 92*l**3*z**3 - 16*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -487, -982, -1485, -1996?\nAnswer: -2515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -85, -116, -195, -346, -593, -960, -1471?\n\"Answer: -4*b**3 - 3*b - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + c = 0. Suppose 9*b + 2*p = 7*b + 6, 10 = 4*b + 3*p. Put b, c, -1 in descending order.\nAnswer: b, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -637\/5 - -128. Are i and -2\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 64\/24*(1\/(-4) + 1). What is the derivative of 0*h**2 - h**2 + 5 - 3*h**2 + 24*h**i wrt h?\nAnswer: 40*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 4 + (-200)\/(-4). Suppose -o = o - r. Is 9 a factor of (o\/(-8))\/((-14)\/56)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2. Let s(f) be the third derivative of f**7\/2520 + f**5\/15 - 4*f**2. Let z(t) be the third derivative of s(t). Determine z(p(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 54*i + 4067 = 0. Suppose -4*u - 5*v + 50 = 0, -5*u + 9*v = 5*v - i. Calculate the remainder when 432 is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1594056540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 + -37. Let o = 341 - 235. Is o smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6318?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2*b - g - 53, -4*g + 22 = 2*b. Let m = b - 10. Find h such that h**2 + 4*h**m + 2*h**2 - h**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185668771 to the power of 1\/2, to the nearest integer?\nAnswer: 13626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -46, -7\/21045, 4?\nAnswer: -7\/21045","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 3 = 4*x. Let z be 0 - (x - -3)*-3. Suppose 2*m - z*m + 7 = 0. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + y**2 - y. Let j be q(0). Suppose -17 = -n - j*n. Is n a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000013827786 to seven dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45.5 + 45. Which is the second smallest value? (a) 0.4 (b) h (c) -2 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/15*(-6 + 11) + 320. Are h and 324 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*(-11)\/((-770)\/(-60))*(-1050)\/252?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30971563 to the nearest integer?\nAnswer: 5565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 6*r = 21. Let g(z) = -z**3 + 3*z + 3. Let a(p) = p**3 - 6*p**2 + 2*p + 5. Let i be a(5). Let h(b) = 2*b**3 - 10*b - 10. Determine i*g(s) + r*h(s).\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 32*g**2 + 705*g - 6. Give y(15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1358 + -1229.8. Round n to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 76 - 7 - 35 - 15*z - 34. Let s(m) = 10*m - 7. What is i(s(n))?\nAnswer: -150*n + 105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(660)\/(1*sqrt(108))*6)\/(-2*(sqrt(405) - 2*sqrt(405)) - (sqrt(405) + (sqrt(405) - -6*(sqrt(405) - sqrt(405)*-1)))).\nAnswer: -sqrt(11)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 5*c**2 - 14*c - 44. Is q(23) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3824714 is divided by 291.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3942, -15791, -35540, -63189, -98738?\nAnswer: -142187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247*o + 122*o + 3588 + 121*o + 6589.\nAnswer: -4*o + 10177","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3183 and 306?\nAnswer: 324666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) - (sqrt(27) + (sqrt(216)*1 + sqrt(216) - sqrt(216) - sqrt(216))\/sqrt(8))) + 4*(1 + sqrt(3) + 4).\nAnswer: 4*sqrt(3) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28084*i + 28084*i - 77*i**2 + (-2*i - i + i)*(i + 0*i - 3*i) + i**2 + 5 + 0 - 4.\nAnswer: -72*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 438464 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -1\/11 (b) -21\/20 (c) -41764\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -284 (b) 932 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 5*sqrt(35)\/sqrt(5))**2 + -5 + 6*sqrt(70)\/(sqrt(10)*1).\nAnswer: 6*sqrt(7) + 247","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 148781367 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/9, -0.44, -0.35, -802, 0.3?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*g + 2. Let d(p) = p**2 - 2*p + 2. Let a be d(g). Let 6 + 9*q - 14 - 3*q**3 + a = 0. Calculate q.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -0.5. Suppose 55*r = 56*r - 2. Which is the third biggest value? (a) r (b) h (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80595?\nAnswer: 3, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, 13, 88, 189, 316, 469, 648?\nAnswer: 853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wgrgygwgrrgrgg. What is prob of picking 1 y and 3 r?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 70 = -2*t, 0*b = 3*b - t - 105. What is the remainder when b is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 7*u**5 + 19*u**4 + 15*u**3 + u**2 - 4*u. Let v(z) = z. Let h(b) = -f(b) - 2*v(b). Let h(r) = 0. What is r?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**3\/2 - 33*f**2\/2 - 9*f\/2 + 297\/2 = 0.\nAnswer: -3, 3, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13245 and 25?\nAnswer: 66225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10\/21 + 92\/105. Let f = 223515.1 - 223515. What is the nearest to 0 in 2, f, s, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 87970?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 12:02 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32\/(-4) + 4 + 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19900846.\nAnswer: 2, 7, 17, 83617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from lllll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1711 - -0.04.\nAnswer: -0.1311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**12\/i*(i\/i**2)\/i)\/(i**(-2\/5)*i**15\/i) assuming i is positive.\nAnswer: i**(-23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 106654 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 55169*k - 2224. Is l(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -594*s + 533*s = -488. Solve 0 = -5*g - 2*a + 16, -7*a = -3*a + s for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-1\/13))\/x)\/(x**(-1\/29)\/x*x))\/(x\/(x*x*x\/(x**8\/x))*x*x*x)**(-22) assuming x is positive.\nAnswer: x**(66336\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 308 = -0*s. Let t(z) = -z**2 - 17*z - 70. Let l be t(-17). Let y = l + s. Solve -2 = -5*i + y*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -43573*(-10)\/40*4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, p: 1, n: 1, t: 1, b: 1}. Give prob of picking 1 b, 1 t, and 1 n.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**22)\/(h\/(h**(-1\/18)*h)))**(-5) assuming h is positive.\nAnswer: h**(-2065\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4*y + 7. Let b(p) = -p + 2. Suppose -6 = -7*v + 4*v. Let m be 0 - v*(-22)\/(-2). Let j be (-1)\/((-2)\/12 - 0). Determine j*o(q) + m*b(q).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27033 by -4.\nAnswer: 27033\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6121 - -1908. Let u = -2370 - s. Is u - (-2 + (2 - -2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 22. Suppose 5*j + t = 3. Let n = -30\/23 - -224\/207. Which is the second biggest value? (a) j (b) 5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2 + -5 - (-5 - -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 23*n - 22350 = 0. Is 30 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 20 = 11*g. Solve -g*r - 1 = -l - 13, -2*r + l = -6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 29\/2 of a millimeter?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 531 from -87.6.\nAnswer: -618.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 4 + 3)*(3 - 3*h - 3) + 2 - 2*h - 2)*(h**3 - h**2 - 3*h**3 - 3*h**2) in the form z*h**3 + w*h**2 + k + r*h + l*h**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/39991 and -34\/1421?\nAnswer: 279937","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -23*q - 68. Let l(g) = 4*g + 12. Let w(m) = -6*j(m) - 34*l(m). Let b(y) = -9*y. What is w(b(n))?\nAnswer: -18*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3883\/35 - 1395\/14. Calculate the common denominator of 109\/18 and v.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13522 + 5330?\nAnswer: 23252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/p**(-5\/2))\/p*p*p**(-10)*p*p*p*p*(p\/(p*p\/p**28)*p)\/p**(-31))**(4\/5) assuming p is positive.\nAnswer: p**46","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 136917 divided by -3\nAnswer: -45639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48*o**2 + 3*o**5 + 24*o**2 - o**5 + 26*o**2 wrt o?\nAnswer: 120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23468, 48029, 72590?\nAnswer: 97151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/12)\/((-60)\/400)*(-2)\/(-145).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, p: 2, i: 2, b: 5}. Give prob of picking 2 o and 2 b.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -26*g - 594. Let t be l(-24). What is the highest common divisor of 1455 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 357c87 (base 14) to base 4.\nAnswer: 12332012133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -11.48. Let y = c + -0.02. Sort -1, 1, y.\nAnswer: -1, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/12)\/((-98)\/21). Let v = i - 1\/7. Which is the closest to v? (a) 0 (b) -3 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14593851 + 66519.\nAnswer: 14660370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -11 - 1. What is the least common multiple of 11 and f?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -5*w. Let o(d) be the second derivative of -d**3\/3 - 2*d. Determine l(o(s)).\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0023234 rounded to 4 dps?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-21)\/(c\/c**37) assuming c is positive.\nAnswer: c**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 95 - 65 = 0. Does 16 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 8*o**2 + 43*o + 4. What is the remainder when t(11) is divided by 46?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 37*i**2 - 100*i - 280. Let t(d) = 60*d**2 - 166*d - 466. Let n(r) = -8*t(r) + 13*v(r). Give n(-23).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -199859049.\nAnswer: 799436196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*d**3*g**2 - 2*d**3*g + 2*d**3 - 25099*d**2*g**2 - 14*d*g + d - 28*g**2 - 822 wrt g?\nAnswer: -6*d**3 - 50198*d**2 - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/96 and -29\/36?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 70 + -60. Let a be (-4)\/16 + 17\/4. What is the highest common divisor of a and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*w**3 - 106*w**3 + 7 + 3 + 53388*w**2.\nAnswer: -128*w**3 + 53388*w**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + c - 6 = 0, 5*a + 234*c + 7 = 237*c for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1951204 + 12847194. Let s = h - 3399552155\/312. Let r = s + -5\/39. Calculate the common denominator of r and -13\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 8*d**2 + d + 9. Let v(q) = q**2 + q + 1. Let c(t) = -5*v(t) + z(t). Let l be c(1). What is the remainder when 39 is divided by (-2)\/l + 1170\/54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13061445*d + 2702415 wrt d?\nAnswer: 13061445","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9669 divided by 36712?\nAnswer: 9669\/36712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 164111727?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-1 + sqrt(684)*-3)*3)**2 + (sqrt(684) + 0)*-1*2.\nAnswer: 312*sqrt(19) + 55418","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -674*z**2 + 336*z**2 + 29*z**2 - 561*z**2 to the form t*z**2 + b + a*z and give t.\nAnswer: -870","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t - 70*t - 73 + 61*t + 73.\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1584) - (sqrt(1584) + 0) - (sqrt(1100) + (sqrt(1100)*-2 - sqrt(1100))) - (-5*(sqrt(99) - (sqrt(99) - (sqrt(99) + sqrt(99)*-1))))\/sqrt(9)))**2.\nAnswer: 158400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1406634?\nAnswer: 2, 3, 23, 10193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkknnnnnknnknunnnnnu. Give prob of sequence uu.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-0.8919\nAnswer: -0.08919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93.6670643 - -8.44.\nAnswer: 102.1070643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 2*o + 4. Let d be t(0). Suppose 0 = -3*j + d*y + 214, j - y = -2*j + 229. List the prime factors of j.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fv when two letters picked without replacement from {i: 1, f: 1, v: 13, p: 5}.\nAnswer: 13\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of j**6\/12 - j**4\/8 - 5. Let d(y) = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 5*k + 3. Suppose -c + 7 = -0*c. Suppose -3*f = -5*u + 65, 0*f = 2*u - 5*f - 45. Let d = u - c. Give a(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 35*f - 186. Solve -5*q + 15 = f*a, -2*q = -0*q + 4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-7))\/y**3)\/(y**(-5)\/y**5) assuming y is positive.\nAnswer: y**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18803229 is divided by 347.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1126248236?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*b**3*h*v**2 - 2*b**3*h + 6287*b**3*v**3 + 3*b**2*h*v**3 - 10957*b*h*v + b + 55*v**3 + 3*v**2 + 2 wrt v?\nAnswer: 37722*b**3 + 18*b**2*h + 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, l: 3, a: 1}. What is prob of sequence ga?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 39*t**2 - 103*t**2 + 30*t**2 + 40*t**2. Let b(d) = -2*d**2. Let f(h) = h**2. Let w(g) = 6*b(g) + 13*f(g). Determine i(w(p)).\nAnswer: 6*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5 = -7*l, -2*y = -l - 7. Let x(s) = s**2 - s + 5. Let t be x(0). Is t at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-72))\/((-665)\/245385)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 168 and 210?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.5 - -3. Let u = 97725\/2 - 48862. Sort u, -10\/7, b in decreasing order.\nAnswer: u, b, -10\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4861 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -29, -31?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 147172557*f**2 + 135107316?\nAnswer: 294345114*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -168, -3, 1 in ascending order.\nAnswer: -168, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 6*s - 31. Let y(n) = 3*n - 16. Let x(w) = 4*p(w) - 7*y(w). Let a be x(9). What is the highest common factor of a and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 812969.2867 from 2938.\nAnswer: -810031.2867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -1. Suppose 6*p - 5*p = -3*p. Solve j = -p*t - 4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -1052?\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 k, and 1 b when three letters picked without replacement from {b: 9, g: 2, u: 1, p: 3, k: 2, j: 1}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-56) - 33\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 12*f - 21. Suppose -4*r - 4*h - 4 + 32 = 0, 34 = 5*r + 4*h. Is p(r) a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17749\/195 - -3581\/39. Let 0 + d*s**2 + 64\/5*s = 0. Calculate s.\nAnswer: -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (297\/(-198)*(-6)\/(-549))\/(1\/4). Which is the closest to i? (a) 0.2 (b) 4 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k + 119*k - 206 = 557 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wxlllwlr. What is prob of picking 2 l, 1 x, and 1 r?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1402 + -454. List the prime factors of m.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -15 + 43 - 18*p + 54 + 41 - 21. Is 4 a factor of l(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 6535784*t. Let k(b) = -5*b**2. Determine z(k(l)).\nAnswer: -32678920*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b - 1. Let g(k) = -3*k + 0*k + k + 4*k. Determine -2*f(n) - 2*g(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q. Let p(s) = 19*s**2 - 25*s. Calculate p(v(f)).\nAnswer: 171*f**2 + 75*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -13*x - 3. Let l(i) = 2*i + 1. Calculate -2*l(v) - m(v).\nAnswer: 9*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 4:43 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 172 and 258?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10553 and -3.\nAnswer: -31659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(-110)*-10*17.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360496792 is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -26742 less than or equal to -26731?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 20 = 0, 0*d + d - 6750 = -2*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 4*w + 3. Let t be h(-5). Suppose -2 = -5*c + t. Solve 0 = -2*j + a + 7, c*j - 4*a - 1 = -3 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x = -10*x - 44. What is the highest common divisor of 5 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {f: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 5*k**3 - 4*k**2 - 12*k - 34. Calculate v(-4).\nAnswer: -370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9069*w**4 + 1004*w**2 - w wrt w.\nAnswer: -217656*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -8. Let g = s - -5.7. Let w = -0.7 + g. Sort 0.03, -3, w in descending order.\nAnswer: 0.03, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4801*k = 4815*k - 280. Solve -6*b = -b - k for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/13)*g**32 assuming g is positive.\nAnswer: g**(417\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2 = -0*t. Let u(x) = -x - 1 + x + t*x**2. Let m be u(-1). Solve 5*o + m = 16 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(975)*2)\/sqrt(3).\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -99 + 304 + 14*l - 141 - 174. Let p be w(8). Solve -2*r = -5*r + 4*m + 17, -4*m = -p*r + 14 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14, -26, -56, -110, -194, -314?\n\"Answer: -v**3 - 3*v**2 + 4*v - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 346 + r**3 - 346 - 425*r.\nAnswer: r**3 - 425*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hmamm. What is prob of picking 1 a, 1 h, and 2 m?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22945 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2155693.\nAnswer: 109, 19777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-7)\/2*4\/7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4837 - 4837 + 36*m**2 - 4*m**2.\nAnswer: 32*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - 0)\/4 + -21. Let z = -17 - r. Suppose -o - 6 + 8 = 0, 0 = z*w + o - 8. Solve d = w*t + 5 - 2, 5*d = -2*t + 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -6*w. Let v be t(2). Let k be (-6)\/4*v\/(-63). Let x = 41\/4 + -10. Which is the nearest to k? (a) -5 (b) x (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (-13 - (-10 - (8 - 15))) + 23 - -22.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04083 rounded to three decimal places?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 88847, 177698, 266547, 355394, 444239, 533082, 621923?\n\"Answer: -t**2 + 88854*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 1:03 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1548 - 1542.2. Which is the biggest value? (a) -5 (b) -4 (c) 2\/15 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 291*u**4 + 3*u**3 + 3*u**2 + 50242*u wrt u?\nAnswer: 3492*u**2 + 18*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4502 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 36*g - 32*g. Sort 1\/2, 0.4, g, 12 in ascending order.\nAnswer: g, 0.4, 1\/2, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-870)*3\/120*40\nAnswer: -1\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b + 14. What is u(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 163798379 divided by -6\nAnswer: -163798379\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 7:17 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m + 1. Let y be f(2). Let u be -1 - (2 + -3 - y). Factor 0*v**2 + 3*v**3 - v**2 - 2*v**u.\nAnswer: v**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 422\/27279 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 388 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 173*o - 178*o + 20. What is the smallest value in 1, o, 155?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -20*h - 2. Give j(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-360)\/(-25))\/24)\/(2\/(-40)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 15) to base 2\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4*i**2 + 22*i + 16. Let y be o(-8). Let x = y + -102. Is -3 + (-6)\/9 + (-2044)\/x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9253.9 + -9254. What is the nearest to -8 in h, 4\/5, -3\/29?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22813579 + 1.\nAnswer: 22813580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04451um in nanometers?\nAnswer: 44.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l**2 - 35*l - 191. What is c(-5)?\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, h: 19}. What is prob of sequence hhhd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-2 - -1 - -2). Suppose -3*y + 4*j + 14 - 3 = 0, h*j = -2*y + 15. Calculate the least common multiple of 7 and y.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11010110110011010 (base 2) to base 5\nAnswer: -12004403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.84 take away 0.3?\nAnswer: 7.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (2*sqrt(1008) + -3 - (-1 + sqrt(1008) + 4)))**2*3.\nAnswer: -360*sqrt(7) + 3099","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 88 + 87. Differentiate 21*l - n - 46*l + 66*l**2 + 25*l with respect to l.\nAnswer: 132*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -65.5 - -66. What is the second smallest value in -10, 0.3, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3272 = 2*l + 64*f - 60*f, 2*l + 3*f = 3269. Calculate the remainder when l is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwwlowoowvooo. Give prob of picking 1 l and 1 v.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -4a55?\nAnswer: -4a52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17370\/7 - 2476. Let g = 35639 + -35633. Which is smaller: o or g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 70\/22 + 24\/(-132). Let o be (-6)\/(-18)*21 - q. Let r(t) = t**3 - 3*t**2 - t. Let z be r(4). Calculate the highest common factor of o and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -55*x**3 - 3313010*x**2 - 49891972900*x - 27212817720 = 0.\nAnswer: -30118, -6\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of k**4\/8 + k**3\/2 - 4*k**2. Suppose 0 = 76*z + 24 - 100. Calculate y(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/27 - 7\/27. Let m be 12\/(-81)*(-21)\/14. Put y, m, 0.1 in increasing order.\nAnswer: y, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/3*(-38)\/399)\/(27984\/(-924))\nAnswer: 1\/106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 52*t**2 + 45. Calculate f(0).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8890 is divided by 931?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k + 20*k + 16*k - 10*k.\nAnswer: 23*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -0.02997463?\nAnswer: 0.002997463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0*n)\/n)**(1\/7)*(n*(n**(-3)*n*n)\/n)\/(n*n**(-5)) assuming n is positive.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1735965 by 104.\nAnswer: 1735965\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224*g = 253*g - 232. What is the lowest common multiple of 14290 and g?\nAnswer: 57160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 3287694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228 = -16*k + 132 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b + 15994?\nAnswer: 15987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -415*h + 414*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/435 and -47\/435?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n + 246 - 157 - 89.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 + 4*w**2 - 2*w**2)*(0 - 1 + 0) - 4 - 2*w**2 + 4 - 360*w + 359*w + 449 + 2*w**2 + 0 + 179.\nAnswer: -2*w**2 - w + 628","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 176\/(-18) + 2508\/(-6669) + 2\/13\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1853926?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 16 - 10 - 58*w**2 in the form o*w + u*w**2 + d and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 15, 23?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 24 = -n, n + g = 4*g - 11. Suppose n*q = -67 + 163. Is 8 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 282 and 11.\nAnswer: 3102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 7454187 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -240 or -722\/3?\nAnswer: -722\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-2) + (-6)\/(-12). Let l = -10\/1803 - -221869\/18030. Find the common denominator of l and (89\/t)\/(-1 - 49).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 2*s**2 + 4 + 158*s.\nAnswer: 2*s**2 + 158*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*c**3*y + 106*c**3 - 3*c*y**2 + 3*y**2 wrt y?\nAnswer: -3*c**3 - 6*c*y + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 3, d: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15483859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1080 and 44?\nAnswer: 11880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6740.\nAnswer: 2, 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -170.49 (b) -0.5 (c) -238\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, o: 5, v: 12}. Give prob of picking 2 o.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + (-110)\/75*-3*5 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -a**6\/120 + a**5\/60 - a**4\/24 - a**3\/6 - a**2\/2 + 12*a. Let m(o) be the first derivative of d(o). Calculate m(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1280185*g**2*t**2 + 19*g**2 - g - 1782 wrt t?\nAnswer: -2560370*g**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/27*(-1)\/(-5)*6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(-15) + 4\/6. Let l be (-4 - 0)*(d + 0). Let y be (-2)\/(-8) - (1 - 1). What is the closest to y in 1, l, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/35136 and 43\/2376.\nAnswer: 1159488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -747 - -749. Let u(i) = 2*i + 10. Let o be u(-5). Which is the fourth smallest value? (a) -16 (b) o (c) g (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21264*p - 21748*p + 41624 = 0 for p.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -89691, 0, 4\/3 in ascending order.\nAnswer: -89691, 0, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33.5 + 446.5. Let b = -432.1 + d. Let u = -15 - b. What is u rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -306 - -299. Which is the nearest to h? (a) -0.01 (b) 5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 18 = -5*a, -w + 4*a + 6 = -0*a. Suppose 8*l - 33 - 47 = 0. What is the least common multiple of l and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of o**5\/60 - o**4\/12 + o**3\/6 + 2*o**2 - 4*o. Let r(s) be the first derivative of n(s). Is r(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 233236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 11) in base 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 1:06 AM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0015244 to four decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {p: 1, f: 11}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 + 36 + 59)*(-209*l**2 + 70*l**3 + 209*l**2).\nAnswer: 7910*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (24192\/1440)\/((-2)\/(-110))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1408 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n + 2 - 2)*(-4 + 4 + 1) + 91*n - 92*n - 463*n - 323*n as i + o*n and give o.\nAnswer: -788","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3156)\/1052*((-13)\/(-5226))\/((-1)\/(-4))?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**6)**11*u**12\/((u\/u**(-1\/4))\/u))**(2\/15) assuming u is positive.\nAnswer: u**(71\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8006219 * -0.5.\nAnswer: 4003109.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10201122 - -11?\nAnswer: 10201210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*w - 36*w + 8*w**3 - 30*w**3 + 16*w + 2.\nAnswer: -22*w**3 - 33*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/14 + 2\/7. Let o(h) = h - 1. Let y(s) = 2*s - 4. Let x(d) = i*y(d) + 4*o(d). Let k(t) = -t. Determine -k(l) - x(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2584996 is divided by 940?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -174450, 5, 3\/20 in increasing order.\nAnswer: -174450, 3\/20, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -5\/4 (c) -146\/5 (d) 36\/11 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 20*u - 25*u - 14, 4*a + 15 = -3*u. Let c be -2 - ((-8)\/10)\/2. Which is smaller: u or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/26 + (-300)\/(-78). Suppose 94 = 3*k + d. What is the remainder when 87 is divided by k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14278)\/(-663927))\/(12\/(-9))?\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18939, -18933, -18931, -18933?\nAnswer: -18939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61 - 34. Let x be 75\/t + 4\/18. Differentiate -14*i**2 + 6*i**x + 6 + 14*i**2 wrt i.\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gvvv when four letters picked without replacement from {v: 7, h: 5, g: 8}?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 - 2605*r**2 + 10500*r.\nAnswer: -5*r*(r - 4)*(r + 525)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2909 - -2909.5. Let s = 5.923 + -0.023. Let i = -0.9 + s. What is the second smallest value in i, g, 0.051?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90501407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nc when two letters picked without replacement from {j: 1, g: 3, r: 2, c: 4, n: 6}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -262372 and -2.\nAnswer: 524744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 - 29 = -20*d - 18 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 59*v + 62*v + 62*v + 50*v + 62*v - 281*v.\nAnswer: 14*v + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3890 - -3889.278. Round n to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.69 (b) 22 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -4*j - 28, j + 242 - 214 = 4*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -5 (c) 2581 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-61 + 1 - -1)\/(-1). Let t = i + -9. Is 10 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -231 - 6?\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2105184626.\nAnswer: 2, 43, 24478891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 3\/4*o**4 - 122*o + 0*o**2 + 10\/3*o**3 - 127. What is the derivative of q(a) wrt a?\nAnswer: 9*a**2 + 20*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20526 - -10050?\nAnswer: -10446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - j**2 - 2*j**2. Let l be 2\/10 + 18\/10. Let y(d) = -7*d**l + 6*d**2 + 0*d**2. What is y(a(q))?\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 7*b + 4. Suppose 3*s - 20 = 10. List the prime factors of p(s).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1036.38 and 1454?\nAnswer: 1506896.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/(-216))\/(((-320)\/(-3))\/16).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8c0 (base 13) to base 8.\nAnswer: -2744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (6*(sqrt(68) - sqrt(17)))**2 + -2.\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16000254 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 6*a**2 + 5*a - 38. What is q(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 3765?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 7*b**3 - b**2 - b + 567. Let q = -2 - -5. Let t be x(q). Round t to the nearest 10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2965691, -2965761, -2965829, -2965895, -2965959?\n\"Answer: c**2 - 73*c - 2965619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1.62336 + -499.9\nAnswer: -501.52336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 34*h + 617. Calculate y(-18).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -18, -38, -60, -84, -110, -138, -168?\n\"Answer: -z**2 - 17*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21159 - -21158. Is i at least as big as -21\/928?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**3*g**5)\/(g\/(g*g**(-2\/7)\/g*g))**28 assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1099294 + 2?\nAnswer: 1.8900706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74 - -72. Let t(j) = j**3 + 2*j**2 - 3*j - 5. Let q be t(a). Let i(f) = f**2 + 0 + 7*f + q - f + 6. Calculate i(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42363 != 42362?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 1072*j - 12838. Calculate g(12).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 10 = 3*d - q, 4 = -d + q. Let b be 5\/(0 + d) + (21 - 21). Suppose c + 8 = 5*c. Solve -2*w + 4*j = c*w, -b*j - 18 = 4*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84194\/9 at least as big as 9356?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -7*x**3\/3 - 1570*x. Calculate j(-4).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 130445\/69316 + -22\/1333. Calculate the common denominator of 41\/104 and g.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/5*1*1416\/(-3540).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -3, 4 in descending order.\nAnswer: 4, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253*w - 2427 = 862 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 5*g - 48 = -4*l, -g = l - 12. Let r = -200 + 210. Calculate the smallest common multiple of 7 and ((-4)\/r)\/(l\/(-30)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -8, -3\/8, -69\/5 in increasing order.\nAnswer: -69\/5, -8, -6, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*u + 3 = -7, 13 = -5*z - 2*u. Let h be (1 + 0)\/((-3)\/(-6)). What is the remainder when 5 is divided by 3 + (-1 - z)\/h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**3*u**3 + 392*j**3*u**2 - 16*j**3*u - 2*j**3 + 9*j*u + 393*u**3 + 9*u wrt u?\nAnswer: 6*j**3*u + 784*j**3 + 2358*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 143 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 29\/2 of a tonne?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56633135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 2, -37, -859?\nAnswer: -859","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (20\/15)\/(4\/168 - 0). Suppose d = 2*a + 3*z, z + 20 = 4*a - 92. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 1 (c) 0.5 (d) -907\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**3 - 148*b**2 - 177*b - 356. List the prime factors of a(76).\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -c**2\/2 - 3*c. Let y = 0 + 1. Let z(m) = -m - 23 + 23. What is y*z(w) - g(w)?\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1354 = -49*w + 53*w - 3902. Calculate the highest common factor of w and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 6*o - 23. Determine x(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 2738646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, k: 2, j: 4, m: 1, l: 2, g: 6}. Give prob of sequence ggmg.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/3 + 73344*m - 220031\/3.\nAnswer: -(m - 220031)*(m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -72*o**3 + 36*o**2 - o - 54911 wrt o.\nAnswer: -432*o + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13744, -27489, -41232, -54973, -68712, -82449?\nAnswer: -96184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5*q = -2 + 1, -4*q + 7 = 5*y. Let h be (-1)\/y - (-20)\/6. Solve 7 = -2*n - h for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7137682493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(1 + -1 + 1). What is the first derivative of 2*v**4 - 1 + h*v**2 + 0*v**2 wrt v?\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -135*b**2. Let p(t) = -5*t. Give p(w(g)).\nAnswer: 675*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039905044 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qrxqxxpqpquqqrxqp. Give prob of sequence rrqq.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1323995.\nAnswer: 5, 23, 29, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 102 - 241. Round p to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 3. Suppose f = -3*t - 4*l, 0 = -2*t + 2*l + 11 + 3. Factor m**t - m**3 + 0*m**2 + 2*m**5 - m**3 - m**2.\nAnswer: m**2*(m - 1)*(m + 1)*(2*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.154 + -149.\nAnswer: -149.154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 17 = -5, 2*j = -5*f - 310. Let w = 167 + j. Factor 3\/4*l + 9\/8 - 3\/8*l**w.\nAnswer: -3*(l - 3)*(l + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7148 - -7143. Which is the closest to 0? (a) -2\/9 (b) -1.2 (c) 1\/8 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2 + 72*y - 1600. Let q(l) = 12*l**2 + 431*l - 9600. Let p(x) = 4*q(x) - 23*s(x). Determine d, given that p(d) = 0.\nAnswer: -50, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 10 + 12*k**2 + 6 - 3.\nAnswer: 12*k**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j + 5, -j + 12 - 9 = -4*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f + 2412 = 2316 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-0.151\nAnswer: -0.0302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/136 and ((80\/16)\/((-70)\/(-7)))\/(952\/(-58)).\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 912023 is divided by 456007?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f + 8. Let u = -420 - -420. Suppose -5*h - v - 15 = -5*v, u = -h - 4*v - 27. Determine m(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 54?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + (3 + sqrt(1300) + 2 + sqrt(1300) - 4*(sqrt(1300) + -1)))*5)**2.\nAnswer: -32000*sqrt(13) + 526400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**3 + 7*a**2 + 6*a + 6. Let f = 177 - 176. Let r(v) = -v**2 - v - 1. Calculate f*j(q) + 6*r(q).\nAnswer: 2*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114119 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 226729*c**3 - 5*c**2 + 1032*c + 21?\nAnswer: 1360374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*w = 51*w - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + -10 + -13 + 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)*2)\/sqrt(7) + -3 + (sqrt(13)*2)**2.\nAnswer: 2*sqrt(13) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3 - 66*p**3 - 74*p**3 + 0 + 3*p**2 - 68*p**3 + 201*p**3. Let g(o) = -6*o**3 + 2*o**2 + 2. What is 6*g(w) - 4*t(w)?\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**3 - 3*i**2 + 3*i - 2. Let k(l) = l + 18. Let c be k(-15). Suppose -7*h + 2*h - c*v + 1 = 0, -2*h = -4*v - 16. Does 4 divide n(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2253849 is divided by 3054?\nAnswer: 3051","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 809.\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9 - (-1 - -3 - 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*(sqrt(720) - (1 + sqrt(720))))**2 - (-1 + sqrt(720))*-4) + 2)*-2.\nAnswer: -96*sqrt(5) - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*a + 5*a - 40, -p - 4*a + 11 = 0. Calculate the remainder when p is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4149 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17623*-1329.\nAnswer: -23420967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -275 times -0.486\nAnswer: 133.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**2 + s**2 - 608*s - 7*s**4 - 1 - 2 - 602*s + 1206*s in the form z*s**2 + w*s**4 + x*s**3 + m + l*s and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 30 = 6*r - r, 4 = 2*r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20199.\nAnswer: 3, 6733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c6 + -3c06?\nAnswer: -3ccc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 572677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.3 less than -1.04?\nAnswer: 4.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-204)\/(-34))\/(27*32\/336)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 8:24 AM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/5 and 26 + -24 + 11\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4324 + 11621. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + sqrt(1377) + sqrt(1377)*5 - sqrt(1377))*-6.\nAnswer: -324*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 4*x - 9. Give m(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 860 divide 918480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-177973)\/(-117334) + (-24)\/272.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*r + 4*r = 0. Suppose -2*b - 2078 = -2*d, r*d - b = 2*d - 2090. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 31688, 31690, 31692, 31694, 31696?\n\"Answer: 2*w + 31686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 4:45 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**2 - 36*p - 118. Give x(-15).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-21)*(-252)\/(-56)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11033413 (base 7) to base 11\nAnswer: 599520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -389 - -385. Put 1\/2, 18\/11, s in descending order.\nAnswer: 18\/11, 1\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(2\/4*-4). Put o, 0, -3 in decreasing order.\nAnswer: o, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w = -19*w + 12. Solve 0 = -w*t + 7*t - 20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 2:06 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.58634 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i**2 - 4*i - 2. Let m(a) = -a - 1. Let c be m(-5). Suppose -c*w - w = 10. What is y(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5606 is divided by 51.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 + -33.8. Let j = l + -3. Is 2\/13 at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1216744 by 293.\nAnswer: -1216744\/293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 0 + 0*t + 1 + 2*t. Let i be f(1). Solve 0 = c - i*c - 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -515*k + 2565. What is g(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xbaibx. Give prob of picking 2 x, 1 a, and 1 i.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -27654, -27657, -27660, -27663?\n\"Answer: -3*d - 27651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -20. Let q(f) = -f**3 + 5*f**2 + f - 1. Determine q(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 6) in base 3?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -0.01, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30963 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3173*v**3 + 177*v**2 + v + 1199983 wrt v?\nAnswer: 9519*v**2 + 354*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 103*a + 137*a + 79*a - 569*a + 116*a + 4 to the form g*a + x and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(225)\/sqrt(5)*-3)**2 + (5 + sqrt(20)\/sqrt(4) + sqrt(5) + -5)**2.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 4*l - l**3)*(11*l - 3*l + 4*l) + 8*l**4 - l**2 - 7*l**4 - 3*l**2.\nAnswer: -11*l**4 - 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10486536761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.4 and -20223 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 156*c - 9639. What is h(62)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 - -30. Let w(u) = u**2 + 5*u - 2. List the prime factors of w(z).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*c = i - 18*c + 5, 3*i + 5*c + 15 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 13*v - 11. Let u be h(-10). Suppose -2*c = 14 - 32. Let b be (-1)\/(-3)*1*c. Solve 0*s - u = -4*s - b*k, 1 = -s + 5*k for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of w**8\/4200 - w**7\/700 + w**6\/300 - w**5\/300 + 26*w**3\/3 - w + 8. Let h(j) be the second derivative of p(j). Factor h(o).\nAnswer: 2*o*(o - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 26*t**2 - 152*t + 112. Give q(-31).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 153851881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/4, 4\/5, -2220, -13, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-20) + (-6)\/(-30).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 562364216 to the nearest integer?\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**3 + 6*n**2 + 2*n + 2. Let i(g) = g**3 - 5*g**2 - 2*g - 2. Determine -5*d(x) - 6*i(x).\nAnswer: 4*x**3 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1716 and -151.079518.\nAnswer: -151.251118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 + -0.2. Let y(x) = -x**3 - 4*x**2 + 44*x - 11. Let j be y(-9). What is the nearest to 2 in n, j, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of 0 + 0*j + 1\/300*j**5 + 1\/15*j**3 - 1\/40*j**4 + 2*j**2. Let v(g) = 0. What is g?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.652884ug to kilograms.\nAnswer: 0.000000007652884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-2) + -2 - -2. Suppose 5*p + t*n + 49 = 2*n, -5*p = 5*n + 70. Let i(w) = 2*w. Let v(k) = 5 + 1 - 10*k + 9 - 16. Calculate p*i(o) - 2*v(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqyqcydnndrqqc. Give prob of sequence cdy.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4864111*j**3*k**2 - 391*j**3 - 44*j**2*k**2 + 2*j**2 - 73321 wrt k?\nAnswer: 9728222*j**3*k - 88*j**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18.68 - 16.4. Let m = k - 3.28. Let g = -8 - -8. What is the closest to m in -3\/2, g, 2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 7*l - 8*l. Is 23 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 310113 + 32?\nAnswer: 310211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27205 - -135451\/5. Which is bigger: -115 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/14)\/((6\/(-7))\/(-2)). Determine u, given that q*u - 2\/3*u**2 + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t + 130 = 6*f - 7*f, -4*t = -76 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3888134792?\nAnswer: 2, 486016849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 - 0\/1) + -1. Let t(u) = -u**2 - 6*u - 7. Calculate t(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -7 + 290\/35\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2598*d + 92. Let k(t) = 33*t**2. Determine a(k(i)).\nAnswer: 85734*i**2 + 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 404 - 9*v + 2*v**3 + 20*v - 406. Let s(a) = 1. Calculate -c(q) - 2*s(q).\nAnswer: -2*q**3 - 11*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, j: 15, s: 2}. Give prob of picking 2 s and 1 j.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 + 1. Suppose b*n - 30*n = 34. Solve 3*k - n = 5*z, 0 = 4*k + 5*z - 12 + 1 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2253*v - 673*v - 1001*v - 3600 = 979*v for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 53*o + 5. Let p(n) = n**2 + 105*n + 11. Determine -7*j(m) + 3*p(m).\nAnswer: 3*m**2 - 56*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -206.\nAnswer: 5\/206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40\/3*w + 0*w**3 - 10*w**2 - 5 + 5\/3*w**4 = 0 for w.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3776989623.9999893 - 3776989797. Let o = c + 173. Round o to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11636 (base 13) to base 5\nAnswer: 2004232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4 = -5*y. Suppose -c + 38 = y. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 0)\/(8\/(-16)). Suppose 3*b - b = -h. Let t be ((-3)\/b)\/((-2)\/2). Let i(k) = -k**2 + 2*k - 2. Let a(r) = -r**2 + 3*r - 3. Give t*i(d) + 2*a(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212124613.\nAnswer: 67, 3166039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2565 minus -121366192938?\nAnswer: 121366195503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1358 - 1358 + 80*v + 5*v**2.\nAnswer: 5*v**2 + 80*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 - 3394*t - 30870.\nAnswer: 2*(t + 9)*(2*t - 1715)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = b + 60, 3*k + 36 = 6*k - 4*b. Let n = -3 + 4. Let w(f) = -f + 1. Let u(i) = 10*i - 14. What is k*w(v) + n*u(v)?\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 9:25 AM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p**4\/2 - 13*p**3\/2 + 31*p**2\/2 + 117*p\/2 - 180 = 0. Calculate p.\nAnswer: -3, 3, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 1) + (1 - 1). Let x(v) = v. Let z(l) = l**2 + 5*l + 1. Let o(a) = n*z(a) - 2*x(a). Is o(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -0.3, 2\/53, 0.36, -4 in ascending order.\nAnswer: -4, -0.3, 2\/53, 1\/5, 0.36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 927 and 324?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 5*u + u)*(-3 + 0 + 4)*(u**2 + u**2 - 3*u**2).\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n + 23*n**2 + 2*n + 12*n**2 - 3*n + 5*n in the form x*n**2 + o + q*n and give x.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110100101000110 - 10101010001?\nAnswer: -1110111010010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14 + 3 - 55\/(-11). Let n = x - 27. Put -3, n, -4, 3 in ascending order.\nAnswer: n, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.667 - 2.68. Let z = x + -2. Round z to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 4*r - 21, 3*r = 5*g + 2*r - 42. What is the remainder when 89 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and 1663314161.\nAnswer: 1663314157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -9*w + 114. Let n be d(5). Calculate the remainder when ((-46)\/n)\/((-2)\/201) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 1 - 6*z**3 - 9.\nAnswer: -6*z**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1292823+-137652\nAnswer: 1155171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 220\/(-44)*(-1)\/(15\/18).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 5:46 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 120101210?\nAnswer: -120101202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 15*q**2 - 5. Suppose 36 + 8 = -4*i. Let p(d) = 3*d**2 - 1. Let f(o) = i*p(o) + 2*g(o). What is f(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -184.5 and -0.047.\nAnswer: 8.6715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3212 (base 7) to base 8.\nAnswer: -2160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.249023l to millilitres.\nAnswer: 249.023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -47 (c) 0.3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a - 4*a + 5 = -3*b, 4*b - 28 = 2*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10176 - 9846. Calculate the lowest common multiple of r and 110.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14538 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**2 + 2*b - 1. Let x be l(2). Let h = x + 45. Calculate the greatest common factor of h and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -478\/3 - -160. Which is the second biggest value? (a) 62\/5 (b) 0 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13975 is divided by 1322.\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 77601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t + 45. Let w be n(-23). Suppose -3*f + 2*q - 7 = 0, -3*f - 27 = 2*q + q. Let i = 64 + -67. Sort w, i, f in decreasing order.\nAnswer: w, i, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(3*4\/24). Let l be (4 + r\/(-8))\/1. Factor -3\/4*h**5 - l*h**3 + 0 - 3*h**2 - 3\/4*h - 3*h**4.\nAnswer: -3*h*(h + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -12472392\nAnswer: -1\/4157464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*y - j, 15 = 5*j - 2*j. Let u be (5\/5)\/(y\/(-5)). Let s(i) = -i**2 - 1 + 2 - 4*i - 8 + 10*i. Give s(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -387, -1538, -3451, -6120, -9539, -13702, -18603?\n\"Answer: g**3 - 387*g**2 + 3*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + -4*1*sqrt(187) + -3*(sqrt(187)*-2 + sqrt(187)))\/(sqrt(55)\/(sqrt(5) + 2*sqrt(125)))*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1205 + 1208. Let h(g) be the second derivative of 1\/6*g**l - 2\/3*g**4 - 9*g + 1\/2*g**2 + 0. Calculate h(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 67.2034 tonnes?\nAnswer: 67203400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -x**3\/3 + 3*x**2 - 4*x - 9. Let b be l(1). Suppose b = 6*u + 19. Which is smaller: u or 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 2 - -21) + (-164 - -141) + 17 + -1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 16*l - 17. What is t(11)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9361591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1548861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p + 8. Let c be (2 - 8)\/((-2)\/16). Suppose 0 = 5*f + 2*z - 80, 0 = -0*f - 2*f - 4*z + c. What is the remainder when j(9) is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 16*j + 2. Let o(z) = -19*z - 2. Let d(m) = -6*c(m) - 5*o(m). Let u(g) = 70. Let v(f) = -35*d(f) - u(f). Let h(b) = 3*b**2. Calculate v(h(p)).\nAnswer: 105*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 0*k - 4 = 0, -5*h + 20 = -5*k. Suppose -h = t - 41. Let n(l) = 2*l**2 + 70*l + 1. Calculate the remainder when n(-36) is divided by t.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 403930 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) -13 (c) 3\/7 (d) -14 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**2\/l*l)\/(l\/l**(2\/15)*l))**14)**(-1\/15) assuming l is positive.\nAnswer: l**(-28\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - d**2 - 3*d - 66. What is t(4)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(66) - -1*sqrt(66) - sqrt(66)) + sqrt(66) - sqrt(66))\/sqrt(11))\/(2*sqrt(8)))**2.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104536 + 109882 = 54*d for d.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -935023 take away 0.1603?\nAnswer: -935023.1603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 3*p + 9, 5*p + 4*b = 148 - 127 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 407*l**2 - 137*l**2 - 144*l**2 - 137*l**2. Let w(y) = 3*y**2 + 2*y**2 + y**2. What is w(s(q))?\nAnswer: 726*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 0)\/(25\/(-9350)). What is the highest common divisor of 34 and r?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 427223 to the nearest integer?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*i - 184, 4*i + 5*n = -0*n + 372. Let p be ((-4)\/(-5))\/((-6)\/15). Calculate the least common multiple of p*(i\/4)\/(-7) and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 18 + -76 + 61.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 29612827?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -37*z**2 - 1891*z - 187. Determine y(-51).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 198692 + -37?\nAnswer: 198655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4059 is divided by 719?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 19*g**3 + g**2. Let b be (-7)\/(-6) - 2\/12. Is 19 a factor of o(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 331, 640, 949, 1258, 1567?\nAnswer: 1876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 606760 and 2730420.\nAnswer: 5460840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 635 is divided by (35\/14)\/((-9)\/1080*-25).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*f - 24, 8*f - 3*f + 6 = -h. Let a(w) = -6*w**2 - 2*w + w**3 - 5 - 15*w**2 + 27*w**2. Is a(h) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 129\/206 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v - 2. Let h be k(-2). Let o = 8 + -7.8. What is the third biggest value in -2\/7, o, h?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-11 - -1 - (475\/19)\/(-1 + 0))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p**2 - 9*p**2 + 3*p**2)*(4 - 9 + 4) - 24*p + 72*p**2 + 47*p - 23*p to t*p**2 + d*p + b and give t.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 175054 + -57741. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -113, 4, -2, -1\/6, -4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2878733*p**4 - 2*p**3 + 7752888*p wrt p?\nAnswer: -34544796*p**2 - 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 399 and 7050159?\nAnswer: 49351113","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 911*t + 101967 + 32280 = -1219*t + 2187 for t.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 4*a + 47, 0 + 1 = x - 5*a. Suppose -3*s + 210 = 5*i, -2*i + 70 = 58*s - 54*s. Calculate the least common multiple of x and i.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 35 - 626158?\nAnswer: -626123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(17) + -1)*-6*4)**2.\nAnswer: 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2 + 1 + i**2 - i**2 + 3*i**2 + 3*i - i**3. Let l(h) = -3*h**3 + 8*h**2 + 8*h + 8. Calculate -8*c(b) + 3*l(b).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18451, 17682, 16913, 16144, 15375?\nAnswer: 14606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.09 + -0.41. What is the third biggest value in t, -5, 1, -0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1624, -2103, -2902, -4021, -5460, -7219, -9298?\n\"Answer: -160*o**2 + o - 1465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/455 and 37\/49.\nAnswer: 3185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 401 a factor of 25967557?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*d = 19*d + 8*o + 71 + 35, -3*d + 2*o + 39 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 55.0385 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 109, 185, 201, 127, -67, -411, -935, -1669?\n\"Answer: -5*l**3 + 111*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 69977 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = f + 3*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5\/7*d - 6\/7*d**3 + 6\/7 + 2\/7*d**4 + 1\/7*d**5 - 8\/7*d**2 = 0 for d.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 46594*y + 1817175. Determine a(-39).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 16\/5439?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -p**6\/540 - p**5\/45 + p**4\/108 + 2*p**3\/9 + 99*p**2 - p. Factor g(a).\nAnswer: -2*(a - 1)*(a + 1)*(a + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/9, 53, 3\/7.\nAnswer: 3\/7, 5\/9, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3106476 is divided by 133.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 10*s - 3. Let v be d(-10). Let h(a) = -a**3 - 2*a**2 + a - 2. Let b be h(v). Let l be (1 + 0)*3 + -1. Put 3, l, b in decreasing order.\nAnswer: b, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 724 a factor of 1077312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 187 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3502 divided by 103?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78368, 78412, 78488, 78596, 78736, 78908?\nAnswer: 79112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*i - 23 - 33, 4*i = 3*g + 107. What is the remainder when 101 is divided by i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of r**4\/12 + 8*r**3\/3 + 32*r**2 - 232*r. Calculate the lowest common multiple of p(-6) and 358.\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22335591 and 409457?\nAnswer: 5767","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -3 - (6 - (2 + -6 + -1))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299276423 is divided by 7175.\nAnswer: 7173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - s - 60. Let p(w) = w**3 + 2*w + 60. Let a(q) = -3*k(q) - 2*p(q). Does 9 divide a(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 4 + 4*(sqrt(612) - (0 + sqrt(612))) + 3 + (1 + sqrt(612))*-2)*-5)**2*6.\nAnswer: -3600*sqrt(17) + 367350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 6*b - 2*g + 6 = 0, -5*g = -15 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((1 - 1) + -1)*-19. Suppose 116*s = 8568 + 248. What is the greatest common factor of s and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of s**4\/3 - s**3\/3 + 9*s**2 - 4640*s. Let n(k) = 17*k**2 - 9*k + 73. Determine -2*n(c) + 9*w(c).\nAnswer: 2*c**2 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30*1*-3*17\/(-1020)*8?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27327 is divided by 355.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by ((-130)\/15 - -9)*(-1 + 43)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 3\/19, 5, 0.3?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -v**7\/3360 + v**6\/288 - v**5\/120 - 5*v**3\/3 + 10*v**2. Let s(u) be the first derivative of r(u). Factor s(p).\nAnswer: -p*(p - 4)*(p - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 4*t = -2*x - 1, -2*t = -5*x - 17. Suppose 2*k = -4*p - 10, 5*k = 4 + t. Which is the second biggest value? (a) 0 (b) -5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4275 and 6525.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 2. Suppose -4 = 4*t + 4. Which is the nearest to -2? (a) 2 (b) l (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/21 + 172\/6. Let p = j - 14. What is the greatest common factor of p and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 120965843?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/3 - (-66)\/(-8) and (1*2\/2)\/((-60)\/(-159)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2041 - -2038. Which is the second smallest value? (a) -4 (b) -1 (c) u (d) 16 (e) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -139950.89416 to the nearest integer.\nAnswer: -139951","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u**2 - 1571*u + 14005. Give q(9).\nAnswer: -458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 divided by -9?\nAnswer: -62\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 4*x. Let s be (-4)\/(-4 - x) - -1. Solve -s*u + 9 = u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67978 + 13614 = 14*q. Is 31 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.9719 + 0.9019. Put l, 0.3, 14\/19 in decreasing order.\nAnswer: 14\/19, 0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1349141044*z + 2*z**2 + 1349141044*z.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 2*q - 2*q)*(-4 + 3 + 5)*(-23*q**3 - 24*q**3 + 7*q**3).\nAnswer: -160*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 92.2 + -92. What is the third smallest value in 2\/13, k, -5\/8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 677*h + 91280 = -627*h for h.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2560.019 - 2560. Which is the closest to 1? (a) -1\/6 (b) -1\/3 (c) 2\/3 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/9 + 94*a**2\/9 - 20*a.\nAnswer: -2*a*(a - 45)*(a - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 38734366709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -600020790 divided by 15?\nAnswer: -40001386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/42 + 3*164\/126. Solve -4*j = -0*i + 4*i - 12, -f*j = -4*i + 28 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/(880\/20)*((-2)\/(-7))\/2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-20)*5\/8. What is the nearest to o in -4, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/2)\/(3\/(-45)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125)*-3 + 1 + 2.\nAnswer: -15*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1151285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 492\/756 + 3\/(-7).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007836305 rounded to 6 decimal places?\nAnswer: 0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20286 a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -13*h**2 - 9*h + 9. Let s(m) = 3*m**2 + 2*m - 2. Let p(g) = -18*s(g) - 4*w(g). Let x(c) = 315*c**2. Determine p(x(i)).\nAnswer: -198450*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2635.002422 + -2635. Round m to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/4 - -2)*-2. Let b be (-6)\/15 - (-24)\/10. Sort i, -2, b.\nAnswer: -2, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4\/57 - 24\/19. Let h = -135.4 - -138.4. Which is the smallest value? (a) -1\/5 (b) -0.3 (c) m (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 776860 to the power of 1\/3, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*y + 7*y - y + 7*y to the form u + j*y and give j.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, c: 7}. Give prob of sequence cscs.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 7*n**2 + 10*n + 4. Let z(s) be the third derivative of 13*s**5\/60 + 19*s**4\/24 + 4*s**3\/3 + 2*s**2. Let k(o) = 11*j(o) - 6*z(o). Factor k(r).\nAnswer: -(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1787588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 20 = -3*g + 2*s, 0 = 3*g + 5*s + 8. Suppose 158 = 2*j - h, 0*j = 4*j + g*h - 328. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**4\/9 - 8*h**3\/3 - 32*h**2\/9 + 32*h\/3 + 160\/9 = 0.\nAnswer: -10, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - b - 22*b. Suppose -2*c + 3*c = 2449348. Suppose -y - 1750652 - c = b. What is y rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 529 + -114. Suppose 63569 + 16431 = 4*j - 4*n, -5*j + 100000 = -2*n. Let f be j\/(1 + (-414)\/y). Round f to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(693\/(-1760)))\/(262\/(-917))?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16003\/29060 + 1\/1453. Find the common denominator of f and (-2)\/(-8) + 206\/88.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 232*r**2 + 185*r - 230*r + 185*r - 140*r.\nAnswer: 232*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2*i - 2)*(3 + 3 - 7)*(24*i - 49*i + 26*i) to the form a*i**2 + t + v*i and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*x - 2*x**4 + 14 + 13*x + 2*x**3 - 12 to c*x**3 + p*x + s*x**4 + u*x**2 + h and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -n - 17 - 3, 4*n - 10 = -2*y. Let v = -21 - -31. Does 12 divide ((-34)\/y)\/((-2)\/v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 20*f**2 - 20*f + 13. Let k be l(-19). Let v(t) = t**3 + 5*t**2 - 6*t + 4. Let p be v(-6). Calculate the highest common divisor of k and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -6*m**2 + 13*m + 15. What is z(7)?\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 1708.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 1069 - 334. What is the remainder when g is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 19458 (b) -5\/3 (c) -13 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 94422072 - -2010013.\nAnswer: 96432085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.13 + 2.03. Let h be (-1)\/4 - (-10)\/8. Suppose -30 - 15 = 9*i. What is the nearest to v in -1, h, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-376)\/(-32) + (-4)\/(-16). What is the highest common divisor of 132 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + -2. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 37 + 20 = 5*v, -z + 60*v - 5 = 66*v for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 6*o - 4. Let h be x(7). Suppose 2*j + h*j = -2*v + 45, -2*j - 24 = -2*v. Suppose -3*t - 106 = -5*z, 4*t - v = -t. Is 23 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33499.26342 to the nearest ten.\nAnswer: -33500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-5))\/((-2)\/4). Which is the closest to 3\/8? (a) h (b) -2\/7 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = v + 14, -3*l + 16 = 3*v - 5*v. What is the second derivative of r + 0 + 15 + 162*r**5 + l*r**3 + 16 - r**3 - 2*r**3 wrt r?\nAnswer: 3240*r**3 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.042 - -0.041819. Round s to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27 in -0.024, 2\/3, 3, -0.006?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 + 39\/(-18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 177 - 114. Let d = -41 + t. Let h(j) = j**2 - j - 2. Calculate the lowest common multiple of h(3) and d.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011896 rounded to three dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2969 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -0.055?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 8*n - 19 = -2*s, n - 4*s = 17. Suppose -7 = 4*g - n*h, 11*g + h - 9 = 8*g. Is 56621\/82*(g + -1)*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41872?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72299 and 394.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 3*w + w**2)*(14 + 19 + 4).\nAnswer: 37*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -565 = -7*w - 663 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 289694428729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, -2, 5 in increasing order.\nAnswer: -2, 5, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 6*d**2 - 2*d. Suppose 0 = 3*x - 3*q - 84, 5*x = q + 2*q + 138. Let y = 22 - x. Give f(y).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -132*h - 1425. Determine t(-11).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 729843 is divided by 12161?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does -151\/3 = 45238?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 7*j = w - 8, 10 = -w - 2*j. Let l = 186 + -183. Sort w, 5, l in increasing order.\nAnswer: w, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -3 - (46 - 48).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = -6*q + 30. Let y = 22 + q. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 7*q**2 - 4*q - 8. Let u be n(8). Let g be 158\/(-114) + u\/18. Which is the second smallest value? (a) -1\/2 (b) g (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11006 and 142.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 621*s**3 - 621*s**3 + 0*s**5 - 21*s**5 + s**2 wrt s?\nAnswer: -1260*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4 = -4*v - 8, 2*v - 4 = -4*b. Suppose -b*j = 5*m - 358 - 262, 4*m - 5*j = 533. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88213, -88430, -88647?\nAnswer: -88864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 392 = 40*f - 38*f. Let a = f + -187. What is the remainder when a is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 1123807?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 24, 71, 138, 219, 308, 399, 486?\n\"Answer: -r**3 + 16*r**2 + 6*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1547 divided by -3\nAnswer: -1547\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or -26334?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 593450334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -17*g + 72. Determine k(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 9 = -3*v. Suppose -2*i = -8*i + 30. Let s(y) = -y. Let z(q) = 12*q + 14. Let a(x) = -x - 1. Let c(m) = -28*a(m) - 2*z(m). Give i*s(f) + v*c(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 260194745 to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 533.497l?\nAnswer: 533497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2320526731?\nAnswer: 31, 74855701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 14720*x**3 + 368*x - 1104. Let z(w) = 359*w**3 + 9*w - 27. What is -9*g(q) + 368*z(q)?\nAnswer: -368*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4e6d09ae - 1?\nAnswer: -4e6d09b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 1)*(-7 + 3 - -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 568130.9 centimeters to millimeters.\nAnswer: 5681309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.07 (b) -0.1 (c) 161.2 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 178 = w. Suppose -2*m + 2*j = -0*m - w, -j = 3*m - 275. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3747281 times 0.16\nAnswer: -599564.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwnnwwwninnwnn. Give prob of picking 3 n and 1 i.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -5*d - 32. Suppose -23*i - 50553 = -d*v - 19*i, -2*v = -i - 20223. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -73*h + 36*h - 37 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 575527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 4*z + 3. Let q be (4\/6)\/((-2)\/z). Let y(h) be the second derivative of h**3\/2 + h. Calculate y(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1218 is divided by 501.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 3*g**2 - 4*g + 3. Let c be b(-4). Suppose -13*n + c*n + 20 = 0. Factor 0*o**n + 9*o**2 + 10*o + 3*o**3 - 4*o.\nAnswer: 3*o*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -5*o**2 - 5*o - 2. Let c be (34\/(-24) - (-20)\/30)*32. Let z be 2\/(-1*(-16)\/c). Calculate b(z).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 128*l + 16. Let h(v) = -2*v + 1. What is d(g) - 16*h(g)?\nAnswer: 160*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*m + 207 = -33. Calculate the remainder when 685 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 1. Solve 1 = -w*m + 9 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -939, -4958, -15869, -37116, -72143, -124394, -197313, -294344?\n\"Answer: -574*h**3 - 2*h**2 + 5*h - 368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9324, 9065, 8806?\nAnswer: 8547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 2*n = 0. Suppose -2*l - 3*i + 11 = n, -3*l + 40 = 2*l - 5*i. Suppose 5*j + 4*w - 26 = 5*w, -j = -2*w - l. Solve -b + j = -0*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 (base 3) in base 11?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2680 and 26360?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 2585*c - 5170*c + 2590*c.\nAnswer: 5*c + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c**2 + 4*c + 10*c - 14*c.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -5320, 1, 1.2, 0, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07251 - 67886.765.\nAnswer: -67886.83751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - 539?\nAnswer: -539.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 61, 87, 99, 91, 57, -9?\n\"Answer: -m**3 - m**2 + 36*m + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) - -2*sqrt(405))*2 + -5 + (1 + sqrt(405))**2.\nAnswer: 72*sqrt(5) + 401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 - 51.058. Let y = 0.0579954 + q. What is y rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -1512*y**3 + 41*y**2 + 42*y + 2. Let z be k(-1). Calculate the greatest common divisor of 272 and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2246 + -2213. Put -4, -6, m in ascending order.\nAnswer: -6, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416 is divided by 106.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5398 divided by -2699\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -27854, -55719, -83596, -111491, -139410, -167359?\n\"Answer: -a**3 - 27858*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 5*z = -101884, 4*t - 7*z = -10*z + 203726. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1872 and 57720?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/6 + -4 + 0)\/((-68)\/51). Let i = 12.24 - 0.24. Sort n, i, -1\/5, 3 in increasing order.\nAnswer: -1\/5, n, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22\/6 + (280\/(-546) - (-4)\/(-26))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 111\/15 - (-2)\/10*-2. Sort 0.14, 2\/13, y in ascending order.\nAnswer: 0.14, 2\/13, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = a - 3*h - 45, -a + 4*h + 18 = 0. Suppose 10 = a*o - 19*o. What is the lowest common multiple of o\/6 - (-25)\/3 and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(16\/7)*d)\/d**(-7))\/(d**(-2\/15))**(4\/7) assuming d is positive.\nAnswer: d**(1088\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**2 - 2*y + 8. Calculate v(-6).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 5*o**2. Let c(g) = 25*g. Determine i(c(t)).\nAnswer: 3125*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -16.7. Let o = u - -6.7. Let h = 1 - o. Which is the second smallest value? (a) 4\/3 (b) h (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 9*x - 7. Let n be f(8). Let o be (n + (-6)\/9)\/((-9)\/(-54)). Solve -b - 8 + o = 5*l, -l + 2*b = 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1222 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*x - 351*x = -175*x - 14283. What is the thousands digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 1 - 3 + 1. Let m(u) = 0*u - 2 + 5*u - 6*u - 3. Suppose 0 = -3*q - 87 + 42. What is q*n(d) + 3*m(d)?\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -q**4\/8 + 2*q**2. Let o(j) = -3*j. Give u(o(d)).\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - 14. Let d = 20 + k. What is the second smallest value in -0.2, 0, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 16*i - 32. Let a be r(13). Suppose a*p + 0*p = 1064. Is p a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + 1 + 0 + sqrt(891) + sqrt(891))**2 - (sqrt(55)\/(sqrt(10)\/sqrt(2)*-4) + 2 + 5).\nAnswer: -3607 - 863*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1189437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (5 - (8 - 7)) + -8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-4)*(5 + -9). Let r = 14 - f. Suppose -235 = -3*h - 3*j + 194, 5*j - 570 = -r*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3856840 divided by 130\nAnswer: -29668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - -0.1. Let b = -13 + -1. Let d = 10 + b. What is the closest to l in 4, d, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/7 + (-124)\/217)*-21 + 22?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 619 = 79*r + 147*r - 315*r - 1250 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7059\/(-68237))\/(18\/(-58)). Factor -4\/3*h**2 + 2\/3*h**3 + c*h**4 + 0 - 8\/3*h.\nAnswer: h*(h - 2)*(h + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4643 * -2690\nAnswer: -12489670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -899884 or -899883?\nAnswer: -899884","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-21))\/(2\/18)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1605*f**2*s**3 - f**2*s**2 + 2*f*s + 3*s**3 - 2*s**2 - 138 wrt s.\nAnswer: 9630*f**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 471 + -460. Put w, 1\/3, 1\/14, -1\/5 in descending order.\nAnswer: w, 1\/3, 1\/14, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 p when three letters picked without replacement from {p: 7, f: 3, w: 2}.\nAnswer: 63\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m + 6. Let r be b(-6). Suppose 4*a = -4 - r. What is the units digit of 1 + 3 + a + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 20823609, 20823612, 20823615, 20823618?\n\"Answer: 3*l + 20823606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 3.69282839\nAnswer: -0.738565678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 7*t - 1)*(2*t - 2*t + t**3) - t**4 + 3*t**4 - 4*t**4 + (t**3 + t**3 - t**3)*(2 - 2 - 2*t).\nAnswer: -11*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 9*j**3 + 2481*j**2 - 1684476*j + 561216 = 0?\nAnswer: -592, 1\/3, 316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -6*i - 6 - 9 - 3*i + 9. List the prime factors of u(-13).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12 + -10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 29, 93, 213, 407, 693?\nAnswer: 1089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1002111 (base 3) to base 11.\nAnswer: -664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -51907a + -5?\nAnswer: -519084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.138 nanoseconds to days.\nAnswer: 0.000000000000904375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 212.2 - 43.2. Which is smaller: 2\/9 or i?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*r**2 + 513 + 1023\/2*r.\nAnswer: -3*(r - 342)*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -43018 and -43043 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -80258*u**4 - 56*u**3 + 4240*u**2 + 1726 wrt u?\nAnswer: -1926192*u - 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -208*l + 40. Let n be t(-3). Let q = 1188 - n. What are the prime factors of q?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 9*c**2 + 9*c - 7. Let u be y(8). Let i be 110\/(1\/(2 - u)). Suppose -2*x + i = 3*x. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7706 - 31425\/4. Let h = a + 6617\/44. Let m = -2475 - -2476. Is m bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-6)*(-39)\/(1053\/108).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 - (3 - 153\/21). Sort 1, v, -1, 26.\nAnswer: -1, v, 1, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**4*v)**7)**(6\/5))**9 assuming v is positive.\nAnswer: v**(2268\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20761 >= 20753?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 2 + (-2 - 50\/(-5)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1890615793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96017?\nAnswer: 96017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1023224 and 106904.\nAnswer: 7162568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7882?\nAnswer: 2, 7, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.0885936 years?\nAnswer: 0.0000885936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9886356 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((c*c*(c*c*c\/c**(-1\/18)*c*c*c*c)\/c*c)\/c)\/c**(-2\/17))\/(c**(-3)\/c**4))**(-35))**(-7) assuming c is positive.\nAnswer: c**(1137535\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-11)\/z)**(-2) assuming z is positive.\nAnswer: z**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -183672 - 16616328. What is n rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 190*i + 267*i - 31*i - 3834 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4158480722?\nAnswer: 2, 11, 43, 4395857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 6264?\nAnswer: -5\/6264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 23*c**2 - 7*c + 8. What is the least common multiple of o(1) and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526778699 to the power of 1\/2, to the nearest integer?\nAnswer: 22952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*b - 16, 64*b - 4*a + 20 = 65*b. Solve -4*n = 2*f - 14, b*f = n + 9 - 26 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2150048509?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -22*z**2 - 22*z**2 + 41*z**2. Let x(m) = m**2 + 1. Let l(u) = 7*u**2 + 6. Let f(h) = -l(h) + 6*x(h). Determine a(f(n)).\nAnswer: -3*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95810?\nAnswer: 2, 5, 11, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -3*n**5\/2 + 6*n**4 + 3*n**3\/2 - 24*n**2 + 18*n = 0.\nAnswer: -2, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 133121388 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -11.05. Let w be (-2 - 2\/(-2))*-3. Put w, i, 1 in decreasing order.\nAnswer: w, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22621199 a multiple of 1323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68648824 is divided by 2080267?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 29054418?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 63, 101?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 3*l**2 + 5115*l + 1197000 = 0.\nAnswer: -1425, -280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3 = -j, 5*p = -3*j + 4*j + 27. Let s(f) be the first derivative of f**3\/3 - 3*f**2\/2 + 10*f + 6. What is the units digit of s(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 r when four letters picked without replacement from wfksfwwrksrwfswkwskf.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g + 41. Let n be q(23). What is the lowest common multiple of 22 and 6\/2*n\/(-30)*4?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 at most -160?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.7, -3, -5, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.1, -4, -1.6, 3 in decreasing order.\nAnswer: 3, 0.1, -1.6, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x**3 + 44*x**2 + 101*x + 1748. What is v(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**3 + 448*m**2 - 749*m + 1159. Give l(-151).\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 - (9 + 4) - (-7 + 39).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*(z*z\/(z**(4\/5)\/z))\/z))\/(z**(-3\/7)*z)*z**6\/z**4*(z**(2\/5))**(10\/3)\/((z**(1\/4)*z)\/z**(-7)) assuming z is positive.\nAnswer: z**(-2809\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 29aa8 (base 15) to base 12\nAnswer: 65695","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 11, r: 1, w: 8}. Give prob of picking 2 d, 1 w, and 1 r.\nAnswer: 88\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20004 by 6.\nAnswer: -3334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**6 - 1640*m**5 - m**4 - 25*m**2 + 735*m - 4 wrt m?\nAnswer: -120*m**3 - 98400*m**2 - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5640*t**2 - 3*t + 3. Let w be h(3). Let d be (w\/9)\/(4\/114). Let p = -341721 + d. Round p to the nearest 10000.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 6*u**2 - 3*u - 4. Let r be t(6). Let v = 4463\/23 - r. Let y = -21\/46 - v. Put -2\/3, -4\/9, y in descending order.\nAnswer: -4\/9, y, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -40*g**5\/3 - 228*g**4 + 764*g**3 - 2372*g**2\/3 + 268*g = 0.\nAnswer: -201\/10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*b + 32256 = -20*b. Let w = b + -903. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5\/(-42))\/(((-2940)\/12)\/49))\/(1\/(-2)).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 - 42 + 16 - 51)*(w - 4*w + w).\nAnswer: 206*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2321*u + 910*u - 1016*u - 204356 = 1921*u for u.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and -9.44729.\nAnswer: -14.44729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmxmfmmxfm. Give prob of sequence xx.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -17*d**7\/21 + d**6\/6 - 103*d**4\/4 - 345*d. What is the third derivative of z(f) wrt f?\nAnswer: -2040*f**2 + 120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14114610 rounded to the nearest 100000?\nAnswer: -14100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 1947 and 1961 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**2 + 2*p**2 + p**2)*(9*p**3 - 3*p**3 + p**3).\nAnswer: -7*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1513387 - 1513406.87961. Let s = 0.10639 - y. Let q = s + -20.2. Round q to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 7 = -o, -307091*o + 307090*o - 14 = -5*z for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2266 (base 10) to base 16\nAnswer: 8da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of w**4\/3 + 46*w**3\/3 - 100*w**2 - 22*w - 8. Factor m(s).\nAnswer: 4*(s - 2)*(s + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1978, -1983, -1998, -2029, -2082?\n\"Answer: -s**3 + s**2 - s - 1977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4716 * -22426\nAnswer: 105761016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -74 + 81. Let h = -11 + r. Which is the nearest to -2? (a) 10 (b) h (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144260 is divided by 7252.\nAnswer: 6472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64273.35 grams to nanograms.\nAnswer: 64273350000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from uwzewxxwezzzwgu.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 423866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 30145 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-17 - -26) + 856\/(-88).\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 33 = -2*a + 5*k, -4*a = -5*k - 9. Let y be (a\/16)\/((-2)\/8). Suppose 4*h - 39 = y. What is the smallest common multiple of 5 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/523, 1\/4, -3, 0.017, 1?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - 15)\/4 - 9. Let r(b) = b**2 + 13*b + 21. Let n be r(u). Let g(d) = 49*d + 6 - n + 2*d**3 - 53*d. Calculate g(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 0*q**3 + 0*q**2 + 0*q + 3 + 0*q**4 + 1\/2*q**6 + 3\/5*q**5. Determine w, given that b(w) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of 0 - m**2 + 1\/8*m**4 + 1\/3*m**3 + 1\/30*m**5 + 0*m. Let u(s) be the first derivative of d(s). Differentiate u(q) wrt q.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = 4*h - 524. Let m = h + 200. What is m rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 11*b**2 - 12*b - 1. Let v be i(-12). Let o be 10\/5 + v*3. Sort o, -4, 3 in decreasing order.\nAnswer: 3, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/652 and -51\/4.\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 9509 + 28553. Suppose o = 2*p + 1107. What is the units digit of (p\/(-42))\/((-3)\/4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -292310.3 - -12.\nAnswer: -292298.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 6 - (-15 + 5 + (21 - 38))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 - -50. Suppose 4*u - 4*q = 63 + 13, 2*u = 3*q + 43. Calculate the lowest common multiple of f and u.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*9*(-30)\/54*(-11)\/5\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 10*z - 1960. What is the greatest common factor of 20 and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 17 = -16*f + 13*f, -5*t = -f - 7. Let a be (t\/(-7))\/(6*(-4)\/56). What is the nearest to 1 in a, -13, -0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (s**3 + 0*s**3 + 0*s**3)*(37*s - 290*s + 143*s) + 0*s**4 - 3*s**4 + 2*s**4 as f*s**3 + h + j*s + i*s**2 + r*s**4 and give r.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 92104.31 kilometers?\nAnswer: 92104310000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.07 + 5.07. Let v be -1 + 1 + 1598\/(-221). Let x = v + 639\/65. Which is the third biggest value? (a) z (b) x (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0.32, -1\/5, -2302?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of 137\/6*v**3 - 45\/8*v**4 + 0 + 0*v + 38*v**2. Find the first derivative of p(d) wrt d.\nAnswer: -135","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -z - 3. What is the remainder when (-4)\/(-2)*(4 - -16) is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -91338.54 times -0.02\nAnswer: 1826.7708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 638 + -172?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qc when two letters picked without replacement from {v: 2, j: 2, t: 1, c: 4, q: 1, f: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70889 and 30381.\nAnswer: 212667","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4696 + -4653. Solve y + 4*c + r = 49, -1 = y - 3*c for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148063777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 402*o = 4*z + 403*o + 1, -10*z - 4*o = -14*z + 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-17)\/((-5270)\/(-110))*5\/(-1). Which is greater: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1081288 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**3 + 97*m**2 + 609*m - 185. Calculate q(-41).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39776351?\nAnswer: 727, 54713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/2052 - 92\/456*-134.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21006475 or -63019427\/3?\nAnswer: -63019427\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 + 6*y - 21. What are the prime factors of q(-7)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m + 35. Let s be c(14). Solve 0 = j - 3 + s for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 159 or 160?\nAnswer: 159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 110618 or 110612?\nAnswer: 110618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-75))\/((-12)\/(-20)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 24*p**2 - 44*p + 6. Let h be b(-22). Solve -3*m = -4*z + 4, 5*m + 3*z - 8 = h*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 198569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -835444 - c?\nAnswer: -835453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.12 - 6.12. Let x = -8.72 + 2.76. Let p = z - x. What is the third biggest value in 0.5, p, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 5867213 + 1335467. Let a(f) = 80851*f**2 + 6*f - 2. Let c be a(6). Let i = q + c. Round i to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-3*sqrt(90)\/sqrt(3))\/(1*sqrt(160) - sqrt(160) - sqrt(160)).\nAnswer: 3*sqrt(3)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.34 + -0.3. Let z = 51 - 18. Let g = 33.3 - z. Which is the smallest value? (a) p (b) -3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7908 and 164.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 19*c + 42. Let s be y(-17). What is the second derivative of s*t + 15*t**3 - 5*t - 12*t wrt t?\nAnswer: 90*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 2*b**2 - 4*b + 1. Let o be d(-3). Let h = 3 + -8. Let c = -8 - h. Put o, 1, c in decreasing order.\nAnswer: o, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1522972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/154260 and -30\/857.\nAnswer: 154260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 33 or 3\/1494716?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2473*o**3 + 7*o**2 - 2*o + 6177?\nAnswer: -14838*o + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3838.\nAnswer: 2, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 21865956097 and -18.03.\nAnswer: 21865956078.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2870? (a) 2 (b) 0.3 (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkmmkkkkk. Give prob of picking 3 k and 1 m.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 241 (base 13) in base 8?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 12.64. Let p = 1.64 + m. Let z be 4\/(-8) + 6\/28. Put p, z, 0.3 in decreasing order.\nAnswer: p, 0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 9) in base 3?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + w + 5 = 0. Suppose w*p = p + 4. What are the prime factors of -1 + (28 - p - -2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and -305951.\nAnswer: -305951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of a - 5\/12*a**3 + 31 + 3\/8*a**2 + 1\/20*a**5 - 3\/16*a**4. Factor i(r).\nAnswer: (r - 4)*(r - 1)*(r + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2488)\/52 + 2*(1064\/494)\/(-28)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -317 times -0.16?\nAnswer: 50.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*d - 3520 = 30*d. Let i = d - 315. Solve -36 = i*u - 11 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 376*b + 714572 - 202760. Solve -12*o - b = -1258 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -10. Suppose j*h - 216 = -0*h. Suppose -h = -6*x + 3*x. What is the remainder when 34 is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5590.877 and 4.\nAnswer: 22363.508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -115 + 115. What is the second derivative of h - 31*h**2 + f + 3 - 1 + 4*h wrt h?\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -72*c - 2. Give x(-1).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 84 = 15*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005187334 to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 - -11. Let t = 10.15 + g. Let s = t + -3.15. Which is the third smallest value? (a) -2 (b) s (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 1020 = 2*r - 1017, 3*n + 4*r + 7 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 579113343 divided by -119331?\nAnswer: -4853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -0.5. Which is the closest to -1? (a) h (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -220 (base 3) to base 15\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3192)\/95 + 1638\/(-195)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 11. Suppose -5*k - 3*g = -2*g - 9, -2*g + q = 4*k. Suppose 2*f - 76 = -k*a, -a + 33 = -6*f + 2*f. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*-6*3)**2 + 4 - (1*sqrt(51)*-3)\/(sqrt(12)\/sqrt(144)).\nAnswer: 18*sqrt(17) + 22036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3119996 times 2?\nAnswer: 6239992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.7, -2, 2, 0.546?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -25, -35, -45, -55?\n\"Answer: -10*h - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3680\/(-138))\/10*(-45)\/(-12).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65234.\nAnswer: 2, 13, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5880789 to the power of 1\/3, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5092745 bigger than 5092745?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 - 40. Suppose -i*t = -5*j + 275, -t = t. Is 56 greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3980, -4100, -4250, -4430, -4640?\nAnswer: -4880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 549*(-66)\/3564 + 11 - 1*(-83)\/(-98)?\nAnswer: -2\/147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0\/2 - (-7 + -18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/49713158 and -1\/11298445.\nAnswer: 248565790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 158832441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8*8\/(-32))\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-2))\/1*(173\/(-17) + 1308\/7412)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/((j**0\/j)\/j)))**(-19))**(-14\/5)\/((j*j**(-6)\/j)\/j**1*(((j\/j**(3\/4)*j)\/j)\/j)\/j*j\/j**(-1\/3)) assuming j is positive.\nAnswer: j**(-5939\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5 - (-2 - (-8)\/4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.04 + 0.02. Let d = -0.22 - y. Let j = -0.2 - -0.7. Which is the closest to d? (a) 1 (b) -0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581.694 rounded to zero dps?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 5*c - 4*o - o, c = 4*o - 19 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**4\/3 - 63700*n**3\/3 + 101442250*n**2 - 646187132500*n\/3 + 514526504253125\/3 = 0.\nAnswer: 3185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ynxzxyzd. Give prob of sequence zd.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 175 and 9?\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 3) to base 14\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10 + -6 - -1 - 3. Let t(f) = -19*f - 8*f**j + 6*f + 8*f - 2. Let i(v) = 17*v**2 + 11*v + 4. Give -6*i(s) - 13*t(s).\nAnswer: 2*s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -37\/50, 3, 2\/9, -4\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and -9.62.\nAnswer: -10.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1385 divided by -5.\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 6*q + 8. Let z be i(-6). Suppose z = -6*t + 2*t. What is the common denominator of 1\/6 and 1260\/(-192) + t\/(-2)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18508 and 42938560?\nAnswer: 42938560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -4*l**4\/5 - 136*l**3\/5 + 96268*l**2 - 63647808*l\/5 + 169415424 = 0?\nAnswer: -417, 15, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 2049 = 85*t + 1087 + 864 for t.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 8*d**2 + 10*d + 5. Let z = -5 + 14. Let h be l(z). What is the greatest common factor of 70 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c - 3. Suppose -126*i + 124*i - 4 = 0. Calculate j(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 417 = -q, -3*q = -k - 5*q + 87. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 617 divide 251513880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**6 - 1039*p**4 - 3*p**3 - 22577*p**2 wrt p?\nAnswer: -240*p**3 - 24936*p - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -8, 0.4, 39008 in descending order.\nAnswer: 39008, 3, 0.4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4624 - 10322*h - 19640 + 9861 wrt h?\nAnswer: -10322","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 890661 is divided by 1507.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 123*(-45)\/54*-14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -198918*w**3 + w**2 + 238333*w wrt w?\nAnswer: -1193508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 4*p - 40. Let y be i(-9). Solve -c = y*o - 6 - 17, c + 1 = o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1\/13, 3 in ascending order.\nAnswer: -3, -1\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6034, 23537, 52568, 93133, 145238, 208889?\nAnswer: 284092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 4)*(2*i + 4*i - 3*i) + 7 + 19*i - 7 to the form q + n*i and give n.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 28*n**2 + 45*n - 193. Is q(21) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -t**6\/60 - t**5\/4 + 7*t**4\/24 - 5*t**3\/6 - 23*t**2. Let l be o(-8). List the prime factors of ((-1)\/(-4))\/(l\/732).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-4\/3)*u**(4\/7)*(u**(-4)*u)\/((u\/u**(1\/2))\/u*u))**(4\/5) assuming u is positive.\nAnswer: u**(-10\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -7*w. Suppose -3*y - 2*y = -4*r, 0 = -4*r - 4*y + 36. What is the third derivative of p**2 + w*p**2 - p**r + 2*p**5 wrt p?\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -733321458 divided by -1?\nAnswer: 733321458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*a - 80 = 0, 0*a = -d + 4*a + 36. Suppose -13 = 2*j + 3*c - 1, 2*j = -5*c - d. Solve j = -5*n + 25, 0 = 3*b - 2*n + 3 - 2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 4*g - 12. Let a be g\/4*0\/2. Suppose -1 = b - 3. Solve a = 2*u - u + b for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43*v**4 + 4*v**2 - 293*v wrt v?\nAnswer: 516*v**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q = 9*q - 15, -2*t = -4*q - 824. Is 6 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1486 - 67948.\nAnswer: -66462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 482?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 706 (base 11) to base 4\nAnswer: 31111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 30 = -3*u. Let g(s) be the second derivative of -s**4\/12 - 4*s**3\/3 - 4*s**2 - 2*s - 51. What is g(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 5*c. Suppose 0 = -5*u - c + 20. Suppose 0 = 6*j - u*j - 16. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0568 + -3.2132. Let v = -1.73 + s. Let h be (9 - 4)*2\/(-15). Which is the smallest value? (a) 0.1 (b) v (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27319 and 20.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 14) in base 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 4*y**2 + 20*y - 5. Let c be j(-7). Suppose -c*z = 4 - 32. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 453 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -0*u - 42. What is the remainder when 39 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 34*v + 313. Give f(-8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-225)\/(-10)*(-84)\/(-15). What is the highest common factor of 14 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4492660 divided by 898532\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334*w + 58920 = 1782*w + 19824 for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 7*d + 34. Let n be v(-14). Let p = 67 + n. Is -1 + p + -1 - -446 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 j when three letters picked without replacement from {u: 3, j: 8, z: 5, l: 3, s: 1}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 117791530 = -5*l - 117791504, -2*l = 13*v - 108 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 8*c**3 - 28*c + 26. Let k be q(1). Solve -3*z - k = -5*a, 20*a + 4*z = 17*a - 8 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**2 - t - 2. Let v(o) = o**2 + 1. Let w(z) = -2*a(z) - 3*v(z). Calculate w(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 196 = -b, 5*b - 86 - 75 = -4*v. Let k = 124 - v. Let j(s) = s**3 + s**2 + s + 22. Calculate the remainder when k is divided by j(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 33.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i. Let p(m) = -1834*m + 44. Give h(p(g)).\nAnswer: 1834*g - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -3*n**5\/8 - 5*n**4\/8 + 31*n**3\/4 - 23*n**2\/2 + 3*n = 0.\nAnswer: -6, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-7)\/p)\/((p*p\/(p*p**(-5\/3)))\/p)*(p**0*p)**(-2\/35) assuming p is positive.\nAnswer: p**(-1021\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 188? (a) 9 (b) 5 (c) 9\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 + 1.1. Let h be (22 + -14)\/(-4)*10\/(-8). Let j = 90 + -541\/6. Which is the nearest to 1? (a) j (b) y (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 x when two letters picked without replacement from {o: 3, h: 2, x: 4}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*r - 6*r + 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 301634044 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (154\/70 + -2)*0\/(-9)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/34*475\/(-38)*-20 + -18.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/6*(-3 + 0). Let z be (-1)\/((-1)\/v) - -2. Suppose 2 + 1 = -3*t. What is the nearest to 0 in t, 0.4, z?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 8.9. Let j = d - 0.1. Sort -4, 4, j in descending order.\nAnswer: 4, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3007 and 12307?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 17 = c. Suppose -c*i = -27*i + 180. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 124 + 74. Let m = 47 - t. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -117 + 141. Suppose 0 = -6*s + b + 120. What is the remainder when 141 is divided by s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*s**6 - 39*s**2 wrt s.\nAnswer: -360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3 - 4146*r**2 + 232899*r - 3340452.\nAnswer: 3*(r - 1324)*(r - 29)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**3\/9 + 70*c**2\/3 + 67450*c - 152490250\/9 = 0.\nAnswer: -605, 355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1748765, 3497528, 5246291?\n\"Answer: 1748763*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -439, -379, -279, -133, 65, 321?\nAnswer: 641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 2*d**3 + 11*d**2\/2 - 76*d - 11. Suppose 2*s - 4*s + 16 = 0. Let u(z) = -8*z - 7. What is s*u(n) + 5*k(n)?\nAnswer: -4*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4*d + 436 = 0, -6*d + 7*d = 5*v - 545. What are the prime factors of v?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 h when two letters picked without replacement from {y: 3, w: 1, h: 6, j: 3}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 5*v + 39, s + 4 + 0 = 4*v. Suppose -s*a - 25600 = -4*a. What is a rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/14*568\/639*3\/(-2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21967648?\nAnswer: 2, 19, 36131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 6*k + 7 = k, -3*j - k + 5 = 0. Suppose -5*o = -j + 72. Let h be (-38)\/o - (-10)\/35. Solve 0 = h*l - 9 - 3 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(-10)*(-10)\/6. Find the third derivative of 18*m**2 + 24*m**b - 43*m**2 + 15*m**5 wrt m.\nAnswer: 900*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3*(-14)\/(-24))\/((-63)\/(-18)). Let z be (18 + -7)\/(-22) + 5\/2. Factor 0*j**z + j**3 - j + u - 1\/2*j**4.\nAnswer: -(j - 1)**3*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-469)\/35 + 20 + (-4)\/(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) 67\/12 (b) 3 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2317127052.\nAnswer: 2, 3, 101, 719, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -11. Suppose -q + k*v + 14 = -4*q, 2*q + 4 = 2*v. Let w = 25 + q. What is the highest common divisor of w and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2234281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4055740 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/2, 0, -4, -2, 0.39, 0.027?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = k - 5. Let d(o) = 4*o**2 + 2*o + 1. Let l be d(k). Suppose 2*c = -l*c + 90. Calculate the remainder when c is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16050 - 16016. What is the greatest common divisor of 134 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 297 divide 1823580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 5*d - 282. Suppose -15*o = -1 - d. Solve c + 4 = 2*i, -o*i = 4 - 19 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 996 and 373168?\nAnswer: 1119504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**2 + 7*k**3 + 1 - 1 + (3*k**2 - k**2 - k**2)*(2*k - 1 + 1).\nAnswer: 9*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11\/58 - 7\/116. What is the nearest to q in -2\/11, -1\/8, -2\/7, -7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 29 + 19. Let y(m) = m**3 - 13*m**2 + 28*m + 20. Let a be y(10). Solve 2*t = 4*i - 2 - d, a = -2*t + i + 1 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c**3 - c**2. Let i(p) = 19*p**3 - 4*p**2 - p - 71. Give -i(v) + 6*y(v).\nAnswer: -v**3 - 2*v**2 + v + 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - l - 4*a = -29, 2*a = 3*l + 25. Let q = l - -7. Let j be q + (-3)\/42*2. Put -2\/7, j, 4 in descending order.\nAnswer: 4, j, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 16*m - 17. Let b be j(-8). Suppose o = 20 + b. Calculate the remainder when o is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/(-45))\/((-5)\/(-300)*-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 3 = 0, -2*a + 5*k = -0*k - 19 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/57415492 and 93\/4673354.\nAnswer: 401908444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**0)**44)**(-40))**27 assuming v is positive.\nAnswer: v**(-47520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1140323 and 5491?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -140820 or -140822?\nAnswer: -140820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 0. Suppose 4 = -4*i - 4. Let y be (-16)\/42 - 10\/(-15). Which is the closest to i? (a) 0.1 (b) y (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -99*o + 233*o + 102*o as i*o + j and give i.\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -915*b**3*z**3 - 1031588*b**3 + 6*b*z - 2*b + 162432*z**5 + z**2 wrt z.\nAnswer: -5490*b**3 + 9745920*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5267 is divided by 2555?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 62804 - 62796. Let p(c) = 3*c**2 + 7*c - 4*c**2 + 1 - 2*c. What is the smallest common multiple of h and p(3)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 12*f**2 - f - 12. Suppose 3*b + 0*n = 4*n + 13, 4*b - 2*n = 24. Suppose -6*u + 12 = -b*u. Let k be g(u). Solve -2 = -k*r - r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*d = 7, -18*d + 20*d = 2*n - 4. Put 5, -167, -5, n in descending order.\nAnswer: 5, n, -5, -167","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -10*s**2 + 10. Let v(q) = -q**2 - q. Suppose n = -3*n + 36. Suppose 4*m - n = -13. Let d(j) = m*p(j) + 5*v(j). Find f such that d(f) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -116224 by -533.\nAnswer: 116224\/533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 6*b - 2*b)*(-b**2 - 3*b**2 - b**2) + (-23*b**2 + 34*b**2 + 9*b**2)*(-2*b - b + 4*b) + (4 - 2 - 1)*(0*b + 0*b + b**3) + b**3 - 3*b**3 + 4*b**3.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**2 - 3*k**2 + 6*k**2 - 7*k**3.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21524 - 5426 - 5371 - 5*k**2 + 4*k**2 - 5355 - 5372.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7790, -11381, -14972?\n\"Answer: -3591*t - 4199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22168 + -7145. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 8. Let d(u) = u**3 - 4*u**2 - u - 16. Let y be d(m). Let q be 14\/(-4)*2*y\/(-35). Solve q*l + 9 = 7*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14194625.\nAnswer: 5, 113557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (-13 - -7)) + -6 + 10\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = g - 0*c, -4*g - 2*c + 18 = 0. Suppose -g*r + 0*r = 0. Let a = -2999\/25 - -120. Which is bigger: r or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/3))**(-2\/23)*(i*i*i*(i**4\/i)\/i)\/i**5)\/((i**(-8)\/(i\/i**(-2\/7)*i))\/((i*(i\/(i\/i**(-1)))\/i*i)\/i*i**(-8))) assuming i is positive.\nAnswer: i**(635\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 5, -33, -2, -1\/1076?\nAnswer: -1\/1076","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93 - 110 + 17 + 11*f.\nAnswer: 11*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 643104053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68\/111 - -2\/37. Let p = 6 - 8. Let g = p - -1.8. Which is the biggest value? (a) 1\/3 (b) m (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.61 - -2.61. Let p = -12 + 12. Let a = p + 5. Sort -2, y, a in descending order.\nAnswer: a, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*x**4 + 111*x**3 + 4*x + 17480?\nAnswer: 24*x**3 + 333*x**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-204)\/68 - 8\/2. Let a = -7 - -4. Put g, a, -20 in increasing order.\nAnswer: -20, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -151651?\nAnswer: -151654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21221003 - 102?\nAnswer: -21221110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/8 - (-98)\/(-4). Let q = 124\/5 + j. Which is the smallest value? (a) -0.1 (b) q (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 9*t**2 + 9*t + 11. Let k be r(10). Let x = -74464 - -221828258\/2979. Which is smaller: k or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -x**5\/120 - x**3\/3 - x**2. Let o(v) be the first derivative of i(v). Let k(f) = -f**2. What is o(k(w))?\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 50 + 21353?\nAnswer: 21403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/696388 and -3\/22.\nAnswer: 696388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*l - 131 = 4*l + 5. Sort l, -1, -39, -5 in descending order.\nAnswer: -1, l, -5, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (4*(0 + -2 + sqrt(128) + -1 + sqrt(128) + -1)*-4 + -4)*6)**2.\nAnswer: -1115136*sqrt(2) + 4850361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 608 is divided by 75?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -61 - -38. Let h = -35 - o. What are the prime factors of (-2)\/6 + (-148)\/h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c = 7*c + 12. What is the derivative of 3*v**4 - 3 - 2*v**c + 6*v**4 wrt v?\nAnswer: 28*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirty-three fifths of a gram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -445 - -752. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 10001101101011100?\nAnswer: -10001101101011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-3 + sqrt(1088)*-2 + 3 + 2*(-3*sqrt(1088) + sqrt(1088)) + -4)*5)**2.\nAnswer: 86400*sqrt(17) + 8816400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 11 = -f, -w + 5*f = 3*w - 29. Let z be 7\/w + (-3)\/6. What is the closest to 0 in -1, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3, 10800.6, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*c + 85*c**3 - 16*c + 6*c - 113*c**3.\nAnswer: -28*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1861*j - 581*j - 1035*j - 1630*j)*(0 - 1 + 0) to p*j + w and give p.\nAnswer: 5107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 8*o - 12. Let s be p(-11). Let f = s - 19. Suppose f*x + 1 = 47. What are the prime factors of x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + -41. Let d = g - -100. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141182 is divided by 1682?\nAnswer: 1576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 less than 18313?\nAnswer: 18325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1956 divided by 10792\nAnswer: 489\/2698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1153787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wvsrrrssss. Give prob of sequence rr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -50 in -2, 3, 0.2, -17, 2?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(170)\/((sqrt(10) - (1*sqrt(10) + sqrt(10)))*4))**2.\nAnswer: 49\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00016145 to 5 decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**2 + 200*x - 1644. Determine p(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**4 + 24*l**3 + 28*l**2 - 24*l - 32 = 0. What is l?\nAnswer: -4, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -5 - (7 - 7) - 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 158 - 94. Let c = q + -63.63. Let x = c - 0.3616. What is x rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.601 times 2?\nAnswer: 21.202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -2\/25 (b) 6 (c) 1\/4 (d) -13 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-84)\/(-32))\/(((-299)\/(-26))\/23)?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5446 - -13?\nAnswer: 14.5446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 253299800 to the power of 1\/2, to the nearest integer?\nAnswer: 15915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**2 + 141*f + 911. Let a be m(-6). Let q(d) = -51*d**3 + 7*d**2 - 7*d. Let x(l) = 26*l**3 - 4*l**2 + 4*l. Calculate a*x(i) - 4*q(i).\nAnswer: 22*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8*10)\/((-1)\/3). Calculate the highest common divisor of g and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q - 30. Let u be m(-16). Let g = 3 + 1. Let d be (1\/(-2))\/((-1)\/(-6)). Put d, g, u in descending order.\nAnswer: g, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(425) + 3*sqrt(425) - sqrt(425))*2)**2 + (((2 + sqrt(425))*-2 - sqrt(425))**2 - ((sqrt(425) + 0)*-1)**2).\nAnswer: 600*sqrt(17) + 18780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u**2 + u + 2. Let i(n) = 19*n**2 - 4*n - 35. Let p(y) = -10*y**2 + 2*y + 19. Let m(d) = 6*i(d) + 11*p(d). Give 3*c(k) + 2*m(k).\nAnswer: -k**2 - k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 53, 5, 3, -32703, -2 in ascending order.\nAnswer: -32703, -2, 2, 3, 5, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 32 = 7*z. Let y(m) = 10*m + 22. Calculate the remainder when y(z) is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2437647 is divided by 1799?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 807.1767 + -810.58. Round o to one decimal place.\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44592)\/(-26012))\/(60\/98)?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1708.235 to zero decimal places.\nAnswer: 1708","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7320*q - 5280*q + 2455*q - 429*q.\nAnswer: -10574*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -20, -24, -30, -38, -48, -60, -74?\n\"Answer: -v**2 - v - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125643, -502602, -1130867, -2010438, -3141315, -4523498, -6156987?\nAnswer: -8041782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m**2 + 3*m. Let x = 39 + -17. Let i = -20 + x. Let a(s) = 3*s**2 + 2*s. Let q(w) = i*z(w) - 3*a(w). Let c(k) = -4*k. What is q(c(r))?\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.8 (b) 0.03 (c) -2\/17 (d) -45 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/6071 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -19. Suppose -9*a = -x*a + 3. Is -1 less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 798*w. Let n(s) = s. What is n(b(i))?\nAnswer: 798*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6556 - 6555.8. Which is the nearest to -0.1? (a) m (b) -180\/11 (c) -0.2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -14*d - 1. Let v be g(-1). Is 13 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -1422730*f. Let u(l) = l**2. What is u(k(i))?\nAnswer: 2024160652900*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j + 0 + 2\/5*j**2.\nAnswer: 2*j*(j - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of 25*i**4\/2 + 30*i**2 - 169*i. Differentiate m(a) wrt a.\nAnswer: 300*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101010 + 10000?\nAnswer: 11111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -581.5 + 1121. Let b = 539 - u. Put b, 1, 0.08, 0 in descending order.\nAnswer: 1, 0.08, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjhjquxhhjjuxju. Give prob of picking 1 x and 1 j.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*-2*(20\/(-6))\/((-768)\/(-32)).\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 12, 20, 32, 48?\n\"Answer: 2*d**2 + 2*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - s + 0*s)*(-93 - 62 + 238 + 81 + 304).\nAnswer: -936*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**4 + 2*m**4 - 3*m**4)*(6 - 2 - 1)*(-m - 6*m - 4*m).\nAnswer: -33*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*p**3 + p**2 - p**2.\nAnswer: 17*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.24 + -3.04. Sort z, 3, -3, -72 in descending order.\nAnswer: 3, z, -3, -72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324429318.\nAnswer: 2, 3, 59, 305489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2349 and 724734.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -5*w - 15, j = -2*w - 0 - 12. Let q = 7.3 + -18.3. Suppose 0 = i - 5*i - 4. Which is the nearest to i? (a) 2\/5 (b) q (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -w - 2. Let h(u) = u**2 + 2*u. Let a be h(2). Suppose 9 = -a*q + 41. Calculate the smallest common multiple of q and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52)\/(-14)*48146\/(-6878).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of l**3\/6 + 25*l**2\/2 + l. Calculate the remainder when o(0) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbhh when four letters picked without replacement from {s: 1, b: 4, h: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21708 and 838026.\nAnswer: 112295484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - d - 45 = -2*d, d = 2*m - 51. What is the remainder when 46 is divided by m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 + q**3 - 6*q**3)*(-321*q + 321*q + 13*q**2).\nAnswer: -52*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*u - 5*u - u)*(6 - 3 - 2)*((1 + 2 - 5)*(3 - 2 + 0) + (1 - 1 + 2)*(4 - 3 - 2) + 3 + 6 - 2) to h*u + x and give h.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*b**3 + 31*b**3 + 38*b**3 - 108*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2)\/p)**(-2\/19)\/((p*p*(p*(p\/(p\/(p*p**0)))\/p)\/p*p)\/p)**(-13\/2)*((p*p**(6\/7)*p*p)\/(p**(-13)\/p))**(1\/4) assuming p is positive.\nAnswer: p**(9459\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/4 + 0 - (-4 + 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 73 + 18*p**3 - 231 - 19*p**3 + 2*p**3 - 3*p**3 + 2*p**3 + (-p**3 + 4*p**3 - p**3)*(2 + 1 - 2).\nAnswer: 2*p**3 - 158","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l**5\/15 - 2*l**4\/3 + 40*l**3\/3 + 56*l**2\/3 - 32*l\/5 = 0. What is l?\nAnswer: -3, -2, 0, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270809?\nAnswer: 7, 11, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2387, -4778, -7169, -9560, -11951, -14342?\n\"Answer: -2391*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 84*m - 571. What is v(7)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 19*t - 20. Let i be d(20). Solve -5*k + 14 + 11 = i for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -3\/4*o**3 + 1\/20*o**5 + 0*o**2 + 0*o + 9\/16*o**4 + 220 - 1\/24*o**6. Find k such that g(k) = 0.\nAnswer: -3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -7622958.1\nAnswer: -762295.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 - 1\/((-3)\/(12\/4)). Suppose 1 = -5*o + q. What is the units digit of o\/((-8)\/(-4))*10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-1\/3)*r)**(-8))**(-1\/4))**(-39) assuming r is positive.\nAnswer: r**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*t + 161*t + 23 = -457 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 + 168412584*i**2 + 1772674903097316*i.\nAnswer: 4*i*(i + 21051573)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, -53, -508 in increasing order.\nAnswer: -508, -53, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mulg when four letters picked without replacement from {g: 1, l: 1, u: 1, m: 1, k: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3940\/7 + 35432\/63. Which is the nearest to f? (a) -4 (b) -149 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 875237768.\nAnswer: 2, 23, 269, 17683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4 + 5 - 17*p + 2 + 27*p wrt p.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 1)*(-20*l + 0*l - 38*l) + (-2 + 2 - l)*(2 + 1 + 0).\nAnswer: -119*l","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2 + -2 + sqrt(1216)*-2 + 2*(1 + sqrt(1216)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - -36. Suppose 4*y + 0*y = u. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 4 (b) -0.11 (c) 3 (d) 2.1584\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand z - z - 5*z + (1 - 3 + 3)*(3*z + z - 2*z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6048) - (sqrt(6048) - 1*sqrt(6048)))\/((sqrt(8)\/sqrt(2))\/sqrt(2)))\/((1*sqrt(63) + (sqrt(63) - sqrt(7))*5 + sqrt(7))*5).\nAnswer: 6*sqrt(3)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 15. Let p(m) = 8*m**2 - 3*m - 3 - 7*m - 10*m + 19*m + 5*m**2. What is the hundreds digit of p(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 14. Let w = 0 - s. Let d = w + -6. Is d greater than or equal to -1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 22666, 90619, 203874, 362431, 566290, 815451?\n\"Answer: 22651*c**2 + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 4*l**3 + 460*l**2 + 9256*l = 0.\nAnswer: -89, -26, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3 = -0. Let z be (a\/2)\/(30\/(-8)). Let c be 0\/(3 + -2 + 1). Which is smaller: z or c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 68.0768kg?\nAnswer: 68076800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**4 + 2*g**2 - 4*g + 2. Let a(x) = 2*x**4 + 3*x**2 - 4*x + 3. Let p(l) = 2*a(l) - 3*u(l). What is the second derivative of p(s) wrt s?\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 9. Suppose l*f = -f. Suppose f = -3*x - 2*z + 90, -5*z + z = 12. Solve x = 3*t + 4*b, 3 = -t - b + 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {u: 3, z: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + -2*sqrt(19)) + 0.\nAnswer: -2*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3932 - -13433. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 594 divide 965757870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (-58)\/((12\/10)\/(-3)). Suppose -q + 20 = -96. What is the highest common factor of y and q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, t: 5, b: 4, u: 1}. Give prob of picking 2 t.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8173*x**4 - 3725 wrt x.\nAnswer: -32692*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2834*x + 189923. Calculate l(-67).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1359?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqjq when four letters picked without replacement from pjbbpbpbbbqbqpppq?\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhuxhd. Give prob of picking 2 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Is 520490376 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -27 + 35 + (14 - 2 - -2)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*p**2 - 2*p**4 + 0 + 16*p**2 + 0 wrt p.\nAnswer: -48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12603, 101625, 343137, 813345, 1588455?\nAnswer: 2744673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 11316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -4*q + 277. Let w = -1 + 7. Suppose -5*j = -2*m - q, -j + 2*m - 85 = -w*j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, z: 11}. What is prob of picking 1 z and 1 g?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z + 42 = 6. Sort 1, 8, z in descending order.\nAnswer: 8, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.173895498 rounded to two dps?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w = 19*w + 693. Let m = -153 - w. Suppose -4*p = l - 264, -12 = p + l - m. List the prime factors of p.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5674*d**2*m**3 + 7342*d**2*m**2*p + d**2*m*p + 5*d**2*p + d**2 + 340*m**3*p wrt m.\nAnswer: -34044*d**2 + 2040*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -317*g**5\/5 - 74*g**4\/3 - 101*g + 1. What is the third derivative of q(f) wrt f?\nAnswer: -7608","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2887 times -1.9?\nAnswer: 5485.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/7 + 115*(-2)\/(-70). Which is the smallest value? (a) 0.3 (b) 2\/13 (c) -2 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46*b**2*z - 3*b**2 - 4*b*z - 28*b wrt b.\nAnswer: 92*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 11029956 divided by 2\nAnswer: 5514978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 50215302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -0.09 (c) -151.1 (d) 5 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1307\/100 - -288\/25. Let p = -559\/4 - -138. Let h = w - p. Which is the nearest to 0? (a) 1\/3 (b) -2\/5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 r, and 1 i when four letters picked without replacement from rrhhrihhh.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -0.4. Let d = -0.2 + r. Let q = -0.378 - -0.378. Which is the nearest to 0? (a) 2\/11 (b) d (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -162\/218653, -2\/7, 4 in descending order.\nAnswer: 4, -162\/218653, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 9 = -0*p. Suppose -f + 8 = -43. Suppose -o + h + 9 = -2, 3*o = -p*h + f. Is 14 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2*t + 0*t - 4 = 0, 5*s = t - 5. Which is bigger: s or 2\/77?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4495, 8693, 12591, 16189, 19487, 22485, 25183?\n\"Answer: -150*u**2 + 4648*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -14*w + 94. What is the smallest common multiple of b(6) and (-10 + 1)\/(-1) + 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1379 - 482. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3 = 4*d + 9, 0 = 5*i + 2*d - 22. Suppose 2*k - 6 = i. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 divided by 1171000?\nAnswer: -31\/1171000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.1, 1, -1, 0.4, 288?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-y**2 - y**2 - y**2)*(-3 + 2 - 3) - 4*y**2 + 10 - 10)*(14*y**2 - 25*y**2 - 16*y**2) in the form h*y**3 + j*y**2 + a*y**4 + w*y + n and give a.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1.2, 2.408, 1\/6.\nAnswer: -3, 1\/6, 1.2, 2.408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -7*d + 2*l + 86, -3*l = -5*d + 8*d + 120 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 68800 by -8600.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (7161\/165 - 44)*10\/(-63)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*2*sqrt(637)*5.\nAnswer: 210*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(480))\/(3*sqrt(60)\/sqrt(6)) + 4.\nAnswer: -4*sqrt(3)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4950 divided by 825.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1450635822.\nAnswer: 2, 3, 419, 192341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 3*c**2 + 3. Suppose -3*z - 10 = -2*j + 6*j, -3 = -3*j + 3*z. Let p be 9\/(3*(j - -2)). Give u(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3088377773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 276\/27 + 6\/(-27). Let i = 9 - j. What is the closest to -3\/4 in i, 4, 3\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3115)\/(-178) - (-2 + 5\/2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -737, 20, 3 in ascending order.\nAnswer: -737, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 350297 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, g: 1, j: 4}. What is prob of picking 3 j and 1 i?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 9 - 1. Let v(d) = -t + 2*d + 42 - 16. Let w be v(-7). Solve -6 = -2*s + w*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1582, -1583, -1580, -1573?\nAnswer: -1562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 52010, 51913, 51826, 51755, 51706, 51685, 51698, 51751?\n\"Answer: f**3 - f**2 - 101*f + 52111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*g**2 + 4*g**2 - 10 + 9)*((5 + 1 - 4)*(0 + 0 - 1) + 83 + 193 - 40) to the form q*g + y*g**2 + s and give s.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2098, 4190, 6282?\n\"Answer: 2092*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.27 in -0.5, 4, 58?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kpk when three letters picked without replacement from {l: 3, p: 2, k: 6, d: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -737844.47707 - 450.8.\nAnswer: -738295.27707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43.2, -8.7, 2 in descending order.\nAnswer: 43.2, 2, -8.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 357 = -2*s + 190, 0 = -s - 2*h + 273. Let i = 62 - 58. Suppose 4*p + y = -4*y + 321, i*p - 5*y = s. Does 37 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 228 - 228. Solve 2*z + 2*n = o, 5*z = 2*n - 3 - 18 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -1, 2, 329?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 250, 201, 152?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 5 - -5) + (-147 - -133).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 282, -5 in decreasing order.\nAnswer: 282, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 20 = 5*h. Let c = -3 + h. Let x be 3\/9 - 3\/9. Is x < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3013500 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o**2 - 100*o + 77. What is z(-34)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 455876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2686 divided by -17?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -364 + 717 + 11*y**2 - 357 + (0 + 0 - 2*y)*(-3*y + y + y) + 3*y - 3*y - y**2.\nAnswer: 12*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 310026 and 18386.\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -19*q + 233*q**2 + 78 + 285*q**2 - 517*q**2 = 0?\nAnswer: 6, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 5*l - 4. Let b be h(4). Let f = -7417 + 7419. Solve -f*x + 5*g = -25, x = -b*g + g + 5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12866.132 to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 537 - 537 - 2*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -9. Let o = 26 - a. Is 10 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -200 + 133. Let x = v + 104. Let j = 17 - x. Which is the second biggest value? (a) -4 (b) j (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28302*g**6 - 3*g**2 - 6*g + 46 wrt g.\nAnswer: 3396240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 31*q + 88. Let l be p(-32). What is the second derivative of 79*x - l*x**2 + 28*x - 52*x wrt x?\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 13*u - 29. Let x be c(8). Let p = x - 73. Suppose p*m = 4 + 84. Calculate the remainder when m is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5762 = -5*h + q, 0 = 4*h - 2*q - 476 - 4136. Let s = h + 1427. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 323840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 times -0.1?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9563 divided by -3433.\nAnswer: 9563\/3433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tptartut. Give prob of sequence rup.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 4\/346353?\nAnswer: 4\/346353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -10*w**2 - 10*w + 1. Calculate y(-6).\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -144104, -143947, -143686, -143321, -142852, -142279, -141602?\n\"Answer: 52*p**2 + p - 144157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000094062 rounded to 7 decimal places?\nAnswer: 0.0000941","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-4)*1*(-4)\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 - 0.1. Let w = 0.13 - 7.13. Let q = w + 10. Which is the nearest to 0? (a) 2\/15 (b) q (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 313 - 313. Suppose q*z + 3*z - 2*t = 4, 0 = -4*z - 3*t - 6. What is the nearest to 2 in -1.6, z, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + o**2. Let p = 2 + 0. Let b(v) = -185*v**2 - 3*v**3 + 371*v**2 - v**5 - v**4 - 183*v**2 + 6*v**3. Let m(y) = p*g(y) - b(y). Solve m(n) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 4 (c) 1\/6 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 176518103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -9. Suppose -h - b*n + 9 = 0, 0 = 4*h + 4*n - 24 + 4. Solve h*y - 4 = -4*o, -5*o + 2 = -3*y - 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51764 divided by 25882\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 510 - 516. Suppose -2 = -4*y - 3*h + 2*h, 2*h = -4*y. Suppose 2*r - y = 9. Which is the second smallest value? (a) 1\/4 (b) r (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -69244*j**2 - 55*j + 194. Let h be f(4). What is h rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 139 + -146. Find the common denominator of -15\/4 and ((-125)\/192)\/(s\/(-14)).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14455 is divided by 104?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 4. Suppose 0 = -h*j + 36 + 4. What is the highest common factor of 5 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1486393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4 + 2)*(i**3 - 4*i**3 + 5*i**3) - 8*i**3 + 7*i**3 - 6*i**3.\nAnswer: -19*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y - 15*y + 661080 = -6*y. What are the prime factors of y?\nAnswer: 2, 5, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 610 <= 608?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 2\/7, 0.1, -6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*p**2 + p + 629*p**2 + p.\nAnswer: 766*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 v when three letters picked without replacement from vekjevvv.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(25) - sqrt(400))*1)\/(sqrt(50)\/sqrt(40)).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*s = 0, -4*v - 1 = -8*s + 5*s. Suppose -v*f - 2*f = -n + 10, 3*n + 5*f = -4. Solve -4\/11 + 3\/11*m**n - 2\/11*m**3 - 1\/11*m**4 + 4\/11*m = 0 for m.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l**2 + 4*l**2 + 2*l**2)*(55 - 17 - 38 - 927*l) to the form o*l**2 + z*l + c + s*l**3 and give s.\nAnswer: -6489","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -10*b**3 - 6*b**2 - 6. Let i(r) = 3*r**3 + 2*r**2 + 2. Suppose 6*n + 43 = 91. Let x(f) = -7*f + 63. Let d be x(n). Determine d*i(o) + 2*t(o).\nAnswer: o**3 + 2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.228 + 3345.726.\nAnswer: 3345.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00390063075 to five dps.\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 0*b - 3*w = 22, 3*b = w + 11 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062454669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -16*a. Let f(w) = -32*w - 177. Let z be f(-6). Let c(j) = 217*j - 224*j + z - 15. What is c(q(r))?\nAnswer: 112*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 divided by 6?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -143288*x**5 + 139212*x?\nAnswer: -2865760*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v - 21. Let b be w(-19). Suppose b + 60 = 3*c. Is 18\/48 - (-3444)\/c a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9288?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-3))\/(6*2\/216). Suppose -3*g = 4*j - 28, -3*g + 5*j = -63 + 17. Solve 0 = 4*y - 2*c - x, -2*y = -y - 2*c - g for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -109\/66 - -11\/6. Let h = -26.58 - -25.58. What is the closest to 0 in b, 1\/2, h, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l - 5*l + l**2 + 8*l. Let a(j) = j**2. What is t(a(z))?\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 558038671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41.39 - 0.39. Let g = f + -41.5. Sort 2\/13, 0.2, g in decreasing order.\nAnswer: 0.2, 2\/13, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -10*q - 28. Let c(d) = 3 + 7 + 71*d - 35*d - 37*d. Let w be c(q). Calculate the highest common factor of w and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 5*a + 8. Let t be w(4). Let d(z) = 9 + 2 - 4 - t*z**2 + 5*z**2. Let f(i) = i. What is d(f(o))?\nAnswer: o**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1829*x + 3005*x - 1 + 3532*x.\nAnswer: 8366*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174982463 is divided by 1048.\nAnswer: 1047","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -7. Let s(b) = 41*b**2 + 27*b + 77. Let c be s(-3). Suppose -c + 61 = -19*u. Solve -u = -2*h + t*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7733.\nAnswer: 11, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 1 - (3 - (-12 + 1))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -2\/15 (b) -1 (c) -0.1 (d) 2.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -27*o**2. Let h(d) = -1943*d**2. Let t(c) = c**3 - 9*c**2 - 4*c - 62. Let x be t(10). Let u(j) = x*h(j) + 145*g(j). Let b(q) = -2*q. Give b(u(l)).\nAnswer: 58*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -4*a**2 + 1\/12*a**4 + 1\/3*a**3 + 0 + 44*a. Suppose 0 = 2*m - m + 6. Calculate z(m).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*b - 15*b - 5 - 1, y + 1 = 2*b for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -1. Let j(m) = m + 4. Calculate j(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**2. Let c(f) be the third derivative of -f**6\/20 - 5*f**3\/2 - 31*f**2. Let r(i) be the first derivative of c(i). What is m(r(k))?\nAnswer: -648*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.2, 0.5, -1\/6, 6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 2*a = -28, -456 = 4*s - 4*a - 492 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4*sqrt(7)*1)**2 + (((-1*sqrt(140))\/sqrt(5))\/sqrt(4))**2 + (-4 + 0 + sqrt(700) + -2)*4.\nAnswer: 40*sqrt(7) + 207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**2\/4 + 2080945*z\/2 - 29133279\/4 = 0.\nAnswer: -4161897, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lpf when three letters picked without replacement from ofpofffdodpoloodllo.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -819*z**4 - 3*z**3 - 768*z wrt z?\nAnswer: -9828*z**2 - 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2131 - 123?\nAnswer: -2304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7579279ml to litres.\nAnswer: 0.0007579279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -881028 = -4*q - 0*q. Let n = q - 850257. Round n to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4664521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 210\/(-36))*(13845\/(-781) - (-6)\/(-22)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -i**5\/60 - 7*i**4\/24 - 4*i**3\/3 + 4*i**2. Let d be q(-5). Let k(a) = -a. Calculate k(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1199*a + 358*a + 387*a + 8*a**2 - 2 + 367*a as t*a**2 + i*a + u and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -cd7f (base 16) in base 6?\nAnswer: -1043315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.11 (b) -15 (c) 3\/5 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(35)\/(sqrt(500) - (sqrt(500)*-1 + sqrt(500) - sqrt(500)))*-5.\nAnswer: 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2808\/108 + 1 + -4\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6127, 6298, 6471, 6646, 6823, 7002?\n\"Answer: w**2 + 168*w + 5958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -10.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m = 5*d - 10*d + 19, -2*d = -7 + 9 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-66) - 380\/264)\/(3\/14).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/135 + (-40)\/90.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + bee8?\nAnswer: beed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 3:51 AM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 13. Is (24 - -4) + -3 + b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.127 and -0.1?\nAnswer: -0.0127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 5b?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 416 + 193 + 194 + 206 + 19*m - 1005.\nAnswer: 19*m + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -22, -14, 3, 5 in descending order.\nAnswer: 5, 3, -1, -2, -14, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 313256 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (0 + -2)) + 2 + -4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100 + 1011?\nAnswer: 11111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2083*t - 18805. Calculate n(-9).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -4*j - j + 325, 0 = -c + 5*j + 75. Is c a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 4*x**2 - 1488*x + 138384 = 0.\nAnswer: 186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 127, -10 in decreasing order.\nAnswer: 127, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 839407 is divided by 4503?\nAnswer: 1849","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5\/276 - -63\/92. Which is the closest to t? (a) 38\/5 (b) -3\/5 (c) 2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3416 - -857. Is (-45)\/27*(-5)\/((-5)\/r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42.81 + -43.21. What is the nearest to 19 in -0.6, l, 0.5, 1\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 4 + 3)*(25*r + 370 - 190 - 179).\nAnswer: -150*r - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.203 - -0.203. Let w = -658 + 675. Let o = -5 - -7. Which is the closest to q? (a) o (b) w (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jyyj when four letters picked without replacement from {j: 2, e: 2, p: 2, y: 4}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 11 = 3*r - 3*v, 0 = v + 1. What is the highest common factor of 3 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 7:13 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101111 + -100010000010?\nAnswer: -100011110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 9*v**2 - 9*v - 3. Is 4 a factor of o(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 26*j - 42. Calculate q(27).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -1. Suppose f*d = 5*d + 1. Let z = 42 - 128\/3. Is d bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4254 is divided by 353.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 10 = -a, -5*a + 6*i - 12 = -3*a. Suppose 3*v + 5*u - 6 - 30 = 0, 0 = -5*v - 3*u + 44. Is a less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -230166 (base 8) in base 12?\nAnswer: -39132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11536827737024 - 20.\nAnswer: -11536827737044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 2, 3 in decreasing order.\nAnswer: 19, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -334 = -26*p - 48. Let o(z) = z**2 - 8*z - 9. What is o(p)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 1:24 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -118*g + 3192. Let c be v(18). Calculate the highest common divisor of 636 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 4*v**2 - 2*v + 1. Let o be i(-3). Let d = 0.7 + -1. Let x be (-1)\/(49\/14)*(-1 - 6). Which is the third smallest value? (a) d (b) o (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 38 = 2*s, -134 = -12*l + 7*l - 4*s. Is 15 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 156*x**2. Let k(y) = -46*y + 1. Calculate s(k(q)).\nAnswer: 330096*q**2 - 14352*q + 156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15888 and 17874?\nAnswer: 142992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 139, -6, 4, 4\/9, -0.4 in descending order.\nAnswer: 139, 4, 1, 4\/9, -0.4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-606)\/10)\/(50\/(-4500))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64407604.\nAnswer: 2, 251, 64151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -229*u. Let z(i) be the third derivative of 5*i**4\/24 + i**3\/3 - 10*i**2 - 2*i. Let t(m) = 3*m + 1. Let k(j) = -2*t(j) + z(j). Calculate d(k(n)).\nAnswer: 229*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 727 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 18. Which is the smallest value? (a) -4 (b) 4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61825953919.00000522 - 61825954429. Let a = 510 + v. Round a to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2235610 or -2235593?\nAnswer: -2235593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/4923 and -127\/667340?\nAnswer: 6006060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 866 a factor of 1543505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 6*z - 3. Let j(n) be the first derivative of 7*n**2\/2 - 4*n - 54. Calculate 2*j(o) - 3*k(o).\nAnswer: -4*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -11219 + 11219 + 20*m + (-1 - 1 + 5)*(6 - 6 + 2*m) as o + r*m and give r.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 43822, 88638, 134452, 181264, 229074, 277882, 327688?\n\"Answer: 499*d**2 + 43319*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1022*z - 1435 = -2457 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zzruzzuuuurzu?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5623 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eep when three letters picked without replacement from {w: 3, p: 6, e: 6}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4)\/(65\/(-26))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1411.\nAnswer: 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -445760 by -20.\nAnswer: 22288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298*i + 268*i = 300 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21.82 - 23. Let u = -16 + 17.2. Let y = j + u. Which is the third smallest value? (a) y (b) -2 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 37, 13, -29, -95, -191?\nAnswer: -323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 + 3*o**2 - 5*o**2)*(0 + 1 + 1) + (0 + 2 + 0)*(5*o**2 - 5*o**2 - o**2) - 4*o**2 + o**2 + o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**4 - 2*z**4 + 2*z**4 + (2*z**3 + 4*z**3 - 3*z**3)*(z + z - 3*z) + 0*z**4 - 2*z**4 - 2*z**4.\nAnswer: -6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 0.1. Let k(u) = -u - 1. Let o = 3 - 5. Let h be k(o). What is the third smallest value in n, h, 0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30396 to the power of 1\/2, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 3*v - 6. Let r be j(-5). Suppose 3*k = -6 - 3. Suppose -5*x = 4*n - 7*n - 17, -21 = -x + 5*n. Sort x, k, r.\nAnswer: k, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14.47356 and -2.\nAnswer: 28.94712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -7, -4\/7, -5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 3 - 48\/(-21))*1. Let h = -5 - -5.03. Let a = h - 0.43. What is the third biggest value in a, 2, j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2. Let r = 5 - 7. Let f be 0 + r + -1 + 5. Let u(w) = 5*w + 2*w - f*w. Give u(c(k)).\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**4 - 22916*z**3 + 1385688*z**2 - 15277984*z - 16686592 = 0. What is z?\nAnswer: -1, 16, 46, 5668","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -4. Let j(z) = z**3 + z**2 - z - 2. Let c be j(y). Let i(u) = 13*u + 5. Let h(r) = -10*r - 5. Let d(k) = -4*h(k) - 3*i(k). Give d(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 477059, 954890, 1432721, 1910552?\nAnswer: 2388383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 + -32. Let k = 50 + -35. Let j = k - 9. Calculate the smallest common multiple of j and o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25) + sqrt(1225)*-2)\/(sqrt(35)\/(sqrt(7)*2))*-6 + -1.\nAnswer: -1 + 156*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/4, 0, -2, 2\/5, -5\/6?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 35 = 4*y. Let z = 11 - y. What is the common denominator of 3 + z\/((-240)\/207) and -69\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**3 + n**2 - 2*n - 2. Let i(a) = 14*a**3 + 4*a**2 + 13*a + 15. Give i(m) + 6*w(m).\nAnswer: 2*m**3 + 10*m**2 + m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 + 57 = -3*u + c, -302*c = 2*u + 914 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 0.849, 4, -1\/8 in decreasing order.\nAnswer: 4, 0.849, -1\/8, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-5) - 14\/(-35))\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -4 + 6 - 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -197110 * 1.99.\nAnswer: -392248.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -73\/78 + 10\/13. Let h = 43 - 34.7. Let j = h + -8. What is the second smallest value in j, g, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/21040 and 46\/291.\nAnswer: 6122640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16112 divided by -6.\nAnswer: -8056\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 3 - (-1)\/1. Let z(b) = 2*b**2 - g*b**2 - b**3 + 6*b - 2*b**2. Does 16 divide z(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yeyyryefnffefrgfnf. What is prob of sequence fgy?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 - 556\/15. Let x = 10 - 22. Let k be (-2)\/x*4\/(-3). Which is the third smallest value? (a) k (b) -2\/13 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -55, 35297 in ascending order.\nAnswer: -55, 4, 35297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**5 + 278956597*b**4 + 114109847*b?\nAnswer: -40*b**3 + 3347479164*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + -0.1. Let r = -15233 - -15232. What is the nearest to d in -5, r, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + 2 - 10 - 5*g + 2 + 0. Let x be z(6). Solve 2*m + 6 = -x for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 8) to base 2.\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1793779281 - -1\nAnswer: 1793779282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*w - 304 = -607 + 11277. Let l be (177\/(-12))\/(1\/(-4)). Calculate the greatest common divisor of l and w.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.086 - -0.014. Let m = -1.22 - -0.22. Which is the fourth smallest value? (a) -0.5 (b) 3\/43 (c) r (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02258461 to 3 decimal places.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16493088830807 + -5.\nAnswer: 16493088830802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = n + 22 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**2. Let t(s) = -s**2. Let v(a) = 2*g(a) + 3*t(a). Let o(i) be the first derivative of -i**2 - 5. What is v(o(q))?\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (135792 - 135792 + 296*z)*(1 + 1 + 1) + 2 - z - 2 to the form i*z + u and give i.\nAnswer: 887","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*0.071\nAnswer: -0.0426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39548 + 65325. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3686443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 + 210*t**2 + 11888*t + 151776.\nAnswer: (t + 18)*(t + 68)*(t + 124)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) -0.8 (b) -0.06 (c) 0.5 (d) -3\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-3 - (4 - (-243)\/(-63))) - 6?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjllllj. Give prob of sequence jlj.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2 - 9*z + 4 - 68*z**2 - 8 + 69*z**2 - 2. Determine d(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45541361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -497.1 + 499. Which is bigger: d or 2\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143392 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 37 = -3*b - 3*u, -2*u = 4*b - 42. Suppose b*g + 28 = 184. Let d = -7 - -37. Solve 0 = 2*p - x - g, -p + d = 3*p - 5*x for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 148 = 3*y, 2*y + 0*q - 2*q - 92 = 0. Let 12*f + f**4 - y - 9*f**2 - 12*f**3 - 4*f**4 + 53 = 0. Calculate f.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 132*i**3 + 2*i**2 - 2*i - 234. List the prime factors of z(1).\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-5) - 66\/(-10). Suppose 0 = -k*x + 2*x + 20. Suppose 5*g - 14 = -4. Put 0, g, x in increasing order.\nAnswer: 0, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 616788 to the nearest integer?\nAnswer: 785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161056 is divided by 53672.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -2, 1\/11, 94, 1\/31?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 130*u**3 - u**2 - u + 1. Suppose -s = -0*s - 1. Let q be d(s). Let i = q + -73. Is 14 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37dd0 (base 15) to base 8\nAnswer: 534674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 73*b - 3803. Give t(52).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*v - v + 47, -2*v + k + 23 = 0. Suppose 21*h = v*h + 180. Factor 6*s**2 - 11*s**2 + 8*s**2 - h*s.\nAnswer: 3*s*(s - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75, 96, 131, 180, 243, 320?\nAnswer: 411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-7 - -4 - (-4 - 0)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + h = 0, 2*x = -0*h - 3*h. Suppose 9982 = -36*c + 1558. Let o be -2*(-4)\/72 - 442\/c. Solve 3*u - 2*m = x, o*u + 3*m - 15 = -u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 3\/2, -2.3, 0.1, -2, -206?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3236777 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: Is 7 a factor of 597485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/21 - 547529720*s\/21 - 37473599285409800\/21.\nAnswer: -2*(s + 136882430)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 236, 436, 646, 866?\nAnswer: 1096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*h - 9*d + 12*d + 109, -h = -2*d + 18. What is the smallest value in -500, h, -4?\nAnswer: -500","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*h, -5*x = -6*h + h. Suppose 0 = 4*c - 5*c + 3*q - 7, c - 2*q + 3 = x. Let p(d) = 0*d**2 + 6*d**2 + c*d - 4 - d + d**3. What is p(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/32)\/((-9)\/40)*(-10)\/(-50)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 113*o**2 - 450*o - 10. Let q be p(4). Let s = -1 - 8. Let b = -1 - 0. Put s, q, b in descending order.\nAnswer: b, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 15*t**2 - 10*t + 11. Let n(r) = -23*r**2 + 15*r - 17. Let o(q) = -5*n(q) - 8*u(q). Let v be o(3). List the prime factors of v\/(-1) - (-1 + 1).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1404490.24 rounded to the nearest one thousand?\nAnswer: 1404000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -213 divided by 4\nAnswer: -213\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 0 + 30 = 0. Suppose 0 = -p*a + 2*a + 32. Let b = -3 - -5. What is the smallest common multiple of a and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 0.7. Let q = -2 + 1.83. Let t = q - -0.57. Sort b, 0.3, t in increasing order.\nAnswer: b, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 - 72. Let l = o + 29. What is the nearest to -0.1 in l, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6208 - -15001. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 2. Let t be k(2). Suppose -g + 11 = -2*p, -11 = g - t*g - p. Calculate the lowest common multiple of g and 31.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 178 - 173. What is the nearest to 1 in -0.3, d, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (8 + -28))\/(-1)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/(-6))\/(-3 - 0). Let w = 13\/4 - 47\/12. What is the closest to 0 in 1, w, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 748931353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-6)*14\/147*15 - 165856\/(-50808)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.09 - -10.09. Let p = n - 10.09. Which is smaller: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**3 + 17*t**2 + 4*t + 2. Let u(m) = -3*m**3 + 25*m**2 + 7*m + 3. Let o(k) = -7*h(k) + 5*u(k). Give o(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14 + -36489?\nAnswer: -36475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 698176*r**5 - 2*r**2 + 4324322*r.\nAnswer: 13963520*r**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -1234?\nAnswer: -1233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 26795094*m - 31527523.\nAnswer: 26795094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jmjmmggmjmgjgg. Give prob of sequence mjg.\nAnswer: 25\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/52 (b) 451.3 (c) 5\/3 (d) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 127 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - (2\/(-13) + 33\/(-39)). Let g be (-156)\/(-36) + 4\/t. Solve -2*i = g*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {k: 1, n: 7}?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t + 0*t = 8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1326146 + 0.2276. Let v = 0.095 - g. What is v rounded to six decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b52 (base 13) in base 3?\nAnswer: -2122100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of k**7\/630 + k**6\/240 + k**5\/120 - k**4\/24 + 2*k**2. Let g(x) be the second derivative of m(x). Is 12 a factor of g(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 14*a + 24. What is d(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -477.321665 to 0 decimal places.\nAnswer: -477","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 320*j - 2. Let m(t) = -2203*t - 6. Calculate w(m(d)).\nAnswer: -704960*d - 1922","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 take away -808.5?\nAnswer: 791.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -473 - -1178. Is 32 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0 + 26 + 6794340\/(-261800) and 1\/110.\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**4\/5 + 152652*w**3\/5 + 19017988*w**2\/5 - 38493948*w\/5 + 19323304\/5 = 0. What is w?\nAnswer: -38038, -127, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1215854.87 + -1210425. Let f = 5484 - l. What is f rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2124767467 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*z**2 + 8*z**2 + 2*z - 2*z**4 + (1 - 1 - 1)*(-z**4 + 1 - 1) + 3*z**4 - 4*z**4 + 3*z**4 + 6*z**4 + 4*z**4 + z**4.\nAnswer: 12*z**4 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.513 - 0.443. Let p be ((-7)\/(224\/24))\/((-2)\/8). What is the nearest to k in -2, p, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2. Let o(h) = -151054*h. Give o(a(y)).\nAnswer: -302108*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*h**2 - 9*h**2 - 13*h**2 + 6*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22562.\nAnswer: 2, 29, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 + -8 - (-15 + -78)) + (-13 - -5).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o - 10. Let f(y) = y + 10. Let h(a) = -2*f(a) - 3*n(a). Let j be h(-5). Suppose 3*g + c = 43, -j*g - c = -62 - 9. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.0709 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/5, -2\/19, 1869\/4, -0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + -7 - (-8 + (0 - 0) + 3).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -8 + -1 + 40\/18?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 17, 1, -1, 2, 5, -26 in decreasing order.\nAnswer: 17, 5, 3, 2, 1, -1, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*u = -33*u - p - 15, 4*u - 30 = -2*p. Is u greater than 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 693.96 - 646. What is l rounded to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68921828?\nAnswer: 2, 67, 257171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/27? (a) 0 (b) -8\/3 (c) -1\/8 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 860415, 860414, 860405, 860382, 860339, 860270, 860169?\n\"Answer: -h**3 + 2*h**2 + 860414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(4 + -3 + 25). Solve 3*r - 22 = -5*q, 0 = r - 5*q + p - 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -205 and 81?\nAnswer: -16605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 + 1001100202201?\nAnswer: 1001100202222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, j: 4, c: 2}. What is prob of picking 2 j and 1 c?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 9:22 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 r when two letters picked without replacement from {r: 1, j: 1, l: 1, d: 2, k: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggjgjjjjjjjygjjg. What is prob of sequence gggj?\nAnswer: 5\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 260 - 260. Solve 0 = -2*m + 4*m - n - 12, p = -m + n + 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 - -1.50512034\nAnswer: -23.49487966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 93 (c) 7.76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 96.\nAnswer: -384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/540702 and 15\/2542.\nAnswer: 22168782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 220 - 233 = 0. Let i = -93 - w. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, n: 1, s: 1, u: 2, e: 1, k: 1}. What is prob of sequence kzue?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1977 = -43*b + 302. What is the remainder when b is divided by 97\/11 + 8\/44?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2960 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7 - 0)*(-28)\/98. Suppose -5*b + 15 = -a*b. Calculate the greatest common divisor of 5 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 8 = -16. Suppose -9*f = o*f - 1474. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 5*v + 2*t, 0 = 4*v - 2*t + 96 - 84 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - a - 3 - a)*(3*a + 3*a - 2*a) to the form j + v*a + y*a**2 and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -37, 3650, 13635, 33056, 65051, 112758, 179315, 267860?\n\"Answer: 523*c**3 + 11*c**2 - 7*c - 564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -96*x + 12. Let a be r(-9). Suppose -3*w = -7*w + a. Suppose -o + c + 56 = -0*c, 4*o - w = 3*c. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-29 + 4)\/(-1) + -1*1. What is the highest common divisor of 264 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34 - 17 - h**2 - 15 - 15*h to the form y*h + k + p*h**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 3371*o**3 - 5623*o**3 + 2255*o**3.\nAnswer: 3*o**3 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from evv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 3*q**2 + 4*q + 3. Let s be h(-4). Let b be 60\/4 + -1 + 1. Solve s*y + b = 6*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 37722 and -5.\nAnswer: -188610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - 0 - 2*-1. Let l = -18644\/7 - -2669. What is the common denominator of l and 1\/2 - (-77)\/s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 240 = 5*o, 11*o + 140 = 2*j + 16*o. Solve -8*w - j*w - 58 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 j when four letters picked without replacement from {p: 1, j: 3, b: 9, i: 2, o: 4}.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (34\/(-8))\/(7\/(-28)). Suppose p = 3*k + 2*n, 4*k - 22 = 2*n - 4*n. Let v = 7\/6 - 3\/2. Which is the third smallest value? (a) v (b) 0 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48\/5 + -134\/15. Let u = 0.19 + -0.21. Let x = -0.02 - u. What is the nearest to f in -5, x, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 18 = 3*k, k - 3*w = -0*k + 10 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 468 and 7839.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-10948)\/(-42) - (-2)\/6.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40855 is divided by 13616.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 164*d**2 + 491*d + 1690. Give r(167).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (13584*l + 2*l**2 - 3 - 27758*l + 2*l**3 + 13524*l)*(-2*l + 2*l + 2*l) as m*l + v*l**2 + n + a*l**3 + k*l**4 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3765*f**2 - 5*f**3 + 9*f**3 + f**3 + 3765*f**2 + 4*f. Let c(h) = -20*h**3 - 15*h. Let s = -9 - -13. Determine s*c(d) + 15*v(d).\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19143913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 33 = 9. Does 2 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-10)*(-5)\/1. Suppose 4*z + x*z - 128 = 0. Suppose 19*h = z*h - 24. What is the second biggest value in h, 3, 5, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 3236?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 12*f + 4. Calculate o(7).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 367*y**3 - 375*y**3 + 6*y**2 - 3*y**2 + 184*y + 2*y.\nAnswer: -8*y**3 + 3*y**2 + 186*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5988, -5985, -5982, -5979, -5976?\n\"Answer: 3*j - 5991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.4 and -146635?\nAnswer: 351924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**2 - 2*c + 1. Let a = 5 - 3. Suppose a*d + 13 = -5. Let g be ((-2)\/6)\/(3\/d). What is u(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 37 + 3d?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -v + 2*m - 20, 3*m = -4*v. Let g(o) = -o**2 - 5*o - 1. Let b be g(v). Suppose b*z = 177 + 38. Is 35 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m**3 - 9*m**2 - 6. Let p(i) = -3*i + 8 - 3 + 2*i**3 + 3*i + 8*i**2. Let x(n) = -5*k(n) - 6*p(n). Factor x(d).\nAnswer: 3*d**2*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 699 is divided by 103.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 75 + 10 - (-5 + -1 + 31)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 54451\/403 greater than or equal to 136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 2:17 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33 + 12 - -7) + 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 83 + -76. Let q(x) = 11*x + 2. Let h(o) = 9*o + 1. Let m(a) = 6*h(a) - 5*q(a). Let i(p) = 1. Determine v*i(g) + 2*m(g).\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-216)\/(-44) - 5)*-1. What is the closest to 2\/5 in 4, d, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 0 - (-1)\/3*50637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212 + 399 = 47*i. Solve 0 = i*c + c - 84 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47861?\nAnswer: 11, 19, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9938, -7559, -1100, 11479, 32218?\nAnswer: 63157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - w - 3*w + 989 = 0, 2*w + 8 = 0. Does 13 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**4 + 225*h**3 - 9858*h**2.\nAnswer: 3*h**2*(h - 31)*(h + 106)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 491894038 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3 - 11*p**2 + 9090*p.\nAnswer: -p*(p - 90)*(p + 101)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(245)*-2 + sqrt(245)))\/(sqrt(14)\/sqrt(32)))\/(sqrt(7) - (sqrt(560) - sqrt(35))\/sqrt(5) - (sqrt(7) - sqrt(343)*-3)).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 - (2 + -8 - (199 - 194)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 1 = -2*s, -210*s + 12 = -3*k - 207*s for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/2)\/((-3)\/(-36)). Let q = j + 20. Suppose -n - 1 = -4*d - 6, 0 = -n - 5*d + q. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -2*h**5\/115 + h**4\/23 + 14*h**3\/69 + 4*h**2\/23 + 2678. Factor c(p).\nAnswer: -2*p*(p - 4)*(p + 1)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6637 is divided by 781?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -109.55, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 267956 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8c94 (base 14) in base 3?\nAnswer: 1020111222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-39)\/(-2 + 5) - 7\/(-1). Let w(x) = -x - 1. Let v(u) = 4*u - 3. What is z*w(j) - v(j)?\nAnswer: 2*j + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 2*b**2 + 2*b + 1. Suppose -15 = 4*u + u. Let r be (0 - 1 - u) + -6. Let h be r\/(-6)*12\/4. Give d(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 0.1394.\nAnswer: 0.04182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 655566 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 483414890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -229*b**3\/3 - 6*b**2 - b - 333. What is the second derivative of v(m) wrt m?\nAnswer: -458","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8*(-664)\/16 - -7. Let n = k + 358. Calculate the remainder when 195 is divided by n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184886268 is divided by 9598.\nAnswer: 9592","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4773.00000132 + -4773. Round d to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8032 to two decimal places.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9 - (5 - -11) - -23. Solve -r = -4*x, 4*t + 3 + 25 = 3*x for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -70602 = -76458?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100 = 64*o - 39*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21221869 or -21221874?\nAnswer: -21221874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 170*d**3*q + 17251*d*q + d - 1236944*q with respect to d.\nAnswer: 510*d**2*q + 17251*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to -118\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 159 = 5*z - 2*y, -5*y + 113 = 3*z. Let c = z + -28. Solve 20 = -2*v - c*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 230 and 52164.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 5)*(1534*k**2 - 2709*k**2 - 1674*k**2).\nAnswer: -5698*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12762890*d**2 - 6487103?\nAnswer: -25525780*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63596?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 + -3503?\nAnswer: -3513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 157*o**3 + 19*o**2 - 70*o - 11. Is f(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*j**3 - 4*j**2 - 852 + 852 to h + v*j**3 + s*j**2 + u*j and give v.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -2. Let p = -6 + -4. Let i = p - -7. Which is smaller: a or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000 (base 5) in base 15?\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 2. Suppose 0 = -k + s*k. What is the units digit of (k\/(-3) - 1)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*y + 3*y - 3*w + 428, 4*y + 4*w = 344. Let r = y + -80. Suppose r*o - 16406 = -8*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2083259870.\nAnswer: 2, 5, 53, 167, 23537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -91*t**2 - 3*t - 1. What is f(-1)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3875 (base 9) to base 10.\nAnswer: 2903","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.011 and -1068.\nAnswer: -11.748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5\/6, -5, -72?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6 + 5 + 0\/(-1) - -380. List the prime factors of (w\/(-15) - 10\/25)*-3.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2154 is divided by 135?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f + 38 - 82 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 87 in decreasing order.\nAnswer: 87, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 3*t + 2*t + (-1 + 1 - 1)*(-t + t + t))*(11 - 11 - 3*t) + 5*t**2 - 167 + 167.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3120*k**3 - k + k**2 + 2 + k**2 - 3 + 2 - 3130*k**3 to o*k**3 + b*k**2 + w*k + l and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + -2 - ((16 - (26 + -2)) + 20)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 291, 494, 629, 702, 719, 686, 609, 494?\n\"Answer: w**3 - 40*w**2 + 316*w + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*t - 179 = -541 + 182 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4 + 0*i - 1 - i + 14. What are the prime factors of a(0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 2 + -2 + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(17 + (-2028)\/120). Solve -3*z + 3*k = -z - 1, -4*z + 2*k = i for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 13) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 230 + -228. Sort 9, y, -36 in increasing order.\nAnswer: -36, y, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2220d (base 15) in base 3?\nAnswer: -12111210011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(320))\/(-2*(-2*sqrt(4) - sqrt(4))).\nAnswer: 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**4\/3 - x**3\/6 + x**2\/2 - 2*x. Let p be q(4). Let y = 162 + p. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114, -101, -66, 3, 118?\nAnswer: 291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5776?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 + 4*l - 10 + 3695 - 3695 + 17*l - 2*l + 2 - 2 + (4 - 5 + 3)*(-l + l - l).\nAnswer: 17*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113 (base 11) to base 12.\nAnswer: -b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.09 - -1.69. Let k = -1.5 + n. Is 3 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -3\/4*v**4 + 0*v - 3*v**3 - 3*v**2 - 8. Factor p(h).\nAnswer: -3*h*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {s: 5, d: 2, b: 3}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**7*r)\/r**(-19))\/(r**(-7))**(-31))**(-2\/9) assuming r is positive.\nAnswer: r**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 + -4.9089864.\nAnswer: -4.8389864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -79507*v**5\/3 + 14792*v**4 + 71251*v**3\/3 - 43864*v**2\/3 + 2752*v - 512\/3 = 0.\nAnswer: -1, 8\/43, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 23735515 to the power of 1\/4, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)*4)\/(sqrt(4)\/(sqrt(10)\/sqrt(5))).\nAnswer: 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, c: 9, h: 2, q: 2}. Give prob of sequence hq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of o**2 - 7. Let a(u) = -5*u**2. What is a(j(i))?\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -54*o - 8. Let a = -15 - -17. Suppose a*m - 7*m = -40. Let i be k(m). Round i to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23015 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.37 + 208.37. Let m = k + -88. Let g = -116.49 + m. What is g rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**2\/6 - 145*y\/6 + 1925\/3 = 0.\nAnswer: 35, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**2 + 688*m + 45056 = 0 for m.\nAnswer: -256, -88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 2*o + 10. Let h be v(-8). Let r = -72 + h. Calculate the highest common factor of r and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*v + 599 = -257 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, e: 7}. Give prob of sequence kk.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 15*o**3 + 2*o**2 + o + 1. Let t = 409 + -404. Is b(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20030100 (base 5) to base 8.\nAnswer: -464706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5876)\/104 + 59)*18?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4469 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: What is the remainder when 17090 is divided by 81?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 95 + -95. Suppose 3*g + 10197 = 3*k, o*k + 3*g - 3403 = -k. Round k to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 486?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79912?\nAnswer: 2, 7, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 18 = 4*f - 3*f, -3*c = -5*f - 22 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 + (-660)\/(-48))\/(6\/4)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 4*m - 2*q + 171, -3*q = 5*m + 205. Let c = m + 46. What is the remainder when c is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10746 + 10745.9. Let a be 1\/4 - 2859\/12. Which is bigger: a or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*n - 234 + 539 - 235 + 4*n + 8*n.\nAnswer: 37*n + 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 15, -1, 3, -6, 101 in descending order.\nAnswer: 101, 15, 3, 1, -1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 4*v + 1 = 0, x + 49*v + 15 = 44*v for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 7*j**2 + 4*j + 1. Let s(t) = -2*t + t - t**2 - t + t. Let p(m) = -q(m) - 6*s(m). What is z in p(z) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2. Let h(g) = g + 12. Let q be h(-9). Suppose u + 3 = 5. Let i(f) = 6*f**2 + q - u*f**2 - 3. Determine c(i(o)).\nAnswer: -16*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 394712 is divided by 19?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 29\/(-116) + 46\/(-8) - -8. Solve m + y*v = 5, 55*m = 60*m + 5*v - 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + i**2 - 13*i + 176. Let l be o(0). Solve -l + 158 = -18*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 693 = -127*g + 28*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 0*f + 0*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 16, 2*l - 268 = -2*l - o. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 0*z + a + 108 = 0, -4*z + 82 = -3*a. Suppose -2*g + 34 = -3*f, -3*f + 10 + z = 4*g. What is the remainder when 73 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 26*j - 4. Let i be (8\/(-3))\/((50\/(-45))\/5). Suppose -22*k - i = -26*k. List the prime factors of x(k).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*n - 4. Suppose 0 = 2*l - n. Solve 2 + 2 = -l*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0639 in 4, -25, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*k + 31 + 41 = 0, -3*k - 72 = -4*l. Let y = 26 - l. Suppose -3*t = -y*t + 15, -18 = -3*r + t. What is the remainder when 22 is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88772502 to the power of 1\/2, to the nearest integer?\nAnswer: 9422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**3 + 10*d**2 + 16*d - 14. Let n(m) = -m**2 - m + 1. Let u(s) = -2*h(s) - 28*n(s). Factor u(w).\nAnswer: -4*w*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*d - 22 with respect to d.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 26b?\nAnswer: -267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/(-1) - -14 - -2 is divided by ((-32)\/(-2))\/(-4) - -15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177596281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -12 + ((-27)\/(-6) - 138\/(-92)). Put d, -3, 70 in descending order.\nAnswer: 70, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 e when three letters picked without replacement from {o: 2, e: 2, b: 8}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 25. Let a be (-1*12\/y)\/(6\/(-8)). Solve 2*q**3 - q**4 + 2*q**2 + 4*q - 10*q**a + 2*q**3 + q**3 = 0 for q.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - u**2 + 15*u + 6. Let q be v(-4). Let y(m) = 7*m + 52. Let b be y(q). Calculate the greatest common divisor of b and 120.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = v - 2, 4*u = -2*v + 6 - 2. Let g(k) = 17*k + 2. Let s be g(v). Suppose s + 124 = 2*r. What is the highest common divisor of 16 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 3)*2\/(-4). Suppose 4*x - 18 = -4*v + 2*v, -2*x = 4*v - 18. Let c = x + -5. Sort c, 3, o.\nAnswer: c, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 403\/9 - (-8)\/36. Suppose -5 = 5*j + w. Is (-4)\/j + (-196)\/(-10) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z + j - 26, j + 0*j + 24 = -5*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23266269 and 117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -640*m + 235. Let r(z) = 73*z - 26. Let q(p) = -4*l(p) - 35*r(p). Give q(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 20930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 161097?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9636080 to the power of 1\/2, to the nearest integer?\nAnswer: 3104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 102*d**2 + d**3 - 2 + 4 + 118*d**2 - d**3 + d**3 - d**3 + 3*d**3 + 0*d**3 - 2*d**3 + (-3*d**2 + d**2 + 0*d**2)*(4*d - d - 2*d).\nAnswer: -d**3 + 220*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ad768d (base 14) to base 2.\nAnswer: -10110011111111110101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 152096?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 199803, 399604, 599405, 799206, 999007?\nAnswer: 1198808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 9 - 347*p + 65*p - 180*p as u*p + g and give u.\nAnswer: -462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*h)*(68*h**2 + 43*h**3 - 68*h**2).\nAnswer: -86*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 264 + -94. Suppose -5*j - 5 = -y. What is the highest common factor of 3 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.07 - 0.03. Let r = v + -0.1. Which is the nearest to -2? (a) 0.5 (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 20*a + 66. Suppose -42 = -3*b - 3*r, -3*b + 47 = b + r. Suppose 15*o - 326 = -b. Does 15 divide w(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 5*u + 34, -3*i + 15*u - 14*u = -60. Solve q - 18 = -i for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01093171926 rounded to 5 dps?\nAnswer: -0.01093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34840?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.5, -5085 in decreasing order.\nAnswer: -0.5, -2, -5085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 14. Let h = -6 + q. Let v = -55.6 - -52.6. Sort 1, v, h in increasing order.\nAnswer: v, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 8*w**2 - w + 1. Let h be m(-2). Suppose -3*f = 10 + 2, -f = -s + 39. Calculate the greatest common divisor of h and s.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/4 + 683*i**2\/2 - 49135*i\/4 - 25251\/2.\nAnswer: -(i - 1329)*(i - 38)*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -135318, -540749, -1216464, -2162463?\n\"Answer: -135142*z**2 - 5*z - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 10. Let c be a(0). Let o(p) = p**3 - 22*p**2 - 190*p + 36. Let u be o(29). Suppose -c*y - 63 = -u. Is 26 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of 0 - 7\/60*y**5 + 0*y - 1\/3*y**4 - 10*y**2 + 0*y**3. What is the second derivative of g(d) wrt d?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 42 = -3*p, 2*s - 4*s - 3*p + 30 = 0. What is the second derivative of -2*d**3 - 26*d - s*d**2 + 0*d**3 - 19*d + 10*d**2 wrt d?\nAnswer: -12*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(150) - sqrt(6))\/(5*sqrt(10)\/sqrt(5)) + 6*(0 + sqrt(12))*-1 + 0.\nAnswer: -66*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17092*a - 60272*a + 17738*a.\nAnswer: -59626*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (((-180)\/135)\/((-10)\/(-3)))\/((-5)\/25)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3803246957?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 39\/5 in -0.3, -3\/7, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(1 + 6))\/((-4)\/(-20)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4*f - 7596 = -2*z, 3*z + 38006 = -5*f. What is f rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -251, -483, -715, -947, -1179, -1411?\n\"Answer: -232*r - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 182012 divided by -32\nAnswer: -45503\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 3*c - 11 = 9*b, 4*b - 5*c + 31 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25791 is divided by 231?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 102709230 by -387582.\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 99031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -742*v + 738*v + 2*h = -9652, -5*v - 2*h + 12092 = 0. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + i = 48, 2*i + 23 + 13 = 3*m. Suppose 0 = -3*n - 3*f, 5*n + f = -0*f + m. Let s be -20 + 6 + 16 + (-2)\/(-2). Do s and n have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/5500 and -121\/30.\nAnswer: 16500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/((24\/4)\/(-6)). Let w be c + 12\/(-8) + 0. What is the fourth biggest value in 1, w, 5, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (69 - 134) + -17.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -465 - -4?\nAnswer: -461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 + -bda?\nAnswer: -bd2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -394404\/2099 or -188?\nAnswer: -394404\/2099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -134016.08 rounded to the nearest one hundred?\nAnswer: -134000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a century in months?\nAnswer: 3120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3653081811 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 72364.19ml in litres?\nAnswer: 72.36419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18324 + 18450. Calculate the remainder when t is divided by (-452)\/(-14) - (-4)\/(-14).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -8*y - 4. Suppose 0 = 2*p + 5*q + 14, 4*p - 6*q + 80 = -3*q. Is g(p) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -137, -5, 3\/986 in ascending order.\nAnswer: -137, -5, 3\/986","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 13*d - 964. Let r(q) = 6*q - 482. Calculate -4*k(n) + 9*r(n).\nAnswer: 2*n - 482","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2546?\nAnswer: 2, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223228?\nAnswer: 2, 55807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52 + 132. Let l be ((-30)\/p)\/((-3)\/42269). Let y = l - 5277. Calculate the common denominator of 17\/14 and y.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7022 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16316552 is divided by 906474.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/30598 and -37\/10.\nAnswer: 152990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 15) to base 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -30*b**2 - 103*b + 2. What is t(-4)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -13*a**4\/12 - 6*a + 8. Let d(j) be the third derivative of j**4\/24 + 5*j**2. Calculate d(o(l)).\nAnswer: -13*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (4 - (6 + -2 + -1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x**2 - 3*x + 48. What is p(0)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-4)*6\/(-9). Let x(p) = p + 3. Let k = 14 + -14. Let t be x(k). Which is the third biggest value? (a) -5 (b) t (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.21 - 0.08. Let x = i - -17.29. Let b = x + -16.99965. Round b to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4\/17 (b) -17 (c) 109\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1 + sqrt(2) - sqrt(2) - (sqrt(88)\/sqrt(4))\/sqrt(11) - (sqrt(28)\/(sqrt(21)\/sqrt(3)))\/sqrt(2).\nAnswer: -5 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20190 is divided by 105.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40801576?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*c**2*x**2 + 14147*c**2*x - 3*c*x**2 - c*x - 26*x**2 wrt x?\nAnswer: 52*c**2 - 6*c - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 10.999955. Round l to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 150*n + 6 + 146*n - 296*n + 56*n**3 to y*n**2 + w*n + a + j*n**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 17*k**2 - 19 + 19 - 4*k**2. Let r(u) = -u. What is a(r(y))?\nAnswer: 13*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 106892935?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30446.\nAnswer: 2, 13, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42348406?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6380 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14557, -14544, -14521, -14482, -14421, -14332, -14209, -14046?\n\"Answer: s**3 - s**2 + 9*s - 14566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 + 1.7. Let t = r - 3. Let c = 2.6 + -0.6. What is the biggest value in c, t, -1\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 356 divide 315976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0917 + -0.0477. Round a to 2 decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3406 and -0.543?\nAnswer: 3405.457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 16 + 30 = 0. Does 2 = x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.654 + -79.046. Let l = f + 77. Let g = l - -3.70008. Round g to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1777040 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 16, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 1)*(-3*k**2 - k**2 + 3*k**2) + 2*k - 2*k + 4*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -7\/48*p**3 + 0 + 3\/32*p**4 + 19*p + 1\/8*p**2 + 1\/240*p**6 - 1\/32*p**5. What is g in o(g) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccv when three letters picked without replacement from {x: 1, v: 4, c: 2, y: 7}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 2:00 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -14915274.6 to the nearest 100000.\nAnswer: -14900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2101 and 4?\nAnswer: 8404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 9*i - 7. Let d be w(-5). Let z = d - 11. Solve -x = 3*t + 1, 5*t - 8 = z*x + 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.09 + -2.11. Let r = 0.8 - w. Let o = 0.22 - -0.08. Which is the second smallest value? (a) o (b) 0.1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2113, 4227, 6345, 8467?\n\"Answer: 2*h**2 + 2108*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/13)*l**9)\/(l**(1\/5)\/(l**(-5\/6)\/l*l)) assuming l is positive.\nAnswer: l**(3167\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1458*x - 38 = -1496*x. Let b(m) = 2 - 18*m**2 + 17*m**2 - 1. Let n(z) = -5*z**2 + 13. Determine x*n(q) - 4*b(q).\nAnswer: -q**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 2 = 2, -5*d - y + 1047 = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-6)*66\/(-4). Sort m, -2, -4 in descending order.\nAnswer: m, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1039438?\nAnswer: 2, 67, 7757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75835 = -6622*w - 109581 for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122031303 (base 4) in base 12?\nAnswer: 159a17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70866 = -11*k + 71163 for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 4*r + 22, 9*p - 3 = -4*r + 6*p for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9510 at least as big as 9513?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 164726 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -19. Let v = q - -22. Calculate the greatest common divisor of 18 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101a331 (base 11) to base 2.\nAnswer: 110110111011011100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 15*r - 5. What is the units digit of u(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13382 + 13386. Calculate the least common multiple of x and ((-30)\/(-8))\/3*68.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341264.4 litres in millilitres?\nAnswer: 341264400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/3*(12 - 9). Let w(o) = 2*o**3 - 3*o**2 + 3*o - 3. Let s be w(-5). Let f = 11317\/33 + s. Which is the biggest value? (a) f (b) p (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 509 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -9\/2*f**2 + 8 + 0*f. Let k(m) = -m. What is k(i(a))?\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 4*w = -5*k - 12, 2*k + 7 = w - 0*w for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y - 3475066 = -3475326 for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((7260\/35)\/(-6))\/(3\/7). Let g = -81 - y. Let f(i) = -i**3 - 4*i**2 - 3*i - 1. Let s be f(-2). Which is greater: s or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 3389862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**3 - 2*b**2 + 11*b + 12. Let j be n(-3). Suppose 5*h + l + j = 42, h = -5*l + 15. What is h rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - m**2 - m + 2. Let a(y) = -264*y**3 + 6*y**2 + y - 6. Determine a(c) + 3*s(c).\nAnswer: -261*c**3 + 3*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*o = -67*o. Solve 0*q + 3\/5*q**3 - 6\/5*q**4 + o + 0*q**2 + 3\/5*q**5 = 0 for q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ecc when three letters picked without replacement from {e: 7, c: 4}.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*x + 141*x + 1163 = 22*x + 32942 for x.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(48)\/(sqrt(18)\/sqrt(3)) + sqrt(48)\/sqrt(54))\/(sqrt(36)\/(sqrt(81)\/(sqrt(9) + sqrt(18)\/sqrt(2)) + sqrt(9) - sqrt(9))))**2*-3 + -5.\nAnswer: -143\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-2)\/4*8\/(-2) and (-1080)\/(-192) - (-3)\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*j - 290 = 4073 - 83 for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 63 (b) -38 (c) 0.4 (d) -3 (e) 2\/11 (f) -1\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 8*z = u + 17, 22 = -4*z - 5*u. What is the closest to 4 in -0.5, z, -0.9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 338 + -338. Is o less than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s. Let v(u) = -8*u - 1. Let x(a) = 2*a. Let f(w) = -2*v(w) + 4*x(w). Determine f(t(l)).\nAnswer: 24*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -c**3\/6 - 4*c**2 + 3*c. Give u(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 6) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 121211?\nAnswer: 121210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 - 33*k**2 - k + 33.\nAnswer: (k - 33)*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 + -0.3. Sort m, 1, 1\/3, -4 in descending order.\nAnswer: 1, 1\/3, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -353823*z**2 - 362967*z wrt z?\nAnswer: -707646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -9*j + 4*j. Let w(x) = -j + 2 - 2 + 3*x + 3 - 4*x**2. Let h(c) = c - 1. Let f(l) = -3*h(l) + w(l). Factor f(n).\nAnswer: -4*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -27. Let c = 10 + r. Let v be c\/(-3)*(-468)\/(-60). Which is bigger: v or 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-7)*r*r*r*r*r\/(r*r\/(r**0*r*r))*(r\/r**(-1\/3)*r)**(-28))\/((r**(-6)\/r*r**0)\/((r**(-2\/11)*r*r)\/r*r*r**(-1)\/r*r)) assuming r is positive.\nAnswer: r**(-1964\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 28*a - 29*a. Suppose -7*v + a*v = 3890. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/10 and (-16)\/(-40)*(2 - 4\/(-3)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1088 times 220\nAnswer: 239360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1490? (a) -0.281 (b) -2\/11 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -910 - -909.9999881. Round g to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and -0.062483.\nAnswer: -0.437381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 5*o**2 + 3*o - 4. Let s be n(-3). Let x = 2 - 0. Solve -11 = -2*z + s*a, x*z - 3 = 4*a + 5 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o - 9. Suppose 26 = -4*v - d, -5*v - 35 = 2*d - 4. Let a be i(v). Is ((-3)\/a)\/((-3)\/(-74)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62834.\nAnswer: 2, 89, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 52143334 (base 6) in base 10?\nAnswer: 1506730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1380958 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -2*q**5\/5 - 8*q**3\/3 + q. Find the second derivative of z(j) wrt j.\nAnswer: -48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + -19 + (2 - 60\/42)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-6) + (-128)\/48. Suppose -s + 24 = s. Suppose -2*v = v + 3*f - s, -3*v + 17 = 4*f. Sort 2, v, j in descending order.\nAnswer: 2, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, e: 2, x: 1, y: 3, l: 3}. Give prob of picking 1 x and 1 l.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1060, 1056, 1050, 1042?\nAnswer: 1032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1398059141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14.2 + 14. What is the closest to z in -3, 0.3, 1\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48 - 24. Suppose 2*b - 15 = -3*b. Suppose 29 = h + 5*s, -5*h + 65 = 2*s + b*s. What is the remainder when u is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 7*x**3 - x**2 + x - 1. Let n(f) = f**3 + 0*f**3 + 6*f + 1 - 5 - 6*f**2. Let h be n(5). Calculate j(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -364 + 1?\nAnswer: -363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -15207246000 to the nearest 1000000.\nAnswer: -15207000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -98722 (b) -5 (c) -1\/88\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -11*s**2 + 5*s + 4. Determine c(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7588252 divided by 1084036?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -15. Let v = 232\/4641 - -10\/221. Which is the second biggest value? (a) v (b) 2\/41 (c) k (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2447077 (base 8) to base 3\nAnswer: 1021022110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16983 - -3196?\nAnswer: 20179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzzzzzzzzzkzz. What is prob of sequence kz?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000032171457 rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 2*b = -105. Suppose 3*k = -b + 78. Calculate the remainder when 103 is divided by k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40746 (base 8) to base 3\nAnswer: 212010211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 104\/217 or 0?\nAnswer: 104\/217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by 5005.\nAnswer: -3\/1001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - c70b6?\nAnswer: -c70b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 7:27 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 - 2*l**2 + 0*l**2)*(-l - 3 + 0 + 2) + 3*l**3 - 3*l**2 + 3*l**2.\nAnswer: 4*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 145.712 kilograms in milligrams?\nAnswer: 145712000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 + 56 + 4*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -510 > -511?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, e: 1, x: 1}. Give prob of picking 1 g and 1 x.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(1\/3)*r))**(-1\/33)*(r**(-1)\/r)\/(r\/(r*r**(-5\/6))))**5 assuming r is positive.\nAnswer: r**(-2795\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -1112?\nAnswer: -556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 301 = 2*c + 5*t, 100 + 61 = c - t. What is the remainder when c is divided by 37?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + (-14 - -5) - -6) + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -171.936692 rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -31 and 0.027307?\nAnswer: 31.027307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -353.657264 rounded to the nearest ten?\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 339 divide 1245633511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + sqrt(108) + 4)**2 - sqrt(3) - (-2*sqrt(3)*6 - sqrt(3)) - (sqrt(27) + 4 - (sqrt(300))**2).\nAnswer: 105*sqrt(3) + 744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 498 from 7.1.\nAnswer: -490.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -65*p - 386. Determine z(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (4 + -1 - (-10 + 12))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 18 = -26*z + 31*z, z - r = 0. Put z, 0.002, 2, 3\/5 in decreasing order.\nAnswer: 2, 3\/5, 0.002, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5743 is divided by 347?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35\/4 + 461\/44. Which is smaller: f or 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ujuuuuujuu. Give prob of picking 2 u.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 3 + 22 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.047, 1, -0.4, -0.1, 4\/13, 369?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 102 (base 3) to base 4\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**5\/3 - 8*j**4\/3 + 74*j**3\/3 - 136*j**2\/3 + 24*j = 0 for j.\nAnswer: -9, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**2\/7 + 168*x - 1174\/7 = 0. What is x?\nAnswer: 1, 587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -19453\/4 > -4863?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -577641\nAnswer: -5\/577641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 311537974?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 - 15 - 20 - 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -7*r**2 - 3*r. Let c(g) = 20*g**2 + 8*g. Let v be 1 + (-1 - -3) + -11. Let t(k) = v*f(k) - 3*c(k). Let m(i) = -2*i. What is t(m(j))?\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-4) - 0) + (-1079)\/(-2) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -738 divided by 297735?\nAnswer: -246\/99245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -82? (a) 469\/13 (b) -2\/3 (c) 5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 68*r**2 + 2*r**3 - 67*r**2 + 2 as a*r + k + t*r**2 + d*r**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**4\/17 + 936912*s**3\/17 - 109734880526*s**2\/17 + 2194340661528*s\/17 - 2084606717912\/17 = 0.\nAnswer: 1, 19, 234218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen halves of a century?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1857, -1861, -1867, -1875, -1885?\nAnswer: -1897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -205*y - 241*y + 5*y**2 - 3*y**2 + 30*y**3 + 473*y to the form o*y**3 + z + f*y + g*y**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29339543 is divided by 254?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001287579 to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-1 - (2 + 0)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 10637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 + -13. Does 7 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 38507, 41058, 43609, 46160, 48711?\n\"Answer: 2551*n + 35956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*u - 7003 = 0, 0 = -4*d - 4*u + 13744 + 14172. List the prime factors of d.\nAnswer: 5, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/895? (a) -0.2 (b) -3 (c) -0.1 (d) 0.4 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 - 61631737?\nAnswer: -61631745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -321203 + 1?\nAnswer: -321202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 203, 4, 1, 28, -3 in decreasing order.\nAnswer: 203, 28, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -3 (c) 2\/31 (d) -9\/8 (e) 41 (f) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 544092322 to the power of 1\/4, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -385*u**4 - 2624.\nAnswer: -1540*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7222, -36158, -84376, -151870, -238634, -344662, -469948, -614486?\nAnswer: -778270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 0.001.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 57068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 113592 < 113592?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -910 - 318 = -4*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*y + 15 = -11*y + 619 + 348 for y.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10667 >= 53331\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 74032112 (base 8) to base 7\nAnswer: 250543056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 506 and 49031768?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 3 + 0 + -6. What is the units digit of (d + 8 - 4) + 43?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/16*4 + -19. Let y be (-18)\/81 - 58\/i. Suppose -5*j - 5*h + 49 = -141, -y*h = 3. Calculate the remainder when j is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15040 is divided by 41?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 plus -6948593?\nAnswer: -6948601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(9)\/sqrt(3) + 4 + sqrt(9)\/sqrt(3).\nAnswer: 4 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 1 + 0 - -1. Let z = -44 + 47. Find the second derivative of -2*p**z + p**3 + 0*p**3 + k*p wrt p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 61641 and 201609.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -230 divided by 10?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -618 in 13\/220, -1\/3, 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 12:32 AM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 668371 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 265, 254, 243?\n\"Answer: -11*c + 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d7 - -3f?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -8*k**2 + 4. Let j(r) = r**2 - 18*r - 55. Let v be j(21). Let b(q) = -12*q + 16. Let s(u) = u - 2. Let m(z) = v*s(z) + b(z). What is y(m(d))?\nAnswer: -128*d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -403 = 98*n + 1149 - 82 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56.02 + -11.66. Let r = 45 - d. Round r to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -128*l - 6. Let s(a) = 80*a + 8. Let t(n) = 2*i(n) + 3*s(n). Determine t(2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51*j**2*z**3 - 15*j**2 - 2*j*z - 566*z**3 wrt j?\nAnswer: 102*z**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22\/7 + -117\/35. Let s = -0.6 - -0.3. Let w = s + 0.4. What is the second smallest value in y, w, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1916 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -21. Calculate the lowest common multiple of p and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -306 in 5, 1\/4, 1, -96, 4\/409?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, -3, -2 in increasing order.\nAnswer: -47, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**5\/13 + 158*q**4\/13 + 3478*q**3\/13 + 13690*q**2\/13 = 0.\nAnswer: -37, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09484416622 rounded to 3 decimal places?\nAnswer: -0.095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -3*i**5\/5 - 5*i**4\/3 - 4*i**3\/3 + 15*i. Factor j(m).\nAnswer: -4*m*(m + 1)*(3*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 40\/5 - -10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1296010.\nAnswer: 2, 5, 29, 41, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, r: 2}. What is prob of sequence qr?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 3 + 1 + (2 + 5 - 5)*(-3 - 1 + 2))*(16*i - 16*i + 10*i**2) to the form k*i**2 + u*i + d and give k.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -871, -3731, -8557, -15343, -24083, -34771, -47401, -61967?\n\"Answer: b**3 - 989*b**2 + 100*b + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6889034 to the nearest integer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3\/43 - -55\/172. Let y = -4 + 6. Is d equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1094.1 - -1096.1. Let p = -7 + 22\/3. What is the closest to h in -1\/15, 4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32885270?\nAnswer: 2, 5, 11, 193, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - 1\/(-1) - -96. Suppose 5*m - 5 = 0, -55 = y - 0*y + 2*m. Let i = y + f. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1572 + 2813. Let x = 2184 - b. Calculate the remainder when x is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 787*k - 795*k = 936. Put k, -2, -3, 3 in increasing order.\nAnswer: k, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3 + ((sqrt(5) + 0)*5 - sqrt(5))).\nAnswer: 18 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 621 - 219 - 213 - 187 - 183*f.\nAnswer: -183*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2011020 + -2102?\nAnswer: 2001211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q + 1. What is a(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6193 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 849, 2 in decreasing order.\nAnswer: 849, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*6\/27 - (-94)\/18. Suppose -10*f = -k*f + 20. Let s(d) = -14*d. What is the remainder when s(f) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 26870000 to the nearest 1000000.\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 900 and 88425.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**2. Let b(z) = -2*z + 109. Give f(b(u)).\nAnswer: -8*u**2 + 872*u - 23762","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6953.1 - -6953. Which is the third smallest value? (a) v (b) -3 (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73 = 22*k - 147 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -96\/7? (a) -3 (b) -0.012 (c) -0.4 (d) -0.015 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*h**3*t**4 - 135*h**3*t**2 - 2*h**3*t - 5*t**4 wrt t.\nAnswer: 96*h**3*t - 120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -0*k + 32. Let w(r) = r**3 + 4*r**2 + 3*r + 1. Let y be 5\/((-10)\/(-4)) + -4. Calculate the remainder when k is divided by w(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + (29 - (-8 + 11 - -1)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 126\/5 or -12\/23?\nAnswer: 126\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 56 + -15306?\nAnswer: -15220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21212 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 9.4. Let d = w + 3.6. What is d rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 288 - 10654\/37. Let p = -61\/444 + v. Let f(b) = b - 6. Let w be f(5). Which is bigger: w or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11049?\nAnswer: 3, 29, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 5*l + 32. Calculate i(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2 + (-3 - 2 + 6)*(2 + 4 - 1))*(0 - l**2 + 0)*(-4*l**2 + 3*l**2 + 3*l**2).\nAnswer: -14*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 5*b**4\/4 - 3. Let j be y(1). Suppose 3*u - 21 = j*w + 5*u, 9 = w - 4*u. Sort -2, w, -5 in decreasing order.\nAnswer: -2, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -136*c**2 + 138*c**2 + 15*c**4 + 16*c**4 + 87 wrt c.\nAnswer: 124*c**3 + 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1651 + 1654. What is the smallest value in -1, -6\/55, -0.5, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 + -34. Suppose -q + 8 = k. Which is the second smallest value? (a) 3 (b) -5 (c) q (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -133*m + 0 - 5\/3*m**3 - 5\/12*m**4 + 0*m**2 + 1\/4*m**5. Factor v(r).\nAnswer: 5*r*(r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5 = -2*n, -n = k - 0 + 1. Let j be (6\/k - 13)*-3. Suppose -2*g + 7 = -j. Is 20 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.9 and -171.617.\nAnswer: -1184.1573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22934551?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -14*x**2 + 12*x - 6. Let r(m) = -5*m - 2*m + 4 + 12*m**2 - 4*m. Let h(o) = 6*r(o) + 5*v(o). Determine h(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30033 - -3202?\nAnswer: -20231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2578381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 227 = 97. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 164605521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212 - 11?\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 12*d**2 + 11*d + 12. Determine l(-11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35968 + 17480407\/486. What is the common denominator of -71\/486 and v?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -35 + 38, 3*i - j = 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5133606 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(g + g + 0*g) - 2*g - 3*g + 3*g + 4*g - 3*g - 2*g - g + 3 - 3 - 1 + 1 + 2*g + (-1 - 2*g + 1)*(-3 - 2 + 4) - 1 + g + 1.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 61?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 22764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 452 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3854 or 524243\/136?\nAnswer: 524243\/136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-4) + 1\/(-6). Let q(f) = -f**2 + 7*f + 5. Let k be q(-5). Let y = k - -277\/5. Sort 1\/5, y, w in descending order.\nAnswer: y, 1\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1030 divided by -6.\nAnswer: 515\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 10, y: 3, k: 2}. What is prob of sequence ytk?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand g - 2 + 2 + (-3 + 3 + 2*g)*(-4 + 7 - 1).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 182 divided by 91\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 3*g + 2*r + 26, 3*g + 15 = 3*r. Let n be 2\/g + 20\/36. Let q = -0.1 - 0.3. Which is the third smallest value? (a) n (b) 2\/3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119923 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 78, 44, 6, 5, 13, -3 in decreasing order.\nAnswer: 78, 44, 13, 6, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3\/7 (b) -0.3 (c) -359 (d) 1.65 (e) -5 (f) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 6, -0.2, -2\/73?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*u - 2*b + 11, -3*b = -3. Suppose -u*f = -3*f - 4, -3*o + 293 = 4*f. Is 4 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -3*q + 71, -4*q - 3646 = -i - 3680 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -40360046.41 rounded to the nearest 10000?\nAnswer: -40360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -259 and -0.06?\nAnswer: 15.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + f = 168, 4*o = -27*f + 29*f + 672. Solve -35*a + o = -11*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 269410 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 + 411*j**2 + 55632*j + 2472128.\nAnswer: (j + 107)*(j + 152)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87492 = -0*p - 12*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22\/45 - 4\/45. Let n(m) = -m**2 - 20*m - 26. Let b be n(-22). Let t be (-4)\/b*(17 - 12). What is the closest to 0.1 in t, x, -0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -72, -3, -10, 2, 21 in increasing order.\nAnswer: -72, -10, -4, -3, 2, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5286 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*b + 47*b - 287*b + 1 + 109*b + 113*b.\nAnswer: 80*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - 0)\/(114\/2276751) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of d**5\/20 - d**4\/4 - d**3\/6 - 7*d**2\/2 - 939*d. Calculate l(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(19) - sqrt(342)\/sqrt(2)) + 5.\nAnswer: 5 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n - n**3 - 8 - 1 + 9. Let m(w) = -5*w**3 - 4*w - 3. Let b be (-2)\/(2 + -3) - -2. Let x(k) = b*c(k) - m(k). Differentiate x(q) with respect to q.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p + 2. Let w be x(-3). Let s = w + 58. Suppose y - 66 = -s. Put y, 0.4, 0.2 in ascending order.\nAnswer: y, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**3 - 2 + 2*w**4 + 0*w**3 - 4*w**4 to r*w**3 + b*w**2 + i*w**4 + d*w + t and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/4283 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p - 2. Let l be x(2). Suppose -l*t - 3 = 1. What is the second smallest value in 1, 4, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -11*c**3\/3 - 4*c**2 + 9. Find the second derivative of n(k) wrt k.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 493666890?\nAnswer: 3949335120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1.7, 4\/7, 4, -9.29, -0.01?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1038 - 2020. Is t\/(-16) + (-12)\/32 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 2:53 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 264 = 5*z + 3*q, 5*z + 5*q - 280 = 0. Let s be (-3 - 0) + z - 2. Let g = -41 + s. What is the remainder when 11 is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1168921981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g + 17. Let l be t(5). Let -2*i**3 - l*i**3 - 3256*i - 12*i**2 + 3248*i = 0. What is i?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 8:07 AM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1479450 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (133 - 133 + 20*q)*(5*q**3 - 2*q**3 + 15*q**3) + (-2*q**2 - 4 + 4)*(-5*q**2 + 4*q**2 + 3*q**2).\nAnswer: 356*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 4*b**2 - 5*b. Let i be k(-5). Suppose -4 = 6*z - 7*z, 3*o - 3*z - 348 = i. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of 1\/4*g**2 + 0*g + 9 + 1\/4*g**3. Determine a so that m(a) = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2130 + 2135. Let o = 622 - 356. Suppose 149 = l*m - o. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/175 + 347\/525. Let o = 1467 + -1493. Which is the nearest to o? (a) 1\/6 (b) -0.3 (c) -0.2 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v**5 - 444*v**4 - 2960*v**3 + 2560*v**2 + 12096*v - 3136 = 0. What is v?\nAnswer: -14, -2, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -42.95 and 2.9.\nAnswer: -124.555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 990031480?\nAnswer: 2, 5, 19, 1302673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 10. Let f = m - 2. Suppose -5 - f = -4*z. Solve x + z*c + 6 = 0, 0*c = -3*x + c + 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67287 + 148837. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1989 and 14754096?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -657, -656, -661, -678, -713?\nAnswer: -772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 - 46. Solve 2*s - 6 + 0 = t*k, -5*k + 2*s = 18 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/(-3))\/(220\/264). Let j(t) = 2 - 18*t**2 - 2*t + t**3 + 12*t + 12*t**2 + 14*t**u + 4. Give j(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -7*t**2 - 9*t + 8. Let r(p) = 3*p**2 + 4. Let u(z) = 9*z**2 + z + 10. Let x(m) = 11*r(m) - 4*u(m). Give -2*f(l) + 5*x(l).\nAnswer: -l**2 - 2*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.5 + -5. What is the smallest value in 4\/7, 4, j, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19147716586 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 51 = 3*v, -3*v + 4*p + 0*p = -66. Let m(b) be the first derivative of -9*b**2 - 148*b - 50. Calculate the remainder when m(-11) is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1110852, 1110840, 1110830, 1110816, 1110792?\nAnswer: 1110752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3. Let m(k) = -4. Let t(c) = 7*j(c) + 5*m(c). Let i(b) = b + 1. Let w = 70 + -72. Let x = 13 - 12. Calculate w*i(u) + x*t(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -60*f + 5034 - 611 + 137. Calculate the least common multiple of 316 and f.\nAnswer: 6004","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-1 - (-3 + (3 - -1 - 4)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 713575 - 96061 = 101*b. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -6 - 20 - -17) + -15 + -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*h**2 + 13 - 14 - 245*h - 29*h**2.\nAnswer: -58*h**2 - 245*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.075813042 minus 0.1044?\nAnswer: -0.180213042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g**3 - 5*g**3 - g**2 + 1042 - 2*g - 383. Is x(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10874 - 14555 = 229*q - 21307 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*s - s. What is the nearest to -1\/3 in s, -0.3, -2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -1 - (-2 + 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(16\/5)*s**(-2\/5) assuming s is positive.\nAnswer: s**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14722 to the power of 1\/2, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -8 (c) -19 (d) 1\/63 (e) -0.1 (f) 23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11250396 to the nearest integer?\nAnswer: 3354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u**3 - 19*u**2 - 19*u + 3. Is b(-16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2195? (a) -1 (b) 4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.129, 11, 2\/9, -0.4 in ascending order.\nAnswer: -0.4, 0.129, 2\/9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -243004342 - -42?\nAnswer: -243004300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -4 - (-9)\/(9\/1154)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 405 by -3.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -385*t - 9 + 2*t**3 + 385*t wrt t?\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21532 or -22496?\nAnswer: -22496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -55 in 0.3, 41, 0.2, -168, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-12))**(-2\/171)\/((y\/y**8)\/y)**(-36) assuming y is positive.\nAnswer: y**(-49226\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*c - 65. Suppose -2*x = -3*w + 316 + c, -2*w + 232 = -3*x. List the prime factors of w.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 11181, -17?\nAnswer: 11181","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -b**5\/120 + 4*b**3 - 82*b. Let d(l) be the second derivative of k(l). Let m(o) = 7*o**2 - 12*o. Calculate d(m(f)).\nAnswer: -7*f**2 + 12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 19.9. Let o = 0.6 - 3.7. Let q = o - 0.9. Which is the third biggest value? (a) q (b) w (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/15*10\/(-4). Let g = 250 + -248. Solve -g = -o*m + m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 2*h - 4*w + 20, -h - 153*h = 28*h - w - 9 - 715 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/3 - ((-31)\/(-3) + 1). Is (-7 - -8) + s\/(22\/(-96)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 12:49 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3119a38 + -2?\nAnswer: 3119a36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12071002?\nAnswer: 2, 6035501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 1. What is the smallest common multiple of p and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i - 14. Let j be g(-19). Let k = -80 - j. Let c = -50 - k. Sort -4, c, 4 in ascending order.\nAnswer: -4, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 106734, 106774, 106814, 106848, 106870?\n\"Answer: -o**3 + 6*o**2 + 29*o + 106700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 45 + -15b1?\nAnswer: -1568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 444417?\nAnswer: 3, 148139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5000)\/(-11250)*-3*6\/(-100)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -g**7\/14 - 91*g**4\/12 - 66*g**3 + 31. Let f(z) be the third derivative of j(z). Differentiate f(y) with respect to y.\nAnswer: -180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (0 + (1 + sqrt(320))*1 + 1)*-6)*-5*5)**2.\nAnswer: 900000*sqrt(5) + 7340625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11541440 (base 6) to base 5.\nAnswer: 43333130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 165326 and 1862?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 608*f - 603*f = 33650. Suppose -8*x = 5*p - 4*x - 16843, f = 2*p + 4*x. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18\/411757 and -74\/2703.\nAnswer: 1235271","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -99256\/6269 bigger than -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 2*x - 11 = 0, -3*p + 0 = -3*x + 12 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32110021313 - 10?\nAnswer: 32110021303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 85459.16 meters?\nAnswer: 85459160000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 33.87 and 0.4.\nAnswer: 13.548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72576 = -1345*l + 526*l - 693*l for l.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/9)\/p*p*p)**(3\/7)\/(p*p*p\/p**8*p\/(p**(-3\/4)*p)))**(-1\/34) assuming p is positive.\nAnswer: p**(-55\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1873 or -1856?\nAnswer: -1856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.542288 minus -5.5?\nAnswer: -14.042288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - c = -4. Suppose -c*g = 3*g. Suppose -2*v + 6 - 24 = -5*r, 5*v + r + 18 = g. Which is smaller: v or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*c = 266, -7 = -5*c + 13. Is 8 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + h**2 + 16. Let i(d) = -d**3 - 8*d**2 + 9*d. Let s be i(-9). What are the prime factors of u(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23169 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 21108864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 408*n - 1619*n - 1004*n - 1329*n to l + x*n and give x.\nAnswer: -3544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.147 not equal to -5\/46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -5*t**2 + 173*t + 29953. What is s(-62)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-359)\/1795)\/(66\/5)*4?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 11:48 PM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r - 11*r + 613 - 501. Is 28 a factor of v(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 - 5*i - 550.\nAnswer: 5*(i - 11)*(i + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2472, -1, -86, -8 in descending order.\nAnswer: -1, -8, -86, -2472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2535, -2913, -3215, -3405, -3447?\nAnswer: -3305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -8 - -2*2075\/10. Let v = m + -404. Solve -12 = -v*a - 18 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 13, g: 6}. Give prob of picking 2 u.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 3*g + 0 - 7 = 0, 21210*y + 16 = 21205*y + g for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -3 - -6) + (-9 - -8) + 7.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2 - 2*k - 8. Let p be f(4). List the prime factors of (-21)\/(-2)*p\/3.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/6 + 6\/(-216)*-6. Put -82, -0.1, w in decreasing order.\nAnswer: -0.1, w, -82","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 113 - 168. Is i\/(-4) - 3\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110011010100110 (base 2) in base 9?\nAnswer: 40037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-70)\/(-1))\/(-7)*(-4)\/30?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 125, -1, -4, 3, -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4864 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12717 - 12790. Which is the nearest to t? (a) -4 (b) -5 (c) 1\/6 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1153312 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*p = 7680, -15372 = -94*u + 90*u + 5*p. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4131 + 3017 - 5406)*(1 - 1 + 1)*(-5*t**4 - 3*t**4 + 3*t**4)*(-t + 0 + 0)*(1 + 1 + 0).\nAnswer: 17420*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2*(-2*sqrt(76) - sqrt(76)) + sqrt(76))\/sqrt(4) + 5)**2 - (5 + sqrt(76)*-3*6 + 4)**2.\nAnswer: -20956 + 508*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, y: 2}. Give prob of sequence pp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-226)\/(-4)*(-2 + 4). Let i be (p - 2) + -1 + 2. What is the highest common factor of 16 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 42\/5 and ((-265)\/(-75))\/((-1638)\/(-54)).\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4.534 (b) 4 (c) 0 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -103872, 5, -4.\nAnswer: -103872, -5, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -c9d4a (base 14) to base 10\nAnswer: -488302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3*v - 4916 = 2*i, -4*i + 19584 = -4*v. Suppose 1869 = 10*q - i. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 4*t**2 + 3*t + 1. Let b be n(4). Let k = 9\/37 + -137\/259. What is the nearest to k in b, -1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 0 = -t. What is the remainder when 58 is divided by (t\/(-3))\/(1\/12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -4*k - 28, 0 = 12*u - 9*u + k - 7. Which is the third biggest value? (a) u (b) -0.13 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**3 - 1 - 3*q**3 + 472*q - q**2 - 472*q as s*q + g*q**2 + b + j*q**3 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3420202 (base 5) to base 9\nAnswer: 102208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 2425\/826?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, i: 1}. What is prob of sequence di?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -9*c + 21. Give x(7).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2148 divided by -537\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13008 - 13072.61. Let f = 65 + l. Let q = 0.390042 - f. Round q to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.8 - -0.5. Suppose -4*t - 8 = 0, 5*l + 4*t + 3 = -5. Let w = 9 + -10. What is the nearest to w in l, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l**4 + 2*l**4 - 3*l**4)*(-378 + 165 - 265)*(-2 + 0 + 3) + l**4 + 2*l - 2*l to n*l + v*l**2 + c*l**3 + w + f*l**4 and give f.\nAnswer: 479","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**4 - 424*o**3 + 874*o**2 + 3816*o - 7704 = 0.\nAnswer: -214, -3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75744*q**2 - 227234*q**2 - 15*q**3 + 75746*q**2 + 75744*q**2.\nAnswer: -15*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + 4 + 34 + -5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 11:33 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 124*1*(-2)\/(-8). Let i = -27 + y. Does 18 divide i\/(-6) - (-254)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*a**2 - 28 + 56 - 2*a - 27)*(31*a - 6*a + 39*a) as n*a**3 + z + g*a + c*a**2 and give g.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 4*m - 44 = 3*o, -21*o + 1065222*m = 1065217*m + 122 + 5 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -123 - 6?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/6300 and 149\/137929400?\nAnswer: 1241364600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2. Let w(h) = 11*h + 160 - 160. Calculate w(f(t)).\nAnswer: -11*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 2*o**3 - 2*o + 4 + 1 - 2 + 2*o**2 as i + k*o**3 + z*o**2 + h*o and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39836 by 19918.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -74? (a) 0.359 (b) -4 (c) -54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*i - 57*i + 934708. Does 5 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2038.926 days?\nAnswer: 176163206.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -y**6\/120 - y**5\/30 - 5*y**4\/24 - 5*y**3\/6 + 4*y**2. Is x(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -48, -76, -96, -102, -88?\n\"Answer: v**3 - 2*v**2 - 29*v - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 24*c + 25. Give z(-22).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p - 328 = 400. What is the nearest to 0 in p, -5, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 184*j - 1 - 4 + 0*j**2 + 54*j**2 - 175*j. What are the prime factors of k(-3)?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)\/sqrt(12))\/(sqrt(96)\/(2*sqrt(12))))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 815 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 - l + l)*(-109 + 109 - 41*l).\nAnswer: 41*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -26 (b) 1\/12 (c) -21.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 6:45 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.08 - 8.08. What is the third smallest value in -5, j, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-4))\/(765\/24*(-5)\/25).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of w**5\/20 + w**3\/3 - w**2\/2 - w. Let h be i(1). Suppose 0 = -g + 2*j + 5, -6*j + 16 - 25 = -g. Solve -g*v - 1 = -h*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.27 - -0.03. Let q = 0.5 - 0.7. Let l = q + y. What is l rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.8 + 2.7999797. What is x rounded to 6 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*u**2 - 2*u**3 + 0*u**2 - 8*u + 2*u**4 + 2*u + 8*u to o*u**3 + b*u + n*u**2 + y + a*u**4 and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*m - 99 = 0, f + 0 = -m - 34. Let a(g) = -g**2 - 29*g + 86. Let b be a(f). Calculate the greatest common divisor of b and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 943*u**2 - 2*u + 2. Let w be z(2). Suppose -21286 = 3*j + w. Let q = -348 + j. What is q rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2*d + 3)*(-10*d + 4*d + 5*d)*(0*d - d - d)*(-4 + 1 + 5) to j*d**2 + m*d**3 + w*d + i and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 319770?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1981*h - 2214*h - 11417 for h.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 880*y**5 + 10122*y wrt y?\nAnswer: 17600*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4812)\/3208*3\/45*-4*20.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60 + 64. Solve 5*b + 5*c - 24 = h*c, 0 = 2*b + c - 9 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4616303 + 17?\nAnswer: -4616264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 29455855069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7199, -7189, -7179, -7169, -7159?\nAnswer: -7149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j. Let h(x) = 259*x. Give u(h(p)).\nAnswer: 259*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84736.59l to millilitres.\nAnswer: 84736590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 57142863 smaller than 57142863?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -241, -239, -237, -235, -233, -231?\n\"Answer: 2*s - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1525843*d**4 + 35281086 wrt d?\nAnswer: -6103372*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278651 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 594 and 5148.\nAnswer: 15444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 79 in 0, -4, 1335, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2110, 2109, 2108, 2107, 2106, 2105?\n\"Answer: -x + 2111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/2*9\/((-81)\/(-8))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) 42 (c) 2 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2364670513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010011001011 - -10101?\nAnswer: -101010010110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**2 + 0*t**2 + 2 + 3*t**2)*(26 - 14 + 10)*(-3*t - 3*t + 4*t).\nAnswer: 44*t**3 - 88*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 770 and 42490.\nAnswer: 467390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*s + 85 = 0. Suppose 5*i - 50*x = -51*x + 14, 3*i + 2*x = 7. Which is smaller: s or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -34*j - 34. Let r be c(-5). What is the nearest to r in 0.5, -1, -3\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -l**7\/210 + l**6\/6 - 143*l**5\/100 - 169*l**4\/60 + 1120*l. Suppose b(j) = 0. Calculate j.\nAnswer: -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4509645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3544, 20863, 49724, 90121, 142048?\nAnswer: 205499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.8 + 3. Let p be ((-147796)\/4840 - -31) + (-2)\/(-55). Which is the nearest to 1? (a) f (b) p (c) -3\/7 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 10*u - 25. Let z = -551 - -553. Give r(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 2*x + 8 + 2, -4*m = -3*x - 8. Suppose -t - 4 = -m*t. Suppose -t - 40 = -4*b. What is the highest common factor of b and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1844113 and 278?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5788 = 193*z - 4244 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-21))**(-2\/25)\/(n\/(n*n**(3\/7)*n*n))**41 assuming n is positive.\nAnswer: n**(3541\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1503251 and -0.2788.\nAnswer: -1503251.2788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18521, -72682, -162947, -289316, -451789?\nAnswer: -650366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 1\/317, 596, 0.3, -574.\nAnswer: -574, -3\/2, 1\/317, 0.3, 596","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -410597, -409091, -406581, -403067, -398549?\nAnswer: -393027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2492 smaller than -2487?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 195823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3219 is divided by 1556.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 95\/189 + 194\/(-2619) - (-204)\/308.\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millimeter in micrometers?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 15*f - 2. Let w be v(1). Suppose -w + 25 = 2*a. Let h = a + 10. Calculate the greatest common divisor of h and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 4*h + 8. Suppose 2*a + 4*c - 17 = 1, 5*a - 5*c = 0. Sort -2, a, -3, h in ascending order.\nAnswer: h, -3, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1525 divide 1078193300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, u: 4}. Give prob of sequence ul.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285730 is divided by 17858?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*c - 16*c = -63 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -5*i**2 - 5090*i - 13. Let o(n) = 2*n. Calculate x(o(h)).\nAnswer: -20*h**2 - 10180*h - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1241 (base 8) in base 5?\nAnswer: -10143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -111 - 313. Let l = -167 - r. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide -3*(267\/(-12))\/(9\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -1942*b**6\/15 + b**3\/6 + 827*b**2\/2 - 56*b - 6. What is the second derivative of l(g) wrt g?\nAnswer: -46608*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14304331 (base 5) to base 4\nAnswer: -210300333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 47 = -6*j, 11112 - 11109 = -j + 3*u for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1121 - 7542?\nAnswer: -8663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -85, -5, 2\/13 in decreasing order.\nAnswer: 9, 2\/13, -5, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t**2 - t. Let f be x(-1). Let y be (f - -1)*(-2)\/(-4). Let p be (1\/(5\/10))\/((-6)\/(-1)). Is y greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(76)\/sqrt(4) + -3)*-5)**2.\nAnswer: -200*sqrt(19) + 875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-128*m**2 + 48*m**2 + 29*m**2)*(-m**3 + m**3 + m**3) + (-m**3 - 4 + 4)*(4*m**2 + 0*m**2 - 2*m**2) - 24*m**3 + 24*m**3 + 12*m**5.\nAnswer: -41*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 131261 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-1170)*65*5\/1*-3\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of g**4\/36 - g**3\/6 + g**2\/3 + 6*g. Factor y(z).\nAnswer: (z - 2)*(z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 1 - 3. Let f = 71 + s. Let l be 250*((2 - 0) + f). Round l to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z - 4 - 26 = 0. Suppose -z*i + 5*g = i + 1, 0 = -g + 2. Let o(n) = 2*n - 4. Let q be o(3). Solve h = q*h + i for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29 - 18) + (-5 - (-2 - -4)) + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, 2\/7, -1, 31.\nAnswer: -1, -0.03, 2\/7, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -94 - -97. Let j(v) be the first derivative of 1\/8*v**6 - 3\/16*v**4 + 0*v**o + 0*v + 4 + 0*v**5 + 0*v**2. Factor j(b).\nAnswer: 3*b**3*(b - 1)*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53206854?\nAnswer: 2, 3, 587, 15107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -9*x**2 + 44*x + 1159. What is u(-11)?\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1*(0 - (-2 - -2)))\/(-2). Suppose -4*o + o + 60 = w. Is 3 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4797.6*-13.\nAnswer: -62368.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -64809525 divided by -165\nAnswer: 392785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 6 = -12*a + 14*a, 3*q + a = -2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*l**2 + 171996*l + 73710.\nAnswer: 2*(l + 12285)*(7*l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*v + 102 = -40*v + 3*t, v - 17*t - 97 + 67 = 0 for v.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 731, 2707, 5941, 10433, 16183, 23191?\n\"Answer: 629*o**2 + 89*o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 210 = -i, 2*u = -5*i + 35 + 22. List the prime factors of (-143)\/(-1) - (u + -45).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4353227 rounded to the nearest 1000?\nAnswer: 4353000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 818\/(-2863)*(-35)\/(-165)\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven quarters of a second?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3807 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 3 - -1) + 0\/2. Suppose -q*b + 2234 = -914. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.037 - -0.163. Let f be 1\/4 + 76\/(-176). Let x = -2\/393 - -397\/786. Sort 1\/6, x, t, f.\nAnswer: f, 1\/6, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -8744*h - 43685. Give x(-5).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 108 - 110. Let d = -309.2 - -309. Put d, -5, x in decreasing order.\nAnswer: d, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 b when three letters picked without replacement from blbdblllblblldllb?\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*b*r**4 - b*r**2 + 2*b*r + 41*r**6 - 57*r**4 - r**2 - 362 wrt r.\nAnswer: -72*b*r + 4920*r**3 - 1368*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q**2. Let g be 12\/(5\/(-42)*(-216)\/120). Let r(d) = 19*d - 3. Let k(p) = -364*p + 56. Let n(a) = g*r(a) + 3*k(a). Calculate l(n(c)).\nAnswer: -2352*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z + 6 = -14*z. Suppose 0 = z*t - 312 + 96. Is t a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*k + 357 = 40*k - 52*k. Let a be 5 - ((-1 - -3) + -1). Solve -4*x = a*g - 3*g - k, 2*x - 14 = -4*g for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/9)\/m)**46 assuming m is positive.\nAnswer: m**(-460\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g + 6*g + g**2 - 2 - 4*g as k + s*g + v*g**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**2 + 1. Let q be o(1). Let c be 135 + 0\/4 - q. Let n = c - 53. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 533288 and 1066577\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f - 29. Let v be q(19). Let c be v\/(-36) - 123\/(-9). What is the highest common factor of c and 240?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 12:17 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fyfi when four letters picked without replacement from {s: 9, b: 2, f: 3, i: 1, k: 1, y: 3}?\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/(-20) + (-267)\/69 + (12 - (-8 + 19))?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**3 - z**3 + 5*z**3 + (-90*z + 26*z**2 + 90*z)*(-1 + 1 - 4*z) + (2 - 2 - z)*(2*z - 2*z - 2*z**2) as c*z**2 + v*z + f*z**3 + o and give f.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 308023, 307996, 307955, 307900?\n\"Answer: -7*s**2 - 6*s + 308036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/1171 or -2\/49?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 12 - 68 = 0. Suppose j = -16*x + 20*x. Solve b - x = -3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-19 + 4)\/(-4 + 1). Suppose 5*i - q = 15, -i - 8 = -4*q + 8. Find the third derivative of -7*w**i + j*w**2 + w**2 + w**2 wrt w.\nAnswer: -168*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 549105*b - 549168*b = -2646 for b.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(203\/(-2))*(-16)\/352*11.\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 134970466 by -1.\nAnswer: -134970466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3650 and 2023706?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 650791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73 - -46. Let w(u) = -u**2 - 3*u - 12. Let a be w(7). Does 18 divide a\/3*o\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7027.3748 rounded to the nearest 10?\nAnswer: -7030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1291, -2575, -3847, -5101, -6331, -7531, -8695, -9817?\nAnswer: -10891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-5) + 14151\/(-1335).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -9561.73?\nAnswer: -47808.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1239639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3104 - 1133 = -614*b + 7429 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/148455 equal to 0.07?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d. Let y(p) = 49*p - 3271. What is y(u(o))?\nAnswer: -147*o - 3271","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*c - 12 - 11 - 27 = 0. What is the remainder when 153 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = s, 7*x - 11 = 2*x - 3*s. Let n(t) = 66*t + 27. Let j(y) = -5*y - 2. Let u(a) = -54*j(a) - 4*n(a). Give u(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 - -21.9. Sort 0.2, -2\/11, b in increasing order.\nAnswer: -2\/11, b, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c**3 + 307*c**2 + 290*c - 8617. What is d(103)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/5 - (-96)\/(-390).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 371433 (base 8) to base 7.\nAnswer: 1041340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/(-76)*4\/(-10). Let n = -0.065 - -3.065. Let d = -0.2 - -0.2. Which is the closest to -1\/3? (a) n (b) t (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 189*o**2 + 4*o + 4. Let g be (-2)\/(-3)*18\/(-8)*2. Is z(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 2331303232?\nAnswer: 2331303303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.1 + 10.1. Let p = w - 10. What is the second smallest value in p, -5, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23251428643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 425461021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - -1)*8\/(-216)*-1.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 2*b - 8 = -17, 0 = -b + 2*b for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*l - 412 = -16*l + 470 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 8 = -17. Let l(z) = -z**2 + 4*z + 5. Let u be l(v). Solve u*i + 15 = 3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1622 + -1671 + 0 + -28?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and 0.040742240187.\nAnswer: 0.240742240187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 f when four letters picked without replacement from fpppffppfppppp?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3*z**2)*((-2 + 1 + 2)*(-3*z - z + 2*z) + 0*z - z + 0*z - 7*z - 7*z + 9*z).\nAnswer: -24*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -323 - -1401?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 3*q + 5. Calculate the remainder when n(-5) is divided by -2 + 7 + 18\/6.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 0 + -3 + sqrt(605) + 1 + (4*(1 + sqrt(605)))**2.\nAnswer: 363*sqrt(5) + 9695","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 13 (b) -3\/2 (c) 1\/642 (d) -2\/163 (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14 - -15 - -8) + 398. Solve -410*k + b*k + 12 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.61 + -0.41. Let x = q - 1.96. Let d = x + -0.64. Put d, 2\/7, -3 in decreasing order.\nAnswer: 2\/7, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*q**3 + 0*q + 57 + q + 15.\nAnswer: -16*q**3 + q + 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 7. Suppose -b*z = -158 - 31. Suppose -5 = z*v - 28*v. Solve 4*j - 15 = 4*o + 5, 0 = v*j + 5*o + 25 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - ((-17 - (-3 + -7)) + 7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -25, -4, 25, -3, 6, -10 in ascending order.\nAnswer: -25, -10, -4, -3, 1, 6, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 1623 divide 196465773?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/5 (b) 3 (c) 2\/15 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 198.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1.124 - 30699894367\nAnswer: -30699894368.124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -175\/1194 + -4\/199. Let h(o) = -6 + 2*o + 0 - 2. Let j be h(14). Sort -1, j, 0.3, k in descending order.\nAnswer: j, 0.3, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5355000 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 265216?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 143 - 0.72\nAnswer: 142.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70754149 to the nearest integer?\nAnswer: 8412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64 and 164808?\nAnswer: 1318464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3)*(2*l - 3*l - l) + l - l - l + (3*l - 6*l + l)*(-1 + 2 + 0) + 5*l - 2*l - 4*l + l - l - 2*l + 0*l - 2*l + 4*l.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - -21. Suppose -10*l + t = 12. Solve 0 = 2*x + 8 + l for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2615 * 0.02\nAnswer: -52.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 x when two letters picked without replacement from {z: 1, x: 1, w: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*z = 0, -4*y - 10 = -2*z - z. Let r(m) = -2*m**3 - 5*m**2 + 4*m + 5. What is r(y)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1206446 < -1206447?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**3 - 3*p**2 - p + 3. Let z be (-1218)\/(-56) - (-15)\/60. Let j(x) = 7*x**3 + 11*x**2 + 3*x - 11. Determine z*y(b) + 6*j(b).\nAnswer: -2*b**3 - 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.318 + 4.218. Which is the closest to -12? (a) p (b) 1.1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1383 divided by 1\nAnswer: -1383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 + -36.87. Let m = n - -1.47. Let c be 5 + -3 - (-1)\/(-1). What is the fourth biggest value in 0.2, m, c, 0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12655.\nAnswer: 5, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 19103098 and 19103100 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 3*m**2 + m + 1. Let s be u(3). What is the tens digit of (30\/s + 0)*4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2611 is divided by 870.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42435, -79425, -116419, -153417, -190419?\nAnswer: -227425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/7011810 and 35\/312.\nAnswer: 28047240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*h + 254 = 2*t + 82, 4*t = 20 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 4710?\nAnswer: 2\/2355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 21 = 8*c, -505*i = 18*c - 506*i - 53 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285 = -2*i - 4*a - 215, 4*a - 60 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/12)\/(7\/(-6*21)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 - k**2 + 2*k**2)*(k - 3 + 3) + 8*k**3 - 2*k**3 - 1 + 0*k**3.\nAnswer: 5*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (156\/130)\/(3\/10). Let u(l) = -12*l**3 + 11*l**2 + 11*l - 20. Let z(r) = -4*r**3 + 4*r**2 + 4*r - 7. What is x*u(f) - 11*z(f)?\nAnswer: -4*f**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p**3 - p**3 - 4*p**3 + (-5 - 3 - 5)*(57*p - 130*p + 0*p)*(0*p**2 - 3*p**2 + p**2) to c*p**2 + y + m*p + z*p**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 10 - 4*f + 4 - f - 5*f. Is 37 a factor of d(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/6*2\/(-21). Let t = 5.22 + 1.08. Let s = t + -6. Which is the third smallest value? (a) -2\/13 (b) s (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -647 - -416. What is the biggest value in -1\/4, 3, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.34 take away 9.1?\nAnswer: -9.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -79, -186, -335, -526, -759?\nAnswer: -1034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 2*w**2. Suppose 4 = 2*c + 2. Let y be a(c). What is the units digit of ((-3)\/6)\/(y\/12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7 + 0.2. Suppose -2*l = 5*i + 2*l - 26, 12 = 3*l. Let x be ((-6)\/i + 0)*(-72)\/54. Which is the nearest to -1\/4? (a) -2\/11 (b) w (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jo when two letters picked without replacement from {o: 2, x: 4, z: 1, j: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69226625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a meter in centimeters?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*w + 8. Which is the biggest value? (a) w (b) 1\/7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 1, -0.2, -68?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -24*-0.302\nAnswer: 7.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 1267838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -18\/13 (b) 3 (c) 0.2 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 580125 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**3 - 7*h**2 - 5*h - 4. Let x be s(-3). Solve -5*j - 13 = -x*f - 4, -8 = -3*f + 2*j for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 (base 4) in base 8?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pbj when three letters picked without replacement from pbbbbbpbbbbbbbbbj.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.3724107 days?\nAnswer: 32176.28448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 341 - 74. Let f = j + -266.98. What is the closest to -0.1 in 5, -0.3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + 1645\/(-154))*60\/35.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n. Let b(u) be the first derivative of -347*u**2\/2 + 6*u + 166. What is v(b(m))?\nAnswer: 1041*m - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4510 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b. Let l(j) be the third derivative of 0 + 0*j**4 - 31\/60*j**5 + 0*j + 0*j**3 + 42*j**2. Give l(h(r)).\nAnswer: -31*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 103686762 by 34322.\nAnswer: 3021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-38056)\/665980)\/(57\/(-7))?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13276909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 + -28. Suppose o = 4*i - t, -4*i + 2*i + 10 = -2*t. What is the lowest common multiple of (-1)\/(-1 + 10\/15) and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 30*r = 82272. List the prime factors of r.\nAnswer: 3, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28bd (base 15) to base 9.\nAnswer: -12867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 0, 272, 17, 85 in ascending order.\nAnswer: -3, -1, 0, 17, 85, 272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 175185761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (2 - (0 + (0 - -4))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1461 in 3\/5, -3, 4, -1\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52310781 and 34873854.\nAnswer: 104621562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2*g**4 + 2121*g**3 + 58906*g**2 + 84651*g + 27864 = 0.\nAnswer: -1032, -27, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237 - 232 + 39 + 100 - 29*j - 2*j**3.\nAnswer: -2*j**3 - 29*j - 330","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42 + -30. Suppose 0 = z - c - 6. 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: In base 11, what is 0 - 64?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + sqrt(605))*-1)**2.\nAnswer: 2420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 17*h - 522. Determine n(31).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/8)\/((-30)\/(-100)*5)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15 - -2)*-1 - 1. Suppose -2*w - 12 = -s, 2*s + 7*w + j = 2*w. Solve 2*z - h = h + 4, -2*h = -s*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -851, 73, 997, 1921, 2845?\n\"Answer: 924*a - 1775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 - 14240463*y + 28480914.\nAnswer: 3*(y - 4746819)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 303255*o**5 + 2*o**4 + 10*o**3 - 4119525*o**2 - 2*o + 2 wrt o?\nAnswer: 18195300*o**2 + 48*o + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1928960 and 726?\nAnswer: 63655680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.3 (b) 3\/5 (c) -3702 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2434*y + 12800. What is u(-5)?\nAnswer: 630","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 5*v**2 + v - 3. Let r be j(5). Let g(s) be the second derivative of 0 + s - 1\/6*s**4 + 0*s**3 + 0*s**r. Let m(h) = -h**2. Give m(g(t)).\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, p: 1, q: 3}. Give prob of picking 1 h and 1 q.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100432 (base 7) to base 11.\nAnswer: -11879","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21684 + 67684. Round k to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9987 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011010001111 (base 2) in base 16?\nAnswer: 268f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from grrrrrgrrgr. What is prob of picking 3 g and 1 r?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8388 + 17227 - 20*m - 8839.\nAnswer: -20*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(425) - sqrt(425)*-2) + -3) + -5)*-3.\nAnswer: -225*sqrt(17) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -109 - -46. Let t = c + 88. Calculate the greatest common factor of 175 and t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -838*z + 2553. What is a(3)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6298 divided by -456.\nAnswer: 3149\/228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 3. Let m(s) be the second derivative of 0 + 1\/2*s**3 + 1\/3*s**4 - 3*s + 1\/10*s**5 + 0*s**2. What is m(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 201 + -197.88. Let a = q - 2.72. Which is greater: 0.3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-12))\/(22\/30 + 2\/(-5))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25750 + -25759. Let c = -0.1 + 0.3. What is the closest to -2\/3 in c, d, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 11*c + 2. Suppose 30 - 83 = 4*h - 3*u, -3*h = -3*u + 42. Let v be o(h). Solve -6 + 0 = v*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 235 divide 260575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -6*z + 111. Give b(5).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nx when two letters picked without replacement from nxxnnnnnnxn?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 638243060?\nAnswer: 2, 5, 7, 13, 19, 18457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 762282 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + 4)*1 + -4 + -6*3*sqrt(891))**2.\nAnswer: 285131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**3 + 0*o**3 + 4*o**3 - 6*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*x + 40*x + 336. Suppose -50*z - 48 = -x*z. Solve 0 = -z*r + 9*r + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - c - 350 = 0, 4*z - z - 210 = 3*c. Suppose 0*h = -4*h - l + z, 2*h + l = 36. Let u = h - 9. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65 and 208?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -12*d**2 - d - 1. Suppose 3*y + 3*w + 5 = w, -4*y = 4*w + 12. Let q be j(y). Let r(m) = m**3 + 16*m**2 + 16*m + 4. What is the units digit of r(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2478*a - 5879 with respect to a.\nAnswer: 2478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7155, -14309, -21463, -28617, -35771, -42925?\nAnswer: -50079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-16)\/36)\/2 - 4172\/18. Let m = k + 377. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -w**2 - 1\/2*w**4 + 23 - 7*w + 10\/3*w**3. Let u be j(5). Sort 2\/11, 2\/3, u in decreasing order.\nAnswer: 2\/3, 2\/11, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + z + 15. Let j = -54 - -56. Suppose -5 = j*l + u, l + 1 = 2*u + 11. What is o(l)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1140194353?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.06*-0.22\nAnswer: 0.0132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2*1968\nAnswer: -3936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 70295431 to the power of 1\/2, to the nearest integer?\nAnswer: 8384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d + 4*k + 16, -6*k - 26 = -2*d - k for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**3 - 3*t**2 - 29 + t**2 + 0 + 13*t - 4*t**2.\nAnswer: 3*t**3 - 6*t**2 + 13*t - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 23 = -4*p - 5*j, 0 = -3*j - 12. Suppose -2*t + 126 = p*h, -3*h + 315 = 5*t - 6*h. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*n + 3*n. Suppose -24 = n*f - 5*t, 4*t = 3*f - 5*f + 14. Let k be f\/2*(0 - 40). What is k rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 1:05 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4*s**2 + 55*s - 87. Suppose -38*t - 18 = -4*h - 33*t, 3*t = 4*h - 30. Determine d(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-55045674)\/1110 - (1 - -6). Let y = s - -49598. What is the common denominator of -5\/2 and y?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 566995 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 564548.\nAnswer: 2, 113, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -30*h**2 - h - 1. Let s(f) = -89*f**2 - 2*f - 2. Let m(w) = -3*n(w) + s(w). Let q(t) = -3*t**2 + 3. Give m(c) + q(c).\nAnswer: -2*c**2 + c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -3962.9439 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1817 divided by -6\nAnswer: -1817\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -1, 4, -2, -1065, 5.\nAnswer: -1065, -27, -2, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0 = 2. Let u be (3\/(-6))\/(f\/90). Let q(j) = -4*j + 1. Let s be q(-1). What is the greatest common factor of u and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32 or 13155.2?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*f - 0*f - 4*c, 5*f - 33 = 4*c. Suppose 0 = -p + u + 1701995, 8*u = f*p + 6*u - 8509990. Round p to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -18707.\nAnswer: 6\/18707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1193 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.8 + -1. Suppose 0 = 5*o + 57 - 2. Let t = -6 - o. What is the closest to -0.1 in m, t, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2040 and 363720?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r + 49. Let y(l) = -342*l - 158. Let s(v) = -62*v - 31. Let x(o) = 11*s(o) - 2*y(o). Give -3*j(k) - 5*x(k).\nAnswer: -k - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/30 and 10030\/816 - 7\/1.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 52*p**3 - 2*p**2 + 3*p - 2. Let n be s(1). Let w = 57 - n. Let j(d) = 228330*d + 20. Let a be j(w). Round a to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (372\/(-14) + (48 - 54))*-7. Solve 3*o - z = -222 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -156 - -160. Let p(o) = o**3 - 28*o**2 + 35*o - 232. Let u be p(27). What is the third biggest value in b, u, -2\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 17*h + 167. Calculate c(24).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14500\/(-1160)*2\/(-10)*-4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -96*q + 148*q - 83*q + (0 + 2 + 0)*(q + 0*q - 3*q) - 1 - q + 1 - 2*q - q + 2*q.\nAnswer: -37*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158 = -5*g + 122. What is the greatest common divisor of 14 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 = 9*v - 65. Calculate the highest common divisor of v and 666.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -1\/2*x**2 + 1\/3*x**3 + x + 9. Give q(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93286199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 4*q = 16, 7*m + 3*q = 11*m + 23 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by -12085.\nAnswer: 18\/12085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -498*i + 3893. Calculate r(8).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 15. Let r be (-35)\/5 + (2 - x). Let v be 10\/(-15)*r\/(-6). What is the second biggest value in 0, v, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (36\/(-7))\/(-3). Let o = 140 + -978\/7. Solve d - o*i**2 + 0*i = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -224.\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 51 and 1083342?\nAnswer: 1083342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 12:36 AM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppwwppppp. What is prob of sequence pp?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 60052 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -5*r + 589, -130*g + 125*g = r - 104. Is 2\/11 greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -357 and -4?\nAnswer: 1428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + c + 3 = 32, -79 = -5*o + 4*c. Calculate the remainder when o is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 5*g - 25 = 0, 5264*w = 5262*w + 2*g - 10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 9:25 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1518 and 3938?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -o**6\/240 - o**5\/20 - o**4\/3 - 3*o. Let u(b) be the third derivative of a(b). Is u(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 24 = -3*k. Suppose -5*o = k*x - 8, -o = -6*o + 3*x + 29. Which is the third smallest value? (a) -1\/2 (b) o (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 6*c + 3*n - 20, -c + 8 = n. Solve -c*s = -4 + 16 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -537 (b) -1\/2 (c) -0.1509 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - -7)*1*-1. Let s = m - -11. Suppose s = o - 22. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.277, -1\/2, -2\/35, 63\/10 in increasing order.\nAnswer: -1\/2, -0.277, -2\/35, 63\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 7*y + 19. Let o be w(-2). Suppose -4*a - o*l = 369, -1 = -2*l - 11. What is a rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 u when two letters picked without replacement from rsur?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 18*o**3 + 71*o**2 + 4*o + 35. What is r(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32499702.\nAnswer: 2, 3, 61, 29599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.316, -55, 6\/11, -414?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 384931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 25002?\nAnswer: 25010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vq when two letters picked without replacement from {v: 1, m: 1, c: 2, k: 1, q: 2, e: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/217176 and 23\/868704?\nAnswer: 868704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*g - 1336*g + 2481 + 9139 = -1470 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -87 - -a4?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(648)*6)\/sqrt(6).\nAnswer: 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1490.6*1820\nAnswer: -2712892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -3*r + 2*r - 10, -3*r - 6 = -4*y. Let d be (-1 - -5)\/(4 - 2). Suppose -d*f = y*f - 60. Is f a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -73 and -932\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/855 in -4, -3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b + 5. Suppose 1 = 2*u - 11. Let x be m(u). List the prime factors of (-3 - x)*-1 - -5.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2 + 120*h - 132. Give n(-61).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2 - -8) + -3 - 7 - 29) + 8.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/16)*h*h\/h**(2\/3)*h)\/(h*h\/h**(1\/13)*h**(-1\/2)) assuming h is positive.\nAnswer: h**(529\/624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (4 + -1)) + -224 + 203?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -941566, -1883149, -2824732, -3766315?\n\"Answer: -941583*j + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10145, 20534, 31085, 41798, 52673, 63710?\n\"Answer: 81*y**2 + 10146*y - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/(-6)*372\/(-434). Let i(d) = 4*d**2 + 7*d + 7. Suppose 3*m + 2 = -40. Let k(t) = t**2 + t + 1. Give m*k(u) + o*i(u).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 4*r - 2*r - 15, 0 = -3*r + 5*l + 25. Suppose -5*w + b + 95 = r, -2*w + 3*b - 2*b = -41. Does 6 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - -1.709925?\nAnswer: 1.809925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 54 = n, 6*r = n + 10*r - 78. What is the highest common divisor of 7750 and n?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of 9*c**2\/2 + 8*c + 367. Calculate z(-6).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -2, 38, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1307 + 0?\nAnswer: -1307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.53 - -3.53. Which is the nearest to -8? (a) -2\/21 (b) -2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002215167 rounded to 7 decimal places?\nAnswer: -0.0002215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33048*g**3 + 108456*g**2 wrt g?\nAnswer: 198288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eegeteegtedejteee. Give prob of sequence ggd.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -174*k*w**3 - 3*k*w**2 - 5*k*w - 47*k + 1002965*w**3 wrt k.\nAnswer: -174*w**3 - 3*w**2 - 5*w - 47","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/1512 and 127\/1599696.\nAnswer: 1599696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**3*r**3 - j**3 - 204*j**2*r**3 + 412*r wrt r.\nAnswer: 12*j**3*r - 1224*j**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -54\/15185 and 11\/106295?\nAnswer: 106295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5*f + 48, 24 = 3*f - c + 4*c. What is the remainder when f is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5 (b) 0.21 (c) -4 (d) 15930\/11 (e) -0.1 (f) 0 (g) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/6*-3 - (-21 - -5). Calculate the highest common factor of h and 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)*4*6)\/(sqrt(972)*5).\nAnswer: 8*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.5 (b) 0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 364981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.4 - -0.2. Let u = 0.5 + -0.1. Let f = q + u. Which is the second smallest value? (a) -3\/5 (b) -1\/2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 412.102 decades to millennia.\nAnswer: 4.12102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (20\/50)\/(1\/5). Find the second derivative of -47*z**3 + 3*z - 4*z**3 - i*z - 2 + z wrt z.\nAnswer: -306*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(4\/3)\/(m\/((m\/((m*(m\/((m\/m**33)\/m*m))\/m*m)\/m))\/m)) assuming m is positive.\nAnswer: m**(-98\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11065 - 11065 + 535*u**2.\nAnswer: 535*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0085732847 rounded to 4 dps?\nAnswer: 0.0086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -72.5 - -81. Let x = r - 6.5. What is the third biggest value in x, 6\/11, 4?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99646999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(-1)\/1 - -90. Let w be -1*((-1 - -13) + -4). Let s(i) = 2*i + 24. Let o be s(w). Calculate the greatest common factor of z and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -6*h**2 + 31*h - 2. Let q be r(5). Which is the closest to -1\/3? (a) q (b) 0.3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*g**3 + 21398898*g**2 - 21398898*g**2 + 65*g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 125218, 250430, 375642, 500854, 626066?\n\"Answer: 125212*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11\/3 (b) -0.03 (c) -4 (d) 0 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 2*t - 28 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 694.\nAnswer: 3470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - 18. Suppose -23 + 3 = -g*y. Suppose -22 = y*s - 2*q, q = 5*s - q + 30. Is s less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uqmm when four letters picked without replacement from {c: 1, u: 3, m: 1, q: 5, z: 5}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-130617)\/(-1311) + (-155 - -55)?\nAnswer: -7\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 797 = -2*t, -22*t + 18*t + 3*s - 1603 = 0. Which is smaller: t or -2006\/5?\nAnswer: -2006\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 + 4*s + 3. Let t be k(-2). Let u = t - -1. Suppose -u*o = -4*a - 116, 0*a + 49 = o + 4*a. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -46625?\nAnswer: 4\/46625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -k**6\/3 - 2*k**5 + 33*k**4\/2 + 54*k**3 - 432*k**2 + 648*k + 260. Determine c, given that v(c) = 0.\nAnswer: -6, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-4) + ((-23655)\/(-228) - 94).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 112 and 0.26.\nAnswer: 112.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 (base 5) in base 8?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - p**2 + p. Let b(g) = g**3 - g**2 + g - 3. Let x(n) = n - 2. Let q be x(3). Let s(m) = q*i(m) - b(m). Differentiate s(z) wrt z.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 5. Let v = 135\/7 + -2337\/119. Which is bigger: n or v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b - 10*b = -76*b + 480. What is the remainder when 193 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*u**3 - 26*u**2 + 26*u**2 + (3*u - 3*u - 2*u**2)*(10*u + 4*u - 16*u) as k*u**3 + t*u + l*u**2 + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 768?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(7\/2)*(i\/(i\/(i\/(i*(i\/i**0*i)\/i))))\/i)\/((i*i**(6\/11))\/((i**5*i)\/i))*(i*i**1)**(-10)*(i**2\/i*i)**(2\/3) assuming i is positive.\nAnswer: i**(-905\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-10))\/(((-27)\/(-12))\/((-897)\/598))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 139 - -236. Suppose -x = 12*y - 15*y. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -a - 2*g - 2, 2 = -3*a + 5*g. Let y = 56408\/609 + 26\/609. Let i = 93 - y. What is the second biggest value in -3, a, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -58716770*k**5*o - 29*k**2*o - 6945*k*o - 28*o wrt k.\nAnswer: -3523006200*k**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*q - 2 - 9 = -11 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/13 in 2, -0.4, 0.3, 52, -126?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-9)*x**(-1))**(-30) assuming x is positive.\nAnswer: x**300","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0\/(n\/n**5))**(1\/11) assuming n is positive.\nAnswer: n**(4\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 485465, 970926, 1456387, 1941848, 2427309?\nAnswer: 2912770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 67741435 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.11 - 0.69. Let l = -215739\/4 + 53935. Which is the second smallest value? (a) -1.1 (b) n (c) l (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5591908 divided by 1\nAnswer: 5591908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(9\/2)*u\/u**(1\/6)*(u**1\/u)**42)**(-20) assuming u is positive.\nAnswer: u**(-320\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23\/10 - -3\/2. Let k(d) = 212*d + 4. Let w be k(0). Which is the nearest to w? (a) -3\/5 (b) m (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 10 = 72*c - 67*c, -2*c + 4*z + 4 = 0. Is 445698\/(-36)*(-3 - (c - 3)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1838286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3376 + 3375. Let a(z) = z**3 + z**2 + z + 1. Let u(q) = 6*q**3 + 5*q**2 + 5*q + 5. Calculate p*u(y) + 5*a(y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 446.3 in 1\/7, 0, 29, -3?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4863*u**2 + 5*u**3 + 4863*u**2.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/9 - (-1475)\/(-180) and 7\/33?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3\/4, 251\/2, 5 in ascending order.\nAnswer: -5, 3\/4, 5, 251\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(605)*-3*4 + (sqrt(40)*3)\/sqrt(8) + sqrt(5) + -3.\nAnswer: -128*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47.32 + -7.\nAnswer: -54.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 3\/2*r**4 + 27\/2*r + 21\/2*r**3 + 45\/2*r**2 + 0 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7863 + -13694. Let i = o - -11262. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 21d3 + -11b?\nAnswer: 20b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/110 and -69\/80?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 2:56 AM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-seven fifths of a millennium?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 - -7. Let f be (-1)\/2*n\/24. Let s = f + -109\/6. Find the common denominator of s and -26\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6757 (base 12) in base 13?\nAnswer: 5293","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -1\/2*t**6 - 3\/2*t**2 + 2*t**3 + 3\/2*t**4 - 3*t + 4 - 3\/5*t**5. Factor s(r).\nAnswer: -3*(r - 1)**2*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11221\/4 or -2804?\nAnswer: -11221\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 - -47. Let k be 4 + (-2 - 0)\/p. What is the smallest value in 0.1, k, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 112 = 8. Let j = 44 - v. Let r(n) = -n**3 - 9*n**2 + 8*n. Let o be r(-10). Calculate the highest common divisor of o and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -96 - -140. Calculate the smallest common multiple of 4\/(5\/((-70)\/(-4))) and v.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(0 - (-1 + 2)). Does 3 divide -2 + (u - 1) + 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7462130624 + -4?\nAnswer: -7462130630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 9. Which is the closest to 2? (a) -2\/7 (b) 3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -0.4, 0.4 in ascending order.\nAnswer: -3, -2, -0.4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 3*f = -2, 2*a = -2*f + 5*f + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - 2\/16*22. Put m, 2\/17, 3 in ascending order.\nAnswer: 2\/17, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90836, -90835, -90834, -90833, -90832?\nAnswer: -90831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*v - 2 = 2*v, 4*z - 16 = -2*v. Suppose 2*q + 22 = 4*q - 3*w, z*q - 6 = -5*w. List the prime factors of 1*29 + 24\/q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b, 1 e, and 1 g when four letters picked without replacement from {l: 2, g: 1, b: 4, e: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 47 = 3*x, 4*i - x = -5*x - 52. Let h(k) = k**2 + 4*k - 10. Let r be h(i). Let u = -8 + r. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -24*l + 4. What is the units digit of w(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 2670*m + 356457. Let l(a) = -5*a**2 + 16020*a - 2138745. Let q(w) = 4*l(w) + 25*r(w). Factor q(o).\nAnswer: 5*(o - 267)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/(-24)*3\/(-5). Let j(l) be the second derivative of 2*l - l**2 - a*l**5 - 4\/3*l**3 + 0 - 1\/15*l**6 - l**4. Suppose j(f) = 0. What is f?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 1:57 AM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -4*l + 3. Let s be r(-5). Let b(m) be the first derivative of -2*m**3\/3 - 12*m**2 - 16*m + 38. Let o be b(-10). Is o > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121232 + -1110031?\nAnswer: -322133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-97450)\/(-165)*3\/(-2). Let l = x - -887. Is 0 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126366*d**2 + 252742*d**2 - 126376*d**2 + 10*d**3.\nAnswer: 10*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -5*y + 20. Suppose -2*k - 9 = -69. What is the greatest common factor of y and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 8*u**2 + 9*u - 11. Is i(-5) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 6.6. Let y be 4 + (-132)\/35 + (-4)\/5. Let u = 141 + -137. What is the closest to b in 0.4, u, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 + 14 = 8*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -6. Let i be (1\/(-3)*g)\/(-1). Let c = 0.7 - 0.2. What is the smallest value in c, -3, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 13 = 4*j, -r + 19 = -5*j - 5*r. Let u(b) = -b**2 + 7*b + 6. Let i be u(7). Let v(f) = 2*f - 12. Let s be v(i). Sort s, j, -5.\nAnswer: -5, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a year in months?\nAnswer: 34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -30. Let q = p - -16. Let c(o) = o**3 + 2*o**2 - o - 1. Let i(a) = -2*a**3 - 7*a**2 + 6. Let w(t) = -3*c(t) - i(t). Calculate w(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - q - 4 = 9*g, 4*g + 24 = 4*q for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 70574 = 11*g - 51786. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -102235286*a**2*z**3 + a**2*z + 2*a**2 + 3*a*z**5 - 1252*a*z - 11919*a wrt z.\nAnswer: -613411716*a**2*z + 60*a*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 8 = -3*r, -325*k + 320*k = 4*r + 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.223627 and 0.3.\nAnswer: 0.076373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c**2 + c. Let l be k(-1). Let s(a) = -a**3 - 2*a**2 + 5*a - 2. What is the units digit of s(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 212*w**2 - 92*w - 353. What is the remainder when o(-4) is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4\/29 + -45\/116. Let v = -4.92 + -0.08. What is the nearest to 1 in v, 3\/7, i?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 617 + -208. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, n: 10, c: 4}. Give prob of picking 2 g and 1 c.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of 79*v**4\/12 + v**3\/6 - 1911*v**2 - 4. Let c(h) = -13*h. Calculate c(w(f)).\nAnswer: -2054*f - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12101 + 1022?\nAnswer: -11002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4409 + 4409 - 7*u**2.\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 59718.\nAnswer: 2\/29859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 24 - 0. Suppose 3*v - 6*u + 3*u = j, -3*v + 12 = u. Sort v, -7, 7.\nAnswer: -7, v, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 724 - 722. Suppose v - 7*x + 11*x = 19, 4*v + 14 = n*x. Which is smaller: v or 2.19?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53 - 7. What are the prime factors of d?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f*g**2*y**3 - 23*f*g**2*y**2 - 5295*f*y**3 - g**2*y**2 + 85*g*y**2 wrt y?\nAnswer: 12*f*g**2 - 31770*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39903.\nAnswer: 3, 47, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -89 - -91. Solve 0 = -u - 3*u - 4*o - 12, 0 = -5*u - c*o - 12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -168.0218824456 plus 2?\nAnswer: -166.0218824456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 7:55 PM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 105 - 89. What is the least common multiple of 56 and d\/(-10) - (-5894)\/35?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5470.659 millimeters?\nAnswer: 547.0659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 248 - 94 = 0. What is the remainder when j is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 357 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifteen quarters of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 2*r + 38 = -2*r, -11*c + 553 - 504 = -3*r for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*c + 60 = 113*c. Solve 9 = 3*v - 0, -c*b = 5*v - 30 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8352298 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((24 - 24 - 7*t)*(5*t**2 + 8*t - 8*t) + 15 + 9*t**3 + 16 - 38)*(-3 - 3 + 5).\nAnswer: 26*t**3 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r + 11. Let a be m(2). Suppose -2*f = -a*v - 862, 0 = -2*f + 6*f - 2*v - 1708. Suppose 31*b + f = 33*b. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212*p + 461 + 175 = 0. Suppose -5*i - 10 = -0*i. Let a(n) = -n - 3. Let l(t) = -2*t - 3. What is i*a(o) + p*l(o)?\nAnswer: -4*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51232, 51210, 51188, 51166, 51144, 51122?\nAnswer: 51100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -4*n**2 - 11*n - 12. Let l(s) = -9*s**2 - 23*s - 25. Let p(r) = -6*l(r) + 13*m(r). Let g be p(3). What is the units digit of (-10 + g + 0\/1)*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 1597*g - 2. Let y(p) = 423207*p - 531. What is 531*l(w) - 2*y(w)?\nAnswer: 1593*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 177277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2))**(-1\/10)*d**20\/(d**0*d) assuming d is positive.\nAnswer: d**(96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 8*r**2 - 11*r + 3. Suppose 0 = 14*f - 10*f. Suppose 0 = -3*o + 15, 5*k - 4*o + 0*o - 20 = f. Is v(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q + 6*q - 9*q**2 - 2*q**3 - 6*q to u*q + n*q**3 + f + c*q**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 - 11*y**2 + 10*y + 8.\nAnswer: (y - 4)*(y - 2)*(2*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -404*d**3 + 198 with respect to d.\nAnswer: -1212*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*s = -48*s + 3*h - 21, -4*s - 4*h = 44 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1038, 2078, 3118, 4158, 5198?\n\"Answer: 1040*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 1409562?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of k**4\/4 + k**3 + k**2\/2 - k - 2455. Determine m(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 (base 7) in base 4?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r + 0*r - r + (-1983*r - 3265*r + 810*r)*(3 - 4 + 2).\nAnswer: -4440*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/4975640 and -97\/4975640?\nAnswer: 4975640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**4 - 63*u**3 + 5*u**2 + 5*u + 94. Let s(l) = -31*l**3 + 2*l**2 + 2*l + 47. Let q(y) = -2*a(y) + 5*s(y). What is the first derivative of q(c) wrt c?\nAnswer: -8*c**3 - 87*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 563.0946573 + -589.194646. Let c = 226 - 199.9. Let u = c + b. What is u rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 56 + (-2)\/4*8. Let w = -48 + y. Suppose 57*j - 55*j = 4. Solve -j*v = -w*v - 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 29*z - 187. Let h be q(12). Let i = -161 + h. What is the smallest value in 2, 3\/8, i, 0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 24, -2, -4, -1 in decreasing order.\nAnswer: 24, -1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (9 + -4)) + -1 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 2*t + 5. Let v(q) = q**2 - 10*q + 13. Let m be v(8). Let n be f(m). Let s(b) = -7*b**2 + 5 + n*b + 9*b**2 + 2*b**3 - 4. Calculate s(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*a**3 - 27*a**3 + 2*a**3 - 14*a**4 + (-1 + 1 - a**3)*(0 + 0 - 6*a).\nAnswer: -8*a**4 + a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 11459.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 0 + 5 + 2*w + w - 5*w. What is the remainder when 56 is divided by r(-7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.075862 - -0.07632603. Round c to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/9)\/(((-18480)\/(-99))\/10).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2399 + 236 = 0. Calculate the remainder when o is divided by 32.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 24*k**2 + 24*k - 22. List the prime factors of l(-21).\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1376, 43\/2, -4, -0.1, 1 in decreasing order.\nAnswer: 43\/2, 1, -0.1, -4, -1376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 7*r + 2*r - 380 = 0, 0 = 2*b + 2*r - 352. What are the prime factors of (2\/(-6))\/((-5)\/b)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 + 2*f + 5. Let u = -5 + 30. Suppose 5*v - 5*a = u, -8*a - 11 = 2*v - 3*a. Let p(x) = 1 + 3 + v*x**2 + 2 + 0*x + 2*x. What is 6*h(n) - 5*p(n)?\nAnswer: 2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 17551495 and -49.\nAnswer: 17551446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 78\/5 + -47\/3. Let r = k - 3\/5. Which is the third smallest value? (a) r (b) -3\/5 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217405031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.3 - -272.7. Let c = d + -281. Let m be ((-2)\/(-6))\/((-2)\/2). What is the nearest to m in -0.2, c, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-4)\/6 - -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8743, -35167, -79209, -140869, -220147, -317043, -431557?\nAnswer: -563689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11e + -5393?\nAnswer: -5274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -4566 (c) 34.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30 + 13 - -11) + 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.96728km to centimeters.\nAnswer: 1696728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/16 + ((-23)\/(-4) - 2). Suppose -3*t + 20 = 5. Solve t*z - 3 = b + 15, z - 12 = -k*b for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(76)\/sqrt(4)*5 + (sqrt(114)*2)\/sqrt(6)))**2.\nAnswer: 33516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6034510121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-10 + 9 - (0 - (-3 - -6))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 227\/(-4) - 23\/92. Let i = 46 + q. Round i to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 + 42 + 9*x**2 + 4*x**2.\nAnswer: 13*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g - 4. Let l(r) = -20*r - 20*r + 63*r - 22*r. Determine c(j) - 3*l(j).\nAnswer: -j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 240, 245, 254, 267?\n\"Answer: 2*y**2 - y + 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 36455, 145903, 328355, 583817, 912295, 1313795, 1788323, 2335885?\n\"Answer: n**3 + 36496*n**2 - 47*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1366623598 to the power of 1\/4, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -124*v**3 + 2*v**4 + 9*v**2 - 1 - v + 122*v**3 + 1 to the form l*v**4 + o*v**2 + t*v**3 + a + c*v and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 146087927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.317 and 20.\nAnswer: -6.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (26 - 33) + (4 + 0 - (3 - -10))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*a*p**3 - 264*a*p**2*x + 30*a*x - 4*p**3*x + 26*p**3 + 17*p*x + 6 wrt a.\nAnswer: -3*p**3 - 264*p**2*x + 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -j**4\/4 - 2*j**3\/3 + j**2 - j + 4. Let b be q(-4). What is the highest common factor of b and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 0*r + 70 = 0. What is the remainder when 40 is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6614 is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 b when four letters picked without replacement from {b: 9, m: 2, w: 3, r: 1, n: 3}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*b - 43*b - 192 = 62*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*d = -77, 2*b - 28 = -3*d + 15. Suppose 3*v = 5*v - 6, -5*a = -v - 152. Differentiate 8*k**4 - 1 + a - b with respect to k.\nAnswer: 32*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 1268 = -3*p, 1131 - 291 = -2*p - 2*f. Suppose 4 = 4*q - 16, -2*d - 31 = -5*q. Does 13 divide -5 - p\/(-6)*d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2510\/3 - 4009\/3. Let z = 503 + a. Factor 1\/3*r**2 + z*r + 25\/3.\nAnswer: (r + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 11*t**2 + 7*t + 38. Let g(b) = -5*b**2 - 3*b - 18. Let w(m) = -6*a(m) - 13*g(m). What is w(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5154291 years to decades.\nAnswer: 0.05154291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7124 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55 + -33. Solve 9*f = 4*f + 3*v - 13, 3*v = -2*f - k for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1450*b + 863*b + 8977 = -2236 - 29877 for b.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 169 and 273?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 6*t**2 + 7*t - 6. Let x be a(7). Let d be (-8)\/x*(-18)\/4. Let q be 2\/10 - d\/(-30). Solve 0*z + 2*z = q for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168867 and 348?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -c + 378. What is the greatest common factor of 9 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4106)\/(-4) - ((-759)\/46 + 16). Calculate the highest common divisor of 52 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 499?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 6874.\nAnswer: -3\/6874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41 + 38. Let c(q) = -q**3 - 4*q**2 - 2*q + 3. What is c(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b + 5a42a?\nAnswer: 5a3bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 869\/3991 - -4\/307. Let v = -312 + 316. What is the closest to p in v, 3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*i - 8*i - l - 7, -4*i = -l - 25 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -3*n + 5*q, 0*q - 4*q = 4*n - 156. Is 6 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44*-0.152\nAnswer: 6.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - -5325025411782?\nAnswer: 5325025411758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2615868875 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116878 is divided by 58426?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 2*b + 6. Let s be (-150)\/(-39) - (-4)\/26. Let p be j(s). What is the greatest common divisor of p and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**4 - 13*m**3 - 41*m**2 - 47*m - 18 = 0. Calculate m.\nAnswer: -9, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(95) - 1*sqrt(95))*2 - sqrt(95)*-2*1)*-2)\/((sqrt(5) - sqrt(5)*-2)*4 - (sqrt(320) - (sqrt(320) + -2*sqrt(320) + sqrt(320)))))**2*2.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 67.54 + 1.46. Let h = -49 + b. Let d = h - 19. Put d, -5, 5 in decreasing order.\nAnswer: 5, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 366223*c + 912 = 366199*c for c.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 1. Let x(c) = 10*c - 5. Determine 4*i(v) + x(v).\nAnswer: 10*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 644 divided by 46\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(225)*1*-6)\/(5*(sqrt(3) + (sqrt(3) - -1*sqrt(147)) - sqrt(6)\/(sqrt(2) + sqrt(6)\/sqrt(3)))).\nAnswer: -72*sqrt(3)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) -3\/4 (c) -0.197\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-28)\/(k*(k\/(k*k\/k**(-2\/63)))\/k) assuming k is positive.\nAnswer: k**(-1699\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000142882601 to five decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + -4 + (sqrt(117) - (2*sqrt(117) + 3) - (sqrt(117) - (4 + -3 + sqrt(117))))))**2.\nAnswer: 750*sqrt(13) + 3550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 - 644592*d - 6445520.\nAnswer: -4*(d + 10)*(d + 161138)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 7966.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1*sqrt(80) + sqrt(80) + sqrt(80))**2.\nAnswer: -3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -29*x**3 - 30*x**2 - 3*x. Let j(c) = 28*c**3 + 30*c**2 + 4*c. Let a(r) = 3*j(r) + 4*z(r). What is the third derivative of a(y) wrt y?\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37522 divided by 574\nAnswer: -18761\/287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 12*m**4 + 4*m + 8. Let t(f) = 6*f + 4*f**4 + 3 - 13*f + f + 7*f. Let a(g) = 8*t(g) - 3*z(g). Find the second derivative of a(s) wrt s.\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28551 times -502.4?\nAnswer: 14344022.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59663778.\nAnswer: 2, 3, 17, 31, 18869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16.15 + -16. Which is smaller: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5034422357 to the power of 1\/2, to the nearest integer?\nAnswer: 70954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*j + 46*j - 312 = 0. Solve -4*k = 5*w - 0*k + j, -k = 4*w + 17 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -5. Let f(u) = 0 + 0 + 5*u**3 - 10*u**2 + 3*u**2 + 5*u. Let p(i) = 10*i**3 - 14*i**2 + 11*i. Let l(c) = z*p(c) + 7*f(c). Solve l(g) = 0 for g.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15211017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13283 + 11129. What is the ten thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 999 is divided by 113?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 0*q**2 + 7 - q**3 + 5*q - 5*q**2 + 4*q**2 - 6*q**2. Calculate the remainder when z(-8) is divided by (-22)\/(-8)*(-1 - -5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-143)\/4 + (-3)\/12 + -26 + 17)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - f + 4*f)*(f - 2*f**3 - f) + 3*f**4 - 119*f**3 + 20*f**2 - 12*f**2 - 8*f + 118*f**3.\nAnswer: f**4 - f**3 + 8*f**2 - 8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 9341*t + 543. Is j(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1902 by 6.\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 109, 294, 593, 1006?\n\"Answer: 57*h**2 + 14*h + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11724 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from {q: 2, e: 17}.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 6703*o + 5 - 6360*o to the form m + j*o and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 5*n**2)*(-5 + 2 - 4)*(-4 - 7 + 5).\nAnswer: -210*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 407073.1 centuries?\nAnswer: 488487720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10735 - 15465. List the prime factors of (-40)\/5 - p\/5.\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(2700) + -5 + sqrt(2700) + 2 + sqrt(2700) - 2*sqrt(2700)*2)*3)**2.\nAnswer: 6480*sqrt(3) + 97524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -7. Suppose 2*n = 3*s - 2, -4*s + g = -2*n - n. Which is bigger: -4\/17 or n?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5148827, 20595352, 46339567, 82381478, 128721091, 185358412, 252293447?\n\"Answer: j**3 + 5148839*j**2 + j - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z + 3*z - 2*z - 7*z. Let j be x(0). Let d(p) = -p**3 + p**2 - p + 208. Let g be d(j). Round g to the nearest ten.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, r: 5, e: 3}. What is prob of picking 1 h and 1 e?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 30*z + 3. Suppose -209*d = -205*d - 9 - 147. What is the remainder when t(5) is divided by d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3599082 rounded to 3 decimal places?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1080 divided by -2?\nAnswer: -540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66\/44)\/(119\/(-56) + 2\/16).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s**3 - 866*s**2 - 3988*s - 1456 = 0 for s.\nAnswer: -4, -2\/5, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (4607*r - 318648 + 318648)*(6*r**3 - 3*r**3 - 2*r**3) as k*r**2 + f*r**3 + g + x*r**4 + y*r and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -5*k + o - 38, 4*o = -k - 19. Let x = k + 64. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 0.206\nAnswer: 1.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 808700136221 and -3.\nAnswer: 808700136218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/(c\/c**19))*(c\/c**(-22))\/c*c**21*c**(15\/4) assuming c is positive.\nAnswer: c**(115\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 64 - 63.999999998. Round s to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 93*p. Let m be d(-2). Suppose -3 = -i, -2*k + 12 = 4*i - 6. Is k + 0 - m\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s - 62 = 134. Let y = -30 - s. Let k be 10*((-12)\/(-5) + y). Solve 48 = k*t + 4*u + 20, 3*t - 24 = -4*u for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3483 is divided by 147.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 3*y - 6. Let h be f(-5). Suppose 12 = 4*t - 4*l, 3*l - h = 2*t - 6. Calculate the highest common divisor of 35 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19a047 (base 16) in base 15?\nAnswer: -232921","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11714094767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 67657 times -1?\nAnswer: -67657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (299\/(-92))\/13*(-16)\/54.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 685313263 to the nearest integer?\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5044 (base 7) in base 6?\nAnswer: 12031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1395 is divided by 1374?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, e: 6, w: 3, h: 3}. Give prob of picking 2 e.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*n = 3*y - 14, 0 = 5*n + 5. Calculate the lowest common multiple of 10 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -5*o**3 - o**2 - o - 1. What is the remainder when t(-1) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1252 is divided by 624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-22)*s**(1\/7))**0 assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - -42. Suppose -14 = o - k. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1688057 and -5.\nAnswer: -1688062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**3 + 7*l**2 + 6*l + 6. Let q(o) = -4*o**3 + 14*o**2 + 13*o + 13. Calculate -6*q(z) + 13*t(z).\nAnswer: -2*z**3 + 7*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 45 = -4*v, 29*v + 10 = 25*v + 2*m for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 8*s**2 - 37*s - 29. Let a be g(-11). Solve 17 = u + a for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 736 = 2*x. Let g = x - 283. Let c = -51 - g. Is c a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**6\/120 - a**5\/10 + a**4\/24 - 8*a**3\/3 + 11*a**2. What is the units digit of p(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (240\/(-7770))\/((-200)\/70)?\nAnswer: 2\/185","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -11 - -12) + 1 + -9?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -5*d**3 - 32*d**2 + 13*d - 6. Let x(h) = h**3 + 6*h**2 - 3*h + 1. Let t = 331 - 320. Let v(q) = t*x(q) + 2*o(q). Determine v(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3876068 to the nearest integer?\nAnswer: 1969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of 419*r**4\/2 + 100*r**3 - 2*r - 270. Find the third derivative of f(l) wrt l.\nAnswer: 5028","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 3, 0.29, 2\/5 in increasing order.\nAnswer: -1\/3, 0.29, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 9*g**2. Let z be (-12 - -12)\/((14\/8)\/(2\/8)). Let t(d) be the second derivative of z*d**3 - 1\/4*d**4 + 8*d + 0*d**2 + 0. What is t(o(i))?\nAnswer: -243*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7311 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: Let v = 2.7 + 15.3. Let i = -18 + v. Let w(x) = -54*x + 323. Let p be w(6). What is the nearest to i in 2\/7, -0.11, p?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2240 and 5768?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -85*r**3 - 2172*r + r**3 - 12 + 2172*r - 80*r**3 as h + c*r**3 + g*r + y*r**2 and give c.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*h**3 + 11*h**4 - 4*h**3)*(-5 + 5 + 3) + 4*h**4 - 5*h**4 - 3*h**4 in the form f*h + g + l*h**4 + v*h**3 + w*h**2 and give l.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 5, 4933, 0.2, -0.061, 2\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-5))\/(1\/5). Let m be 4\/6*u + -8. Let l = 2 - m. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 3*i**2 + 2*i - 3. Let m be n(3). Is m\/(-2)*(-1490)\/15 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -15*t**2 - t - 56. Let m(g) = 5*g**2 + 18. Determine 7*m(h) + 2*w(h).\nAnswer: 5*h**2 - 2*h + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.01 - -6. Let p = 4.1 + -0.1. Which is the nearest to 0.1? (a) p (b) -2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*g = -19*g - 8 - 169 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 11*k - 6. Let g(y) = y + 2. Let c(n) = 2*g(n) + h(n). Calculate c(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*p**2 + 2 + 143*p**2 + 577*p**2 to the form v + d*p + k*p**2 and give k.\nAnswer: 780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b*f**2 - 10*b*f*s + 30*f**2*s - 237*f**2 with respect to s.\nAnswer: -10*b*f + 30*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y + 10. Suppose 0 = -0*s + 2*s - 24. Suppose 2*h + 2*o - o - 26 = 0, 4 = 2*o. What is the remainder when f(s) is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -5688?\nAnswer: -5684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.28 + -48.72. Let p = 48.99999942 + l. What is p rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2503*r**3 - 2*r**2 - 100*r + 533. Is n(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 145*h**3 - 145*h**3 - 29*h**5 + (2*h**4 - 5*h**4 - 6*h**4)*(32 - 32 - 9*h).\nAnswer: 52*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3079\/2 + 1583. Suppose 3*x + i = 3*i + 1888, 4*i = 3*x - 1886. Find the common denominator of 2\/(-5) + (0 - 813\/x) and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**5 + 4*w**4 - 49*w**3 - 196*w**2.\nAnswer: w**2*(w - 7)*(w + 4)*(w + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 11:21 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58210?\nAnswer: 2, 5, 5821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**2 - 2*w. Let c = 1888 + -1876. Let y(n) be the second derivative of 0 - c*n + 1\/6*n**4 + 1\/3*n**3 + 1\/2*n**2. Calculate 3*r(i) + 2*y(i).\nAnswer: -2*i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((73160\/36)\/118)\/(4\/((-48)\/(-10)))?\nAnswer: 62\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 p when four letters picked without replacement from rrpprrrprprrrr.\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l - 2024*s = 4*l - 1943*s + 153, s = 3*l + 7 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3 less than -0.5275?\nAnswer: 1.7725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4155896?\nAnswer: 2, 519487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 5*-2*(sqrt(2448) + 1))**2*-2*-1.\nAnswer: 4800*sqrt(17) + 489800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-150 - -155)\/((-1)\/2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6059, -6043, -6027, -6011?\n\"Answer: 16*s - 6075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a millennium in months?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(19) + -1 + (-1 + sqrt(19))*-6 + -4)**2.\nAnswer: 30*sqrt(19) + 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24910 - 24906. Solve 2*m = t*w + 22, 0 = -4*w - 3*m - 13 + 6 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12928 + 12928 + 394*b**5 + (0*b**3 - b**3 - b**3)*(b**2 - 4*b**2 + 2*b**2).\nAnswer: 396*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4*h - 65 = 27, 68 = 4*a + 4*h. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*c - c - 6*c)*(0 + 1 + 1) to the form y*c + f and give y.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -36 (c) -13 (d) -0.15 (e) -2\/21 (f) 5 (g) -47\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/280 and 43\/40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1381, 1377, 1371, 1363, 1353, 1341, 1327?\nAnswer: 1311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l - 22. Calculate p(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.8255 plus 2763904956?\nAnswer: 2763904967.8255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (15 - (62 + 7))) + -10.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/10 + (-2)\/(-4). Let p = -118 - -115. Put r, p, 2, 5 in descending order.\nAnswer: 5, 2, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 690538 and 758.\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4*w**2 + 12*w**2 + 2 + 18*w - 4 - w**3. Suppose 110*y = 2*o + 115*y - 34, -o = -4*y - 17. What is the units digit of u(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(5\/2) - (-40387)\/5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7 + -151.757588?\nAnswer: -149.057588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 20*x - 29. What is the tens digit of k(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -372\/5? (a) 1 (b) 127\/2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c. Let h be 35\/12 + -4 + (-343)\/(-84). Let l(d) be the second derivative of 0 - 7*d - 7\/3*d**h + 0*d**2. Give l(b(y)).\nAnswer: -14*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 6*h - 2. What is the lowest common multiple of k(1) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1133 - 1115. Calculate the remainder when 949 is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.6564 nanoseconds in seconds?\nAnswer: 0.0000000466564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 559.84 + -598. Let h = r - -38. Are 1\/2 and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o = 5*o + 4*c + 59 - 21 - 41, -4*o + 26 = 3*c for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) -5 (b) 2\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - a**2 + 1. Let h(s) = 4*s**3 - 2*s**2 + 2. What is -2*f(d) + h(d)?\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (2 - (-12 + 8)) + -12\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vppcpvvvvvpvpavvv. Give prob of sequence av.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**2 + 16*g + 16. Let d be a(-12). Let j = 709 + d. What are the prime factors of j?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1540)\/(-30))\/11*46125\/78925\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j**2 - 5*j + 6. Let h be n(6). Find the common denominator of 125\/6 and (-1205)\/h + (-1)\/(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112 (base 7) to base 14\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1720185 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 635 - 635. Let t(f) be the third derivative of f**2 + 0 + 1\/224*f**8 + 0*f + 1\/16*f**4 + 0*f**3 + z*f**7 + 0*f**5 - 1\/40*f**6. Factor t(y).\nAnswer: 3*y*(y - 1)**2*(y + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(-447*m**2 - 434*m**2 + 2059*m + 1316*m**2 - 438*m**2).\nAnswer: -3*m**2 + 2059*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -450*c + 884*c = 451*c + 272 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: a (base 12) to base 5\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -10*f**2\/3 - 214*f - 7028\/3 = 0.\nAnswer: -251\/5, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*t + 4 - 4)*(4*t - 6*t + t) + 0*t**2 + t**2 + 2*t**2)*(-4*t**2 - 2*t**2 + t**2)*(0 - 2 + 1).\nAnswer: 35*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6010, 6014, 6020, 6028, 6038?\nAnswer: 6050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10121121122122 (base 3) in base 8?\nAnswer: 7250557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 3 - 7 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -88*(-6)\/4 + 3 is divided by (-34)\/10 - 9\/(-3) - 237\/(-5).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q. Let g(r) = 2*r**2 - 3*r - 1 + 1 - 3*r + 2. Let d be g(4). List the prime factors of z(d).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -1) + 6\/2. Suppose -582 = -j*f + f. Suppose -3*i + i = -f. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-11 - 2) + -3 + 10 + 816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 j when two letters picked without replacement from pjpkkgpkgzgkk.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3825*x - 74 = -7655*x + 3828*x - 0*r - 4*r, 3*x - r + 36 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (3 - (1 + -2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1884.431170191 - -21?\nAnswer: -1863.431170191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) - (sqrt(1053) + 2 + 0))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -1, -132, -2, 5 in increasing order.\nAnswer: -132, -2, -1, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 4:02 PM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/1995 + -397\/1995. What is the nearest to -0.21 in 2\/9, -2, -2\/3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -1\/6*s**3 + 0 + 0*s**2 + 36*s. Let y(q) = -3*q - 4. Calculate u(y(m)).\nAnswer: 3*m + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1982008.657 rounded to the nearest one hundred thousand?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -127361, -254751, -382169, -509615?\n\"Answer: -14*j**2 - 127348*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 16416\nAnswer: -1\/16416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13a4a + -2b94?\nAnswer: 10c96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -7. Let y(o) = -o**2 - 8*o - 6. List the prime factors of y(c).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/9, 16, 36?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1228338, 2456674, 3685010, 4913346, 6141682, 7370018?\nAnswer: 8598354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 41437968 and 65.\nAnswer: 41438033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**0)**(2\/13)\/((j**(-5)*j)\/(j**(-1\/4)\/j)) assuming j is positive.\nAnswer: j**(151\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 3:01 PM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/1020 and -53\/1014288?\nAnswer: 5071440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -6*f**2. Let q(y) = 2*y + y - 4*y. Give w(q(h)).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((s**(1\/4)\/s)\/s)\/s)**(-25)\/(s**1*s**6))**(1\/26))**(-2\/37) assuming s is positive.\nAnswer: s**(-19\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13222151 (base 6) to base 14.\nAnswer: b5b6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/56*7\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2423, 4910, 7427, 9974?\n\"Answer: 15*l**2 + 2442*l - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 2*z - 4*z)*(-9*z**3 - 6*z**3 + 6*z**3).\nAnswer: 27*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2538 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -3. Let l(s) = 3*s - 20. Let p be l(8). Which is the closest to -0.1? (a) z (b) -1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + x + 36 = 0, -52 = 4*v - 9*v - 3*x. What is the least common multiple of v and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 + -12. Let q = m - 7. Solve -f - f = q for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 977.38 to the nearest integer.\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -6. Suppose 0 = -3*n + 2*o + o + 24, 0 = n - 5*o - 4. Let m(j) = -n*j - 3 - 10*j + 16*j. What is m(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4890 = 26*l + 1588. Is 2 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 4:50 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 less than -230?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1545 divided by 5563\nAnswer: -1545\/5563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 10 = y - 13, -71 = -4*y - 5*g. Which is greater: y or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31*k**4*t**3 + 28*k**4 - 2*k**2*t**3 + 18*k**2*t - 26*t**2 wrt k.\nAnswer: -744*k*t**3 + 672*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/(-4)*(-24246)\/(-9429)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 - 32. Let y(b) = -3 - 3 + 15*b + h. What is the remainder when 43 is divided by y(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1785 + 4390. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47 - 329. Let q = n + 457. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 + 2)*(4*w - w - 2*w) + 3 - 1 + 4*w + 0 as c*w + x and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of 49 + 13*f - 4 - 12 - f**2. Let z be u(4). Solve s - z*s = -20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/10*((-3126200)\/609)\/(-220)\nAnswer: -56\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 0, -q + 4*q + 3 = b. Let w(a) = 7*a**2 + a + 1. Give w(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 3*o = 24, -3*j - o + 63 = 69 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*k + 1 + 11, 0 = 5*k. Let r be (1 - 2\/1)\/(m\/6). Let g be 1089\/9 - r*(0 + 2). Calculate the highest common factor of 13 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t - 104 = -2*t. Solve -3*b + 5 = -t*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wnbbbnbbwbwwbbbbbn. Give prob of picking 1 w and 1 n.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2246*b*q**3*x + 203*b*q**2*x + 2*b*q**2 + 35*b*q*x - 16*q**3*x - 2 wrt q?\nAnswer: -13476*b*x - 96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.16 - 0.159925. What is w rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4034 is divided by 39?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*r + 29 + 34 - 64)*(3*r + 0*r + r).\nAnswer: 76*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.22 - -0.08. Let z = 17.9 - 19. Let f = z + y. Is 2\/5 at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -12 - 3. Suppose h*b + 1 = 11. Suppose p + 12 = -b*p. Let l(m) = -m**3 - 5*m**2 - 5*m - 5. Calculate l(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -188 + 193. What is b in 2*b + 40*b**3 - 48*b**2 - 12*b**5 + r*b - 3*b + 8 + 8*b**4 = 0?\nAnswer: -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 162609097 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/((-18)\/(-104))*(-314)\/471*6\/(-4).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 15 + 50 - 1.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148350 is divided by 49433?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*o**3 - 11*o**3 - 27*o**3 + 87*o**3.\nAnswer: 28*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 3*p + 3. Let q be u(-4). Suppose -4*c + 3*b + 3 = 0, 5*c - q = 4*b - 2. Is (-877)\/(2*c\/6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -93510*i + 93494*i + 400 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 605130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 459*j**2. Let c(y) = 23*y + 12. Let s(f) = -19*f - 10. Let p(w) = -5*c(w) - 6*s(w). What is i(p(v))?\nAnswer: 459*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -2*x**3\/3 - x**2\/2 + 2*x + 5944. Let b(d) = -d - 1. What is -3*b(s) - v(s)?\nAnswer: 2*s**2 + 4*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(1584))*5 + sqrt(1584) + (1 + sqrt(1584))*-3)**2.\nAnswer: 504*sqrt(11) + 14305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2. Let o(a) = -37 + 16 + 7 - 24*a + 10. Calculate o(b(g)).\nAnswer: -48*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 20 = 0, 3*g - t - t + 14 = 0. Let w be -2*(0 + g\/2). Let l(o) = 7*o**2 - 7*o**w - 4*o**2 + 2*o**2. Let h(v) = -4*v. Give h(l(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -1, -5, -4, -2 in ascending order.\nAnswer: -5, -4, -2, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.3873546 years?\nAnswer: 4.6482552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7028740 to the power of 1\/3, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 192 + -190.71. Let a = b + -1.4. Let p = a - -0.41. What is the nearest to p in 3, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45a1b (base 14) to base 7\nAnswer: -1303534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72 - (10 + -5 + -8 + 22)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -148 + 141.9. What is i rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 248573 (base 12) in base 6?\nAnswer: 20431423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 29*o - 1. Let c(i) = 1. Suppose -111 = -19*u - 92. Determine u*d(n) + 3*c(n).\nAnswer: 29*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 4, -106, -2\/7, -0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-6)*4\/(-2). Let v = k - -7. Suppose g + 2 = -2*i, -i + 5*g + v = -5. Solve -j = -5*r - 14, 4*r + 3*j = -i*j - 15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -12040201 (base 5) in base 14?\nAnswer: -2cb0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 21*v. Let o(h) = 22*h - 3. Let j(x) = -82*x + 11. Let d(f) = -6*j(f) - 22*o(f). Calculate d(i(z)).\nAnswer: 168*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -21 + -7?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2837289155.\nAnswer: 5, 10837, 52363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4*-1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w - 2*w - 10*w**3 - 4*w - 4*w**2.\nAnswer: -10*w**3 - 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-636)\/328 + 2)*(26 + 4660\/(-100) + 23).\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + s**2 + 6*s + 1. Let m be t(3). Let f(y) = 389*y**2 + 3*y - 2. Let o be f(1). Let l be 10\/65 + (-112)\/o. Is l less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.4, -4\/5, 2\/9, -2\/11, -0.5.\nAnswer: -4\/5, -0.5, -2\/11, 2\/9, 2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-56)\/2*(0 + 2). Let h be 1\/(-2)*206\/w. Let b = -12\/7 + h. Put -5, b, 0 in descending order.\nAnswer: b, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9577283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1659492*n + 1659493*n + 26 for n.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 (base 15) in base 8?\nAnswer: -137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from kkkkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35101 + -4563191\/130. Find the common denominator of n and 25\/6.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 46 + (-2 - 2) + 2. Let g = 35 - b. Let t(y) = -y**3 - 10*y**2 - 10*y - 5. Determine t(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10809 + -2.138551093.\nAnswer: -10811.138551093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -69 (base 16) to base 12\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*p + 70756 + 142654. List the prime factors of p.\nAnswer: 2, 21341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k + 2*i - 210 = 15*k, -3*k - 14*i = 126 for k.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 231361357 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1649034?\nAnswer: 2, 3, 17, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 121 + -228. Let w = 128 + d. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**5 + 3*j**5 - 4*j**5 + (-9 + 9 + 7*j**4)*(98*j + 2 + 171*j - 48*j).\nAnswer: 1549*j**5 + 14*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -6\/11 (c) 3 (d) 0.7 (e) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 5*d - 5*d + 3*d. Let l be v(2). Suppose 2*m = l - 2. Solve 0 = -2*q - m - 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 181 or -8827?\nAnswer: -8827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 2*v + 2, -278*c = -275*c - 4*v - 32 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -21*q**3 - 15*q**2 + 2*q - 5. Let l(z) = 41*z**3 + 33*z**2 - 5*z + 11. Determine 4*l(k) + 9*v(k).\nAnswer: -25*k**3 - 3*k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2961408 to the nearest integer?\nAnswer: 1721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0904416 in -2, 5, 1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -230\/7 + 1129\/35. Which is the fourth smallest value? (a) -0.1 (b) -4 (c) w (d) 3 (e) -2\/35\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 651 divided by -151\nAnswer: -651\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 1107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*(-7)\/(-105))\/((-12)\/(-6))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2 - -4) + -1 - 3) + 4 - -6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -6*k + 2*k**2 + 0*k**2 - k**2 - 5. Let s be q(7). Suppose 2*c = 2*z, -z - 3*c + s*c = 0. Round z to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 9*g - 64 = -2*k, 2*k - 44 = -g. Calculate the remainder when 473 is divided by k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 675800.5 millilitres?\nAnswer: 675.8005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2 - 15*k - 3*k**3 + 12*k**2 - 9*k + 2*k**3. Let t be x(12). Solve 0 = -t*i + 3*i + 3*y - 18, -5*y = 3*i - 26 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of t**4\/12 + 5*t**3\/2 + 7*t**2 + 4*t - 6. Factor i(l).\nAnswer: (l + 1)*(l + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*h + 28*h = -j - 10, -3*j - 9 = 6*h for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3 + sqrt(252)*1*2 + (sqrt(252) + 2*sqrt(252))*4)**2*-1.\nAnswer: -49397 + 504*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4*p**2 + 6*p - 4. Let r be w(5). Let y = r + 86. Factor 3*l**4 - 21*l**3 + 0*l + y*l - 12*l**4.\nAnswer: -3*l*(l + 1)*(l + 2)*(3*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*v = -19*v + 24*v. Solve -2*z + 3*r - 16 = v, 0 = -2*z + 5*r - 50 + 30 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 845971.\nAnswer: 7, 17, 7109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Does 9 divide 2304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121996.\nAnswer: 2, 7, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a minute in seconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b**3 + 5*b**2 + 5*b. Let o(f) = -f**3 - f**2 - f. Suppose 0 = -a + 2 - 0. Suppose 0 = a*s + 3*s - 5. Give s*j(u) + 5*o(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 6*u**2 - u + 5. Let h be s(6). Suppose 3*g - 5 + 4 = 5*m, 5*m + 4*g = -22. Let k = m + 4. What is the nearest to h in k, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkydkykkkyd. What is prob of picking 3 y and 1 k?\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(17) - (0 + sqrt(17))) + -3 + -3)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/111629 and 17\/17143025.\nAnswer: 120001175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/7 + 1480*o**2 - 5360102*o\/7.\nAnswer: -2*o*(o - 4597)*(o - 583)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -5*g**4 + 7010*g**3 + 63360*g**2 + 190350*g + 190485 = 0?\nAnswer: -3, 1411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4985660 to the power of 1\/2, to the nearest integer?\nAnswer: 2233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3380 and 676.\nAnswer: 3380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 111001000101 (base 2) to base 11\nAnswer: 2821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*a**3*v**2*y**3 - 2*a**3*v*y**3 - 2*a**3*v - 3*a**2*y**3 + 2*a*v**2*y**3 + 6*v*y**3 wrt v.\nAnswer: 24*a**3*y**3 + 4*a*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*70)\/((-1570)\/(-314))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h. Let k(m) = -4*m - 3. Let d(y) = 5*y + 4. Let i(l) = -l**2 - 2*l - 3. Let q be i(-2). Let a(z) = q*d(z) - 4*k(z). What is a(o(f))?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -1032.8.\nAnswer: -516.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - -1 - ((-228)\/190)\/((-9)\/(-75))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 17 = 4*d, -2*d + y = -3*y - 4. What is the tens digit of (-1)\/d*-10*4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 23 + 1 - t - 1 + 2*t. Let x be n(-6). Suppose 0 = 4*q + 11 + x. Which is smaller: -23\/4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 208 = -2*x + 54, -2*h = -3*x + 394. Suppose 3*n = -109 - 161. Let c = n + x. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 16*p + 4. Suppose 3*d = 4*x + 11 - 12, d = 4*x + 5. Determine m(d).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + 29. What is the lowest common multiple of (s\/9)\/((-4)\/804*-1) and 4?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**2 + 28*z + 2. Let t be r(14). Put t, -4\/7, 1\/4, -1\/10 in decreasing order.\nAnswer: t, 1\/4, -1\/10, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 27\/(-72) + 21388107\/12 + -3. Let i = -216378541\/120 + f. Let c = 20811 + i. Calculate the common denominator of c and 61\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2959?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2895048433 to the nearest integer?\nAnswer: 1425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -13, 12, 51, 110, 195, 312, 467, 666?\n\"Answer: a**3 + a**2 + 15*a - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 133010, 133005, 133000?\n\"Answer: -5*y + 133015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10566, -10408, -10264, -10134, -10018, -9916?\nAnswer: -9828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 35, 55, 111, 221, 403?\n\"Answer: 3*z**3 - z + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 0.05, 2\/221?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2001165*h**3 + 7204184*h**2\/3 + 400229*h - 2\/3 = 0. Calculate h.\nAnswer: -1, -1\/5, 2\/1200699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 106, 893, 3036, 7213, 14102?\n\"Answer: 113*m**3 - 4*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9718 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 4*h - 1829, -z = -h + 2*z + 455. Let w be (-3)\/(-1) + -10 + h. Suppose 2*s = 3*p + 113 + 189, -3*s + 4*p + w = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a meter in centimeters?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + k + 3. Let v be i(0). Let l(a) = -a**3 - 5*a**2 + 8*a + 9. Let r be l(-6). Sort 2, v, r in ascending order.\nAnswer: r, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1077*c**2 - 41 + 1073*c**2 + 8.\nAnswer: -4*c**2 - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 5*l**2 - 1. Let u be t(-1). Suppose n - u*n - 12 = 0. Let d(i) = -1. Let r = 153 + -152. Let f(g) = 2*g**2 + g - 4. Give n*d(h) + r*f(h).\nAnswer: 2*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.47 + -0.03. Let r = 23 + -22. Which is the closest to t? (a) r (b) 4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-1)\/3 - 115\/(-138))\/((-43)\/(-72154)) is divided by 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*a + 8 = 29*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14414 (base 8) to base 10.\nAnswer: 6412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 21 = 4*o, -5*i + 11 + 4 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 348, 182, 30, -114, -256?\n\"Answer: -a**3 + 13*a**2 - 198*a + 534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 3)\/(-1) + 44. Suppose -5*h = -4*i + 82, 3*i + 5*h = 5*i - 46. Calculate the highest common divisor of d and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-4))\/(4\/96). Suppose p = -i + 5*j, 3*i - j = 5*i - 9. Find the second derivative of i*r**3 - 5*r + 8*r + r**4 - 3*r**3 wrt r.\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8 - 2\/((-1)\/3 - -1). Solve o*t + 7 = -4*i, i = 2*i - t - 5 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -0.01021 (c) 15 (d) 1\/7 (e) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4 = -2*a, 3*t = -4*a + 4*t + 12. Solve -2*q + 2*n = -4, -4*q + a*n = -n - 7 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**2 - 1. Let s(m) = 7*m**2 + m - 10. Let g(w) = -2*q(w) + s(w). What is g(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1125*s**5 + 4350*s**4 + 1720*s**3 - 4330*s**2 - 595*s - 20 = 0 for s.\nAnswer: -1, -1\/15, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-0.0671.\nAnswer: -0.02684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2. Let q(h) be the second derivative of 0*h**3 + 0 - 1\/2*h**2 - 2*h - 1\/12*h**4. Let a(p) be the first derivative of q(p). Determine a(n(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 4*z - 30, z = n - 0*z. Suppose 2*o = -3*u + u + 28, n*u - 3*o = 102. Calculate the highest common divisor of u and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4384 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1526521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/82441 in -23, 0.2, 0.5, -1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 69670 = -2*x - 3*x, 0 = -x - 4*g + 13949. Let k = -22867 + x. Round k to the nearest 100.\nAnswer: -8900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*y + 763 - 763 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2440 (base 7) to base 9\nAnswer: -1221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.245748 and -0.32?\nAnswer: 0.07863936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -5*z + 4*z**2 - 5*z**2 - 2 + z. Let t be o(-3). Let w be ((-16)\/(-12))\/(2\/12). What is the highest common divisor of w and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + 1 + -3 + -1.\nAnswer: -3 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 111664952?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 132 and 819126.\nAnswer: 1638252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 1444100?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8251542 divided by 317367.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -4*q**2 - 100*q - 336 = 0.\nAnswer: -21, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 4*x. Let r be m(-3). Let v(o) = -o + 2. Let p be v(r). Let c = 4 + -4. Solve c*q = -5*q + p for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/52)\/(x**(-6)*x)*x*x*x*((x**(-2\/31)*x*x)\/x*x)\/x*(x\/x**(-18\/5))\/x assuming x is positive.\nAnswer: x**(101191\/8060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5008268 is divided by 1810.\nAnswer: 1808","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1934 - 1934.5. What is the fifth smallest value in 8, -0.2, 1.4, k, 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 966817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -34*g. Let a(i) = -135*i. Let z(b) = -5*a(b) + 21*v(b). Let f(t) = -60*t + 14. Let x(p) = -26*p + 6. Let m(y) = 3*f(y) - 7*x(y). Calculate m(z(c)).\nAnswer: -78*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -1 + 1\/30*i**6 - 1\/12*i**4 + 0*i**3 + 0*i**5 + 0*i**2 + i. Let j(s) be the first derivative of x(s). Factor j(a).\nAnswer: a**2*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-54)\/12)\/((-2)\/4). What is the highest common factor of 72 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.4 (b) 1\/34 (c) -0.2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 9*h - 4. Let m(l) be the second derivative of l**5\/20 - l**4\/2 + l**3\/6 + 17*l**2\/2 + l. Let f be m(6). Let w = f - 32. Calculate n(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -3, 0.1, -2996, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 6*k. Let w be q(5). Let n = -1.2 + 0.7. Which is the third smallest value? (a) n (b) 2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -255069 or -2295628\/9?\nAnswer: -255069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 30*m = -7290 + 2242 + 3233 for m.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - -1)*3\/(-2). Let j = 0 - q. Put -2, 2, j in descending order.\nAnswer: j, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 939791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of -6*s**3 + 13*s**2\/2 + 5284*s. Determine p(1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and -72312.\nAnswer: -72312.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6230176295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -5, 2.3, 86\/77?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16305 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 + -100?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 21*z - 1. Let t(r) = -9*r. Let m(g) = -13*g. Let w(x) = 4*m(x) - 5*t(x). What is w(f(y))?\nAnswer: -147*y + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 197b?\nAnswer: -1982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 7:10 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 9, -8, 2, 1, -48 in descending order.\nAnswer: 9, 3, 2, 1, -8, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 539?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1466604 and -0.5.\nAnswer: 733302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17145*a**2 + 1051*a wrt a.\nAnswer: 34290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**4 - 4081290*f**3 - 8162560*f**2 = 0 for f.\nAnswer: -816256, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 2:06 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.1, -29, 31?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 - -35. Let q be y\/48*3*-4. Is (((-8)\/2)\/8)\/(q\/(-3418)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145344.\nAnswer: 2, 3, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -197, -1, -0.3, 4, 7, -3, 84?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -186.2 - -187.3. Let q = 18 - 23. Sort t, q, -0.1.\nAnswer: q, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b. Let s(p) be the third derivative of -p**4\/12 + 38*p**2. Calculate r(s(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 387.5912\nAnswer: -775.1824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/6)*g)**20\/(g\/(g\/(g\/(g\/(g**3*g)))))**(-1\/10))**(-22) assuming g is positive.\nAnswer: g**(-7832\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11422*s + 2130030 = 13473*s - 10539*s + 5930*s for s.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1978803 not equal to 1978804?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1039, 4612, 10715, 19348, 30511, 44204?\nAnswer: 60427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j - 4*j**2 + 3*j**2 + 10*j**2. Let k = 0 + -2. List the prime factors of q(k).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f**2 + 12*f - 699. What are the prime factors of j(41)?\nAnswer: 2, 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/159, 0.1, -1 in increasing order.\nAnswer: -1, 4\/159, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 186085\/(-33684) + 3\/(-9). Let j = 1\/1604 + m. What is the common denominator of 9 - (0 - 2)\/(-2) and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2025 - -2028. Solve -3*c - 4*b - 15 = -12, 0 = -3*c - 3*b - s for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 6 - 7*v**4 + (17*v**3 - 11*v**2 + 11*v**2)*(3*v - 3*v + 4*v) in the form h + f*v + n*v**3 + c*v**4 + l*v**2 and give c.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -9330*s - 65330. Calculate f(-7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + 105. Let f be 0*((-60)\/(-165) + 1\/(-33)). What is the closest to f in c, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**4 + z**4 + 3*z**4 + (-224*z**2 - 364*z + 364*z)*(z**2 - 2*z**2 - z**2) in the form b*z**3 + d + w*z + a*z**2 + h*z**4 and give h.\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - (-10)\/3)*3. Let l = k - 7. Let j(y) = y**3 + y + 4. Give j(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 11970\/(-84)*(-102)\/(-153)\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**3 - 3*l**2 + 2*l - 2. Let p be v(2). Let g = 4 - -4. Calculate the smallest common multiple of (2\/p)\/((-3)\/(-27)) and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/6 - 41263*d**2\/6 + 185720*d\/3 - 165088\/3.\nAnswer: -(d - 8)*(d - 1)*(d + 41272)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of p**8\/840 - p**3\/3 - 1. Let n(x) be the third derivative of d(x). Find t such that n(t) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/10 - (-108)\/60. Suppose -5*v + y = 4*x, -v - x - 3 + 4 = 0. Let a(t) = 2*t - 6. Let o(b) = -b + 5. What is v*a(k) - 4*o(k)?\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5*y - 32 = 3*g, -3*y = 6. Let i = g - -33. Solve 2*w + i = 6*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18581\/30960 - -1\/6192. Sort -3\/17, i, -10\/3 in decreasing order.\nAnswer: -3\/17, i, -10\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(91) + sqrt(91)*4*2)\/sqrt(7) + (sqrt(78) + (sqrt(78) + 2*sqrt(78) + sqrt(78))*-4)\/(sqrt(6) - sqrt(96)\/sqrt(4)))**2.\nAnswer: 61893","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v**2 + 7*v - 7. Let h be -3*(-1)\/3*-14. Let t = h - -8. Is y(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -f**4\/12 - 5*f**3\/9 + f**2\/6 + 5*f\/3 + 109. Find k such that g(k) = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50826 + 152438 - 50808 - 50804 + 57*b.\nAnswer: 57*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -s**7\/735 + 103*s**6\/420 + 53*s**5\/35 - 75*s**2 + 11. Suppose c(o) = 0. Calculate o.\nAnswer: -3, 0, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*w + 701966, -5*w - 3*l + 750063 = -127384. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6808500 by 340425.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-2092)\/(-7845)*50\/(-24)\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 h, and 2 o when four letters picked without replacement from {l: 3, o: 4, h: 1, s: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -4, -19, -38?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 + -18. Let l = -202 + 219. Calculate the remainder when l is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + sqrt(20) + (4*sqrt(140))\/sqrt(7) + sqrt(20) + sqrt(20) + (sqrt(20) - sqrt(180)\/(1*sqrt(9))))\/(sqrt(16)*-3 + sqrt(16)\/sqrt(16) + sqrt(4)).\nAnswer: -16*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddp when three letters picked without replacement from sppspdpppdpp?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/72 + 635\/4. Let m = -80 - -48. Let l = s + m. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 35\/11 - 4\/22. Let g be h + (-3)\/3 - -17. Suppose 3*k - 17 = g. Is k a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 63263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -74804138?\nAnswer: -74804137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -66 - -71. Let h(s) = -i*s + 22*s - 14*s. Let k(n) = -6*n**2. Give k(h(r)).\nAnswer: -54*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100 - 106 - 159*t**3 + 206 + 160*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*o + 3*j, -2*j - 7 = -3*o + 2*j. Let f(x) be the third derivative of 1\/60*x**5 + 0*x + 0 + 0*x**3 + 1\/4*x**4 + 2*x**2. What is f(o)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9641 + 2100 = 937*l + 5490 + 6646 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 17310 = -7*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10647 + 10803 = -26*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-10031.\nAnswer: 1003.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -130dc (base 15) in base 12?\nAnswer: -2b339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1208 at most as big as -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 107 - 338 = 0. Let i = 112995\/7 + -16065. Let p = i - r. Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 12:32 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6734309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/3 or 5801723?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -6*o + 3. What is r(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -43*z**2 - z - 1. Let g be c(1). List the prime factors of 3108\/(-9)*(g\/(-10))\/(-3).\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 greater than or equal to 170.45397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) + (sqrt(55) + -1*sqrt(1375) + sqrt(1375) - sqrt(55)))\/(-2*sqrt(720)).\nAnswer: -sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3980 + -3967. What is the highest common divisor of 9165 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**3 + 152*y**2 + 5925*y + 11250 = 0.\nAnswer: -75, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2261 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 3*n - 9 = 0. Which is bigger: 6 or n?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2681 - -2688. Calculate the lowest common multiple of y and 163.\nAnswer: 1141","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 457 is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1612 - 14506\/9. Determine l, given that -2\/3*l**3 + 2\/9 - v*l**2 + 2\/3*l = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2136 = -2*j + 6*j. Let w = -372 + j. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*y**4\/7 - 456*y**3\/7 + 25317*y**2\/7 + 12741*y\/7 + 228 = 0.\nAnswer: -28, -1\/4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -624, -608, -592, -576, -560, -544?\n\"Answer: 16*o - 640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -530 + 527.71. Let k = f + 2.59. Which is the third smallest value? (a) 0.5 (b) -2\/23 (c) 2 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25974 = -4*w - 2*w. Suppose -7*j = 1501 - w. Suppose 1671 - j = 7*r. What are the prime factors of r?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a micrometer in nanometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*c - 100*c - 90*c.\nAnswer: -141*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 10*h - 6. Let i be k(-9). Suppose 3*x = 2*z + 4*x - 12, -18 = -i*z + 3*x. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -161 + 7. Let t be v\/(-6) - 1\/(-3). Suppose -t*p - 140 = -31*p. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27.9 - 28. What is the nearest to 0 in 1\/4, -5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41555350 and 9270.\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 161 = -0*x - x, -5*x = 5*y + 205. Let b be (-20)\/y + (-3220001)\/2. What is b rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113536 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: What is the remainder when 1459 is divided by 67?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -13*h + 10*h + 16, 0 = 2*h - g - 6. Let u(w) = 1003*w - 2*w**2 + w**2 - 505*w + h - 489*w. Determine u(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 0*d**2 + 3*d**2 - 5*d**2. Let c(p) = p + 1. Let q(b) = 2*b**2 - 6*b - 6. Let m(n) = 6*c(n) + q(n). Determine m(x(a)).\nAnswer: 8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 74555273557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 5*s - 2*s + 0 - 1 as g + h*s and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4539821609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 + -15.5. Let u = i + 1.5. What is the second biggest value in -5, -0.4, u?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418823631?\nAnswer: 3, 19, 641, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3707, 0.4, 1\/8?\nAnswer: 3707","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -1303333?\nAnswer: 1303331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.285679 micrometers to meters.\nAnswer: 0.000001285679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 12:16 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a kilometer in centimeters?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 10. Suppose o - g*u + 4*u = 5, 3*u = -4*o - 1. Let n(r) = r**2 + r + 1. Let f be n(2). Solve 0 = -t - f + o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 66489894.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/7 + (-30)\/7 + 4. Suppose -44*v + 49*v = c. What is the units digit of (-1)\/(-1 - v) + 173?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + 15 + -14 + 0 + -2?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/628905 or 0?\nAnswer: -4\/628905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1ec7 (base 15) to base 10.\nAnswer: -6712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 369645109 to the power of 1\/5, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 535 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 175571 a multiple of 302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -670 by -1.\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n + 0*n + 2*n)*(-33 + 63 - 32 + 37*n**2) to the form m*n + k + w*n**2 + u*n**3 and give u.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + (8 + -1)\/(-32 - -29). Sort m, -4, -35.\nAnswer: -35, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2 - i - 3*i + 2*i. Let x(a) = -2*a**2 + 10*a. Let u(f) = 3*f**2 - 14*f. Suppose 55*z - 45*z = -70. Let k(w) = z*x(w) - 5*u(w). What is m(k(b))?\nAnswer: 2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((-12008)\/(-7315) - (-96)\/(-132)).\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -m**4\/4 + 4*m**3\/3 - 3*m**2\/2 + 2*m + 2. Let z be s(2). Let w(n) = -3 - 3*n - 2*n**2 + 2 - 3*n**2 + 6*n**2. Calculate w(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/6 - (-4 - (-60)\/18). Let f be (-2)\/4*(2 + -2). Are f and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 7*a - 12. Let t(i) = 21*i - 202. Let l be t(9). Determine z(l).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -204\/13 (b) 14733 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -47*z. Suppose -24 = -2*t - 6*t. Let a(b) = -19 + 13 + 6 + t*b**2. Determine a(x(d)).\nAnswer: 6627*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 2\/9, -0.2, 0.4, 4973, 1, 1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0423858 rounded to 4 dps?\nAnswer: -0.0424","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0.1. Let r = 285260 - 285259.97. What is the nearest to 1 in r, q, -0.06, -1\/6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 0*r + 4 + 2*r)*(1 - 1 - 2*r).\nAnswer: -2*r**2 - 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -302\nAnswer: 1\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven halves of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 29*f**2 + 31*f - 87. Let q be w(28). Which is the third biggest value? (a) 1\/3 (b) -11 (c) q (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/462*((-6550)\/920 - -7).\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85674206?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20*(6\/(-48))\/(35\/20).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 956385*-0.8.\nAnswer: -765108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11072?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2110 (base 3) to base 11.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-340)\/8400*-18 - 2\/(-28))\/(-6). Which is the second biggest value? (a) 1 (b) -12 (c) k (d) -91\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*l + 20. Let q(g) = 2*g**2 + 8*g - 10. Let f be q(l). Find the common denominator of 31\/10 and (-1)\/(-2) - f\/(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 3 = -5*x. Let w(q) = -q**3 + 4*q**2 + q. Calculate the remainder when w(x) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 12. Let v = c - -9. Suppose 3*y = v + 16. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1 - 3 + 2 + 3 + (1 - 1 - 1)*(1 + 1 + 0) + 3 - 3 + 2 + 0 - 1 + 2 + 1 + 1 + 0 - 3 + 1 + 0)*(1 - 1 + 2)*(-3*p**5 + 6*p**5 - 4*p**5).\nAnswer: -4*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 863344.2s in minutes?\nAnswer: 14389.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 9, -3*z + 12*r + 3 = 17*r for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4 = -2. Let m = -6722 - -6727. Find the third derivative of 14*v**2 - 15*v**m - 17 + o + 16 wrt v.\nAnswer: -900*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-2\/87)\/z))**(-4)\/(z\/(z**(1\/14)*z))**(-32) assuming z is positive.\nAnswer: z**(-6320\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 28030.\nAnswer: 56060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1438 and -607.\nAnswer: -87.2866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 9. Let w(g) = 6*g**2 + 2*g + 4 + 2*g**2 - 2. Let l(p) = p**2. Let s be 4\/6*-18 - (3 - 16). Calculate s*w(k) + v*l(k).\nAnswer: 2*k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 62399, 62404, 62419, 62450, 62503, 62584, 62699, 62854?\n\"Answer: u**3 - u**2 + u + 62398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 268033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.15441 - -1.15441. Which is the smallest value? (a) -12 (b) p (c) -1 (d) -0.027 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 436043\/16 - 27249. Let f be ((-234)\/8)\/((-1)\/4). What is the common denominator of b and f\/14 + (-1 - 0)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 3:38 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -7. Suppose -4*i - 39 - 51 = -k*u, u + i - 30 = 0. What is the common denominator of (-70)\/4*(-3)\/u and -57\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and 32232.\nAnswer: -193392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**2\/2 + 81\/2 = 0. Calculate u.\nAnswer: -9, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 + 0. Let y be 114\/21 + (-4)\/(-7) - 4. Which is the nearest to 1\/4? (a) y (b) 4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14954575 and 7975.\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13269 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -640 + 592.9. Let w = -46.1 - d. Which is the third smallest value? (a) w (b) -1 (c) -1\/224\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 + 31. Suppose 0 = m*a - g - 198, 0*a + 3*a + 2*g = 207. Calculate the remainder when a is divided by 2 - 3*4*-1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 55, -1\/9, -1\/4, 5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 2*i - 4, 4*i + 20 = -2*j - 2. Let v be 6 - (j + 7) - 5. Let k(f) = -5099999*f + 3. Let o be k(v). Round o to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 1113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x - 830 + 870 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8870933.7ms?\nAnswer: 2.46414825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 679 and 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -781 + 786. Solve a*z + 14 = 34 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2915025914 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b + 7. Let s be j(9). Let w be (-23 + s)\/(7\/(-14)). Suppose h + 18 = w. What is the remainder when 125 is divided by h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75, 82, 93, 108, 127, 150, 177?\nAnswer: 208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -2\/7 (b) 353\/4 (c) -417 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2542428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/4)\/(133\/532).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of 0*b**2 - 80*b - 41\/20*b**5 - 1\/12*b**4 - 10\/3*b**3 + 0. What is the third derivative of j(d) wrt d?\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1130814459?\nAnswer: 3, 359, 116663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6612133?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-91)\/(-42) + 1\/(-6). Let r be ((-344)\/(-20) - 2)\/(l\/5). Let u = 160 - r. Does 23 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/337, 4, -1\/4, -2, 53.3?\nAnswer: 1\/337","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -15*a**2 + 3*a - 1. Let t(f) = 5*f**2 - f. Let d(u) = -4*j(u) - 11*t(u). Let q be d(4). What is the tens digit of q\/4 - (1 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88, -101, -126, -169, -236, -333, -466, -641?\nAnswer: -864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3274*i - 5505*i - 266985 - 250976 = 0 for i.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/6)\/(2\/32). Suppose -d*c + 48 = -7*c. Let z = 161 - c. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 960 times 675.1?\nAnswer: 648096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*210\/(-200))\/((-3)\/(-24)*-3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -502, -8, 1, -36?\nAnswer: -502","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16650 divided by 75.\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 34313551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11.2 - -1.2. Let r = z + 13. What is the smallest value in r, 2\/7, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t + 710002. Let m(d) = 165462 + 3*d - 9*d + 3384549. Let w(u) = 11*l(u) - 2*m(u). Let c be w(0). What is c rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -54*((-935)\/(-85) - 1\/(4\/56)). Let w(s) = 9*s**2 + 8*s - 6. Let m be w(-6). Calculate the greatest common divisor of m and r.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**3 - q**3 - q**3 + (6714 + 1273*q**2 - 6714)*(0*q + 0*q + 2*q).\nAnswer: 2547*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 4:28 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1277 - 703. Suppose -f = 2*s - v - 546, -5555 = -5*f - s. Calculate the highest common factor of f and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -99 + 105. Let m be (f + (-88)\/12)*(-6)\/(-4). Let d = 112 + m. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -16. Solve 0 = 2*h + 3*u - 16, m = -5*u + 12 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 0 - 17 = 4*o, 5*r = 4*o + 15. Which is smaller: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 5941062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j - 8. Let x be t(4). Put -3, x, -1 in descending order.\nAnswer: x, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 65*l**3 + 314*l**2 - 1235*l + 15. What is u(4)?\nAnswer: 4259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**3\/2 - 3314875*w**2\/2 + 6629758*w = 0. Calculate w.\nAnswer: -3314879, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 228, 878, 1952, 3444, 5348, 7658, 10368?\n\"Answer: -z**3 + 218*z**2 + 3*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45891.\nAnswer: 3, 5099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 1 + 7 + 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -129 - -678. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11222365 to the nearest integer?\nAnswer: 3350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1448 in 5, -4, -1\/4, -337?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - ((-8)\/(-5) + (-6)\/(-15)). Solve f = -4*r + 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*a**6 - 13014*a**4 + 2*a**3 + 83311*a**2.\nAnswer: 360*a**3 - 312336*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6761148 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1400 and 300.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 13*i**2 + 2*i - 6. Let c be w(13). Suppose -c*x = 2*x - 66. What is the highest common divisor of x and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -691*w**4 + 1186*w**2 - 1683*w**2 - 533*w**2 wrt w.\nAnswer: -16584*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*k - 38*k = -19*k - 1656 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-312)\/222*(-61383)\/3318?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/3 + 4927*v**2\/3 + 3736*v\/3 - 1953980.\nAnswer: (v - 34)*(v + 35)*(v + 4926)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*m + 0*m + 3*m)*(96 - 40 + 72) as o*m + p and give o.\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2546173297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = s - 12. Suppose 2*g - 10 = -2. Suppose g*a = 28 + 8. What is the highest common divisor of s and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 309*f - 11340 = -297*f + 201*f for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (253 - -3 - 8) + 1 and 15?\nAnswer: 1245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13980 divided by -466?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -84440 by -8.\nAnswer: 10555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/11, 22, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m**3\/5 - 52*m**2 - 16*m\/5 + 208 = 0 for m.\nAnswer: -2, 2, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4 = -0*n. Let q = -4 + n. Let c(t) = -15*t - 76. Let f be c(-5). Put f, q, -4 in descending order.\nAnswer: f, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-14) + 69\/21. Suppose 0 = -b - 4 - s. Let v be b*(-1 - (-5)\/(-7)). Solve -3*h - 3*r + v = 0, -r + 1 = h + 3*r for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 bigger than 118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*a + 462*a - 593*a - a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*m - 55 = 26*m + 5*u, 3*u = -13*m - 3114 + 3081 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23 or 17?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 118997.\nAnswer: 237994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -38 (b) -0.2 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -23*n**3 + 27\/2*n**4 - 12*n - 36*n**2 + 24. Factor z(g).\nAnswer: 3*(g - 2)*(2*g + 1)*(9*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 20*u**2 + u - 2. Calculate the remainder when g(-2) is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19768 times -11?\nAnswer: -217448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64 + 10*p + 6*p - 3*p + p**2 to the form d*p**2 + x*p + s and give s.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 104 + -42. Let l = n + 65. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22029 = 3*z - 4*p + 7*p, 3*z - 3*p = 22005. Calculate the highest common divisor of 123 and z.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -152263, -152259, -152255, -152251, -152247, -152243?\n\"Answer: 4*v - 152267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 1:56 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 281, 262, 209, 104, -71, -334?\n\"Answer: -3*u**3 + u**2 - u + 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.6 + 1. Let j = v + -0.3. Let k = j - 0.09968. What is k rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -6*n - 110. Let k = n + -107. What is the remainder when 18 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) -0.012 (c) 4 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13829216?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 27 = -5. Let r = p - -32. What is the lowest common multiple of r and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 57.5 + -63. Let r = t + 5.5. Which is the biggest value? (a) -5 (b) r (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z = 55*z + 246 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 93957151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/(h\/h**(-2)))\/(h\/(h*(h**(-1\/7)*h*h)\/h*h*h)))**(-18))**(-13))**(-15\/4) assuming h is positive.\nAnswer: h**(-5265\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1538303 and 5.\nAnswer: -7691515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 62135 and 161551.\nAnswer: 807755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -1 - 8 + 8 + 3*c**2. Calculate q(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 13) to base 5.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 107*b**2*h**2 - 3*b**2*h + 34*b*h**5 + 10*b*h - 44*h**3 - 5*h - 1085 wrt h.\nAnswer: 214*b**2 + 680*b*h**3 - 264*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 22*x**2 - 33*x + 212. Determine u(23).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*1 + sqrt(66))\/sqrt(11))\/sqrt(2).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3759 by 151162.\nAnswer: 3759\/151162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 394*d + 271. Let i be b(-49). Let g = -880989897\/20 + 44068524. Let a = g + i. Calculate the common denominator of a and -47\/11.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -5. Solve 0 = -4*k + 3*f - 2*f - x, 4 = -4*k - 4*f for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1540 = -123*y - 542 + 1462 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 5*m + 37 = 0, 3*k - 2*m + 19 = -4*m. Let d(f) = 2*f + 1. Let n(b) = 1288 + 1237 + b - 2522 + 3*b. What is k*n(x) + 7*d(x)?\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**1)\/(v**(-9)*v*v))\/(v\/v**(-2\/3))**(14\/3)*(v**0)**(6\/29)*(v**(-1))**(-49) assuming v is positive.\nAnswer: v**(434\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 441 and 231?\nAnswer: 4851","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5096 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + y + (-3 + 4 - 3)*(-4*y + 2*y + y) - y + 0*y + 0*y)*(-y - 3 + 3) - 3 + 3 - y**2 to the form s*y + b*y**2 + h and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*h - h + 21*h - 20*h + 12*h + 1.\nAnswer: 24*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1411 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 781392527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.9 - 0.1. Let z = -5 - p. Suppose 7 = 4*w - 5. Sort w, 2\/5, z in ascending order.\nAnswer: 2\/5, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y**2 + 2*y + 2. Let n = -3 - -1. Let l(t) = t + 1. Let w(a) = n*l(a) + f(a). Let g(k) = -k - k + k + 0. Determine g(w(x)).\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4231.316 centuries in decades?\nAnswer: 42313.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57 - -119\/2. Let k = q - 21\/8. What is the common denominator of (235\/30)\/((-7)\/(-3) - 1) and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - -31241.28524.\nAnswer: 31241.08524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*g + 37305 = 37845. Solve -4*k = 5*d + 28, -3*k - g = d - 17 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 86\/8943033 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y + 0*y - y)*(5 - 3 + 0) + 9*y - 2 - 1 - 8*y + 19*y + 24*y - 51*y to m + d*y and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -3 - 4 - (-6652 - -6762)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27056580377\/6160 - 4392302. What is the common denominator of p and 1\/672?\nAnswer: 36960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 713 + -502 + (-1 - (-18)\/(-3)). Solve 3*t - b = 6, 205*b = w*b for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 938722 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3, 2, -4 in increasing order.\nAnswer: -4, -3, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 36004 = -3*v + 4*j, -5*v + 5*j = -36000. What are the prime factors of v?\nAnswer: 2, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 22 = -m. What is the greatest common factor of m and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1184371 + 1184371 + 897*s**2 - 3*s**4 - s**4 + 1 - 1 + (4*s**2 + 0*s**2 - 2*s**2)*(s**2 + 0*s**2 + 0*s**2).\nAnswer: -2*s**4 + 897*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 1513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -14*k**3 - 8*k**2 + 11*k + 8. Let w(v) = -5*v**3 + 3 - 3*v**2 + 4*v + 2*v**2 - 2*v**2 + 0*v**2. What is -3*p(z) + 8*w(z)?\nAnswer: 2*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 553d (base 15) to base 2.\nAnswer: 100011010001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 36*h**3*r - 1423*h**3 + 2*h - r wrt r?\nAnswer: 36*h**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/4)\/l*l)**(-40)\/(l**(-1\/3))**(1\/3))**3 assuming l is positive.\nAnswer: l**(-89\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66\/(-3) + (33616 - -125)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2615295497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 7*x - 366 = 0. List the prime factors of x.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18152)\/(-2786332) - 5494\/(-4912)?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s + 4*s - s)*(2*s**2 + 6*s**3 - 3*s**3 + s**2).\nAnswer: -9*s**4 - 9*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*a + 28*a - 128. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(672) + -2*sqrt(672)) + (sqrt(672) - (1*sqrt(672) - sqrt(672)) - sqrt(672))*-5)\/(sqrt(60)\/(sqrt(60)\/sqrt(6)) - sqrt(54)*1))**2.\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 - ((-8 - -14) + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiiif. Give prob of sequence ii.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w - 7. Let u(f) = -12*f + 10. Let l(n) = 3*p(n) + u(n). Calculate l(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-190)\/(-8))\/((-4)\/(-16)). Suppose 2*m + 5*z = b + 30, -4 = -4*z. What is the greatest common divisor of 12 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 + 2365*c - 64870.\nAnswer: 5*(c - 26)*(c + 499)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, g: 1, a: 3}. Give prob of sequence nag.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 210082020?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 5:38 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1159411206?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0188 + -0.9012. What is the smallest value in 5, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -50821*l**4 - l**3 + 19531 wrt l?\nAnswer: -203284*l**3 - 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3649916 and 94070.\nAnswer: 18249580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 147 and 150278639?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 160.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 53489094, 53489092, 53489088, 53489082, 53489074, 53489064?\n\"Answer: -c**2 + c + 53489094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 199286 - 55947. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -4\/3, -19\/3, -10, -1\/4, -134, -4\/7?\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3958*m**5 - 2*m**4 - 1383798*m**2?\nAnswer: 237480*m**2 - 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14846140457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2975436?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) -35 (c) -0.15 (d) 2\/3 (e) 2\/15 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -1\/9 (b) 5 (c) 44 (d) 1\/3 (e) 1.7 (f) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9, -124, 0.2, -484?\nAnswer: -484","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - -2. Let h = -17 + z. Suppose 0 = -5*x - 5*o + 4 + 36, -o = 3*x - 16. What is the nearest to x in 0.1, h, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11 from -24.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 27210 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 7*s**3 + s + 2. Suppose -2*u = 1775 - 1757. Let i(x) = 29*x**3 + 4*x + 9. Give u*n(d) + 2*i(d).\nAnswer: -5*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/7 - 270*n\/7 - 18225\/7.\nAnswer: -(n + 135)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(600)*-3)\/sqrt(3).\nAnswer: -30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 182 times -10\nAnswer: -1820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25698936?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and (-2)\/13 - (7470\/(-78))\/5.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-200)*(-2)\/((-2)\/(-1)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -337, -306, -251, -172, -69, 58?\n\"Answer: 12*s**2 - 5*s - 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((((sqrt(200) - (5 + (sqrt(200) - (sqrt(200) + 0)))) + 5)**2 - (sqrt(162)*-1 - sqrt(162))\/(sqrt(99)\/(2*sqrt(11) - sqrt(11)))) + 4).\nAnswer: -408 - 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -127693990 and 82?\nAnswer: 127694072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttt. What is prob of sequence ttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k**3 - 25*k + 25*k + (-2*k + 0*k + k)*(-2*k - 2*k**2 + 2*k) - 2*k**2 + 2*k**2 + k**3 in the form f + t*k**2 + y*k + x*k**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1653003 and 177?\nAnswer: 1653003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 0)*(11 + -5). Let a(s) = 24*s - 6. Let t(d) be the second derivative of -5*d**3\/6 + d**2\/2 - 4*d. Let l(g) = 6*a(g) + 28*t(g). What is l(b)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454.2236588 rounded to the nearest 10?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6492249 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1678*n = -16054 - 14150 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1258 or 1057988\/841?\nAnswer: 1258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.378 + -0.022. Let s = 31 + -31.04. What is the fourth biggest value in c, 0.5, s, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*i - 9*i + 179 = -64 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-2)*u**(-3\/10))\/((u*u**(-8))\/u**(-34)) assuming u is positive.\nAnswer: u**(-283\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-156)*21*100\/(-350)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -80271167*p**4 - p**2 + 5554304*p + 6 wrt p?\nAnswer: -1926508008*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + l + 20. Let t be v(0). Let q = -7 + 12. Solve -q*n = -t, -2*c - n - 12 = -6*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 0 (c) -252494\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -17039, -17038, -17037, -17036, -17035, -17034?\n\"Answer: f - 17040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11112011 (base 3) in base 10?\nAnswer: 3298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n + 5*g - 39, -n - g + 808 = 800 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 4*j - 103920 + 6033, -2*j + 48947 = 5*v. Suppose 31*z = 40*z - j. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 33082746 and 35.2537?\nAnswer: 33082710.7463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2 + sqrt(52) + -3 + sqrt(2548) + -3 + sqrt(2548) + 0)**2.\nAnswer: -240*sqrt(13) + 11716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 12467, 4 in ascending order.\nAnswer: 4, 10, 12467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15a99 (base 14) to base 15.\nAnswer: 11106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 10 + -9 - 3. Solve 8 = 4*j, 2*j - 24 = 4*v - n*j for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.106718 + -2183.\nAnswer: -2183.106718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -4)\/((-8)\/(-8)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -214 - -820. Suppose -j = -3*u - 588. Let b be (-90)\/(-8) + 15\/20. Solve -3*i + u*i - b = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 698512402 to the power of 1\/3, to the nearest integer?\nAnswer: 887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -95*g**2 + 91*g**2 - 4 - 7 - 6 in the form q*g**2 + c + a*g and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 169, 383, 689, 1093, 1601?\nAnswer: 2219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.272 - 0.15?\nAnswer: -2.422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k + 3*k - 5*k + k**3 in the form j*k**3 + v*k**2 + t*k + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of 0*v + 0 - 1\/60*v**6 - 3*v**2 + 0*v**3 + 1\/20*v**5 + 0*v**4. Find the third derivative of b(d) wrt d.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 93\/130 + -3\/26. Let d(b) = -2*b**3 + 3*b**2 + 81*b + 78. Let q be d(-1). Suppose -r*j**q - 6\/5*j + 9\/5 = 0. What is j?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-1*(1 + sqrt(637)) - (sqrt(104)\/sqrt(512) + -2 + -4*sqrt(13)))*-1)**2.\nAnswer: 995*sqrt(13)\/4 + 516413\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 154 + -55. Suppose -4*q + b - 239 = 4*y, 4*y - 5*q + 140 = 0. Let z = 77 + y. What is the remainder when z is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 374*-4749.\nAnswer: -1776126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 147 and 2610?\nAnswer: 127890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (583 + 346 + 239 - 108)*(20*l - 7*l**2 - 20*l)*(4*l - 2*l - 4*l).\nAnswer: 14840*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -14*m - 1. Let k be c(-6). Suppose 0*t + t - k = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + w = 68, -h - w + 19 = -13. Let n(t) be the first derivative of t**2\/2 + 8*t + 15. What is the remainder when h is divided by n(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 60*g**2*w**2 + 244312*g**2 - 8*g*w**2 + 3*w**4 with respect to w.\nAnswer: 120*g**2*w - 16*g*w + 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 + 0 + -4 + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7682940 divided by 2560980\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 19*n + 26. Let s be v(20). Let k be (2 - 40\/s)*18\/(-12). Solve 3*c = g - 0*g - k, 2*c + 14 = -4*g for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1204.5 times -2\nAnswer: -2409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 2*j + 3. Let v be z(-3). Let s = -60 + 90. Suppose 3*c = 3*p - s, v = 4*p + 2*c - 7 - 9. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 15, 3*w - 27 = 3*t + 6*w for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of l**4\/4 + l**3\/3 - l**2 - 10*l - 4. Let a be v(0). What is a rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -37 + 37 + 10*a + (a + 0 + 0)*(2 + 0 - 4) - 26 + 26 - 12*a + (-4*a + 3*a - a)*(5 - 1 - 3).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -h + 13. Suppose m - 4*i - i - 77 = 0, h*m = -2*i + 106. Calculate the smallest common multiple of m and 15.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, -7\/3, 328 in decreasing order.\nAnswer: 328, -0.9, -7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, e: 2}. What is prob of sequence eepp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l**3 - 12*l**2 - 5*l - 10. Let f(v) = v**2 + v + 1. Let i(n) = 5*f(n) + u(n). Let r(j) = j**3 - 3*j**2 - 2. Determine 3*i(w) - 7*r(w).\nAnswer: 2*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21893041*c**2 - 108459220*c + 134328100.\nAnswer: (4679*c - 11590)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 8?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14.8 + -48.2. Let l = 76.868 - 77.868. Is x < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jyjfappa. What is prob of picking 1 p and 1 j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 r when four letters picked without replacement from {r: 3, x: 2, i: 4, t: 2, s: 8}?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -167 - -171. Let p be f\/18 + (-6)\/162*6. Solve d + 3 = -p*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 57.\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + -2)\/(-2 + 4\/(-4)). Which is bigger: t or -5\/164?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12175 - -12174.8. What is the fourth smallest value in -3, s, -3\/2, 11, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -466*n + 17 = -461*n + 3*j, 2*j = -2*n + 10 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -352.4 to the nearest 10.\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/13 (b) 3\/7 (c) -65 (d) 1\/4 (e) 2 (f) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 10 = -0*a. Find the second derivative of 2*p**a - 5*p**2 - 6*p + 5*p**2 wrt p.\nAnswer: 40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18 by -9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**2 + 6*l**2 + l**2 + (l**2 + 3*l**2 - 3*l**2)*(1 + 0 - 2) + 2*l**2 - 3*l**2 - l**2 + (3 + 2*l - 3)*(2*l + 2*l - 3*l) - 12*l**2 - 3*l**2 + 8*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 + 46. Solve q*j - 27 = 5*d - d, 1 = 2*j + 3*d for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/9)\/4 - (-2291)\/3. Suppose -q + v = -887. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-25)\/(u\/(u*u*u**(4\/13)))*(u\/(u*((u**(1\/16)*u)\/u)\/u*u*u*u)*u)\/u**(-1\/19) assuming u is positive.\nAnswer: u**(-97623\/3952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 + 45?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25080.\nAnswer: 2, 3, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*n - 5208 = -36*n - 74*n. Let h(a) = 3*a**2 - 1. Let k be h(-1). Calculate the highest common factor of k and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m - 18. Let x be c(-8). Let l = 2 + x. Let u be 0\/(7\/(28\/l)). Solve u = 2*d + 5 + 3 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times -0.8?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -4\/3 (b) -8 (c) 2\/11 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 0 + -54 + (20 - (-11 + (46 - 18))).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, -6.6, -1\/4, 17629?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 455c4 (base 13) to base 2.\nAnswer: 11110110100011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -102*n**4 + 120*n**3 + 99*n**2 - 284*n wrt n?\nAnswer: -2448*n + 720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.3063 * 4\nAnswer: -1.2252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -40.68, -0.3, -4, -0.5, -3?\nAnswer: -40.68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 k when four letters picked without replacement from kgggkggggggg.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -100010110100010101001 (base 2) in base 8?\nAnswer: -4264251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**2 + 36*n - 116. What is m(-19)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1699.5 (b) -2\/7 (c) 2\/3 (d) 5\/2 (e) 4\/7 (f) 1\/6 (g) -0.0782\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1298787649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (5805*n - 3425*n - 3168*n - 1)*(-3*n**2 - 4*n**2 + 2*n**2) in the form w*n + k*n**3 + a*n**2 + x and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1225.4 - 1225. What is the biggest value in 524, 3, c?\nAnswer: 524","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**2 - 2. Let x(g) = -28*g - 3. Let z(q) = -133*q - 14. Let v(l) = -14*x(l) + 3*z(l). What is v(t(b))?\nAnswer: 14*b**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -456126 - 0?\nAnswer: -456126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 0.3, 2\/215?\nAnswer: 2\/215","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/5 + 100*g + 167\/5.\nAnswer: -(g - 167)*(3*g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r + 39. Let c(a) = -9*a - 1250. What is c(o) + 4*s(o)?\nAnswer: -o - 1094","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 8 - (-6 + 7)) + -13?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6713 + -77945.\nAnswer: -71232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(304) - (1 + sqrt(304) + 4 + sqrt(304) - sqrt(304)))**2 - sqrt(304)) + 5*1*sqrt(304).\nAnswer: 21 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -902, -901, -900, -899?\nAnswer: -898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1521790292 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*s = 2, -2*s - 2*s = -2*o + 20. Let z(m) = 1 - 8*m + 15 - 4*m**o - 8*m + 5*m**2. Let d be z(15). Which is smaller: 2\/57 or d?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/(-1))\/((29 - 15) + -11). Solve -2*l + 3*a - 18 = 5*a, l + 5*a + 29 = q for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -163*x + 2697. Let i(t) = -328*t + 5387. Let d(g) = 4*i(g) - 9*l(g). What is the derivative of d(a) wrt a?\nAnswer: 155","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**4 + 2*z**4 - 4*z**4 + 0*z**4 + 2*z**4 + 0*z**4 + (z - z - 2*z)*(-5*z**3 + 3*z**3 + 0*z**3) + (0*z + 2*z - 3*z)*(-z**3 + 0*z**3 + 3*z**3).\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 135\/4 - 36. Let r = 2 + y. Which is the fourth biggest value? (a) 6 (b) -1 (c) 2 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268.06297 rounded to 1 dp?\nAnswer: 268.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3*((80\/(-15))\/(-8))\/((-1)\/(-1))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -46480 and 0.38.\nAnswer: -46479.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 56 and -466.53?\nAnswer: 522.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 3 = i - 2*z, -16 = -4*z. Let u = 19 + i. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 10898 and 4?\nAnswer: 10894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n - 2*n - 2*n - 5*n.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2956*q**2 - 1434*q**2 - 1480*q**2 - q**3 + (3*q**2 + q**2 - q**2)*(q + 0*q + 0*q) in the form p + y*q**3 + i*q + a*q**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 5:05 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24701 is divided by 3448?\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4 + (2*sqrt(1573) - sqrt(1573))*-2 + (1 + sqrt(1573) + 3 - (2 + sqrt(1573)*-2)))**2.\nAnswer: -154*sqrt(13) + 1622","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -22\/3, 3 in decreasing order.\nAnswer: 3, 2, -22\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -25673 or -25674?\nAnswer: -25673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23435170*r**3 - 381*r**2 - 16188*r wrt r?\nAnswer: 140611020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l + 30 = -35 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/5 - 5802*w**2\/5 + 5796*w\/5 + 2320.\nAnswer: 2*(w - 2900)*(w - 2)*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 1425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 8. Let i = -6 - t. Suppose -i*x + 65 = 3*x. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5566)\/(-253))\/(((-4)\/3)\/(-2)). Let b(u) = -u**3 + 31*u**2 + 67*u - 29. Let v be b(l). Factor 0 + 4\/3*j**2 - 6*j**3 + 0*j + 14\/3*j**v.\nAnswer: 2*j**2*(j - 1)*(7*j - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oddo when four letters picked without replacement from {d: 9, o: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -1021249*o - 8. Let b be k(8). Round b to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 2*l + 13 - 22, -4*v + l - 1 = 0. What is the lowest common multiple of v and ((-44 - 0)\/(-4))\/1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 18667317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**4 + 5*o**4 - 5*o**4)*(-5 - 4*o + 5) + 2*o**5 - 2*o**5 + 2*o**5 + 0*o**5 - 4*o**5 + 5*o**5 + (0 + 0 - 2*o**4)*(2 - 2 + o).\nAnswer: 9*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.16123 micrograms in milligrams?\nAnswer: 0.08216123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9261 and 7708176?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7031013?\nAnswer: 3, 11, 17, 83, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 1344536?\nAnswer: -1344543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*p - 176*p = -6*p - 58*p + 3417 for p.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2 + 0 + c - 6 + 11*c + 6 + (-2 + 4 + 4)*(2*c + 2*c - 6*c) + 0 + 0 - 2*c - 2 - 4*c + 2.\nAnswer: -6*c + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 163, 223, 283, 343, 403, 463?\nAnswer: 523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3063725 divided by -49.\nAnswer: 62525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1165 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.9995 * -1.21\nAnswer: 1.209395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 85 = 17*l + 209 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-469)\/42 + 1\/6. Let h = v - -15. Let q = 5 + h. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378619 is divided by 348.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q + 6. Let p be t(6). Let l be (0 - 6)*p\/(-18). Solve z + l = 5*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1107*n + 691*n + 19778 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0591955 decades to centuries.\nAnswer: 0.00591955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-3))\/(1*1\/(-3)). Let i be -2*(7\/(-2) + 3). Suppose 3*o + i - 3 = -u, -b*u = 5*o - 7. Calculate the remainder when 31 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 5*f**6\/18 - 22*f**5\/3 + 40*f**4 + 1310*f**3\/9 + 715*f**2\/6 + 2383. What is u in b(u) = 0?\nAnswer: -1, 0, 11, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 342528663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c - 7. Let z = 8 - 12. Let g be 1 + (-1 - -2) + z. Let u(b) be the third derivative of -b**3\/2 + 2*b**2. What is g*f(s) + 5*u(s)?\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of 7*h**5\/12 + 2*h**2. Let b(k) = 2*k**2 - 3*k + 3. Let n(f) = 2*f**2 - 2*f + 2. Let r(o) = 2*b(o) - 3*n(o). Give r(j(u)).\nAnswer: -2450*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3308140?\nAnswer: 2, 5, 11, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86784, 86750, 86714, 86676, 86636?\nAnswer: 86594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1174 divided by 21100\nAnswer: -587\/10550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1081.33 - -1080.5. Put -0.4, -3\/8, q, 1 in ascending order.\nAnswer: q, -0.4, -3\/8, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11614, 93230, 314684, 745894, 1456778?\n\"Answer: 11653*o**3 + o**2 + 42*o - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + 69.63782\nAnswer: 69.23782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from czcczzcczzcczzzcczz. Give prob of sequence cczc.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9178.079 nanograms to milligrams.\nAnswer: 0.009178079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58699 + 58699 + 613*x)*(-3 + 2*x + 3 + (x - 4*x + 2*x)*(4 + 0 - 3)).\nAnswer: 613*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1681805 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y\/(y**(-3\/2)*y))\/y)**50*(y*y**(-1\/3)*y)**(17\/2))**29 assuming y is positive.\nAnswer: y**(15515\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-38*177\/(-17936))\/((-9)\/(-48))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 16) to base 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3 + sqrt(2057) + 3.\nAnswer: 11 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 4*b + 4*k, -160*b + 163*b + 5*k + 41 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 83*f + 919. What is j(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3656*f + 4208 - 4208.\nAnswer: -3656*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence htdw when four letters picked without replacement from {v: 2, d: 1, t: 2, w: 5, h: 4}?\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m + 16, 72*a + 5*m + 40 = -78*a + 210*a - 55*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 22 = q - 36, 6 = 3*q. Let y be 96*(n - 4)*1. Suppose 2*a = 8*a - y. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -457\/2 - -215. What is the common denominator of 44\/7 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**23)\/(o*o*(o\/(o*o\/(o**(-4\/7)*o)))\/o))\/(o*o\/(o*o**(-27))*(o*o\/o**(-1\/38)*o)\/o) assuming o is positive.\nAnswer: o**(-1717\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -1) + 350 + -382\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 159917218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-1) + -3)\/(-2). Let d(z) be the first derivative of -1\/2*z**2 - 6*z + 2 + 1\/3*z**3. Calculate d(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 5 (b) 2\/7 (c) 3 (d) 1.1 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + h + 148, 315 = 5*f - 3*h - 431. What is the remainder when f is divided by (8\/6)\/((-28)\/(-462))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3212?\nAnswer: 2, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 177 + -157986?\nAnswer: -15780a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 + 6. Let m = t - 23. Let x be (30\/m)\/((-2)\/(-6)). Solve x*p - 7 = -3*h, 0*p + 2 = -2*p for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + a - 2*p + 36, -5*p = -2*a - 27. Let d be (-20)\/a + (-2)\/(-3). Solve 3*m = 4*s + 8, 36 + d = -4*s - 5*m for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 2*l**2 - 4*l + 3. Let h be f(3). Suppose 0 = 5*m - 5, -4*x + 0*x + h = 4*m. What are the prime factors of 2\/x*-2*-12?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18118 - -8125. Is -9993 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2*d**5\/11 + 40*d**4\/11 + 214*d**3\/11 + 104*d**2\/11 - 360*d\/11 = 0.\nAnswer: -10, -9, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 + 11 - 20 - 68*y + 4)*(77*y + 73*y - 152*y + 51) in the form d*y**2 + l*y + k and give l.\nAnswer: -3472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2775543 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 11*q + 11*q. Let u(p) = 5*p**2. Calculate t(u(s)).\nAnswer: 25*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 689773906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 217573?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5996, 22087, 48904, 86447?\n\"Answer: 5363*s**2 + 2*s + 631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 76 and -2?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = t + 5*c + 10, c - 21 = 4*t. Let o(g) = 2*g**2 - 2*g. Let h(d) = 4*d**2 - 5*d. Calculate t*o(w) + 2*h(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13342.400025 - 13342. Let z = -0.47 - -0.07. Let x = k + z. What is x rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -44.338.\nAnswer: 13.3014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*l + 11 + 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -7, -9, -9?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -671370321*2.\nAnswer: -1342740642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + b + b = 4, 5*z + 2*b + 12 = 0. Let n be (-4*z\/48)\/(2\/18). Solve 0 = -n*f + 5 + 4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -463a (base 16) in base 9?\nAnswer: -26585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 12054302004?\nAnswer: -12054301555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16*-3*(-2)\/12 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 8*h - 4. What is j(-23)?\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -8. Suppose -m + 43 = 3*d, 3*d - 3*m = v*d - 31. Calculate the remainder when d is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 5, -4, 2, -13513 in decreasing order.\nAnswer: 5, 2, -4, -15, -13513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 7*m - 3. Let b(s) = -s**2 + 7*s - 7. Let t be b(5). Let c be y(t). Suppose -o + c = 2*l + o, 0 = 4*l - 2*o - 54. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 25178 + -4?\nAnswer: 25174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 7:26 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-27 - (-43 + 52 + -23))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3751 by -45.\nAnswer: 3751\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*z - 633 + 339 = 0 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 3:30 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 10*j**2 + 9*j - 7 - 3*j + j. Let p be (-14 + 2)\/(-1) + 2. Let s(c) = 1 - 65*c**2 + 62*c**2 + 0 + 1 - 2*c. Determine p*s(r) + 4*y(r).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 266 and 2660?\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = s + 246 + 204, -2*s + 450 = 2*q. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 7414251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -203*a**2 + 197*a**2 + 4 + 0 wrt a.\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -196 - 20792*p - 194 + 591 - 201 to b + f*p and give f.\nAnswer: -20792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -185*l + 260*l - 450. Solve -l*f + 3 = 9 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 601 + 94 = -52*g - 761 for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5532662916.\nAnswer: 2, 3, 11, 13971371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*g - 25. Suppose 2*r + 66 = 2*m - 28, -2*m = -g*r - 109. What is the remainder when m is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*l**3 - 1810644 + 1810644.\nAnswer: -22*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(9\/1))\/((-8)\/48)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8069\/6 - 1342. Find the common denominator of h and -2*1 + (-10)\/(-11).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of 839*r**6\/30 - 362*r**4\/3 + r**2\/2 - 27*r - 27. What is the third derivative of h(g) wrt g?\nAnswer: 20136*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10960*g**2*t - 1388*g**2 - 1282006343*g*t wrt g?\nAnswer: 21920*t - 2776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3629123, 7258241, 10887359, 14516477, 18145595, 21774713?\nAnswer: 25403831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (-62 - -96) - -145\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -28346250 divided by -5\nAnswer: 5669250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 927563, 27 in descending order.\nAnswer: 927563, 27, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3 + sqrt(76) + 2 + -1 + sqrt(76) + 6*(sqrt(76) + 1) + -1)**2.\nAnswer: 192*sqrt(19) + 4900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*x + 25. Suppose -x*l + l = -20. Suppose -5*w = -3*d + 61, 2*d - l*w + 3*w = 43. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(((-56)\/(-11536))\/((-1)\/14)).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 93 - 117. Let v be 1\/3 - (n\/9 - 1). Suppose -5*b + 5*o = -20, -2*b - 2*b = -2*o - 24. Solve 2*c + 3*h - 5*h + b = 0, v*c + 13 = h for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -k**7\/840 - 121*k**4\/24 + 47*k**2. Let y(z) be the second derivative of l(z). Let g(p) = -108*p**2. Calculate g(y(h)).\nAnswer: -972*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q + 44 = 57. What is the common denominator of 149\/258 and (q - (266\/40 + 4)) + 4?\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*m = 18*m + 30. What is the lowest common multiple of m and 70?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 663, 1320, 1985, 2664, 3363, 4088, 4845?\n\"Answer: v**3 - 2*v**2 + 656*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u - 2*u + u + (1 - 2*u - 1)*(3 - 4 + 2) + 2*u + u - 4*u - 27 + 27 + 13*u - 2*u + u + 2*u to n + s*u and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 426883, 1707546, 3841977, 6830170, 10672119, 15367818, 20917261?\nAnswer: 27320442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 225 + -227. Let b be 1\/(-2 - (k - 1)). Solve -2 = 2*g - 4*w, -5*g + 3*w - b = 18 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*y**2 + 8*y**2 + 5*y**2)*(-2 + 1 - 1) as c + t*y + w*y**2 and give w.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2c - 12b?\nAnswer: -ff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 654684 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 4:31 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-23)\/46)\/(-1 + -2 - -1). Which is the nearest to 10? (a) -0.1 (b) -4 (c) t (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1250.9 + -1251. Which is the fourth smallest value? (a) -1 (b) y (c) -0.15 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5900 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.698805 take away 39?\nAnswer: 8.698805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -57 (b) -0.06 (c) 5 (d) 0 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 26, 52, 78?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -208*d + 2. Let x(j) = -104*j + 1. Calculate -4*a(o) + 7*x(o).\nAnswer: 104*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 27, -6, -2100, 2, -31 in decreasing order.\nAnswer: 27, 2, -4, -6, -31, -2100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2072914.5917 + -312937.4132. Let u = 2385966 + j. Let t = -114 + u. What is t rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nfnn.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-8) + (-130)\/(-120). Let x = 130 + -647\/5. Let f = 27 - 29. What is the closest to f in p, 0.3, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 428316 divided by -5099\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 59630 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10012 - 1?\nAnswer: -10020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247766.\nAnswer: 2, 43, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*u + 121 = 11. Let r(b) = b**2 - b - 2. Let s be r(-2). Put 5, -2, s, u in descending order.\nAnswer: 5, s, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*3*5)\/(sqrt(216)\/sqrt(6)).\nAnswer: 15*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, -66, 2, 4, -71?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 172525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 184631464 and 4528.\nAnswer: 2264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -62 + 445. Let u = -381.78 + t. What is u rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 6 = c, c - 3*g + 2 = -2. Suppose c*y = -11*b + 6*b, -4*b = -4*y - 28. Solve -v + 15 = b*a, -3*v - 10 = -4*a - a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45 + 2015\/(-52) - 2\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61021 (base 8) in base 9?\nAnswer: -37384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 12 = -2*v. Suppose -i - 10 = v*q + 43, 5*q + 3*i + 68 = 0. Let b = 31 + q. Which is smaller: 16 or b?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 84.35 - 1.35. Let q = -83 + p. Let k = -53 + 51. Which is the smallest value? (a) -3 (b) -4\/3 (c) q (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**4 - 3*d**4 + 0*d**4 + (-16*d + 6*d**2 + 16*d)*(7*d**2 + 3*d**2 - 5*d**2) + 6*d**4 - 4*d**4 - d**4.\nAnswer: 26*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -11110110001?\nAnswer: -11110110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4 + (2*sqrt(35))\/sqrt(7)*4 + 0)*-4)**2 + 1)*-4.\nAnswer: -21508 - 4096*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 441 - 99 = 6*x. What are the prime factors of x?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3305*q + 3 + 3302*q + 5)*(3*q - q - q)*(-2*q - 2*q + 0*q).\nAnswer: 12*q**3 - 32*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 340123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-five quarters of a week?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 131 - 89. Let v = -37 + x. Which is greater: 12 or v?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -582 + 582. Solve h = k + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6300 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*f = -9, -l + 6 = -3*l + 4*f. Let d(v) = 34*v**3 + 6*v**3 + v**2 - 1 - 2*v - 8*v**3. Let w be d(l). What is w rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 5*l**2 - l + 9. Let x be f(5). Suppose -x*g + 41 + 35 = 0. Calculate the remainder when 75 is divided by g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (103 - 103 - 902*c)*(-c - c + 0*c) to the form a + b*c + y*c**2 and give y.\nAnswer: 1804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 4*v - 3. Let u = -13 - -8. Let f be d(u). Suppose f*b + 2*b - 60 = 0. Is b a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (56\/35)\/((-2)\/(-15)). Let i = d + 16. Is i a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*i**2 + 11*i**2 - 10*i**2 + 1 - 3 in the form u + w*i + j*i**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -17*x - 728. Let g(l) = -3*l + 7238. Determine b(g(v)).\nAnswer: 51*v - 123774","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/35 + 120\/(-21). Let j = -9 - p. Let u = 22 + j. What is the lowest common multiple of 11 and u?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by -43.\nAnswer: -21\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/((-115)\/(-20) - 6). Suppose -5*p = -h - 4*h + 805, 0 = -5*h - x*p + 823. What is the remainder when h is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 3*z. Determine r(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*h**5 - 143*h**2 + 143*h**2 - 1 + h**5 + h**5 + 0*h**5 + (-h**4 + 4*h**2 - 4*h**2)*(-1 + h + 1).\nAnswer: -17*h**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, i: 2, k: 3, d: 3}. What is prob of sequence ikdc?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4))\/(((-140)\/(-16))\/7).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 5*r - 4*x - 0*x, -23 = -2*r + 3*x for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 10.655\nAnswer: -3.1965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 34*w + 12. Does 8 divide p(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.318 * 2.\nAnswer: 4.636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2202947836 + o**2 + 2202947836 - 5*o. Let m(g) be the third derivative of -g**5\/30 + 2*g**4\/3 + g**3\/6 + g**2. Give -2*m(y) - 7*n(y).\nAnswer: -3*y**2 + 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 6:40 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 516 - -114. Is 63 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**20*v)\/v*v)\/v**(-3\/19) assuming v is positive.\nAnswer: v**(-320\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45 - -73. Let w = g + -34. Let y(d) be the second derivative of -d**3\/6 - d**2 + d. Give y(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 570637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**4 + 8*c**4 - 3*c**4 + (c**3 + 10*c**3 - 4*c**3)*(111 + 40*c - 111).\nAnswer: 288*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 17*p + 360 = 0, 3302*r = 3301*r + 4*p + 85 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4 + 4*t**2 + 2*t**3 + t**2 - 2*t - 3*t**3. Suppose 0 = 4*l + h - 4 - 21, -2*h + 5 = -l. Give j(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a factor of 1308937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -5*n**2. Let j be 72\/(-168) - (1 - 72\/21). Let c(y) = -1057*y**j + 4*y + 1051*y**2 - 4*y. What is c(r(h))?\nAnswer: -150*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 15. Let x = n - 6. Sort x, 1, 7 in ascending order.\nAnswer: x, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**5\/210 - 29*v**4\/42 + 19*v**3\/7 - 2289*v**2. Factor g(x).\nAnswer: 2*(x - 57)*(x - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11.37 and 7?\nAnswer: 18.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5159)\/28)\/(-67)*1\/(-1).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 10:47 AM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, -0.36, 13, -1\/4, 2\/9, -4\/99?\nAnswer: -4\/99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0 = 2. What is the common denominator of (f\/6)\/(60\/1026) and 97\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.706 + 0.606. Sort z, -5, 1, -23, 5 in decreasing order.\nAnswer: 5, 1, z, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 2:41 PM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 42, 123, 244, 411, 630, 907?\n\"Answer: d**3 + 14*d**2 + 32*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - t)*((-2*t - 2 + 2)*(2*t**3 - 2*t**3 + t**3) + (0*t + 5*t - 3*t)*(13*t**3 + 4*t**3 - 33*t**3)).\nAnswer: 34*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*m - 412*m + 109 - 1774 = 1345 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + h**2 + 3. Let o be x(0). Solve -3*k + 25 = -2*s, -5*k + 45 = -o*s - s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/120 and 76\/45.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 2. Let u = 0.69 + -0.6. Let c = u - -0.21. Are a and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f + 3. Determine d(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h + 8. Suppose 3*d + 11 = -4. Let f be a(d). Solve x + 4 + f = -q, 5*x + 15 = -q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 123 and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = 31*j - 27*j - 3*r + 2*r, 4*j + 55 = -r for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3022 is divided by 234.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2531, -2219, -1699, -971, -35?\n\"Answer: 104*a**2 - 2635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0077423074 to 4 decimal places.\nAnswer: -0.0077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 30\/4157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 520 * 3.07.\nAnswer: 1596.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of l**6\/15 + 16*l**5\/5 - l**4 + l**2\/2 - 26*l + 1. What is the third derivative of q(s) wrt s?\nAnswer: 48*s + 384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y - 2*y - 18. Let g be (-60)\/14*(y - -9). Let f be g*(-44000)\/(-8 - -4). Round f to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15331024?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t, 3*a - 2*t - 123 = -0*t. Let n = -2 - -16. What is the remainder when a is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-32)\/(-6))\/((-4)\/18). Let n be (w\/(-3))\/(3 - 1). Suppose a - n*a = -36. Calculate the smallest common multiple of 10 and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 + 59945*a**2 + 1018776*a.\nAnswer: a*(a + 17)*(a + 59928)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**3 - 7*q**2 - 8*q + 8. Let l be m(6). Calculate the remainder when 26 is divided by (6\/(-4))\/((-15)\/l).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5411769018?\nAnswer: 2, 3, 17, 463, 114593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11)\/3 - 1\/3. Let b(j) = j**3 + j**2 + j + 1. Let u be b(0). Sort u, 5, c.\nAnswer: c, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 7*z**2 + 9*z + 15. Let q be p(-6). Which is the fourth smallest value? (a) q (b) -4 (c) -0.2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**6))\/(r**8*r))\/((r*r**(-6\/5))\/r**(2\/11)) assuming r is positive.\nAnswer: r**(-804\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2\/5 - 6*k\/5 + 24\/5.\nAnswer: -3*(k - 2)*(k + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 8 = -2*c. Is 26 + (-1 - -1)\/(c + 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1936 or 1935?\nAnswer: 1935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1*14\/3)\/(-105*(-23)\/1449)\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (39 - (-1 + 8 - -12 - 11)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3135.\nAnswer: 3, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/51 + -146\/357. Let d = 40 - 43. Let t be (-12)\/18 + 56\/66. Sort t, h, d.\nAnswer: d, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.0054, -2, 0.5, 1.\nAnswer: -2, -0.4, -0.0054, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 392 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y + 16\/7*y**2 - 2\/7*y**3 + 0.\nAnswer: -2*y*(y - 7)*(y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/3*(-590106)\/88 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -549.213 rounded to the nearest 10?\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 384362327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6697229 + -3057229. Suppose -16*o + 11*o + 25 = 0. Suppose c - o*c = -y. What is c rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16.8338*-0.4.\nAnswer: 6.73352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 13*q**2 - 5*q - 10. Let j be m(10). Let n = 1427 - 1331. What is the greatest common divisor of n and j?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 4:58 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 6796?\nAnswer: 33980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30355 divided by 5.\nAnswer: 6071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -136181.6849 plus -3.37?\nAnswer: -136185.0549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, o: 4, l: 5, j: 1, d: 1}. What is prob of sequence ojl?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 352 a factor of 29597568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 3*o - 16*o + 143 = -8*o, 0 = 12*f + 5*o - 128 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 766693634 to the nearest integer?\nAnswer: 915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a hour in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 111\/(-6)*(0 + 48\/(-180)).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 13. Suppose -4*o - 21 + 9 = 0, 3*o = p - 8. Let w(a) = -a**3 + 2*a**2 - 1. Let j be w(p). Is j < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cpuucwscwsppcwpwppus. Give prob of sequence scpp.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of d*w**2 + 2459*d*w + 13370*d + 82444225*w**2 + w wrt d?\nAnswer: w**2 + 2459*w + 13370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8658 and 34632?\nAnswer: 34632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 566*a**2 - 2*a**3 - 150*a**2 - 5*a**3 + a**3 + 5.\nAnswer: -6*a**3 + 416*a**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**2. Let v(y) = 415*y - 8. Calculate u(v(s)).\nAnswer: 516675*s**2 - 19920*s + 192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of n**10\/1008 - n**6\/36 - 11*n**3\/3 + 10. Let k(l) be the third derivative of s(l). Find the third derivative of k(a) wrt a.\nAnswer: 600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 2*a + 33 = 0, -3*n - 27*a - 35 = -32*a for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-24)*-8)\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 - (-60)\/(-16)) + 12\/16. Let q(i) be the third derivative of 1\/90*i**6 - 1\/15*i**5 + 0*i**3 + 0*i - 2\/9*i**4 + 0 + i**f. Factor q(p).\nAnswer: 4*p*(p - 4)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 7:28 PM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**4 - 88*l**3 - 128*l**2 + 228*l - 50. Let j(s) = 4*s**4 + 88*s**3 + 129*s**2 - 241*s + 50. Let v(c) = 4*j(c) + 3*m(c). Factor v(n).\nAnswer: 2*(n - 1)*(n + 5)**2*(5*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 2*m - 32 + 3, 2*h - 5*m = 0. Suppose -x + 8 = 3*x + 5*t, 0 = h*t. Sort 3, x, 1 in ascending order.\nAnswer: 1, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63118169 by -4.\nAnswer: 63118169\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 3780.832ng?\nAnswer: 0.000000000003780832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9300 and 465?\nAnswer: 9300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.4 + 12.4. Let j = c + -16. Let y = j - -2. Which is bigger: y or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + 8. Suppose 0 = -5*f + 15, -2*y + 2*f = -h - 15. Let r = 26 - y. Solve 5 - r = q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1555225?\nAnswer: 5, 7, 8887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2016)\/(-576))\/(7\/(-4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -789, 5 in ascending order.\nAnswer: -789, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4 - 4556\/(-28)) + (-2)\/(-7).\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-6*((sqrt(720)*-3)**2 + -1)*-1.\nAnswer: -155496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 401323 a multiple of 227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3198 + -0.2198. Sort -391, -0.1, o in ascending order.\nAnswer: -391, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 456456\/(-10010) - (1 + -37)\nAnswer: -48\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64104*z**3 - 31822*z**3 - 32291*z**3.\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 135954336?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 greater than 10290\/187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -203*p - 200*p + 381*p - 5 as k*p + h and give k.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (5167\/(-4))\/(12\/(-48)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0.1, -1.49, 3, 77\/12 in ascending order.\nAnswer: -6, -1.49, 0.1, 3, 77\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, f: 1, q: 3, u: 2}. What is prob of picking 1 u and 1 f?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 5*q = -70, 5*q + 16 = -4*j + 9*q for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*t = -1276 + 17427. Is -521 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19460 is divided by 2770?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -8*(-5 + (-459)\/6) is divided by 82?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 5*p - 17070 + 17033 = 0, -2*f - 12 = -4*p for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of 1\/8*m**6 + 7\/30*m**5 + 1\/6*m**4 + 3\/140*m**7 + m**2 + 0*m + 0 + 0*m**3. Let h(t) = 0. Calculate t.\nAnswer: -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**3\/5 + 37*p**2\/5 - 72*p + 324\/5 = 0. Calculate p.\nAnswer: 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7212 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 3 - (-975)\/(-315). Which is the closest to -36? (a) x (b) -0.5 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rhfhbawr. What is prob of picking 1 a and 1 h?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v + 2*y - 20, -v - 3*y = v - 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4*j**2 - 4*j + 7. Let a(u) = -7*u**2 - 7*u + 13. Let b(z) = -3*a(z) + 5*i(z). List the prime factors of b(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -360324086*i**2 + 427452601 wrt i?\nAnswer: -720648172*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/4)\/((-47)\/(-188)). Suppose -3*v - 59 = -2*g, -g = -0*g - 5*v - 33. Suppose 8 = -w*q + g. What is the remainder when q is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-123)\/(-3) + -4 + 3. Let k(v) = -v**3 + 4*v**2 + 9*v - 28. Let n be k(3). Calculate the highest common divisor of n and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1412182 - 0.5.\nAnswer: 1412181.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3984 + -1863. What is the greatest common divisor of o and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248226572?\nAnswer: 2, 11, 73, 109, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 231*z + 4. Let a(p) = 461*p + 10. Calculate 2*a(n) - 5*m(n).\nAnswer: -233*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bfbfbwffbfwfbwx. Give prob of picking 1 b and 3 w.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.4683 or 154\/93?\nAnswer: 154\/93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1950 + 1949.8683. What is n rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2, 5, -28313, -1 in ascending order.\nAnswer: -28313, -6, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*o + 551 = -11814 - 6445. Calculate the remainder when 1132 is divided by o.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 134*8\nAnswer: 1072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5772 and 5402.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.837 grams in milligrams?\nAnswer: 36837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4920 - 5*z - 1643 - 1642 - 9*z - 1635.\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 3*h - 107, 102*x - 106*x + 87 = h. Solve -x = 13*o + 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -75, 3 in increasing order.\nAnswer: -75, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 171300 rounded to the nearest one thousand?\nAnswer: 171000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(60\/750)\/(-13 + (-34533)\/(-2655)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -2 + 5 + 0 + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 5 (b) 0.1 (c) -10\/9 (d) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -33, -153, -337, -573, -849?\n\"Answer: 2*m**3 - 44*m**2 - 2*m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20308?\nAnswer: 2, 5077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1ee0 (base 15) to base 2.\nAnswer: 1101001001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 4*t - 300, 187 = 5*s - 3*t - 172. Suppose -s*y + 77*y - 8 = 0. Let 8\/3*f**4 + 0 + 8\/3*f**y - 4*f**3 - 2\/3*f - 2\/3*f**5 = 0. Calculate f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c - 108. Determine w(-17).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 + -28. Put 2, c, -4 in increasing order.\nAnswer: -4, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2304))\/(sqrt(300) + -2*sqrt(300)).\nAnswer: -8*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.098 + -0.102. Let n = x - -9.1. Which is the smallest value? (a) 2\/5 (b) 0.1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44*u - 26*u + 3*u**2 - 42*u + 21.\nAnswer: 3*(u - 7)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 84*y - 163. Determine z(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/6*-3)\/(3\/(-26)). Let a = u + -9. Solve -a*k + 4*m + 30 = 2, -5*m = -3*k + 27 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/184, -0.5, 0.059, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 819*h**3*i*r**2 + 10225*h**3*r**2 - 691*h**2*i*r - h**2*i + 2*h + 21*i*r**2 - 2*r**2 wrt h?\nAnswer: 4914*i*r**2 + 61350*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 - 1 - 2*f + 1 - f**2 - f**2 + 4*f**2 + 0*f**2 + f**2 - 3*f**2 + (-1 + 1 + 2*f)*(2*f + 2 - 2) + 4*f**2 - 21*f**2 - 30*f**2.\nAnswer: -44*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 232965503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x = -28 + 20 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 1.7 (b) 0 (c) 1 (d) -239\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1705)\/66 + 25)\/((-2)\/12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 40 = -2*r. Suppose -113*m - 135 = -5*d - 118*m, -2*m = 5*d - 144. What is the greatest common divisor of d and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d - 3 + 1 + d.\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**3\/9 + 26*l**2\/3 + 2*l\/9 - 26\/3 = 0. Calculate l.\nAnswer: -1, 1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5659\/19 + 68727\/95. Let y = -426 + v. Which is the third smallest value? (a) -2\/17 (b) -1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*n**3 - 935 + 572 + 363.\nAnswer: 21*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-35)\/(-70))\/((-3)\/(-8922))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.025683719506 + 27.\nAnswer: 26.974316280494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55138751.\nAnswer: 23, 233, 10289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 4, 46, 0.\nAnswer: -5, -3, 0, 4, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 77*s**3 + s + 8 - 3 - 8*s - 38*s**3. What are the prime factors of f(2)?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -9*u**4\/4 - u**3\/3 + 5. Let o be i(-1). Solve 2*w = -10, s - o - 22 = 5*w for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4271547197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -7920, -13, 55 in ascending order.\nAnswer: -7920, -13, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3 = -4*q + 53, -q - 3*p - 5 = 0. Let w(g) = 5 + g + 3*g**3 - q*g**3 - 5. What is the remainder when w(-1) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -95.35 + 100. Let c = 5 - g. Round c to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.182353 to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.15 + 7.15. Let u = a - 7. Let s = 0.2 + u. What is the closest to -0.1 in 2\/7, s, 1\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + 41 + (-10 - 8) + -14.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 8*z - 36. Calculate b(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002119676 rounded to seven decimal places?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 376036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = q - 4 + 8, -3*q - 1 = v. Put -3, v, 5, 22 in descending order.\nAnswer: 22, 5, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 2*b + 3*b + 22, -3*b - 10 = 5*d. Suppose 3*c = -4*k - 3 - 0, 5*c = 4*k - 5. Which is bigger: c or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 33?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o + 119 = -76. Suppose n - 4*z + o = 6*n, -5*n - 30 = -5*z. Let m = -785\/11 - -71. Which is greater: m or n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (0 + 1)) + (-8 - (-3 + 6)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 118 and 50?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.438036 days in microseconds?\nAnswer: 642646310400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/11)\/(6\/(-3030)). Let t = -46 + s. Suppose 2*j - 3*j = 1. What is the nearest to j in t, 2\/13, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 187290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 7 = -3*l, 4*i + 35 = 4*l + 15. Find the third derivative of -6*s**l + 32*s**3 + 38*s**4 - 33*s**4 + 73*s**2 wrt s.\nAnswer: -24*s + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 5 = 2*y - 3*s, 4*y = -3*s - 1. Let f be 13 - 12 - (-1 - y). Let h = -14 + 24. Solve -f*b - h = -26 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 3*w**2 - 4. Let m be t(-3). Suppose 2*o - m - 36 = 0. Calculate the remainder when o is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 83 and 1577.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 - 0.7. Let q(l) = l**3 - l**2 - 4*l + 3. Let k be q(2). Let u = -4 - k. Which is bigger: u or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vjdjjdvdgvjjajdcd. Give prob of sequence gd.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8449 rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**4*d**3 + 26377*b**4*d - b**2*d**2 - 593*d**3 wrt b?\nAnswer: 24*b*d**3 + 633048*b*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -14119.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*x**3 + 14*x**2 + 10171*x?\nAnswer: 42*x + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**3 + 201*o**2 - 111*o - 2638. Determine g(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*k*l**5 - 309*k*l**2*y + 2*k*y + 2*l**5 + l**3*y + y wrt l.\nAnswer: -300*k*l**2 + 120*l**2 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 325 and 182?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + sqrt(17) + 0 + 4 + (sqrt(187) - -1*sqrt(187))\/sqrt(11))**2.\nAnswer: 32*sqrt(17) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 7*s**2 - 33*s. Let k(r) = -r. Give m(k(x)).\nAnswer: 7*x**2 + 33*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -206.2003 + -1940708.7997. Let b = o - -1940915.1999994. Let j = b + -0.2. What is j rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*i**2*t + 7*i**2 + 19*i*t wrt t.\nAnswer: -7*i**2 + 19*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3*w + 87, 3*w + 2*w + 95 = 5*h. Is 3 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1862 + 1875. Solve d = -10 + x for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1301 (base 5) to base 3\nAnswer: 21110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 213 * -157.\nAnswer: -33441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/(-138) + 0)*((-747)\/72 - -10). Which is smaller: q or 21?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -51 in -1012, -8, -0.5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.93 (b) 0 (c) 4\/5 (d) 0.2 (e) 5 (f) -31 (g) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 8:53 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a**2 + 1. Let c be (-5)\/(5\/4) + (-3 - -8). Let n be m(c). Sort -1, n, 3, -5 in descending order.\nAnswer: n, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 1:46 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 5609*z**2 - 267. Let o(n) = -n. Give l(o(h)).\nAnswer: 5609*h**2 - 267","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 * 1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence agg when three letters picked without replacement from {g: 2, a: 1, h: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16)\/2 + 168\/21. Sort 5, 2, z, -2, -3 in descending order.\nAnswer: 5, 2, z, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -455*g - 110. Let o be z(-10). Round o to the nearest one hundred.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*h - 4366 = 0, u + 4*u = -5*h + 4360. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129524579 a multiple of 1529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 114535.7?\nAnswer: 114535.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 7*b**2 + 63*b + 367. Give o(-6).\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((-4)\/(-18) - 38\/90). Suppose d*a - 4 = -2*w - 1, -a + 2 = -w. Let i be ((-27)\/15)\/3*(w + -4). Solve -i*r + 10 = 2*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or -0.69509?\nAnswer: -0.69509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8 + 0*d**2 + d**4 + 0*d**2 - 4*d**4 wrt d?\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 7*o = 180. Let l = o - -28. Let j(g) = g**2 + 7*g. What is j(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 83.04032 + -83. Let k = b - 0.04. Round k to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aakaaakaaa. What is prob of picking 2 a?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + 11 - -28 - 117?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.209*1080.6\nAnswer: -225.8454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2 = -2*r, v - 27 = -6*r - 54. Solve 7 - v = 4*g, 7 = 2*b + 3*g for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-7 - 11) + 13\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9978.\nAnswer: 2, 3, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5*o - 3 = 5, -5*o = -5*p + 40. Suppose g - 15 = 2*h - 0, 2*h = -2*g. Suppose 0*m + 2*j - 106 = -5*m, -g*m + 112 = 4*j. Solve -p*f - f = -m for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**3)**(-24) assuming g is positive.\nAnswer: g**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, 3\/2, -6\/29, -80?\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1880e9 (base 15) to base 13\nAnswer: -3294b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 29*c + 570. What is the remainder when s(-17) is divided by 34?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 d when two letters picked without replacement from jjdmjjdtdtmfdm.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1965575234 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 555474 and 2838.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*w**2 + 9*w**2 + 398*w**3 + 3 - 3 - 16*w**2 in the form i + n*w + k*w**2 + u*w**3 and give u.\nAnswer: 398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30425 - -43725. Round i to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of 11*a - 12*a**2 + 0 - 1\/2*a**3. Let h be l(-19). Round h to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1605024 by -4.\nAnswer: -401256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 1.4 (c) 4 (d) -3 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*a + 4*b, b = 5*b - 12. Find the third derivative of 5*f**5 - 3*f**5 - 4*f**5 - 3*f**2 + a*f**2 wrt f.\nAnswer: -120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q - 51 + 105 = 0 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 153 - 97. Let f = 87950 + -88006.031. Let o = c + f. Round o to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 2*q**2 + q - 2. Let a be b(2). Suppose 2*h - 20 = 5*g, -4*h - 8 = -0*h + 2*g. Suppose h = -j - 2*j + 12. Solve 0 = -j*f - a - 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bnc when three letters picked without replacement from nrncnsbnb.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(-6)*(-1)\/((-5)\/10). Suppose 0 = -5*a + 2*q + 19, b*q = a - 2 - 7. Solve a*l = 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(6171))\/sqrt(432).\nAnswer: -11*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 + -33. Let k = o - -5.3. Which is the nearest to -0.1? (a) 3 (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -551?\nAnswer: -550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 177715624 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6\/5))**(-18\/7) assuming b is positive.\nAnswer: b**(108\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*c**2*q*y + c**2*y + 2*c**2 - 6*c*q**3 + 2*c*q*y + 12*y wrt q.\nAnswer: -3*c**2*y - 18*c*q**2 + 2*c*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247502 is divided by 8839?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 6. Let k be 6\/(-42) - (-1)\/7. Let o = w + k. Calculate the smallest common multiple of 16 and o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 481 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/(1275\/476)*(-6)\/4.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -1. Let h(a) = -a**3 - 16*a**2 + 19*a + 40. Let x(w) = -h(w) - 6*o(w). Let x(s) = 0. What is s?\nAnswer: -17, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**2. Let z(q) be the second derivative of -1081*q**3 + 96*q + 2*q**4 + 1081*q**3. What is z(n(m))?\nAnswer: 96*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-2\/7))**41\/(i**(-2\/7))**(6\/17))**(-5\/7))**(21\/4) assuming i is positive.\nAnswer: i**(10365\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h*(((h\/(h*(h*h\/((h*h*h\/(((h*(h*h*h*h\/h**(2\/17)*h*h)\/h)\/h)\/h))\/h*h)*h*h)\/h))\/h)\/h)\/h)*h)\/h**(-2\/59) assuming h is positive.\nAnswer: h**(6937\/1003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24\/265769 - -11576359\/39599581. Let s = v + -1\/149. Factor -s*j**2 + 0*j + 0.\nAnswer: -2*j**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, -1, -4, 107, -26, -5, 1 in descending order.\nAnswer: 107, 1, -1, -4, -5, -26, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 4*y + 4. Let b be n(3). Suppose m = 2*g + 8 + 21, 2*m = -2. Let i be (-4)\/(-3) - 10\/g. Solve -4*z = 5*v + 33, -4*z = -v + i + b for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2325 and 300.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44644035?\nAnswer: 3, 5, 23, 129403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30 + 21?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14699*l**2 + 319*l - 115061875 wrt l.\nAnswer: -29398*l + 319","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5*g + 86 = 0, 2*c + 0*g - 86 = 2*g. Let i = -4133 - -4128. Sort i, c, -0.2.\nAnswer: i, -0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 4*p. Let u be r(4). Suppose -o = -u - 3. Let b(l) = -l. Let d be b(-3). Solve d*c - c - 10 = -2*i, o*c + 13 = 4*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 58*l + 474. Calculate w(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -480*i = -1182*i - 1401*i + 418084 - 134179 for i.\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5265.7 rounded to the nearest 10?\nAnswer: 5270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -4. Let p = -1 + z. Let r be (3\/9)\/(5\/(-2)). Which is smaller: r or p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 91900 and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 68*24\/(-192)*2.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1211\/5 - 242. Factor 1\/5*z**2 - y*z - 2\/5.\nAnswer: (z - 2)*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 156198456 divided by 17355384\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10350480?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 61769 - 40302. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1556*g = -1589*g - 31450 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380580?\nAnswer: 2, 3, 5, 6343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5101 is divided by 373.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**3 + 0*k**3 - k**4 + (-2*k + 0*k - k)*(2*k - 2*k - 2*k**3).\nAnswer: 5*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -4, 7, 3 in descending order.\nAnswer: 7, 3, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f = 4738 - 5058 for f.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-4*(sqrt(12) + sqrt(3))**2.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of c**4\/42 - c. Factor h(r).\nAnswer: 2*r**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - t = -17, -2*l + 6*t - 4*t + 16 = 3*t for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -209258480 divided by -41851696\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 144*l = -141*l - 12, 3*k = -4*l + 15. Let q(d) be the first derivative of 1\/2*d**2 + 5*d - k. Determine q(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(1134) - 1*sqrt(1134)*-1)\/(2*(sqrt(1008) - 2*sqrt(1008))*5).\nAnswer: 3*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/150*5)\/((-12)\/(-8)*-1).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 8*r**2 - 2*r + 22. Let h = 13789 - 13782. What is x(h)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 4)*(503*s**3 + 36138*s - 36138*s).\nAnswer: 3521*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*z - 504708 = 16*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 times 7489?\nAnswer: 4763004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/20 and -29\/320?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 11 = -2*j + 21, -3*j + h + 2 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -404b12 (base 13) to base 16.\nAnswer: -16d31a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*r - 17 = 0, 3*n + 9*r - 7*r = 16. Which is greater: n or 1597?\nAnswer: 1597","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 763.276475 to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 1\/4 (b) -2418 (c) 99 (d) 2 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -8846\/7*w**2 + 2\/7*w**3 + 1396720*w + 1397984 = 0.\nAnswer: -1, 2212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 520974 divided by -1221\nAnswer: -173658\/407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 127723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227440149 is divided by 466.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 871754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -145490664 and 1.31?\nAnswer: 145490665.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 11*v + 7*v + 2*v + 3 - 7 - 2*v**2 in the form x*v**2 + o + q*v and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 800 - 793. Let i(h) be the second derivative of -2*h + 1\/6*h**4 - 1\/42*h**g + h**2 - 2\/15*h**6 - 1\/5*h**5 + 0 + 5\/6*h**3. Suppose i(w) = 0. Calculate w.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111202102 (base 3) to base 11.\nAnswer: 7597","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.97 + 3.97. Let k = -1 - -5. Let n = 5 - k. What is the closest to n in -2, y, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002120839 to six decimal places.\nAnswer: 0.002121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1040218 divided by 5.\nAnswer: -1040218\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 6*i**2 - 7*i + 68. What is the remainder when 582 is divided by q(8)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 i when three letters picked without replacement from ykflylyllliltltiytfy.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 19 = 5*j - 0*a, -3*j + 14 = -2*a. What are the prime factors of 12\/4 - 156\/(2 - j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -81 + 93. What is the lowest common multiple of 28 and n?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 6*u**2 + u + 6. Let d be q(-6). Suppose d = -0*g + 5*g - 15. Factor 2 + 5\/3*b - b**g - 8\/3*b**2.\nAnswer: -(b - 1)*(b + 3)*(3*b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 10 = -0. Suppose w*l + 3*u + 14 = 0, -l + 5*u - 26 = 3*l. Let o = l - -39. What are the prime factors of o?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ece when three letters picked without replacement from ceeniuc.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5074 divided by 43?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.01 - 2.99. Let i be 2\/(-5)*((-132)\/28 + 4). Which is the nearest to -2? (a) h (b) 0.2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -356989, -356985, -356979, -356971, -356961, -356949, -356935?\nAnswer: -356919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r - 10. Let g(v) = -41*v. What is the remainder when g(-1) is divided by c(-12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -917, -920, -923, -926, -929?\n\"Answer: -3*a - 914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-180)\/(-320))\/(2\/8*-1))\/((-3)\/(-36))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-3)*114\/76*8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 8102.\nAnswer: 72918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6 + (-231)\/(-7))*1. Suppose -114009 - 137388 = -x*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41*f**4 - 118 with respect to f.\nAnswer: 164*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 80. Let f = 64.9999906 - v. What is f rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8603 is divided by 151?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1*-3*(-10)\/(-15)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 + -3 + 452 + -561?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -21 + 25 + (-9 - -7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in -1\/2, -0.2, 1.94?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 5?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-11570)\/(-25)*45\/18?\nAnswer: 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of 13*m**5\/60 + m**4\/12 + m**3\/6 - 13*m**2. Suppose 0 = w - n - 1, -w + n = 5*n + 9. Calculate x(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2\/165, -3, -0.4, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + i - 3)*(0 + 0 - 1) - 9*i + 239 - 239 to the form z + u*i and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 234 - 128. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from isiiisiisisissssissi. Give prob of sequence si.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 132 = 5*l, -8*l = -3*l - 2*x + 148. Let t(p) = -p**2 - 34*p - 2. Is t(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = k - 2296. Suppose -k*j + 286*j = -211. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 90 = 98, -5*i - 25 = c - 26 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*l - 28, -62*r + 60*r - l - 12 = 0. Let z(i) = i**3 + 9*i**2 + 14*i + 15. Let a(y) = 2*y + 1. Let s(n) = -3*a(n) + z(n). Calculate s(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000907 rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44 - -84. Let s = 8.7 - -30.3. Let o = z - s. Which is smaller: 2\/7 or o?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 725?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4919148691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 11*g + 3*g + (0 + 3 - 2)*(-4 + 4 - g) - g - 3 + 3)*(-654*g**2 - 4*g**4 + 654*g**2).\nAnswer: 48*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 10*z**2 + 5*z - 1. Let m be f(-9). Suppose -10 = 5*w - m. Suppose 0 = 3*p + 4*g - 42 + 8, 0 = 4*p - 5*g - 4. Do p and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12.86 + 1.26. Let m = z - -2.6. Let k = m - -6. What is the closest to 1\/3 in 0.4, 1.2, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -3\/14, 4.6, 3\/2 in increasing order.\nAnswer: -3\/14, 0.1, 3\/2, 4.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 f when three letters picked without replacement from {m: 12, a: 3, f: 2}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 529.47731 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2.3*49.7\nAnswer: 114.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 38178261, 76356524, 114534785, 152713044, 190891301, 229069556, 267247809?\n\"Answer: -d**2 + 38178266*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -758 - -758. Solve 132*x - 131*x + 1 = f for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 3*y = -2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*k**4 + 17*k**3*w + 4*k - 54*w wrt k?\nAnswer: -8*k**3 + 51*k**2*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -22038494 at most -22038506?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 + 53 - (-1 + 10) - 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 7*d**2 + 9*d - 1. Let y be k(6). Suppose -5*q - 3 - y = 0, 3*q - 111 = b. Let v = b - -151. Calculate the highest common factor of v and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2527.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4 - 12*f**2 - f**3 + 5*f**2 + 3*f + 6*f**2. Let j be k(-3). Let u(r) = -j*r + r + 2*r. Let h(n) = -n. Give h(u(d)).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a decade in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 3*q + 32 - 105, 0 = h - q - 20. Let z be h\/4 - 12\/(-48). What is the greatest common divisor of 45 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, h: 1, q: 2, k: 1, s: 1, o: 1}. What is prob of sequence qk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s. Let j(b) be the third derivative of 0*b**3 - 3\/8*b**4 + 0 + 49*b**2 + 0*b. Determine j(k(q)).\nAnswer: 27*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 7*d - 10. Let m be a(5). Suppose -9 = -4*k + k. Suppose -2*c - 5 = -k*c. Solve -5*z + c = -m*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus 940774?\nAnswer: 940774.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 297 a factor of 33136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 9 = -5*l. Let n be (2\/(-2))\/(-1 + 0). What is the derivative of -n + y**l + 0 + y**4 wrt y?\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 14*t**2 - 4*t + 19. Let o be g(-14). Find h such that -o*h**3 - 6*h**2 + 77*h**3 + 2*h**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zgff when four letters picked without replacement from ybyfyfzgbbzyfzy.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus -0.206453083?\nAnswer: -0.406453083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -4, 1\/3, -16?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3607 <= -3606?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2749801, -5499516, -8249231, -10998946, -13748661, -16498376?\nAnswer: -19248091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, 2637 in ascending order.\nAnswer: -1, 6, 2637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1\/j**(1\/16))**(-1\/14) assuming j is positive.\nAnswer: j**(-15\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/18 - (-117)\/162?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/1 + 22\/42 and (-1 + 0 - (-146)\/(-18)) + (-1158)\/(-1737).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/4*(-22 + 2)*1. Let w(s) = 3160*s + 3. Let j be w(c). Let b = -22597 - j. What is b rounded to the nearest 1000?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzpzzzpzzp. What is prob of picking 1 p and 1 z?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 849 = -3*i - 840, 3*i - 9 = 3*r for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -110.3651 and -11.\nAnswer: 1214.0161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 35536, 0, 2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8494751?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/53? (a) 5 (b) 2 (c) -37113\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -3*g**2\/2 - 7*g - 1235. Give x(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3706 + -7a4?\nAnswer: 2b22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3835171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 819868771 to the nearest integer?\nAnswer: 28633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -23*u**5\/30 + 1937*u**2. Let k(g) = -18*g. Give k(t(p)).\nAnswer: 828*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in six fifths of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 6 + 4 = 0. Let n be (p\/3)\/(4\/(-48)). Suppose n*d - 38 = c, 6*d = 2*d + 5*c + 46. Is 9 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 4:21 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 210.69 + -210.672906. Round n to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-1 - (0 - -3 - 5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -920\/11 or -83?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u. Let x(w) be the third derivative of -11*w**5\/60 - 6*w**2. Give x(t(o)).\nAnswer: -99*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*m - 3*m + 4*m)*(-2*m + 4*m + 0*m) + (m + m**2 - m)*(-1 + 4 + 0) to c + w*m**2 + x*m and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 125 = 5*c, 7*p = 4*c + 2*p + 133. Let i be ((c\/4)\/9)\/3. Let h = 4.93 - -0.07. Sort -4, i, h, -3\/2 in increasing order.\nAnswer: -4, -3\/2, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1474 = -3*f + v, -3*v + 389 + 579 = 2*f. What is the smallest common multiple of f and 20?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.61 take away 119526376.662?\nAnswer: -119526355.052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1297414567 to the nearest integer?\nAnswer: 36020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 15, 34, 51, 66, 79, 90?\n\"Answer: -b**2 + 22*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11 - (5 + 168\/32). Let j = -4\/23 - -98\/299. Which is the second biggest value? (a) o (b) j (c) -1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -770 - -2.\nAnswer: -768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and -1319.3325604.\nAnswer: -1321.3325604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/30 and -52\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -91, 2, -1, -4 in increasing order.\nAnswer: -91, -4, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u + 9*u = 4*v + 15, 0 = -3*u - 2*v - 25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22346\/9 - 2486. Is b greater than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003983915 to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -u - 8, -4*z + 6*z - 54 = 5*u. Let h = -19 - u. Let v be (-6)\/27 - 47\/h. What is the highest common divisor of v and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 - 21. Let u be (-6)\/(-4) + (-7935)\/s. Let n = -313 - u. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 11:14 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 196*u + 16. Let l be n(2). Let x = -408 + l. Solve -3*f = f, p - 3*f = x for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 58, 121, 188, 259, 334, 413?\n\"Answer: 2*s**2 + 57*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 1288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 1650000 = -2*b. What is b rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57 + 100. Let s = -43.1 + x. Let k(y) = y + 2. Let m be k(-6). Which is the biggest value? (a) 2 (b) s (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36930760 rounded to the nearest ten thousand?\nAnswer: -36930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-134)\/(-4) + (-2)\/(-4). Suppose 0 = -o + 85 - 0. Calculate the greatest common factor of o and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cbwcbssbscc. Give prob of sequence csw.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -7324, -37, -1, -4 in increasing order.\nAnswer: -7324, -37, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g**2 - 18*g. Let z(q) = -3*q**2 - 17*q - 1. Let i(x) = 2*m(x) - 3*z(x). Let o be i(-15). Solve -4*w = o*y - 11, -13 + 3 = -5*w for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**5\/5 - 2*j**4\/5 + 7*j**3\/5 + 8*j**2\/5 - 12*j\/5 = 0.\nAnswer: -3, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*p - 3*w - 12 = 0, 0 = 3*p + 3*w - 30. What is the remainder when 46 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54.894 - -0.106. Let f = -54.917 - 0.083. Let t = f + p. What is the nearest to -0.13 in 2\/7, -1\/3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 29 - 21. Let l = o - -10. Solve 0*t + t = -5*x + 8, 2*t - 2*x - 4 = l for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94661, 94428, 94027, 93458, 92721, 91816, 90743?\nAnswer: 89502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -862529323*k**2 + 148031*k + 438 wrt k?\nAnswer: -1725058646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.1 (b) -1 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-32*m + 48*m + 125*m)*(-4 + m**3 + 4) - m**4 + 2*m**3 - 2*m**3 to k*m + c*m**4 + w*m**2 + z + j*m**3 and give c.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3 + 3 - 10*m. Let c(q) be the second derivative of -q**4\/12 + 9*q. Determine c(x(f)).\nAnswer: -100*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + t**2 - t - 2. Suppose 26*s = 23*s + 9. Let v be s + -2 + 3 + -2. What is x(v)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14810 is divided by 747?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13523 - 11872 = -5*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 4, -5\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -95894235 divided by -19178847\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 12 = 3*h, 0 = -2*h + 6*h + 5*i - 13. Let q be -5*h\/(140\/(-64)). Let o(l) = 3*l + 17. What are the prime factors of o(q)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 128773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1861?\nAnswer: 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 - 38.99999937. What is v rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 19371703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.67913082 rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35264 + 36231. Solve -v - 965 = -u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 97?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of c**3\/6 + c**2\/2 + 40*c. Let k be (-2)\/(-6)*-1 + (-10)\/(-3). Let u be -14*(k\/(-2) - -2). Determine j(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 59*s**2 + 4*s - 94. Let u(r) = -101*r**2 - 7*r + 157. Determine -12*j(t) - 7*u(t).\nAnswer: -t**2 + t + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16828 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -232 - -495. Find the second derivative of -q + 26*k**2 - k + 263 wrt k.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + -1)\/(-1*4)*0. Let c(l) = 1 + x - 8*l**3 + l**2 - 107*l + 106*l. Let r be 20\/30*(-6)\/(-4). Calculate c(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52)*-2)\/sqrt(4) + sqrt(13) + (sqrt(78)\/(-2*sqrt(6)) + sqrt(13))**2 + (-2*sqrt(7488) + 3)**2)*3.\nAnswer: -867*sqrt(13) + 359571\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -79 - -83. Let h be 5527 + ((-1)\/i - 9\/12). Is (-2)\/(-4) + 0 + h\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 6 (b) 0.09 (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*m*p**3 + 48*m - 283*p**3 wrt m.\nAnswer: 5*p**3 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 4:53 AM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 24 - -1568aa?\nAnswer: 156923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 613150050 divided by 49249?\nAnswer: 12450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of -65*i**2 - 2\/15*i**5 + 1\/6*i**4 + 0 + 4\/3*i**3 - 1\/30*i**6 + 0*i. Factor l(z).\nAnswer: -4*(z - 1)*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y - 6393 = -21522. Let l(t) = 1681*t - y*t - 12*t**2. Let q(j) = 17*j. Calculate l(q(n)).\nAnswer: -3468*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -1 + 77*k**2 + 2 - 26*k**2. List the prime factors of g(1).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + 2*s + 5*q = 8, -12 = -3*s + q for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01789491 rounded to 4 decimal places?\nAnswer: -0.0179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 256 = -2*g, 617*r - 618*r = -g - 87. Suppose 3*w = -w + 104. What is the remainder when r is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-92)\/(-115)*(-455)\/(-208)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21732418?\nAnswer: 2, 10866209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -248 by 31.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 5*z**2 - 6*z - 3. Let t be g(6). Let v(b) = b + 6. Let f be v(t). Solve -3*n = 2*y - 13, -y + 5*n - 15 = -f*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 235 (b) -0.5 (c) -3 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 31*i**2 - 55*i + 86. Let o be q(-29). Is 2\/12613 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000000001 (base 2) in base 4?\nAnswer: -20001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 948151 is divided by 92.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - ((-51)\/(-12) + -1). Let k = 259 - 2851\/11. Which is the closest to -0.1? (a) 0.1 (b) v (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven halves of a millennium in decades?\nAnswer: 3850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*p = -45, -78 = -6*l + l - 4*p. List the prime factors of 1030\/l - (-4)\/(-18).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 10*i - 1. Let g be j(5). Let n = 12 - -8. Suppose 0 = 2*w - 2*a + 5*a - n, 0 = -4*w - 2*a + g. Sort 1, 3, w.\nAnswer: 1, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -12475, -49942, -112389, -199816, -312223?\n\"Answer: -12490*q**2 + 3*q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (13 + -11) - (250 + -209)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 4*c + 5. Let f be h(5). Let o(r) = -2*r + f*r + 7*r. List the prime factors of o(2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25204 = 758*d - 59314 for d.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 8150, -7, -3 in ascending order.\nAnswer: -7, -3, 3, 8150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279 - 139 = -19*m. Solve 0 = 5*c - f - 22, 6*f + m = 3*c + f for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*t = m - 63243, -5*t = -4*m + 252954. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a factor of 291254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) -0.25854 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + 5 + (20 - 37) + 21?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 7*v. Let j(d) = -10*d + 5. Let p(l) be the second derivative of 5\/6*l**3 - 3\/2*l**2 + 15*l + 0. Let h(z) = -3*j(z) - 5*p(z). What is g(h(s))?\nAnswer: 35*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 8:30 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + -0.7. What is the closest to 1 in f, -2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1152 = 9*b - 17*b. Let k = 285\/2 + b. What is the closest to 0.5 in k, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/203443 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.7678214 litres?\nAnswer: 767.8214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1406.27918 rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3673 is divided by 230?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u - 58 = 22. Suppose 3*q = -2*o - 5, -q + 4*o = q - 18. Let f(y) = 17*y**2 - y. Let z be f(q). Calculate the greatest common factor of u and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -74.4 - -67. Let q = v + -2.6. Let t = -10.2 - q. Put 0.4, -2, t in decreasing order.\nAnswer: 0.4, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4843 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9190 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**3 - 149*x**2 + 606*x + 10548. Calculate z(69).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -5*t**2. Let u(b) = 9*b + 7. Let f(z) be the second derivative of 5*z**3\/6 + 2*z**2 - 4*z. Let m(n) = -7*f(n) + 4*u(n). Give m(i(y)).\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3625*i**3 + 4*i - 4*i + 0*i.\nAnswer: -3625*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/44)\/(4\/32*2)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i + 4. Let n(f) = -4*f - 3. Let d be n(-2). Let v be c(d). Is 11 a factor of 17 + (1 - (v + 0))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 628*k**2 + 181*k - 18. Is 38 a factor of t(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 5*o + 25, 2*l - 42 = o - 52 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 280 + -238. Suppose -i*h + 26*h = 0. Determine c, given that -2\/9*c**2 + 0*c + 2\/9*c**3 + h = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*g - 3*n + 15, 3*n = -5*g - 26. Let d(a) = 13*a**2 - 2*a - 5. Is d(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q - 0 - 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -13794 and -13794 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 11*w**2 + 8*w - 4. Suppose -5*u - 47 = 4*v, 1 = -4*v - 11. Let o be f(u). Let x = o - 256. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 3\/4*t**4 - 13*t**3 + 147*t + 105\/2*t**2 - 45. Factor f(o).\nAnswer: 3*(o - 7)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1569862919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 124987331?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(84\/(-8)) - 30\/(-7). Suppose 0 = p*l - 3 - 9. Solve 0*z = -l*z + 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1890 + 50b4?\nAnswer: 6984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 3:11 AM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-190\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, r: 9, b: 1}. What is prob of picking 3 r and 1 b?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -231536\/65 or -3562?\nAnswer: -3562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.842 to one dp.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22033 + -8350. What are the prime factors of h?\nAnswer: 3, 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 4385*v - 48702. Determine j(11).\nAnswer: -467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - 0) + ((-552)\/(-46))\/4?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25892?\nAnswer: 2, 6473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.1 - -4. Let t = 121\/205 + 2\/205. Which is the third biggest value? (a) -2\/13 (b) g (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/5)\/t**(3\/4))\/(t*t\/(t\/(t*t\/(t*t**(1\/7))*t))*t*t*t*t*(t**(3\/4)*t)\/t*t))**40 assuming t is positive.\nAnswer: t**(-2732\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1933.\nAnswer: 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + k = -1185, -k + 969 = 4*o - 6*k. Suppose -3*w - o = -7*w. Let l = 351 - w. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of l**7\/210 + 223*l**6\/120 + 53*l**3\/3 - 185*l**2 + l. Differentiate i(p) with respect to p.\nAnswer: 4*p**3 + 669*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 5, j: 2, a: 2, o: 4}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 + 4*l - 3. Let x = 17 + -19. Let w(d) = 2*d**2 + 4*d - 2. Let o(g) = x*c(g) + 3*w(g). Determine z, given that o(z) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130389*j**3 + 584*j - 584*j - 3.\nAnswer: 130389*j**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of 727*c**5\/2 - 275*c**4\/6 + c + 84. Find the third derivative of o(j) wrt j.\nAnswer: 43620","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express u**4 + 2 - 2 + (33*u**3 + 3*u**3 - 4*u**3)*(13 + u - 13) in the form t*u**3 + d*u**4 + m + b*u**2 + q*u and give d.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j + 2. Let a(f) = 24*f. Calculate a(h(d)).\nAnswer: -24*d + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.13 and -2466.9?\nAnswer: -320.697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2914.\nAnswer: 2, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.27207ng to micrograms.\nAnswer: 0.06127207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1968 is divided by 969?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -7*n - 5. Let g(k) = -6*k - 4. Let m(b) = -4*a(b) + 5*g(b). Let s(f) = -5*f**2 + 4*f**2 + 2*f**2. Determine m(s(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17183833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(14)\/(sqrt(7) + ((sqrt(49) + sqrt(196)\/sqrt(4))\/sqrt(7) - sqrt(7))) - (-4 + (sqrt(2) + sqrt(2) + -2 + sqrt(4)\/sqrt(2) + sqrt(2))**2))*4.\nAnswer: -264*sqrt(2) + 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42114*m**4 - 463245*m**3 - 1010637*m**2 + 1516320*m - 324 = 0 for m.\nAnswer: -6, 3\/14038, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3066147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 1092.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39 + 59. Let z = h - 6. Calculate the remainder when 40 is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -4*r**4\/15 - 38*r**3\/15 - 10*r**2\/3 - 16*r\/15 = 0.\nAnswer: -8, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 8. Suppose t + m*t + 53 = -c, 3*t = 5*c - 77. What is t rounded to 0 decimal places?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-14) - (-540)\/42. Let x = 15 - r. Solve -x*f - 13 + 3 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*g + 22*g**2 + 3*g**2 + 23*g - 85*g + 31*g.\nAnswer: 25*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4918 by -2459.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 295284130.1?\nAnswer: -295284134.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 465\/62*2\/10\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 0*y - 52. Let f(z) = 3 + 4*z - 9 + 7*z. What is the remainder when f(5) is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(171) - 2*sqrt(171)))\/(-4*sqrt(225)) - (-2*sqrt(1900)*-3)**2*4.\nAnswer: -273600 + sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**2 + 2*f + 27*f**4 - f - 2*f**4 to n*f**4 + x*f + v + i*f**3 + z*f**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -263776 - -386470. Let g = -352694 + o. Round g to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4 + r + 7*r + r**2 - 4*r. Determine u(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5294, 42228, 142484, 337724, 659610, 1139804, 1809968, 2701764?\n\"Answer: 5277*w**3 - w**2 - 2*w + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**2. Let l(q) = -141442*q + 215. What is l(h(o))?\nAnswer: 424326*o**2 + 215","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -352, -301, -246, -187, -124?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 2643485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = 2*o + 14*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000364314 to 6 dps.\nAnswer: -0.000364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**2 - 262*h - 8517. What is a(-69)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 2*z**2 + 47. Let s be h(0). Let i = 44 - s. Let b be 4 + (1 + i - -53). Calculate the greatest common factor of 11 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12435, -24911, -37431, -49995, -62603, -75255?\n\"Answer: -22*c**2 - 12410*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-12))**13)**(2\/39))**(-2\/11) assuming t is positive.\nAnswer: t**(16\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -42717291, -42717311, -42717331, -42717351?\n\"Answer: -20*x - 42717271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 4*x**3 + 3292*x**2 - 74552*x - 162240 = 0.\nAnswer: -845, -2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219*f = -191*f - 56. Let l be 2\/1 - 0\/2. What is the greatest common divisor of f and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 23790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -2 (b) -0.2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44.5 + 44.4. Let z = 4.6 + -8. Let c = z + 3. What is the smallest value in 0, m, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/6)\/(3\/18). Suppose -3*c - i = -10. Solve -j + 5 = c*h, -2*h - 2*j + 1 + 1 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 + (-7 - -14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 128348 and 192522.\nAnswer: 385044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p, 0*l + 5*p = -l + 6. Suppose -12*r - 17 = -53. Let v = -13 + 11. Sort r, l, v in descending order.\nAnswer: l, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -181647.4 - -180851.783. Let z = -796 - x. Let j = z + -0.047. Round j to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of 19\/2*z**2 + 1\/4*z**4 + 1\/6*z**3 + 0 + 8*z. Is q(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -8*l + 3*l. Suppose 5*t - l = -r, 0*t - 5*r + 15 = t. Solve -h - 1 = -t for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 20*d**2 + 11*d + 29. Let z(v) = 7*v**2 + 4*v + 10. Let m(w) = 6*l(w) - 17*z(w). Let u(a) = a**2 - 2*a + 3. Let p(j) = -2*m(j) + 3*u(j). Factor p(n).\nAnswer: (n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 7) to base 12.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 6:33 AM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 726 and 4906?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3 = 7, 2*t = -3*c + 22826. Suppose 29*r - c = 27*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.4, 6\/11, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 51816524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.023 - -10.\nAnswer: 10.023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 20976?\nAnswer: -1\/10488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -749*b**3*i**2 - 111*b**3*i*j**3 - 2*b**3*i*j**2 - 57*b**3*i*j - b**3*i + 2551*b**2*i**2*j**3 + 14*b*j wrt i.\nAnswer: -1498*b**3 + 5102*b**2*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of 1\/10*m**4 + 2\/25*m**5 - 2\/15*m**3 + 7 + 0*m**2 + 0*m - 1\/15*m**6. Factor o(k).\nAnswer: -2*k**2*(k - 1)**2*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 21 (b) 4 (c) -5 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -106*q**2 - 1905*q + 70. Give g(-18).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**3 - 2*n**2 + 2*n - 2. Let t be g(2). Let p be (3\/(-6))\/(3\/t). Let w be 17\/4 - p\/(-12). Solve 3*h + 13 = w*k, 0 = 3*k - 2*h - 1 - 8 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16665343?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - x. Let f be t(0). Suppose p = -f - 4. Let v(n) = 4*n + 6*n**2 - 13*n**2 + 8*n**2 - 3. What is v(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + 9. Let z = -34 - -68. Let k = 50 - z. Calculate the highest common divisor of k and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -4*p + 3606, 10*p + 4*s = 6*p + 3588. Suppose -720 = -4*x + k, -x + 3*k + p = 4*x. Is 36 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -49 (c) 72 (d) 0.1 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4479413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven halves of a millimeter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -0*v - 3*o + 213, 0 = -v - 2*o + 57. Is v a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2928483.\nAnswer: 3, 107, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 11:29 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 621 - 646 = -5*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.295872km to meters.\nAnswer: 6295.872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(847)*2 - sqrt(847)))**2 + (-1 + sqrt(847) + 2)**2 - (-4 + 3*sqrt(112) + 0).\nAnswer: 10*sqrt(7) + 1699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4236 divided by 6.\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 55.21573 millilitres?\nAnswer: 0.05521573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + 0*b + 5*b)*(-b - 3 + 3)*(-3*b**2 - 3*b**2 + 5*b**2).\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d. Let o(f) = -4 + f**2 + 7*f**2 - f**2 + 4*f. Let v(l) = -8*l**2 - 5*l + 5. Let q(y) = 5*o(y) + 4*v(y). What is p(q(u))?\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.2433*23.647\nAnswer: 5.7533151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 3:19 PM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123822 (base 10) to base 2.\nAnswer: -11110001110101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*3\/(-21)*-12*210\/240.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042562908 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 33 - -4 - 55 - -51\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -162 (base 9) to base 14\nAnswer: -9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -93*t - 232*t - 680*t - 5025 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 14. Let y be q(0). Let s = y - 10. Calculate the common denominator of -64\/3 and (-22)\/s - (-1)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 358.42 - 103.56. What is g rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 259 less than 10177.2924084?\nAnswer: 9918.2924084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11423, 11422, 11421?\nAnswer: 11420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rhm when three letters picked without replacement from {h: 2, r: 1, m: 1, x: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (-16 - (-5 + 4 - 7))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -1243*w**3 + 91*w**2 - 3*w - 9. Let q(p) = -3729*p**3 + 273*p**2 - 8*p - 24. Let f(o) = 8*l(o) - 3*q(o). Find the third derivative of f(h) wrt h.\nAnswer: 7458","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -138, -3 in descending order.\nAnswer: 3, -3, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -423 = -18*h - 585 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2212, 2214, 2216, 2218, 2220, 2222?\nAnswer: 2224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 23355 - -139727\nAnswer: 163082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -114140 (base 7) to base 3.\nAnswer: -1001100002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -5 (b) 5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f - 17*f - 4 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 times -3?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2683280 and 160?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/10 + 5*s**2\/2 + 28*s\/5 - 22.\nAnswer: (s - 2)*(s + 5)*(s + 22)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - y**2 - y - 1. Let o(u) = 3*u**3 - 15*u**2 + u + 2. What is n(c) + o(c)?\nAnswer: 2*c**3 - 16*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2*-7580.6\nAnswer: -15161.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (7 - 9)\/2*-1701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27477714 and 2673.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -8*v + 6. Suppose 0 = 4*r - 11 - 9, -3*u = -v*r + 427. Let x = 223 + u. 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: Is 11364107879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219 is divided by 33.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23.43 - -23.4279062. Round c to 4 dps.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -509 - -863. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1468 - 443?\nAnswer: 1025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 237563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -9. Let r(w) be the first derivative of -w**2\/2 + 3390. What is r(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/29190 and 64\/3756753?\nAnswer: 37567530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212 (base 3) to base 9.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -s**3\/18 + 125*s**2\/12 + 86*s + 3630. Factor w(p).\nAnswer: -(p - 129)*(p + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t + 3. Let g be m(0). Suppose -2*y + 362 = y + 4*d, 2*d = -g*y + 364. Which is bigger: 124 or y?\nAnswer: 124","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38844?\nAnswer: 2, 3, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/10 in 0, 3251, -2.4, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, 148, 231, 320, 415, 516?\nAnswer: 623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 480.831 micrograms to milligrams.\nAnswer: 0.480831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + -43 + 28 + 19.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*j - 62*j + 48112. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*893754.\nAnswer: -178750.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 81*r + 323. Determine n(80).\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dmyd when four letters picked without replacement from {y: 1, b: 5, m: 1, d: 2}?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -163, -173, -181, -187?\n\"Answer: x**2 - 13*x - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -8*v + 1. Let m(g) = 163*g - 3263. Let n be m(20). Let i(u) = -23*u + 2. Determine n*i(k) + 8*y(k).\nAnswer: 5*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - ((-14 - -7) + 11)) + 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 0*t + 4*t**3 + 0*t**5 + 1 + 1\/180*t**6 + 0*t**2 + 0*t**4. Let s(c) be the third derivative of h(c). Calculate s(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1761*v - 1754*v - 49 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -63 - -62.5. Let m = 0.05 - 1.55. Let y = m + f. Is y >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 - -0.4. Let o = -2666 + 2667. Which is the third smallest value? (a) -4 (b) q (c) -2\/5 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2779.775 + 182.7725. Let m = 2593 + v. Let n = -4 - m. What is n rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5433 - -55.017454.\nAnswer: 5488.017454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2. Suppose -5*y + 8*y = -18. Let f(h) be the third derivative of h**4\/24 - 5*h**2. Let c(s) = 4*s. Let j(l) = y*f(l) + c(l). Calculate j(d(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 1175070?\nAnswer: 1175070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 352727, 352690, 352613, 352496, 352339, 352142, 351905?\nAnswer: 351628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19.2 + -1.2. Let o = -17.964 + v. What is o rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (13\/((-2639)\/28))\/(7\/4). Let p = v + 8809\/1015. Let y(n) = -n + 11. Let i be y(2). Are i and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46657468 or -46657473?\nAnswer: -46657473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(1*(52\/6)\/(-13))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((14 - 14) + ((-66)\/27 - -2))*(-57)\/(-2)?\nAnswer: -38\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70)\/805 + 29\/69 - (-177)\/9?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.977 + -5.93. Is b less than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81375*o + 290*o**2 - 287*o**2 + 368721*o.\nAnswer: 3*o**2 + 287346*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 = -135*d + 132*d - 8*h, 0 = 2*d + 3*h + 29 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, y: 1, h: 3, z: 2}. Give prob of sequence hy.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/10)\/((-1)\/10). Suppose 2*f = -h + 70, -f = t*h - h - 220. Suppose -h + 6 = -2*n. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/3 (b) 17021 (c) -2.74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3325456794?\nAnswer: 2, 3, 11, 23, 199153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q**2 + 4*q**3 + 3*q + 5*q**3 + 4*q**3 - 7*q + 5*q + 5. Let o(g) = -20*g**3 - 8*g**2 - 2*g - 8. What is -8*c(t) - 5*o(t)?\nAnswer: -4*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -1 (b) -0.02 (c) 2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 440118.\nAnswer: 2, 3, 7, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.19 - -13. Let s = -5.3 + y. What is s rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45844900*p**2 + 2*p - 18602435.\nAnswer: -91689800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jtttjtttjj. What is prob of sequence tjt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q - 345. Give m(7).\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.13392 millennia in centuries?\nAnswer: 171.3392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6951*-52.4.\nAnswer: -364232.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence odt when three letters picked without replacement from {d: 8, q: 8, f: 2, o: 1, t: 1}.\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 7*r + 6. Let c(q) be the third derivative of -q**3\/6 + 2573*q**2. What is -5*c(y) - d(y)?\nAnswer: -7*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 391 = -15. Let d = o - -304. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4832 - -6819. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 117*y**4 + 2*y**3\/3 + 61*y - 436. What is the third derivative of o(b) wrt b?\nAnswer: 2808","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 + 16 = 4*s. Let g be 2\/s + (-8)\/(-76). Solve -6*u - 7 - 11 = g for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.4, -5, -4, 43 in decreasing order.\nAnswer: 43, -1.4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2356 times -3214\nAnswer: -7572184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5*j + 79 = -56, -246 = 4*m + 2*j. Find the common denominator of -21\/8 and (-304)\/42 + m\/(-105).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 2*k**2 + 3*k)*(k**2 - 5 + 5).\nAnswer: 2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1765 take away 1361186791?\nAnswer: -1361185026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13806 * 6.\nAnswer: -82836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -5*d - 2*g, -29*g = -186*d + 189*d - 61 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18615824.\nAnswer: 2, 167, 6967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177013*f - 2000 = -177139*f - 362 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125)\/sqrt(5))\/sqrt(5) - sqrt(50)\/sqrt(490)) + 0.\nAnswer: 6*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3250 + 3503. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/1 + -2 + 267\/57. Let r = -109\/285 - w. Let z(c) = c + 2. Let f be z(-3). Are f and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, x: 8}. What is prob of picking 3 v?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 397 - 51 = -4*h, 5*h - 557 = -4*z. Let j = h - 19. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 12*s**2 - 127*s + 67. What is l(10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 85.834 - 57.885. Let x = 230.141 + y. Let k = -260 + x. What is k rounded to 1 decimal place?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -29137*g + 58355. What is x(2)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = -w - 490. What is the common denominator of (-57)\/(-70) + 6\/21 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84220, 84195, 84156, 84097, 84012, 83895, 83740?\nAnswer: 83541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w**3 + 3 - 6*w + 4 + 8 + 13*w**3 + 4*w**2. Suppose 3*s = -0*s - 27. Let x be m(s). Round x to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(-172 + 172 - 5*x)*(x**4 + 0*x**4 - 2*x**4 + (-2*x**3 + 5*x**3 - 4*x**3)*(-5*x + x + 3*x) - 2*x**4 + 2*x**4 + x**4).\nAnswer: 5*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 385?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvmvvvvvmvvvmm. Give prob of picking 2 m and 1 v.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -262 - -271. Let v(j) be the first derivative of j**2\/2 - 6*j - 1. Let x be v(l). Sort 4, x, -5.\nAnswer: -5, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 5*t = 29 - 28, t - 1 = -z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-6)*((-1)\/20)\/(527\/(-12648)))\/(-46)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*c - 17*c = 48. Solve c*h - 8 = 4*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -1100111111?\nAnswer: -1101000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11f (base 16) in base 13?\nAnswer: -191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**5\/2 + 3*b**3\/2 = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 936 and 546.\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 6:48 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -336033 divided by -233\nAnswer: 336033\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -177 + 177.2. Which is the closest to -0.1? (a) 0.8 (b) -0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 11:51 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -6*j + 12. Let n be r(-10). Suppose a = -2*a + n. Suppose 3*d - 36 - a = 0. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from skthhym. What is prob of sequence hy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -6*q. Let p be m(-1). Let g = p + -3. Calculate the remainder when 11 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1721 divided by 1\nAnswer: 1721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(-2\/7)*i)*i)\/i**(-1\/4))\/i**(13\/5)*(i**33)**(1\/46) assuming i is positive.\nAnswer: i**(-1117\/3220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -t + 2*t. Suppose w - 3*w - 25 = -5*p, w - t*p = -20. Differentiate 3*k**3 + w + 2 - 5*k**3 with respect to k.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 67, 71, 87, 121, 179, 267, 391?\n\"Answer: i**3 - 3*i + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**3 - 1905 + 949 - 2*y + 2*y + 947 + 5*y**2 to the form s*y**2 + j + h*y + q*y**3 and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q - 3*q**2 + 4*q**2 - 2*q**2 - 2. Let s(l) = -42*l + 40. Let u be s(1). Determine k(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2976*k + 715. Is d(-23) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -s + 2, -2*b - s + 22 = 0. Let r = b - 5. Solve 2*y - 3 = r*u + u, -5*y = 2*u + 7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**2 + h + 7. Let m(g) = 2*g**2 + 8*g - 42. Let k be m(-7). Let j be v(k). Solve 3*t + j = -2*q + 2*t, -4*t = q - 7 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 15 = 8*j. Put j, 5, 2 in ascending order.\nAnswer: j, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177604309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4197, -6, -5, -1253 in ascending order.\nAnswer: -1253, -6, -5, 4197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -5*h**3 - 2*h**2 - 6*h - 5. Let s be c(-3). What is the greatest common divisor of 10 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d - 3. Let i be k(-2). Solve -2*u = m - 8 + 1, -i*m - 2*u = -5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13\/22 - -401\/660. Let q(r) be the third derivative of 0 + 4*r**2 + 0*r**3 - c*r**5 + 0*r**4 + 0*r. Let h(z) = -8*z**2. What is h(q(w))?\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -105\/2*w**4 + 57\/2*w**2 + 0 - 19\/2*w**3 + 9*w + 49\/2*w**5 = 0.\nAnswer: -3\/7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = y + 4*n + 76, 0 = -y - n + 16. Let i = 3 + 5. What is the remainder when y is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51543345 by -747005.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1017148271 to 5 dps.\nAnswer: 0.10171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 920 (b) 150 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10 + -1 + 3 + 0. Let v(a) = -6*a + a - w*a - a. Let k(j) = 2*j**2. What is v(k(x))?\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26411132 and 11792?\nAnswer: 2948","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30904218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/6 - 31\/3. Let t = f + 6. Let u = 27.8 - 28. What is the second biggest value in t, 5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1388, -109 in decreasing order.\nAnswer: 1388, -5, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a day in minutes?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7\/3 (b) 0.1 (c) -21 (d) -4 (e) 5 (f) 0.1811\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -80*b + 3. What is t(-2)?\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51428 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g - 2*g + 1 - 2*g + (-2*g + 0 + 0)*(-4 + 14 + 0) as f + a*g and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + (20 + -23 - -60)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -39 + 37 + -30 + 8 - -3.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 33 = 6. Let w = 56 + o. Calculate the remainder when w is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, r: 2, f: 2}. What is prob of picking 2 r and 2 f?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 17*m**2 - 35*m - 28. Let y be q(-16). What is the highest common divisor of y and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-15*42\/(-140)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*h + p - 22, 5*h - p = 50. Suppose 2 = 5*v - 2*k, v + 5*k - h = 12. Suppose -v*w + 192 = 4*w. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9 - 16) + 12\/(-3). Let n = 18 - r. Let v = 121 - n. List the prime factors of v.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 2 + 6)*(91 + 21*i - 91) + 4*i - 3*i + 0*i)*(-7 + 7 - i).\nAnswer: -22*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89763?\nAnswer: 3, 29921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fhh when three letters picked without replacement from fhfhf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11.454 from -4.\nAnswer: -15.454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38491 is divided by 12764.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r**3 - 5*r**2 + 9*r - 41. Let g(p) = -3*p**3 + 6*p**2 - 10*p + 40. Let v(s) = -5*g(s) - 6*q(s). Differentiate v(c) with respect to c.\nAnswer: -27*c**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 962538226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6972, -6976, -6980?\nAnswer: -6984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*k = -4*o + 1, -16 = -5*k - o. Let r be (-2)\/4 + (3 - (-4)\/(-8)). Is k < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 + 2*c)*(-2*c - 1 + 1) + 4 - 4 + c**2 - 2*c**2 + 4*c**2 - 4*c**2 - 7*c**2 + 3 - 3)*(21*c**2 - 21*c**2 - c**3).\nAnswer: 12*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrhrrvrhrhra. What is prob of sequence ar?\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 56 + 10. Suppose -3*q - 44 = 4*o, 5*q = -7*o + 4*o - a. Let x(g) = -g**3 + 24*g**2 + 97*g - 1169. Let d be x(26). Is d < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-330)\/(-88)*-2*(-1)\/(-5)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 + -36. Let r(u) be the second derivative of 2*u - 1\/30*u**6 + 0*u**5 + 0*u**z + 0 - 1\/6*u**4 + 0*u**2. Find the third derivative of r(h) wrt h.\nAnswer: -24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 12 = -0*i. Let o be (-49)\/i - ((-5)\/2)\/5. Find w such that 4 + 5*w**3 + 4*w**2 - o*w + 6 + w**2 + 5 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 4 + (1*(sqrt(1216) + 1*sqrt(1216)) - (sqrt(1216) + -2*sqrt(1216)*-2))*1 + -1 + -4)**2.\nAnswer: -96*sqrt(19) + 10948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234870.\nAnswer: 2, 3, 5, 7829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 393?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2783*-5\nAnswer: -13915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1523*q - 1694*q = -1881. Solve -q = -15*r - 41 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3 = 12. Let y be (0\/(-2))\/a - -10. Let s(p) = -p**2 + 12*p - 14. Let x be s(y). Solve -3*u - 4*c + 10 = -x*u, -4*u + 4 = -c for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-690336)\/(-5760) - ((-3)\/(120\/206) - -5)\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6327*c - 114439 - 79646 + 873 - 21906 = 0 for c.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (71*z - 71*z - 15*z**2)*(-36*z + 36*z + 36*z**3).\nAnswer: -540*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 2*y**2 - y. Let r be f(-2). Suppose 28 = b - 5*n, -4*n - 21 = -r*b + 17. What is the highest common factor of b and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1944622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/1 - 0) + -1. Which is smaller: w or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, -1.8, 0.05 in descending order.\nAnswer: 4\/5, 0.05, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of b**5\/20 + 5*b**4\/24 - 3*b**2\/2 - 7*b. Let s(q) be the first derivative of c(q). Find the second derivative of s(d) wrt d.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 21*b**3 + 2*b**2 - 4*b + 10. What is r(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 769 - 2*m + 8715 - 2829 + 5798.\nAnswer: -2*m + 12453","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38299?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12745 - -12746. Is g less than or equal to -11\/335?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1246*q*y**4 + 30*q*y + 3*q + 3*y wrt y.\nAnswer: -14952*q*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*h = 57*h - 5*d - 19, -13 = h + 3*d. What is the highest common divisor of 5 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2361817 divided by -2\nAnswer: -2361817\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + u + 1. Let j(q) = -18 - 21 - 3*q + 47 - 11. Calculate j(k) + 3*o(k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a**2 - 59 - 6*a + 59 as s + w*a**2 + v*a and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -944.4 + 960. Let o = k + -15.5. Let s = 0.04 - 0.44. What is the nearest to o in -5\/2, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/4*(11 - 595\/55)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y = 5*y - 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -5*s - 51, -2*c + s = -4*c + 29. Let t be c\/2 - 236\/(-295). Let -12\/5*i + t*i**3 - 42\/5*i**2 + 24\/5 - 9\/5*i**4 = 0. What is i?\nAnswer: -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 156293192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/576 and 61\/36.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-65) - (-11 - -11)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-32) - (-51)\/12. What is the remainder when 53 is divided by ((-14)\/q)\/((-12)\/48)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3450 and 600?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -147*x + 3. Calculate j(-1).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 t when four letters picked without replacement from {t: 5, y: 5, h: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i = 17*i + 8. Find h, given that -h**3 + 91*h**2 + 2*h - 2 - 4*h**4 - h + 3*h**i - 177*h**2 + 89*h**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/5*(-7400)\/108780 - 2\/(-7)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 226.39155 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21905582 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -9. Let r = 88 + -72. Let x(a) = -a**2 + 18*a - 28. Let b be x(r). Solve -i*k = -2 - b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rnp when three letters picked without replacement from {c: 1, p: 1, n: 2, r: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -367*c = -2*p - 365*c + 22, 0 = -p - 3*c + 7. Solve 0 = t, -6*q + t = -11*q - p for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 87 = 3*a, 3*w - 2*a - 53 - 13 = 0. Suppose w = -c + 29. Suppose c*g - 82 + 7 = 0. Is g <= 81\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, -78, -331, -762, -1413, -2326, -3543?\nAnswer: -5106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -121 - -124. Suppose f*o = 15, -5*u + 196 + 19 = -2*o. Is u a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(-1)*a**(-6\/29)*(a*(a\/a**38*a*a)\/a)**(-32))**48 assuming a is positive.\nAnswer: a**(1560144\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3066620 + -1?\nAnswer: -3066621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -9*w**6\/4 + 153*w**5\/10 - 69*w**4\/8 - 125*w**3\/6 + 26*w**2 - 10*w - 21. Suppose m(g) = 0. What is g?\nAnswer: -1, 1\/3, 2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 17 - (-2 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4732837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -9, 2, 1\/2, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 683090090?\nAnswer: 2, 5, 17, 19, 79, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4226 + 1250 = -96*c for c.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 5*r - 15. What is c(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 11.98. Let s = -0.02000025 + p. Round s to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 0*c + 2*c)*(-7*c**4 + c - c) + 2*c**5 + 5*c**5 - 3*c**5.\nAnswer: 11*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2713 + -1890. Does 74 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1476 + 1476.21. Are 37 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1104 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: Let c = 581 - 510. Suppose c*t - 79*t = -40. Solve 4*d - 5*q = -1 + 13, -4*d - t*q = 28 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 649.0599 meters?\nAnswer: 0.6490599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 622 is divided by 82.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (-45)\/5*1. Let v be (825\/20)\/p*4. Let k(j) = -j - 7. Determine k(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z**(-1)\/z)))**15*(z*z**0)**(4\/31))**(1\/5) assuming z is positive.\nAnswer: z**(-926\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30\/139 - -151\/7784. Let r = -37\/11 - -329\/88. Let n = r - i. Which is bigger: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4*j**3 - 46*j**2 + 71*j + 860. Let i(z) = -4*z**3 + 44*z**2 - 70*z - 864. Let m(l) = 6*a(l) + 5*i(l). Factor m(k).\nAnswer: 4*(k - 10)*(k - 7)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8041876l to millilitres.\nAnswer: 804.1876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.12 and -0.058?\nAnswer: 0.00696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 833856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 30\/5 - 2*1. Suppose -w + b = w. Suppose t = -3*t - 2*v + 24, -w*v = -2*t. Let x(s) = -s**2 + 5*s + 1. What is x(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**2\/9 - 700*c\/9 = 0.\nAnswer: 0, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8892205120.6445341 - 12880314008.64453566. Let k = 3988108811 + m. Let l = -77 - k. What is l rounded to 7 dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -16 - (-1 + 1 + 1 + -12).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/2*(1 + 24). Suppose t - a = 6*t. Let f = t + 4. Are 0 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 4282*k + 42706. Calculate d(-10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 10:58 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5289 or -259179\/49?\nAnswer: -259179\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 372201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 6*p**2 - 3. Let q(m) = 2*m**2 - 1. Let z = 0 + -6. Let t(d) = z*r(d) + 17*q(d). Find the first derivative of t(x) wrt x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((99\/(-2))\/3)\/((-202)\/(27876\/1242))?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 533386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19097718?\nAnswer: 2, 3, 29, 41, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - d = 44, -37*b - d - 458 = -158 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 281 minus -1061.90779?\nAnswer: 1342.90779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w - 1. Let i(y) = -76*y - 2. Calculate i(z) - 2*o(z).\nAnswer: -74*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265765?\nAnswer: 5, 23, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2641 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -209825000 to the nearest 100000.\nAnswer: -209800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 3*u - 5. Calculate w(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6173, -12695, -19217?\n\"Answer: -6522*g + 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 1:50 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -159389 divided by 217\nAnswer: -159389\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 48*h**2 + 6*h - 5. What is the tens digit of y(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 34*b = 33*b + 30, -30 = 2*j - 4*b for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101 (base 3) to base 16.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -485 + t + 485. Let h(s) = 406*s. Give h(p(q)).\nAnswer: 406*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -1, -33, -14, 11 in decreasing order.\nAnswer: 11, 10, -1, -14, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129231448.\nAnswer: 2, 433, 37307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -334*k + 334*k - 74469*k**2 - 74401*k**2 + 148919*k**2.\nAnswer: 49*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3236.7 - -3237. Put 0.5, 0.4, -9, -0.15, w in descending order.\nAnswer: 0.5, 0.4, w, -0.15, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + 4 + -2)*(280\/(-20) + 15).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 0, 11 in descending order.\nAnswer: 11, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 864 + -870 - (1 - -1 - 2) - -57\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 75815 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -0*i - 5*i. Suppose -7*j + 6 = -5*j. Solve 4*n + j*w - i = 0, n - 1 - 5 = -w for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (145\/(-290))\/(3*(-9)\/(-6534)).\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -67761*b**4 + 2*b**3 - 38321 wrt b.\nAnswer: -271044*b**3 + 6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 147*a**3 - a**2 - a + 2. Let c be l(1). Let b = 110 - c. Let q = 64\/15 + 1\/15. Calculate the common denominator of b and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence io when two letters picked without replacement from {o: 4, i: 3, j: 1, q: 4, v: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 b when two letters picked without replacement from {c: 4, b: 2, o: 1, l: 2, u: 3, g: 2}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 6*s + 3. Let o be m(4). List the prime factors of 77 + (4 - (o - -6)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 3 + 2 + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20985536 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: What is 13640781 - -18.062?\nAnswer: 13640799.062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -4256*n**2 - 800*n + 480. Let o(s) = -s**2 - 5*s + 3. Give 2*f(m) - 320*o(m).\nAnswer: -8192*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 1236 = -w, -w + 300 = n - 3*w. Suppose 1980 = -4*s + n. Is s\/(-6) - 2\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -1. Suppose -55 = -10*m - 5. Let a be -2 + (-7)\/(-1) + (-23 - -20). Solve 0*y = y - a*l + 6, -y - m*l + 22 = r for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1.59, -0.04, 3\/7.\nAnswer: -1.59, -0.04, 3\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46 - -12. Suppose 0 = 7*n - 2*n - 20. Let z = n - a. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 431535460 to the nearest integer?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12481017 (base 9) to base 10.\nAnswer: -6135280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 1841. Is q(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23190590 to the nearest 1000000.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4*-3)\/(5*17\/(-1700))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**4 - 60*p**3 - 288*p**2 + 1296*p.\nAnswer: 4*p*(p - 18)*(p - 3)*(p + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4*21\/(-3164)*(-1590 + 1591)\nAnswer: -3\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2576 and 156814?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53*r**3*w**3 - 2*r**3*w**2 - 8*r**2 + 28*r*w**3 wrt r.\nAnswer: 318*w**3 - 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280347.\nAnswer: 3, 17, 23, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (57\/684)\/(120\/800)\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l + 14. Let y be s(-11). Solve 5*a - 2 + y = 4*o, -3*a = 9 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5434945 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*p + q + 2, 5*p - 27 = -3*q. Suppose -p*i = -2*s + 6, -3*s + 12 = s - 2*i. Suppose s*h - h = 4. What is the smallest value in h, -5, 3\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/6*2\/(-10)*-6. Let a(y) = 2 - f - 16*y**2 + 1. Calculate a(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 3:51 PM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 78 - 78. Suppose 2*t = r, 2*x - 4 = 4*t + 2. Find i such that -2*i**4 - 2*i**x - 26*i**2 - 32*i**2 + 8*i + 66*i**2 = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 + -66 + (-1 - 1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -560069 and -253.\nAnswer: 141697457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 divided by -15?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 394 = g, 0 = 2*g - 2*r - 3*r - 773. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37989438 to the power of 1\/4, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t + 5653. Let j be h(54). What is the highest common factor of 13 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11990 and 4.\nAnswer: 23980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + (sqrt(300)*1 + -1 + sqrt(300))*-5)**2.\nAnswer: -8000*sqrt(3) + 120400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9069793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*i - 4288 = -6697 for i.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07355 rounded to 3 decimal places?\nAnswer: 0.074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242160963?\nAnswer: 3, 11, 7338211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1541 - -2440. What are the prime factors of k?\nAnswer: 3, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 + 4*k - 3. Calculate the least common multiple of u(-5) and (-30 + 48)\/(9\/12).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + v = -22, 2*v + 2*v = -16. Solve 3*n + 2*h = 18, -4*n + r*h + 19 - 12 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (200\/(-70))\/(-2*3\/63). Suppose -3*f = -4*f - 191. Let j = f - d. What is j rounded to the nearest 10?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 1103200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*f - 5*a - 387 = 0, 3*a = f - 129. Is ((-152)\/(-6))\/4*f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1024350 or -1024315?\nAnswer: -1024350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5002?\nAnswer: 2, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -52 - (22 - 24) - -7 - (3 + 2 + -1)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -149, -296, -443, -590?\n\"Answer: -147*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 + 2*v + (2*v - 3 + 3)*(16 - 9 + 11) + 4*v - 2*v - 4*v)*(-2*v**2 - 4*v**2 + 3 + 5*v**2) to the form o*v**3 + x + a*v**2 + p*v and give p.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -8, -7, -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10723 is divided by 338.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o + 8. Let t be l(-6). Let s be (t\/2 - -3) + -1. Suppose 5*x + 3*a = 523, 3*a - 3 + s = 0. List the prime factors of x.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 - (-3 - -2) - -134 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1651269601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187593 is divided by 194.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 6*y - 19. Let a be h(-8). Let s(t) = -4. Let r(f) = -f + 3. Determine a*r(v) - 2*s(v).\nAnswer: 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1491595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 490378328 divided by 655586?\nAnswer: 748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 s when three letters picked without replacement from {s: 11, k: 5}.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186315503?\nAnswer: 11, 16937773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) -1\/6 (c) -1\/2 (d) -4 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48 + -17. Suppose 4*a - 5 - l = 0. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 87\/65407?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3849779?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 253 and 138?\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) + 3 + (sqrt(1331) - 5*sqrt(1331)))*-3)**2.\nAnswer: -1728*sqrt(11) + 101457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1205327?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 5) in base 11?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7157, -7144, -7131, -7118?\n\"Answer: 13*t - 7170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i**(-1)\/i)\/i)\/i*i\/i**(1\/3))**20\/((i\/(i*i**(-2\/5)\/i*i*i))**4\/(i**(-1\/8)\/((i*i**(-3))\/i))) assuming i is positive.\nAnswer: i**(-4967\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 e when four letters picked without replacement from {x: 1, e: 12, f: 3}?\nAnswer: 99\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-25 - -9 - -7) + -14\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 3:36 PM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -16, 4, 0, -1 in descending order.\nAnswer: 4, 2, 0, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 6*v + 4. Let k be g(-10). Suppose -2*l - 36162 = -k*l. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/13806 and 227\/1932840.\nAnswer: 1932840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -15. Find the second derivative of -2*a - a - 2*a**4 + 12*a - a**x wrt a.\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*(sqrt(11) + 0) + sqrt(88)\/(sqrt(32)\/sqrt(4))))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8*(-15)\/(-8)*9\/9. Solve -12*i + m*i - 24 = 0 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 0.5, 0, 1, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 80852*o**3 - 3*o**2 + 5*o - 1. Is n(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1911 - 5731\/3. Suppose 2*f - 1 = 3. Solve -1\/3*o**4 + w + o**f + 1\/3*o**3 - 5\/3*o = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7128, 7121, 7122, 7143, 7196, 7293, 7446?\n\"Answer: 2*p**3 - 8*p**2 + 3*p + 7131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 13*f + 250. Determine o(-8).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1336)\/28724 - 485296\/43. What is i rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 861561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.327 - 12.26. Let t = x + -0.067. Let h = -2.2 - -2. What is the closest to h in 2\/5, -0.1, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4*sqrt(9)*2)\/(-3*sqrt(108))*-2)**2.\nAnswer: 256\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -27*r**2 - 348*r + 53. What is g(-13)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 718148200 and 1925.\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -1188*g**2. Let b(c) = -5*c. Calculate b(p(n)).\nAnswer: 5940*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.012 in 2, 2\/5, 5231?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4056496 and 208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -235\/4 - -59. Let a = 2.7 + 0.3. Put s, a, 5 in descending order.\nAnswer: 5, a, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 440 = 5*q, 6*s + 352 = -4*q + s. Is 56 a factor of (89 + q)*(0 - -2*199)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 15861792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -100. Suppose i + 4*w = 6*w + 17, -3*i = 4*w - 21. Calculate the greatest common divisor of i and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13672 + 13670 - 599*h - 308*h - 465*h in the form d + n*h and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-4 - (-2 + -4 + -2)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 19*(-1)\/(-5) + (-19)\/(-95). What is the second derivative of 4590*j**t - 33*j + 2 - 4596*j**4 - 1 + 4*j**3 wrt j?\nAnswer: -72*j**2 + 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(136) + sqrt(136)*-2*3 + sqrt(136) + sqrt(136)))\/((-3*sqrt(392) - sqrt(392))*3).\nAnswer: -sqrt(17)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 4:59 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4*x - x - 35, 0 = 3*d - x + 89. Let o = -22 - d. Calculate the highest common factor of o and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 668681.9ml in litres?\nAnswer: 668.6819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r**2 - 1. Let w(x) = 12*x**2 - 4*x + 6. Give -2*n(s) + w(s).\nAnswer: 2*s**2 - 4*s + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -162*(-244)\/(-13176)*1\/(-42).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2160 divided by -432\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1547238236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-9))\/m*m)**3*(((m\/m**(-3))\/m*m)\/m)**41 assuming m is positive.\nAnswer: m**153","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 2)*(-70*o + 60 - 60).\nAnswer: -280*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 10\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**2 + 0*i**2 - 2*i**2)*((3 - 9*i - 3)*(-3 + 1 + 1) + 5*i - i - i).\nAnswer: -72*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -13*u**3 + 4*u**2 + 2*u - 5. Let h(y) = 26*y**3 - 7*y**2 - 4*y + 12. Determine 2*h(j) + 5*v(j).\nAnswer: -13*j**3 + 6*j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -2, 3, 6\/43, 6714?\nAnswer: 6\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b + 3 - 3. Let y(t) = 115*t - 61*t - 58*t. Give r(y(w)).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10ed3 (base 16) to base 6.\nAnswer: -1252551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*r - 1 + 81917*r**2 + 1 - 81916*r**2.\nAnswer: r**2 + 24*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -2) + 0 + (12 - 12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 821233070?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4790 and 2959970920.\nAnswer: 4790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23604)\/(-12364) - (-3570)\/66.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.4, 18.74, 2, -8, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 4:41 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -26*q - 39. Let r be w(-6). Let s = 120 - r. Which is the nearest to -0.1? (a) -2\/5 (b) -3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-6) - (-1)\/(-2). Suppose z*u = 2*u. Let p = -3 - u. Which is the smallest value? (a) -2 (b) p (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(567) + sqrt(567) + 0 - sqrt(567)) + -5*(1 + sqrt(567)))**2 + 0.\nAnswer: 504*sqrt(7) + 9121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (264\/(-9) - -1)\/((-10)\/2010). Is 5695 equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 times -11\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -120*h**3 - 132?\nAnswer: -360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -5*a**4 + 3*a**5 + 12*a - 3 - 10*a**4 + 16*a + 30*a**3 - 13*a - 30*a**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -21*a**4 + 6*a**3 - 6*a**2 - 6*a. Let g(b) = -3*b**4 + b**3 - b**2 - b. Let k(s) = 27*g(s) - 4*v(s). Factor k(l).\nAnswer: 3*l*(l - 1)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 71, 88, 105?\n\"Answer: 17*j + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5*o + 19 - 1 = 0, 4*o - 8 = 0. Let w(t) = t - 1. Let b(c) = 2*c**2 - 5*c + 4. What is l*w(k) + b(k)?\nAnswer: 2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20935772 and 6734584?\nAnswer: 963045512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6280 + 9400. List the prime factors of z.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0*w + 12 = 0. What is the smallest value in -2, w, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11995\/40 + (-7)\/(-56).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c + 256. Let g(h) be the first derivative of 7*h**3\/3 + 263. What is g(x(o))?\nAnswer: 28*o**2 - 7168*o + 458752","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i - 11*r + 59, 4*i + 2*r - 144 + 118 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -14*v**4\/11 + 50*v**3\/11 - 46*v**2\/11 - 2*v\/11 + 12\/11 = 0.\nAnswer: -3\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 2*f - 8 = 0, -5*x = 5*f - 0 - 5 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4 - 11 - 58*a**4 - 4 + 8*a**4 wrt a?\nAnswer: -200*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.01226905 rounded to 1 dp?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 5:20 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/((-35)\/100 - (-4)\/(-10)). Let m(a) = -a**3 - 7*a**2 + 7*a - 6. Give m(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4608\/(-21))\/(23\/(-1288)). Let k = h - 5767. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5684 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378434 is divided by 74.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -33, -0.3, 4\/5, 2\/13?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - 7*m + 8. Determine p(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/3 - (-28)\/21. Suppose i - 26 = -5*p, 5*p + 4*i - 19 = n*p. Is 4 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 366287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 2 = -q, 6*i - 2*i = -q + 2 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 25302400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 565*r = 520*r - 1305 for r.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s**3 + 5*s + 4*s**3 - 6*s + 12*s + 2*s**2 in the form m*s**2 + t*s**3 + n + b*s and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 1 + 2 + 49*p**3 - 50*p**3. Let v be j(-2). Suppose 0 = -v*l - s + 2110 - 653, -s = 2*l - 584. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -3*b + 32, -b + 3*l + 8 = -12. Let j(u) = -u**3 - 3*u**2 - 2*u + 6. Let v be j(-6). What is the greatest common divisor of v and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313509 is divided by 202?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/72 and -61\/85.\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2 = -2*r + x, -r - 4*x = 6. Suppose 0 = r*m - 3*u - 543, m - 2*m + u + 271 = 0. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/16*6*(-40)\/(-30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 22 + (15 - 31) + 1 + 12?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**3 + 2*f**2 - 69*f - 47. Let w be x(0). Which is the second biggest value? (a) w (b) -0.2 (c) 0.03 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -280 divided by -5\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*k - 35 + 287 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 16 = 0, 5*c + 2 + 0 + 32 = -27*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 38 + 3b?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 35687 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 4*v = -40, 321732*v - 321733*v = 4*a - 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a kilometer in meters?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 12:27 AM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 15.0068, 4, -4\/5 in decreasing order.\nAnswer: 15.0068, 4, -2\/9, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of u**6\/135 - 25*u**5\/3 + 139873*u**4\/54 + 94000*u**3\/9 + 141376*u**2\/9 + 121*u - 1. Factor o(z).\nAnswer: 2*(z - 376)**2*(z + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -49*b**3 + 2*b**2 - 4*b + 22. Let g(z) = -51*z**3 + 3*z**2 - 5*z + 23. Calculate -4*g(w) + 5*y(w).\nAnswer: -41*w**3 - 2*w**2 + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20600 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 652*r**3 + 9956*r**2 - 653*r**3 + 8087*r**2.\nAnswer: -r**3 + 18043*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 78*v + 6. Let f be k(-1). Let l = f - -72. Suppose l = -2*o + 5*t + 257, 0 = -3*o + 3*t + 488 - 107. What are the prime factors of o?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 - -133. Does 14 divide ((-30)\/(-20))\/(2\/z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -17*q**3 - 2*q**2 - 13*q - 10. Calculate the remainder when 502 is divided by o(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1179 + -429. Let j = m - 750.893. Round j to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 + 56. Suppose 2*h = 23 + x. What are the prime factors of h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -8. Suppose h = v + 4. Is v greater than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 3. Let s(l) be the first derivative of -l**2\/2 + 2*l - 3. Let p be s(2). Which is bigger: p or t?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*a**3 + 9*a**3 + 4*a + 15*a**2 - 15*a**2 to l + b*a**2 + u*a**3 + o*a and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2060004 and 19?\nAnswer: -39140076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - 7*b - 2*s = 272, 0 = 5*b + 5*s - 300. Calculate the remainder when 99 is divided by b.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of ((-42)\/24 + 2)*(-124)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 10, u: 4}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 - 18.7. Let a = 2.6 - y. Let q = -0.8 + a. What is the smallest value in -4, q, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -9*o + 11. Let u be z(2). Let w(y) = y**2 - 4 + 7*y - 3 - 4 + 5. What is w(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 31\/5 of a meter?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/532 and -32\/665.\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rj when two letters picked without replacement from {r: 1, d: 11, e: 5, n: 1, j: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.612170814 rounded to four decimal places?\nAnswer: 0.6122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 69405951 - 49219760. Suppose -2*l = 16*l + 181551438. Let w = h + l. Round w to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3338*v**3 - 36*v**2 + v + 6. Let t(h) = -3337*h**3 + 30*h**2 - h - 5. Determine -5*g(p) - 6*t(p).\nAnswer: 3332*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, a: 1, t: 12}. Give prob of sequence att.\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(78)\/sqrt(6) + sqrt(13) - sqrt(13))*3*-5*-6 + (sqrt(143) - (sqrt(143) + sqrt(143)*3*-2 - sqrt(143)))\/(4*sqrt(33)\/sqrt(3)).\nAnswer: -450 + 367*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27821 is divided by 105?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -13867, -27715, -41545, -55357, -69151, -82927?\n\"Answer: 9*x**2 - 13875*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 963484 + -642487. Suppose 1189003 = -t - d. Round t to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 84 (b) -4 (c) 0.3 (d) -4\/5 (e) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (0 - -5 - (1 + 7)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -404798.7 and -1.\nAnswer: -404799.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1568.4, 12, 4\/9, 4, 2\/17 in descending order.\nAnswer: 1568.4, 12, 4, 4\/9, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-39)\/(-26))\/((-1)\/(-2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/5)\/v*v)\/((v*v**(-9))\/v) assuming v is positive.\nAnswer: v**(47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of g**5\/60 - 3*g**4\/8 + 10*g**3\/3 + 22*g**2. What is the remainder when u(13) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.076 + 0.164. Which is the nearest to 1? (a) 2 (b) -3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3261 + -16309\/5. Which is smaller: s or 0.0796?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11170 and 20?\nAnswer: 22340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/28900 and -41\/14450.\nAnswer: 28900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 15. Solve 4*a - x - 10 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -2. Let q = 15 + w. What is the second smallest value in -2\/9, -13, q?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -68*j**2*r**2 + 49766*j**2 - 190*r**2 + r + 2201 wrt j?\nAnswer: -136*j*r**2 + 99532*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c + 9408*l = 9409*l - 1, l = 3*c - 3 - 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3962, 5 in increasing order.\nAnswer: -3962, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6227 = 6*v - 60209. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 271*s - 7105. Determine a(27).\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -981*t + 1204*t + 2230 = 0 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 112, 164, 230, 316, 428, 572?\nAnswer: 754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4\/7)\/(o**(1\/16)\/o))\/(o\/(o\/o**(2\/9))*o)**47 assuming o is positive.\nAnswer: o**(-57535\/1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1134 (base 14) to base 10.\nAnswer: 2986","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6248\/14 + (216\/(-21) - -10). Let m = o + -443. Solve 3*w - 6 = -3*h, 0*h + 3 = m*h for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 7. Suppose -v*z = 153 - 41. Let f = -20 - z. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-1*(2*-2*sqrt(72)\/sqrt(4)*-2)\/(1*sqrt(96) + sqrt(6) - -1*sqrt(96)).\nAnswer: 32*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -8*g + 4. Let t(u) = 15*u - 9. Let b(o) = -5*k(o) - 3*t(o). What is b(7)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 7*w + 55. Let p(x) = 35*x + 276. Let q(u) = 11*i(u) - 2*p(u). Let z be q(-7). Which is the second smallest value? (a) 0.2 (b) 2 (c) 5 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -807 - 793 - 480*u**4 - 250*u**4 - 300*u**4 + u**3 + 157 wrt u.\nAnswer: -4120*u**3 + 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 124090.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50 + 248\/5. Let o(i) = 2252*i - 15762. Let j be o(7). Sort l, j, -2\/3 in descending order.\nAnswer: j, l, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*z - 8*z + 6*z)*(3*z**3 + 4*z**3 - 3*z**3) - 7*z**4 + 0*z**4 + 3*z**4 as g*z**3 + w*z**4 + o*z**2 + d*z + v and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/910068 and -69\/362.\nAnswer: 910068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(1*-2) + -6. Let t = -0.33 - -0.03. What is the third biggest value in 1, c, t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40) + sqrt(40)*1 - sqrt(40))\/sqrt(2))\/((sqrt(36)*-1)\/sqrt(9)) - (-3 + -1 + sqrt(55)\/(-3*sqrt(11))).\nAnswer: -2*sqrt(5)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 6*x**2 + 4*x + 2. Determine m(-6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**2 - 766671512738*m + 766671512738*m.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 141 + 193 - 78*m**2 - 39*m**2 - 5*m**2 + m**3 - 84 wrt m.\nAnswer: 3*m**2 - 244*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - y + 12 = 0. Let z be (-14)\/10 + (y - 2). Let w = 0.01 + -5.01. What is the closest to 1 in z, w, 2\/15?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6388? (a) 1\/7 (b) 0.3 (c) -1\/284 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + p**2 + 2 + (p - 1 + 1)*(2*p + 0 + 0) - 4*p**2 - 2*p**2 + p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2)*g*g*g\/(g\/((g**10\/g)\/g))*g)\/((g\/g**8*g)\/(g\/(g**(2\/5)*g))) assuming g is positive.\nAnswer: g**(73\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 35154512 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 2*n**2 - 54*n + 2*n**4 + 4 - 2*n**3 + 54*n as g*n**3 + r*n**2 + u*n**4 + l*n + x and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 10:54 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/20)\/((-4)\/(-3080)*-1). Calculate the common denominator of (z\/24)\/11*(-6)\/(-9) and (120\/63)\/4 - 3.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - 447529\nAnswer: -447518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0)**(-1\/44)*y**(-2)*(y*y**(-1\/2))\/y*y)**26 assuming y is positive.\nAnswer: y**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231666 is divided by 384.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*z**2 - 44*z**4 - 31*z**2 + 46*z**4 - 1134*z - 27*z**2 to x*z**3 + f*z**4 + k*z + c + p*z**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 674187689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(3 + (2 + sqrt(448))*4*3)*6)**2.\nAnswer: 2985984*sqrt(7) + 37578816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 6. Which is the fourth smallest value? (a) o (b) 1\/5 (c) 0 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 6 = -3*p. Let y(w) = -w**3 + 2*w**2 + 2*w - 1. Let g be y(2). Solve g*z = -3*l + z - 1, 3*l + 3*z = -p for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 a when three letters picked without replacement from {m: 6, f: 1, a: 8}?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/63*3)\/((-8)\/(-6))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 943, -2, -7584 in increasing order.\nAnswer: -7584, -2, 943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 2)*(-7*a**4 + 7 - 7)*(-2 + 3 - 3) in the form u*a**4 + i*a + p*a**2 + s*a**3 + o and give u.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 339060 to the power of 1\/2, to the nearest integer?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 155.35 + -148. Round j to one dp.\nAnswer: 7.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6598, -26032, -58428, -103792, -162130, -233448?\nAnswer: -317752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, -4, 14, 4 in descending order.\nAnswer: 46, 14, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kckckkkcckkkkc. Give prob of sequence ckc.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 4, 27, 5, 0, 1 in ascending order.\nAnswer: 0, 1, 4, 5, 11, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 17136 divided by -3\nAnswer: -5712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-14) + 167\/21042\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -2.05729\nAnswer: 0.822916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 + (428545\/133)\/(-65) - 647\/7.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3383.829 decades?\nAnswer: 33838.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15752, -15638, -15524, -15410?\nAnswer: -15296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -0*g - 2*g - 22, -5*x + 2*g = 10 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -1295739 and -1295686 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 46 = 7*r + 4*p, 2*r + p = -16. Let g = 17 - r. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 0*y - 5*g, 0 = 5*y - 3*g. Let h(t) be the second derivative of y + 5\/12*t**3 + 5*t - 1\/2*t**2 - 1\/12*t**4. Factor h(i).\nAnswer: -(i - 2)*(2*i - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 822.87 and -2.\nAnswer: -1645.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 2, 6*d = d + 4*k + 1793. Is 21 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1984007.\nAnswer: 1984007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -522170 rounded to the nearest 10000?\nAnswer: -520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1933, 1907, 1881, 1855, 1829, 1803?\nAnswer: 1777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1743*a + 8*a**2 - 3610*a - 10*a**2 + 1826*a.\nAnswer: -2*a**2 - 41*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from amtvvavmv. What is prob of picking 1 t, 1 a, and 1 m?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1795\/3 - 598. Let m = -15\/26 + 1\/13. Which is the closest to 1\/3? (a) 3\/2 (b) m (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*o - 817. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 105 and 18697295?\nAnswer: 392643195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 0.5 (c) -0.1 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1795236 divided by -2?\nAnswer: -897618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -2 + -1 - -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2812 + 2813 - 2*p - 5625.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a meter in centimeters?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from puupvrvrvrrvrllrpv. What is prob of picking 1 v and 2 u?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(72))\/sqrt(6) - (-4 + 0 + sqrt(14)\/sqrt(2)).\nAnswer: -5*sqrt(7)\/6 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i + 0*i - 6 + 1. Let g be d(-5). Suppose -9 - g = -q. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 69*h**6*n**3 + 2*h**5*n**3 + 31*h**2*n**3 wrt h?\nAnswer: 8280*h**3*n**3 + 120*h**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/84 and -5\/65737?\nAnswer: 788844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2649, -4879, -6689, -8079, -9049?\n\"Answer: 210*d**2 - 2860*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93659.\nAnswer: 73, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 631647 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 2*v. Let h(f) = -f**3 + f**2 + 4. Let y be h(0). Suppose 0 = 5*s + 3*q - 105, y*q - 4 + 24 = v. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h + 7. Let d(u) = 3. Suppose -5*w + 6 = 5*q + 1, -5*w + 17 = 2*q. Let c(g) = w*d(g) - 2*y(g). Let k(s) = -5*s + 3. Give 7*c(n) - 3*k(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7 times 0.01?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*m - 5*z, -5*m + 4*z = 7*z - 21. Sort 4, m, 0.58.\nAnswer: 0.58, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and 0.74?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 166 + -104 + (-3 - (0 - (0 - 2))).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.53 - 0.4. Let j = d + -4.13. What is the biggest value in -48, 1, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 2. Let n(r) = 10*r - 1. Let b be n(1). Suppose 2*z + 6*f + 7 = 3*f, 0 = -3*f - b. Calculate the least common multiple of z and s(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15.9 - -6.5. Let a = -16259124.400083 + 16259115. Let j = w - a. Round j to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 21*p + 1164. Give r(-55).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 3. Let w be h(3). Suppose n + w = -3*j, -n = -6*n - 5*j - 20. Suppose n = p - 3*p. Solve 4*x - 5*g - 17 = p, -4*x + 4*g = 2 - 18 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*((-27)\/12 + (0 - -3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23231245*z**5 - 8*z**3 + 2*z - 424286793 wrt z?\nAnswer: -464624900*z**3 - 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*p - 1164 = -13*p for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4180 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 26 = 5*w - 2*r, 5*w + 5*r - 45 = 0. Solve w = -4*p + 13 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from deohdodd. What is prob of picking 1 o and 2 d?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -578*f**2\/11 + 30804*f\/11 - 410418\/11 = 0. Calculate f.\nAnswer: 453\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1802 and 3194419.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - u - 98 = 0, 5*q - u - 175 = -11. What is the smallest common multiple of q and 30?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.742364 to 2 dps.\nAnswer: 0.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -9. What is the closest to 0.1 in -0.3, 5, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.03, -2, 0.4, 66\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 523919 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 2*l = 21 + 1, -3*b - 33 = -4*l for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 11*q + 30. Let t be c(-13). Solve -t*w + 5 = p - 4, -2*p - w = 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-1)*w)**(-48)*(w**(1\/2)\/w*w)\/((w\/(w*w\/(w\/w**(-2\/27))))\/w))**30 assuming w is positive.\nAnswer: w**(-12575\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.04174 (b) -0.3 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1981, 7837, 17607, 31291, 48889, 70401?\n\"Answer: 1957*c**2 - 15*c + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 0.9114763 weeks?\nAnswer: 6.3803341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -210446, -841701, -1893784, -3366689, -5260410?\n\"Answer: p**3 - 210420*p**2 - 2*p - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 4*g - 3*g. Let j(z) = -3*z - 40. Is 3 a factor of j(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or -2844079?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-104)\/(-91)*7\/2 - 9. Calculate the remainder when 107 is divided by ((-43)\/5 - -5)*o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1358573086 and -4.942.\nAnswer: -1358573090.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16024 and 1630442.\nAnswer: 6521768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bse when three letters picked without replacement from ssuubuzebuse.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -23701*r**2 - 9*r + 10. Let f = -8 - -8. Suppose f = 4*p - p + 30. Let l be a(p). What is l rounded to the nearest one hundred thousand?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**3 + 2*s**2 - 2*s. Let a be c(-4). Let u = -84 + a. Suppose r = -3*r + 84. What is the highest common factor of r and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-5))\/3 - 6\/35*3.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -1. Let v be 93\/(-2)*2\/3. Let m = v + 35. Which is smaller: m or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 - -18. Let x = 1080 + -1098. Which is smaller: q or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3021 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101110111 - -100?\nAnswer: 1101111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**4 - 9971*d**3 - 21458769*d**2 + 17473674739*d - 17452205998 = 0. What is d?\nAnswer: -5297, 1, 622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/1700 and 89\/1785.\nAnswer: 35700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 14*i + 17. Let h be k(-13). Solve h - 100 = -10*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -5) + -114 + (15 - (40 - 45)).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of v**4\/24 + 4*v**3\/3 + 353*v**2. Suppose -5*k + 12 - 47 = 0. Let m be q(k). Solve -5 = 2*g + m for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -220, -648, -1390, -2602, -4440?\n\"Answer: -26*t**3 - t**2 - 243*t + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - -4. Let t = -59 - -102. Suppose 0 = 3*i + 3*d - 147, -i + 3*d - t = -2*i. What is the remainder when i is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132244829.\nAnswer: 73, 389, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 - (-33 - (-41 + 16)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4*l**4 + l**3 + 2*l**2 + 2*l. Let c(x) = -3*x**4 - 2*x**3 - 3*x**2 - 2*x. Let w(u) = -3*c(u) - 2*s(u). Factor w(o).\nAnswer: o*(o + 1)**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-25)\/(-5) + (90 - 1)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80)*-4*6 + sqrt(80).\nAnswer: -92*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -13, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1808327, 1808320, 1808313?\nAnswer: 1808306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -188*s + 188*s + 21*s**2 to d + b*s**2 + m*s and give b.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 392 and 399840.\nAnswer: 399840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 3\/14, 2, 2\/9, 0.02?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*35\/42)\/(-5).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-950)\/(-225) + 4\/(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 353579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 18*v**2 + 45*v - 52. Let w be f(20). Calculate the greatest common factor of 324 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -689, -732, -775, -818?\nAnswer: -861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14859583 + 42988583. What is n rounded to the nearest one million?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/5*69)\/(15\/50). Calculate the highest common divisor of h and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g - 69. Give p(23).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, u: 4, t: 3}. Give prob of sequence tu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/(o\/(o*o**7))*o))\/o)\/o)\/((o**39\/o)\/o)*((o**(8\/3)\/o)\/o)**(15\/8) assuming o is positive.\nAnswer: o**(-183\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*h + 1696 - 229 + 3285 = 0 for h.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-3 - -2) + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38392885 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 17, 10, -11, -52, -119, -218, -355?\nAnswer: -536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by 33.\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/7 - (-33666)\/651. Find the second derivative of s*z**2 - 2*z - 13*z**2 - 6*z**2 + 11 - 3*z**2 wrt z.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**7*j\/j**(-1\/2)*(j**(-1))**(-36\/7))\/(j**(-2)\/(j\/(j\/(j**2*j))))**(1\/48) assuming j is positive.\nAnswer: j**(4619\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -3. Suppose -3*l - 15 = r*l. Does 14 divide (-10 + -4 + 2)*l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -4*w + 20. Let a(c) = -3*c + 21. Determine 6*a(t) - 5*i(t).\nAnswer: 2*t + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -110032031 (base 4) to base 11\nAnswer: -5725a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5 = 3. Find h, given that 2\/15*h + 2\/15*h**3 + 0 + 4\/15*h**u = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 + -25.72. What is g rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 9 = 41. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, f: 6, x: 4}. Give prob of sequence xxfr.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -8*b + 264. Let s(i) = 2*i. Determine -5*s(k) - w(k).\nAnswer: -2*k - 264","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 - 8*l - 10 + 48.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/30800 and 13\/327250.\nAnswer: 2618000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6800, 6890, 7040, 7250, 7520?\nAnswer: 7850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6471 + -4194. Let x = n - 1537. What is x rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58030 rounded to the nearest 1000?\nAnswer: 58000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131290413?\nAnswer: 3, 439, 99689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbkbbbbbkbbbbbbbbbb. Give prob of sequence kb.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 0*f**2 + 5\/4*f**4 - 10\/9*f**3 - 11 - 5\/18*f**6 + 0*f**5 + 0*f. Factor g(x).\nAnswer: -5*x**2*(x - 1)**2*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4 - 5*d + 11*d - 3*d. Let n be x(2). Solve 4*f - 4 = n*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 991963540 rounded to the nearest one hundred thousand?\nAnswer: 992000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 4055562461\nAnswer: -4055562458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of a**6\/60 - a**5\/24 - 2*a**3 - 2. Let g(x) be the third derivative of y(x). Find the second derivative of g(b) wrt b.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/5))**(-2\/5))**(-2\/11) assuming k is positive.\nAnswer: k**(-8\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 14 - 4 - 1 - 607*j - 6 in the form g*j + q and give g.\nAnswer: -607","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -311 + 319. Is 2 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 187 - 206 - (-20 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/12)\/((-16)\/3).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 6*a**2 + 1. Let y = 329 - 339. What are the prime factors of z(y)?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1366 + -32?\nAnswer: 1334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -14*l**3 + 196*l**2 + 13. Calculate the remainder when 87 is divided by v(14).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = s, -2*s + 5264 = 2*y + 3*s. Calculate the remainder when y is divided by 175.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*b - 22. Suppose -q + 10 = -5*z, b - 4 = -3*z. Let k = -5 + q. Which is greater: k or -1\/8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 445874 divided by -3.\nAnswer: -445874\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**2 - 1383457968*a + 119622246826418064 = 0. What is a?\nAnswer: 172932246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -524.447 and -15387.1?\nAnswer: 14862.653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let n be 834*(-4 + (-2330)\/(-20))\/(1\/4). Round n to the nearest 10000.\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4278825, 4278881, 4278937, 4278993, 4279049?\n\"Answer: 56*x + 4278769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-143)*(-2 - 904495\/2170). Let h = a + -2\/4433. Calculate the common denominator of 55\/6 and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 5*m**2 - 12*m - 55. Let y be q(-5). Solve 0 = -y*p - 2*p - 7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from gglllgglggggglgggll.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 - -37. Is s a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*a*c**2*n**3 - a*c*n**2 + a*c - 14*a*n**2 - c**2*n**2 wrt n?\nAnswer: 156*a*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g - 8. Let i be w(5). What is the remainder when 33 is divided by ((-2)\/(-4))\/(i\/36)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 217 in descending order.\nAnswer: 217, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -5)\/(-6)*-2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58044?\nAnswer: 2, 3, 7, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q = -30 - 50. What is the smallest common multiple of 286 and q?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/420*8\/(192\/14). Let v(u) be the third derivative of -j*u**5 + 22*u**2 + 1\/2*u**3 + 0 + 5\/24*u**4 + 0*u. Determine v(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102 = -17*v - 17 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1380735 to the power of 1\/2, to the nearest integer?\nAnswer: 1175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 2\/3, 2\/17, -9, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 10)*(18*v + 8*v - 2*v).\nAnswer: -168*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 13*r**2 - 6*r - 16. Let s(g) be the first derivative of -7*g**2 + g + 11. Let o be s(1). What is the tens digit of w(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7968 and 19920.\nAnswer: 39840","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 195 and 165.\nAnswer: 2145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of n**6\/90 - 643*n**5\/9 + 2585663*n**4\/18 - 5164898*n**3\/9 - 92*n**2 + 20. Find r such that u(r) = 0.\nAnswer: 1, 1607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*c - 3 = 6, 0 = 5*g + 5*c - 40. Solve g*a - 23 = -3 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/2)\/(8\/(-4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1144992 by 286248.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 104 - 113. Let n(u) = -u**3 - 9*u**2 - u - 1. Calculate the remainder when n(r) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 48915\/(-600) + 303\/(-4040). Let f = -153 + 70. Which is bigger: z or f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 26*d**3 + 78. Let s(l) = l**2. Give r(s(z)).\nAnswer: 78*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/7 - 17407*x\/7 + 11083530\/7.\nAnswer: -(x - 615)*(x + 18022)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/10 of a day?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**3 - 1815*p**2 + 161955*p + 502335.\nAnswer: 5*(p - 183)**2*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**3 - 2*s**3 + 2*s**3 + (-3*s**3 + 7*s**3 - 5*s**3)*(-1 + 0 + 2) + 0*s**3 + 0*s**3 - 3*s**3 + 3 - 2*s**3 - 3)*(3*s**2 - 2*s**2 - 2*s**2).\nAnswer: 8*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -21 - -15464?\nAnswer: 15443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/27, -0.04, 0.4, 6 in descending order.\nAnswer: 6, 0.4, -1\/27, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 10*q + 7. Suppose -40 = -4*u - 4*n, 4*n = -0*u + 4*u. Let h(r) = -9*r - 8. Let w(j) = u*h(j) + 6*t(j). What is the units digit of w(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, -234, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 9. Suppose v - 2*w - 48 = -4*v, -36 = -x*v + 4*w. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2035 + -1931. What is the greatest common factor of 136 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 12768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 5. Let m = d - 0. Is (2*m)\/((-6)\/99) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -2*z + 4*m, 548*m - 13 = -3*z + 553*m for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -25 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -66 - -72. Calculate the smallest common multiple of p and 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-8)\/(-92)*-1 + (-30684624)\/(-552)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -6*a**3 + 2*a**2 - 1. Let h(c) = 25*c**3 - 9*c**2 + 4. Let u(s) = -2*h(s) - 9*t(s). What is u(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(500) + 2)*3 - -2*(((sqrt(720) + -2 + sqrt(720))*3)**2 + sqrt(720)))*5.\nAnswer: -8370*sqrt(5) + 259585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 11 - 5. Suppose 4*y = 5*l + 47 + 49, 103 = 3*y + 4*l. Let m = y + -21. What is the remainder when m is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -87 + 145. Calculate the greatest common divisor of b and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-2*sqrt(315))\/(-3*sqrt(30)\/sqrt(6) - sqrt(5)))\/((-5*(sqrt(90) - -3*sqrt(90) - sqrt(90)))\/(sqrt(160)*-4)).\nAnswer: 16*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4062804 to the power of 1\/2, to the nearest integer?\nAnswer: 2016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9310\/(-1365))\/19)\/(((-5)\/(-1))\/90*-3).\nAnswer: 28\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - n + 6799*i = 6795*i + 124, -3*i = 4*n - 100 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 179, 1\/7, 0.1427, -4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1122200 + -1111?\nAnswer: 1121012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**2 - 4*g**2 - 2*g**3)*(-3*g**2 - g**2 + 2*g**2)*(-38 - 70 - 184).\nAnswer: -1168*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4842 and 50191634?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2.4 * -172\nAnswer: -412.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - v = -3*v, -k = -2*v + 6. What is the least common multiple of k and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1393*q - 18720 = 1375*q. What is the highest common divisor of 130 and q?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/1250 and -61\/2750.\nAnswer: 13750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-112984)\/16)\/(3\/(-6)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-5)\/(h*h*h\/h**(2\/9)*h) assuming h is positive.\nAnswer: h**(-79\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2093*y + 1407*y - 3978*y.\nAnswer: -4664*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16343*o - 16340*o + 15*s + 3, 37*s = -2*o - 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -17054700 rounded to the nearest one hundred thousand?\nAnswer: -17100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of 157*l**8\/112 - 9*l**5\/20 + 13*l**4\/24 - l**2 + 38. Find the third derivative of o(g) wrt g.\nAnswer: 28260*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*c + 7*c. Let u be (1 + c)\/(45\/(-120)). What is the units digit of (8 - 25)\/(2\/u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = -18*s + 11 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -11, 0.1402, -17\/4, 1?\nAnswer: 0.1402","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/5 + 2\/5. Suppose 950 = 3*d + 938. Which is the closest to n? (a) d (b) -4\/9 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 0.5 (c) -2\/17 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -46 in -2, -4\/5, -19, 3\/4, 2?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 81 + 84*j + 60*j + j**3 - 45*j - 20*j**2 + 39*j**2 = 0?\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 15792, 31511, 47144, 62691, 78152, 93527?\n\"Answer: -43*t**2 + 15848*t - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 + -24. Suppose 4 + z = 6*j. What is the greatest common divisor of 22 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 14 + 6 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*t**3 - 18*t wrt t.\nAnswer: 168*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minus -227156.1?\nAnswer: 227208.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a week in minutes?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**3 + 0*u + 0*u)*(u + 3 - 3) + (-4*u + 4*u + 2*u**2)*(-2*u + 3*u**2 + 2*u).\nAnswer: 7*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2620 = -23675. What is the hundreds digit of (y\/(-35) - 2) + 3\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17318 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 0 in descending order.\nAnswer: 5, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.27, -0.379982, 2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 762882813?\nAnswer: 3, 7, 11, 19, 31, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-100)\/55)\/10?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 166\/5 + -639\/20. What is the third smallest value in 0, -5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -20*u + 123. Let h(s) = -84*s + 490. Let g(y) = -2*h(y) + 9*r(y). What is g(11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.07, 266995, 1\/4?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 51264 = -4*r, -5*a + 9*r + 85460 = 19*r. What is the greatest common factor of 28 and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-2))\/(-8 - -7) - -4. Sort t, -1, -141 in ascending order.\nAnswer: -141, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 427756, 427719, 427622, 427435, 427128?\nAnswer: 426671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**2 + 12*i - 45 = 0.\nAnswer: -15, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3\/401 + 2032\/3609. Let a = 61\/45 - f. Which is smaller: a or 3\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 102102?\nAnswer: 102101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105601?\nAnswer: 105601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 6:27 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4*v**3 + 2*v**2 + 25*v - 2. Let d(x) = 7*x**3 + 5*x**2 + 51*x - 5. Let y(s) = 2*d(s) - 5*f(s). Find the second derivative of y(g) wrt g.\nAnswer: -36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -69, -106, -139?\nAnswer: -168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (-2*sqrt(5) + -3 - sqrt(5))**2) + -1.\nAnswer: -55 - 17*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, b: 3, j: 7, v: 7, e: 1}. What is prob of picking 1 e and 1 v?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 1452685.\nAnswer: -1452685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 2*m**2 - 40. Let a be x(0). Let s = 42 + a. Factor -2*d**4 + 3*d**s - 2*d - 4*d + 4*d + d**4.\nAnswer: -d*(d - 1)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and 8592.\nAnswer: 8591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 5*m - 6. Is g(9) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12001951?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, 2\/23, 7\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 5*t. Let m(s) = -2*s**2 + 73476*s + 7. Calculate q(m(f)).\nAnswer: -10*f**2 + 367380*f + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 24\/16)*1\/5*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-nine fifths of a centimeter?\nAnswer: 118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-288)\/88)\/9)\/((-187)\/(-2057))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50418.07 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*z + 23*z + 30*z)*(13*z - 2 + 2) + (z - z + 4*z)*(-2 + 7 - 3)*(2 - 2 + 3)*(-z - z + 0*z) in the form p*z**2 + h*z + f and give p.\nAnswer: 511","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*b + 10 = 0, j + 3*b = 7*b - 8. Let d be (-11)\/(-14)*((-12)\/24 + j). Which is greater: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*s + 16*s = 123 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, 1399390, -4 in descending order.\nAnswer: 1399390, 7, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*t*u**2 - t*u - 2*t + 152*u wrt u.\nAnswer: 54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1244\/8 + 2\/(-4). Suppose -5*x = -170 - o. Let v = 118 - x. What is the remainder when v is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2308 (base 11) to base 7\nAnswer: -11562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qbhbhzbbzbbbb. What is prob of picking 2 z, 1 q, and 1 h?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*u + 407 - 407)*(0 - 2 + 1)*(11 + 19 - 86) in the form g + k*u and give k.\nAnswer: -560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of 0*n + 5\/2*n**2 + 10 - 5\/6*n**3. Let z(o) = 0. Calculate o.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 5*o**2 + 3*o - 3. Let r(q) = -q**2 - q + 1. Let z(w) = f(w) + 4*r(w). Let s be z(1). Let g be 28\/84*(-1 - -7). Put g, 4, s, -7 in increasing order.\nAnswer: -7, s, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-8) - (-1705)\/(-260). Let s = -1337\/78 - u. Calculate the common denominator of -33\/5 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 8*b**2 + 2*b + 11. Let l be n(-8). Let j(o) = -o + 4. Let k be j(l). Solve -s - k = 2*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 5, -5, -43, -127, -275, -505, -835, -1283?\n\"Answer: -3*f**3 + 4*f**2 - f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a meter in centimeters?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 505978 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -23*l**2. Let y(v) = -v**2 - 5*v**2 + 2*v**2 + 5*v**2. Calculate c(y(d)).\nAnswer: -23*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*a = 5*v + 6, 0 = v + 3*a + 14. Let p = -0.61 + -1.39. What is the second biggest value in v, 1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -5329.84504 and 3.\nAnswer: -5326.84504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 - 6*o + 3. Let l(z) = 5*z**2 - 11*z + 5. Suppose 0 = 4*n + 4*m + 28 - 44, -2*m = 4*n - 14. Determine n*l(y) - 5*u(y).\nAnswer: 5*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.251792228 rounded to 2 dps?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (5 + (-1*-2*sqrt(1900) - (sqrt(2736)*-5)**2*-3))*1.\nAnswer: 20*sqrt(19) + 205207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 335, 2 in descending order.\nAnswer: 335, 5, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o - 7. Let y(b) = -b + 1. Suppose 81*w - 10999 = 64*w. Let p = 641 - w. Calculate p*y(z) - t(z).\nAnswer: 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 4\/17 (c) -53 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 - -7. Let m be 8\/d - 40\/18. Let z = 1 - 1.1. Which is the closest to z? (a) m (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k. Let p be l(4). Let f = -7 + p. What is the greatest common factor of f and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 229 and 4?\nAnswer: 916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 f when three letters picked without replacement from iffiifiifffiifiiffi.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -24392 and 111.\nAnswer: -2707512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2616*t - 2611*t + 3*k = -21, t = 4*k + 5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2424727 < -2424556?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109330.\nAnswer: 2, 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 6*w**2 + 57*w - 309. What is x(-14)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/45*3*(-700)\/(-120)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p\/(p*p**(-2))*p))**(-12\/13)\/(p**(3\/11)*p**(1\/5)\/p) assuming p is positive.\nAnswer: p**(2357\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*v - 46*v + 15*v**2 - 5*v**2.\nAnswer: 10*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2125 is divided by 112.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*((h*h*(h**(-4\/3)*h)\/h*h)\/h)\/h)\/h)\/h**5)**(-38)\/(((h**4*h)\/((h\/h**(-1\/2)*h)\/h))\/((h\/(h*h**(3\/7)*h))\/h**(4\/5))) assuming h is positive.\nAnswer: h**(41357\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 18, 16, 12, 6, -2?\n\"Answer: -l**2 + l + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50 - -501\/10. Let j = k - 13\/5. Let m = -11.7 + 11.2. What is the second biggest value in m, 0, j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f = 28*f - 18 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53*z + 57 - 57)*(-2 - 2 + 0)*(1 + 2 - 4).\nAnswer: 212*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -791, -1626, -2569, -3674, -4995, -6586, -8501, -10794?\nAnswer: -13519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (36\/21)\/(4\/(-28)). Let z = h + -8. Let p be 32\/z - (-3 + 2). What is the second biggest value in -3, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -d + w - 36, 0 = 4*d + 4*w - 48. Calculate the remainder when 53 is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171))**2 + 3 + sqrt(38)\/sqrt(2) + -5 - (sqrt(1900) + -2*sqrt(1900)*2)**2.\nAnswer: -16931 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 2*q. Let i be (-75)\/5*1\/3. Calculate the remainder when n(i) is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 3\/16 (b) 0.09 (c) 0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 157*a - 6 - 3)*(10*a**2 - 2*a**2 - 10*a**2).\nAnswer: 314*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x**3 - 19*x**2 + 8*x - 29. Is z(14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/7, 213727, -15, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(c**2 + c**2 - c**2) - 4*c**2 + 8*c**2 + 4*c**2.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 198\/25 + -5177\/600. Find the common denominator of y and -187\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (sqrt(539) + 0)) + 5 + sqrt(11)*-2.\nAnswer: -8*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**2 - 14*m - 43*m - 47*m.\nAnswer: -2*m**2 - 104*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bmbubmuu. Give prob of sequence ubbm.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((32\/(-540))\/4)\/(393\/(-3930))\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 28*g**2. Let k(f) be the second derivative of f**4\/24 - 4*f**2 + 12*f. Let h(u) be the first derivative of k(u). What is h(w(z))?\nAnswer: 28*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Is 1354 a factor of 276338092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 234\/13 - (-9122)\/1. Calculate the highest common factor of o and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -387 = 13*g - 3*g - 377 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r*r**(-2\/13))*r**(-2\/75)*r assuming r is positive.\nAnswer: r**(1099\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -7*p**3 - 10*p**2 + p + 4. Let d(z) = 21*z**3 + 29*z**2 - 2*z - 11. Determine -4*d(w) - 11*q(w).\nAnswer: -7*w**3 - 6*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2688253358?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 416 and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r + 8. Let y(l) = -2*l**2 + 5*l + 24. Let m be y(5). Let g be (-9 - -13 - 6) + (-1)\/m. Let n(t) = -1. Determine g*i(p) - n(p).\nAnswer: -p - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -90*w - 5. Let n be q(3). Let b = -187 - n. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34161, -34160, -34159, -34158, -34157, -34156?\nAnswer: -34155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 706474 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1223 - 1214. Put -1, 22, g in descending order.\nAnswer: 22, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2628\/(-219)*((-4)\/27)\/(-4).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 2:54 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*m - 3*r - 0, -5*m = -r - 5. Sort 10, -0.3, 9, m.\nAnswer: -0.3, m, 9, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2424 = 3*u + k, 3*u + 7*k - 8*k = 2430. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 432 and 6557112.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10136 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5\/4*17\/(5610\/176)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 2868462198210.\nAnswer: -2868462198209.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 250, 494, 736, 976?\n\"Answer: -m**2 + 247*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33417 or 595?\nAnswer: 595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 134310000 a multiple of 2000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -512500*p**2. Let b be c(2). What is b rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5603 and 858.\nAnswer: 369798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -t**3\/3 + t**2\/2 - 7*t - 8. What is j(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52 + -39. Suppose -9*s = -o*s + 8. What is the derivative of -15*l**s - 4 - l**3 + 15*l**2 - l**3 wrt l?\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7960 - 7953. Solve -2 - o = 3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s. Let l(y) = 5*y + 2. Calculate 6*b(d) + 3*l(d).\nAnswer: 9*d + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7*1\/(-2))\/(3\/(-36)). Suppose -8*d = -d - g. Let w = 26 - d. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 34\/17 - (-48)\/82. Let g = -1297\/656 - a. Calculate the common denominator of g and 55\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 41\/2 of a centimeter?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (103 + (0 - 4))*(2 - -10). Let z be 1\/(-4) + a\/16. Let y = 110 - z. What is the greatest common factor of y and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3861900, 7723800, 11585700, 15447600, 19309500?\n\"Answer: 3861900*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-18)*2\/5. Let n = 17.4 + -14. Let u = n + -8.4. Which is the second biggest value? (a) 1 (b) f (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 6*d + 7. Let h(l) = -288 - 287 + 867 - 291. Give g(k) - 5*h(k).\nAnswer: 6*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -27 + (-36 - (45 - 70))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/(-25))\/(6\/21020). Let d = h + -1426. Calculate the common denominator of 4 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -9242*z + 73930. Calculate d(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3501364 - 14?\nAnswer: 3501350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0354 + 245.0354. Let t = -126 + i. Let k = 118.99328 - t. What is k rounded to four dps?\nAnswer: -0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8b79 (base 13) to base 8\nAnswer: -46117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of n**3\/3 - 27. Let q(x) = -2*x. Determine q(s(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 408, 350, 254, 120?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21691 is divided by 155?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 1. Let x be (-81)\/(-15) + i\/(-10). Suppose -5*v + 19 + 3 = 2*n, 2*v = -x*n + 13. Solve -v*u = q - 23, -2*u - 2*u + 8 = -4*q for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 266006*z - 3458076. Calculate i(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 5*o - 0*o + 3*h, 5*h + 13 = 4*o. Let s(j) = 2*j + 8*j + o*j - 20*j. Let v(f) = 3*f**2. What is v(s(d))?\nAnswer: 27*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/16 and 49\/113728.\nAnswer: 113728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 167 (base 15) to base 11\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 39 = 5*r, 664*r - 669*r + 4*l = -18 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*c + 6. Suppose c*w + 2*i = 7*i - 9, -2*w - 4 = -4*i. Let o be (w\/(-5))\/((-2)\/(-5)). Calculate the greatest common factor of 2 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6313 + -3402706\/539. Let p = f - -2687\/4312. Factor 13\/8*g - 1\/8*g**3 + 7\/8 + p*g**2.\nAnswer: -(g - 7)*(g + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4 + 16529*h - 1 - 16528*h. Let o(x) = -6*x - 5. Let y(s) = 5*s + 5. Let l(z) = 3*o(z) + 4*y(z). What is 7*f(m) - 4*l(m)?\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11)\/13 - -1 - (-52)\/(-338). Suppose v = 29*i + 2*i + 217. Let b(j) = 5*j**3 - 5*j. Let w(p) = -2*p**3 + 2*p. Give i*w(n) - 3*b(n).\nAnswer: -n**3 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 27 - 27)*(2*p + 0*p**2 - 2*p**2 - p).\nAnswer: 2*p**4 - p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1744633 to the nearest integer?\nAnswer: 1321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 1:42 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -5*a**2 + 11*a + 9. Let b(j) = -4*j**2 + 11*j + 10. Let p(d) = -6*b(d) + 5*z(d). Let g be p(-9). Is 0 + 1716 + (4 - g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 29.9, 2?\nAnswer: 29.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5897 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-9)*9\/(-6)*(-33212)\/(-2888)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*o + 146*o = 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 6*r + 50 = 0. Suppose 11*i - 3 = r*i. Solve y = -3, -i*c - 2*y = y + 18 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a micrometer in nanometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 4) to base 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-4 - -2) + -3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*i**5 + 391839*i**2 - 3015021*i.\nAnswer: 80*i**3 + 783678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -202 (base 3) in base 11?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**2 + 5*l + 27. Suppose 5*t - 19 = -3*o, -4*t + 6 - 2 = o. What is the tens digit of f(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**10\/n)\/n)\/(n*n**(-7)))\/((n*n*n\/(n\/n**(3\/14))*n)\/n**9) assuming n is positive.\nAnswer: n**(277\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -0.5, 0.06, 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 162*s**2 + 54959*s - 5261. Determine v(329).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -4, 825, -117, 5 in ascending order.\nAnswer: -117, -4, 0.3, 5, 825","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 5\/1328842?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 40\/18 - 2*1. Let t = -50168 + 50171. Which is the closest to -0.1? (a) 2\/7 (b) t (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-52)\/16 + (-3 - -4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - 17 = -b + 3*l, 5*b + 2*l - 17 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -15*h**2 + 11*h - 11. Let l(z) = -4*z**2 + 3*z - 3. Let n(k) = 22*l(k) - 6*w(k). Let i(q) = -91*q**2. Calculate n(i(j)).\nAnswer: 16562*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/66? (a) -3\/4 (b) 1\/362 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.32000168 + 0.32. Round d to seven decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*q**4 - 12*q**2 + 12*q**2 + (0 - 2*q + 0)*(-5*q + 5*q + q**3).\nAnswer: -23*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 8:32 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 7*i - 151. Calculate the lowest common multiple of i and 110.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/7)\/(b*b**(-2)))\/(b**(-1\/4))**(6\/13) assuming b is positive.\nAnswer: b**(151\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -708*u**3*y**2 + 41*u**3*y + 2*u**3 - 3*u**2*y**2 + 5*u**2*y - 26 wrt u.\nAnswer: -4248*y**2 + 246*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -1)\/(4 + -3). Suppose 0 = -j*k + 4*k + 20. Which is the closest to 0.4? (a) k (b) 5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o + 22. Let f be m(18). Let g = 23.8 + -19. Let i = -6.8 + g. Sort f, i, 0, 1.\nAnswer: i, 0, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3159998 = -c, -3413715 = 3*c - 2*b + 6066289. Round c to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2005 = 33*c + 1345 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzj when three letters picked without replacement from jjjzjjjzj.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4540 times -21\nAnswer: -95340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-93)\/(-14))\/(-31))\/(4\/7)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1573694 is divided by 475.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180 and 1476.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 307 - 279. Calculate the remainder when 82 is divided by g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k = 6*k. Suppose -4*r - a + 1 = k, 0*r - r + 3*a = 3. Suppose 5*x + 42 - 272 = r. Solve -5*u + 21 = x for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((-1 - (-3 + 1)) + 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/3)\/(q*q**(-1\/6)))**(2\/5))**(-2\/15) assuming q is positive.\nAnswer: q**(2\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 2 + 0)*(-v + v - v) + 4*v - v - 2*v)*(-77 + 44 - 46) as d + f*v and give f.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3856346?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 230265 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = s - v - 2*v, 5*s - 10 = -5*v. Suppose 4*m - m = 0. Let h be s + -3 + m - -6. Put h, -8, -5 in ascending order.\nAnswer: -8, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -604*l**2 - 605*l**2 - 601*l**2 + 2414*l**2 - 599*l**2.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (88*b + 0*b + 314*b)*(-b - b + 3*b)*(-1 + 0 + 4)*(2 + 2 - 5) to the form v*b**2 + a*b + z and give v.\nAnswer: -1206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 472, -72.\nAnswer: -72, -1, 0, 472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-9)*-4*2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -17972 > -248?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 3 + 8 + -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 899, 99979, 5 in increasing order.\nAnswer: 5, 899, 99979","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002011893761 to six decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(3\/2)*u))\/u**(-2\/9))**(-3\/7)\/(((u*u*u\/(u*(u**(2\/9)\/u)\/u*u*u)*u)\/(u**(-2\/7)\/u))\/((u*u*u**4\/u*u)\/u**(-3))) assuming u is positive.\nAnswer: u**(691\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 5*t - 8. Let f be k(-5). Suppose -4*s + 2*i = -56, 5*s - 2*s = 5*i + f. What is the remainder when s is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2337 (b) -0.3 (c) 5\/2 (d) -0.51 (e) 51\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 7*a**2 - a + 7. Let r be i(7). Suppose -j + 3*j - 8 = r. Let s(l) = -2*l - 13. Let n be s(-10). Solve -j*x - 1 = n for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 30*p - 26*p = 1, -4*q - 11*p + 14*p - 56 = 0 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5415 and 320.\nAnswer: 346560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -309*f**2 - 297*f**2 + 599*f**2.\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 839771.6s?\nAnswer: 839771600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 12 = -4*m - 4*v, -4*v + 17 = -m. Let x(l) = -5*l**3 - l**2. Let b be x(m). Solve f - a = 2*a + b, 12 = -2*f - 4*a for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/2788 and 64\/27183.\nAnswer: 108732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -49, -69, -99, -139?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 7. Let v be 3\/9*(-126)\/((-2)\/1). Suppose -12*f + 36 = -v*f. Which is the second smallest value? (a) 1\/5 (b) f (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3\/2, 2\/11, 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus 0.0808119?\nAnswer: 3.9191881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*v - 31*v**2 - 16*v - 2*v**2.\nAnswer: -33*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 30 + 189 = 3*h, 0 = -2*q + 3*h + 126. Solve -41*i + q = -22*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 861042?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.066, -0.5, 29\/5?\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -21 + 595?\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 1 = 3. Let m = -15 - -8.5. Let q = 6 + m. Which is the second smallest value? (a) q (b) s (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3104325?\nAnswer: 3, 5, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -11*l**3 + 2644*l**2 - 962*l + 473. Give h(240).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2cbcb0 - -2?\nAnswer: 2cbcb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tzpz when four letters picked without replacement from {p: 1, i: 1, z: 4, t: 8, n: 1, u: 1}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -530.06532 + 530.3. What is z rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-96)\/28)\/(9\/((-378)\/(-12))).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**4\/7 - 213526*q**3\/7 + 1250286*q**2 - 12166182*q - 13446972 = 0. What is q?\nAnswer: -1, 21, 106722","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 - 15. Let g = -26 + o. Let h = g + 5. Which is the nearest to 1\/4? (a) -0.5 (b) 0.2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 590 times -8?\nAnswer: -4720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2265 + -1612. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 7*x**2 + 6*x - 1. Let j be p(6). Let z be (-8)\/(-20) - (-34)\/(-10). Let s be (-3 - z)\/(-2) + -1. Are j and s non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420\/(-2064) - 26\/(-104)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 15*n + 13*n - 634*n**4)*(-4*n - 2 - 15*n + 22*n).\nAnswer: -1902*n**5 + 1268*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347*v + 185 + 74 = -2517 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*v**2 - 2)*(99*v**2 + 92*v**2 - 155*v**3 - 191*v**2).\nAnswer: -310*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 1268*b**2. Let a(f) = 41*f**2 - 147*f**2 + 34*f**2 + 32*f**2 + 38*f**2. Determine j(a(s)).\nAnswer: 5072*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 500689 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 d when four letters picked without replacement from dvyjyvyqyvvvydyyvv?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -9*f + 5. Suppose 6 = 2*h + 2. Let w(a) = 4*a - 2. Let q(d) = h*p(d) + 5*w(d). Let m(o) be the third derivative of o**4\/12 + o**2. What is q(m(g))?\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11203348639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2344 a factor of 4511176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 233819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000922 rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 935 > 88836\/95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/7 - -3\/28. Let b(l) = -13*l - 75. Let n be b(8). Let q = n + 1257\/7. What is the nearest to m in 2\/9, q, 0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -156620000 rounded to the nearest 1000000?\nAnswer: -157000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 15898, 15817, 15734, 15649, 15562?\n\"Answer: -p**2 - 78*p + 15977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 9, t: 2, n: 2}. Give prob of picking 2 n and 1 t.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -25446 or 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 18 = 4*m, -5*m + m = 5*g - 10. Suppose 3*x - 12 = -m*a, x - 4 = a - 0*x. Suppose a = 4*q - 13 + 5. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 352\/20 - (-2)\/5. Is 86\/x + (-4)\/(-18) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 0.43504262.\nAnswer: -1.74017048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 188 - 58. Suppose -2*f + 90 = -b. Let t = f - 55. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2927 divide 444901073?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 0.268 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, s: 1, j: 2, x: 1, e: 3, z: 2}. What is prob of sequence zsxj?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.5 (b) 0.11 (c) 21 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 5*b**2 - 8. Let f(y) be the second derivative of -y**3\/6 + 17*y**2\/2 - 2*y. Let i be f(13). Let n be l(i). Solve 0 = -2*a + n - 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 7:46 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2643.48+37\nAnswer: -2606.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/21, 982, 2\/7 in descending order.\nAnswer: 982, 2\/7, -4\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q**2 - 5*q. Let s(w) = 4*w**2 + 5*w. Determine -5*d(j) - 4*s(j).\nAnswer: -j**2 + 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8766946 to the nearest integer?\nAnswer: 2961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5*p**2 + 3*p - 4. Let y be b(3). Suppose -2*u - 3*u + y = 4*x, 0 = u - 5*x - 39. Solve -f = 2*l + f + u, 14 = 2*l - 5*f for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -19.2039 and 0.3144.\nAnswer: -18.8895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10562*j = 10565*j + f + 3, -5 = 5*j + 2*f for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28680437 is divided by 3821?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 times -1094?\nAnswer: 16410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -175*m + 15 - 13 - 2 - 997*m as i*m + f and give i.\nAnswer: -1172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r + 30. Let k be w(-10). Let f be (5\/5 - k)*5. Sort f, 1, 2, 0 in descending order.\nAnswer: f, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/386781 and 139\/20610.\nAnswer: 11603430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(7) + 1*sqrt(28) + (-1 + sqrt(7))**2 + 3).\nAnswer: 4*sqrt(7) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {a: 6, v: 9, w: 4}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4847269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 338 + -336. Solve -3*l - 10 = a*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.03 - 2.97. What is the third smallest value in 5, 0, d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express y**3 + 131*y**4 - 132*y**4 + 10 + 1 + 5 - y as v*y**4 + b*y**3 + h*y + t*y**2 + g and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 120732, 241956, 363180?\nAnswer: 484404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (1 - 1 - (15 + -17))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 6*x + 32 = -2*x, q - 8 = -4*x for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/41, 1\/7, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4640 and 0.2?\nAnswer: 4640.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 399556\/2408 + (-4)\/(-56). Solve -o*v = -138*v - 168 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 942 and 379469.\nAnswer: 2276814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 476*o - 471*o + 5 = 0, q = -2*o + 8. Solve q*d + 8 - 38 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 74*b**3 + 2*b**2 - 8*b - 4. Let x(a) = 74*a**3 + 3*a**2 - 7*a - 5. Let q(d) = 3*s(d) - 2*x(d). What is the second derivative of q(i) wrt i?\nAnswer: 444*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-471)\/(-6123)*-1*39)\/(15\/2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*f**3 - 3*f**3 - 5*f**3 + (-2 + 2 - 2*f**2)*(-3 + f + 3).\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -7055 times -58.5?\nAnswer: 412717.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**3 - 2337*d + 153*d + 2524 - 2525 - 456*d to b*d**3 + a + u*d + o*d**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-3\/2)\/y*y*y**25)\/(y\/(y\/(y*y\/y**(6\/11)*y*y))*(y**(-2\/59)\/y)\/y))**(-25\/4) assuming y is positive.\nAnswer: y**(-716475\/5192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 0*i = 9. Let y be (2\/i)\/((-2)\/(-3)). Let q = 4 + y. What is the greatest common divisor of q and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 72, 45, 12, -21, -48, -63, -60, -33?\n\"Answer: r**3 - 9*r**2 - 7*r + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31404 and 27?\nAnswer: 282636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 716309 is divided by 135.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2\/83, -0.3, -0.06.\nAnswer: -6, -0.3, -0.06, -2\/83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-75)\/45 - 6\/(-9). Let v be 11*w*-5*2\/55. Solve v*c - y = 3*c, -4*y - 28 = -3*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*a = -2*l + 6, 3*l - 3*a + 9 = 0. Solve 3*i - 7 = -2*w, 3*i = -l*w - w + 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 414 - 326 = 0. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) -4 (c) 2\/15 (d) -33.954933\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 386941325 - 167*h - 229*h + h**2 - 386941325 + 396*h.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, q: 2, j: 3, d: 3, c: 2}. Give prob of sequence qq.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(1\/((-21)\/6 + 3)). Let d be -1 - -2 - 1 - (3 + y). Let a be (-15)\/(-10)*(-4)\/d. Solve 0*u - 4*b + a = -2*u, -5*b = 4*u + 30 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -261794 take away 0.178?\nAnswer: -261794.178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 3 + -5 + (-39)\/(-3). Suppose 2*u = -8*u - t. What is the biggest value in u, -0.1, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - x = -2*x - 16, -4*m = -3*x - 8 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 727 - 706. Calculate the smallest common multiple of k and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 77*i + 322. Determine t(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22211222 - -201221?\nAnswer: 100120220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/1*(-9)\/(-81)*6. Which is the smallest value? (a) -3 (b) t (c) 1\/233\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 433981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2781396?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110 = 5*f + 5*t, 3*f + 6*t = 37*t - 26*t + 118 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -591*n + 299*n + 32036*n**2 + 292*n.\nAnswer: 32036*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/2)\/(-45))\/(((-588)\/15680)\/((-30)\/(-24)))\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrevqvt. Give prob of sequence nr.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 19 = -3. Let k be (-3)\/((-2)\/(-2)) - u. Solve 0 = k*z - 24 + 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - d**2 - 5*d - 10. Let z be p(-3). Differentiate -16*m - z*m + 5*m + 3*m + 13 with respect to m.\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2252*k**2 - 8*k + 45214 wrt k?\nAnswer: -4504*k - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 45 = 5*a + 4*l, -4*l = 3*a - 35. Suppose 0 = a*y - 9 - 6, -1403 = -b - 5*y. List the prime factors of 2\/(-3) - b\/(-12).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -3.9. Let f be 1776\/333*(-6)\/(-8). Let m = -91\/51 - -5\/3. Which is the nearest to 3\/7? (a) f (b) o (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 divided by -1?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h**2 + 8*h - 11. Let a(z) = -5*z**2 - 9*z + 12. Let s(x) = 3*a(x) + 4*u(x). Suppose 0 = -298*q + 316*q + 144. Determine s(q).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.840271 take away -82973?\nAnswer: 83021.840271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2341638 - -804638. What is a rounded to the nearest ten thousand?\nAnswer: -1540000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 239799748 divided by -10426076\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**9*u**3*u*u*(u\/(u\/(u\/((u*u**(-11))\/u)*u)))\/(u\/(((u*(u*u**(-1\/9))\/u*u)\/u)\/u*u)) assuming u is positive.\nAnswer: u**(251\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4 - 2*h**2 - 1 - 4*h - 3 + 7. Let f(v) = 3*v**2 + 4*v - 8. Let l(q) = -4*b(q) - 3*f(q). What is u in l(u) = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 3*b**2 + 2*b + 1. Let v be n(2). What is the highest common factor of 2 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 109.\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -207*c**3 + 698*c**2 - 4*c**5 + 1092*c**2 - 233*c**3 - 2750 + 9*c**5 - 525*c = 0.\nAnswer: -11, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2*t - 16, t = -4*t - 4*h - 36. Let s be 6\/2 - (t + 3). Determine p, given that 0*p**4 + 3*p**4 - s*p**2 - p**4 - 2*p**2 + 4*p = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a - 6. Let b be g(-3). Let s be b\/18 - 52\/(-24). Is 14 a factor of 5412\/77 + s\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 954243 to the power of 1\/2, to the nearest integer?\nAnswer: 977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 415?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8091 and 10972791.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 6. Let x be (-1)\/(q\/4)*-6. Suppose 0 = x*m + 6 + 14. Which is smaller: -3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -175 - -175. Suppose 5*n - 4385 - 5840 = v. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-26) + (-4152)\/(-52). Let b be (-42)\/(-35)*f\/(-3). Let o = -10 - b. What is the lowest common multiple of o and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.2684 * -2039.\nAnswer: -6664.2676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -122.54 + 139.4. Let a = w - 17. Let c = a + 0.1400028. What is c rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1013703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 13*a - 1. Let g(n) = n + 8 - 1 + 0*n + 4*n - n**2. Let y be g(6). Let m be t(y). Solve -h - m = 3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9\/7516285 or -1?\nAnswer: 9\/7516285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 110\/(-6)*10\/((-150)\/(-27))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -2 + 4 + 100 + -106.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -776 + 776 - 190637*b.\nAnswer: -190637*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a milligram in micrograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z + t + 32, -z + 29*t = 26*t - 2*t - 118 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-9)\/108)\/((-312)\/702).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11560 + 3222538 + 17591902 = -90*x. Round x to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 761 divide 29003410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -51\/2*o**2 - 1\/5*o**6 + 125*o + 0*o**5 + 2\/3*o**3 + 0*o**4 + 0. Find the first derivative of k(u) wrt u.\nAnswer: -24*u**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*o**4\/9 - 13*o**3 + 43*o**2\/9 + 131*o\/3 - 11 = 0.\nAnswer: -3, 1\/4, 11\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 51*x**2 - 628*x - 244249 wrt x.\nAnswer: 102*x - 628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 17 = 3*a - p, 5*p - 25 = 0. What is the closest to 1 in 0, a, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*d**3*f**2*l + 185*d**3*f*l**2 + d**2*f**2*l - 6*d**2 - d*f**2*l + 44*d*l**2 - f**2*l**2 + 2 wrt l?\nAnswer: 370*d**3*f + 88*d - 2*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -80.0011118 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.6386, -1, 0.2 in decreasing order.\nAnswer: 0.2, -1, -2.6386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k - k - 2*k + (-3*k + 2 - 2)*(7 + 16 + 21) - 5*k + 3*k + 7*k in the form i*k + x and give i.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-29)\/(-290))\/(1\/4).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**2 + 1359*l - 690. Give g(-680).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 10:41 PM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 + 16. Let w = -6 - b. Sort 5, w, -0.4.\nAnswer: -0.4, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(50 - 21 - 6)*(3 - 3*m**4 - 3 + (0*m + 2*m**2 + 0*m)*(-4*m**2 + 2*m**2 - 3*m**2)).\nAnswer: 598*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445 is divided by 151.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*r = -36, 2 = -y - 2*r - 4. Let o be 4\/(-3)*18\/y. Solve -t + o*t - 4 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -107*d**2\/2 + 4*d + 1. Let h be q(-1). Let g = h + -55. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 758623, 3034486, 6827589, 12137932, 18965515?\n\"Answer: 758620*r**2 + 3*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 52202491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d = -20*d + 8. Let v(f) = -3*f**2 + 25*f + 6. What is the remainder when v(8) is divided by 1\/(-4)*d - (-34)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3436, 6872, 10308, 13744?\n\"Answer: 3436*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/1024 and 49\/122240?\nAnswer: 977920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10718 is divided by 71?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*k + 6*k - 27594 = 0. What is the greatest common divisor of k and 574?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of 6*z**5\/5 - z**4\/6 - z**3\/3 - z**2\/2 + 65*z. Give v(-1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7917757569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6945 + 8597 + 14*i + 14*i - 6*i - 24*i.\nAnswer: -2*i + 15542","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/4)\/((-9)\/24). Let c(d) = 46*d - 10. Let y be c(i). Let v = y + -47. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 91.7 - 92. Is -14 less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**2. Let n(l) = -78*l**2 + 27*l - 27. Let t(k) = 6*k**2 - 2*k + 2. Let o(c) = 2*n(c) + 27*t(c). Determine f(o(g)).\nAnswer: -72*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 2*n - 1. Let a be u(-1). Suppose -3*s + 210 + 219 = a. Is 13 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/657 and -52\/14819?\nAnswer: 133371","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 20.93693 days?\nAnswer: 1808950752000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*i**3 - 1079 + 540 - 205*i**3 + 539 + i to the form h + a*i**2 + w*i + o*i**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9100403.\nAnswer: 13, 29, 101, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 4*o - 22 = 4, -5*o - 28 = -p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-12) + 22\/12. Suppose -2*t + 24 = 4*p, s*t + t - 5*p - 14 = 0. Let u = 13 - t. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence puap when four letters picked without replacement from {p: 2, a: 2, u: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/17, 0.1, -3\/7, 0.02?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -51673 (base 16) to base 2\nAnswer: -1010001011001110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -t**8\/14 - 11*t**5\/20 - 205*t**4\/24 + 174*t**2 + 2*t. Find the second derivative of h(u) wrt u.\nAnswer: -480*u**3 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/9)\/(-4))\/(53\/(-477))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1055511, 1055318, 1055125?\n\"Answer: -193*h + 1055704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18.3412 - -0.4052. Let n = 44 - 62. Let i = n - r. Round i to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*n)*(2*n + 51 - 51 - 4*n**2).\nAnswer: -8*n**3 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-129*w**4 + 90772126*w**2 - 90772126*w**2 - 23*w)*(3 + 2 - 4).\nAnswer: -129*w**4 - 23*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12121 - -43938. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/7, -3\/2, 0.4, -0.494?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 144100222403 + -3?\nAnswer: 144100222400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -35 (base 13) to base 2\nAnswer: -101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18532 - 11794 + 23250 = 28*z. What is the highest common divisor of z and 493?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -93 - -373. Let v be g\/15*(-18)\/(-8). Calculate the highest common factor of v and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5c (base 16) to base 14.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2040, -1978, -1916, -1854?\n\"Answer: 62*k - 2102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15146642?\nAnswer: 2, 7, 29, 37307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 277 a factor of 5090429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-46)\/(-276) - (19\/6 - 1). Does 3 divide 3\/n*4\/(-6) - -18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 0.2721431\nAnswer: 0.02721431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 8:22 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 12:00 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -1. Let x(l) = 1. Let q(f) = -2*g(f) - x(f). Let y(d) = -3*d - 3. Let o(j) = -4*q(j) - y(j). Give o(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 617, 1119, 1621, 2123, 2625, 3127?\nAnswer: 3629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 675\/143 or 4?\nAnswer: 675\/143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 0. Which is the second biggest value? (a) -5 (b) 0.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5 = -5*n. Suppose -n*s = -2*s - 567. Suppose -3*u = -0*u - t - 619, -u = 4*t - s. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -300 (base 5) in base 14?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/(-40) + ((-4104)\/(-64))\/19. Let x(p) = -p**2 + p - 4. Let l(v) = -v**2 + v - 7. Give k*l(d) - 5*x(d).\nAnswer: 2*d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 12:37 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122322201 (base 6) to base 14.\nAnswer: -455ac1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.156 and -0.0471.\nAnswer: 0.0073476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*o = 38*o + 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3463653 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 40.\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1495 - -4.16.\nAnswer: 1499.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(875) - sqrt(875)*-1) + sqrt(875)))\/(2*sqrt(720)*-1 - sqrt(720)).\nAnswer: 5*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4\/3)*p*p)**(-11) assuming p is positive.\nAnswer: p**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5222 + 5097 = -25*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 20*p**2 - 13*p. Let h(i) = 7*i**2 - 4*i. Determine 8*h(a) - 3*r(a).\nAnswer: -4*a**2 + 7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2 + 4. Let a be b(2). Solve a = -0*i - 3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 4*i - 16, -2*i - 4*u - 8 = -u. Solve i*o + 12 = -o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48 + 13. Let m be (-12)\/18 + x\/(-3). Let r = 16 - m. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.5 - 3. Let v = -0.018 + -21.982. Let k = -27 - v. Which is the biggest value? (a) 0.2 (b) k (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j + 21*j - 13*j - 2*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from vewdgeggcddgdw.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 1. Suppose -15 = -f*r + 2*x + x, -4*x - 24 = -4*r. Suppose 0*c + r*c = 351. What is the remainder when c is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148084.\nAnswer: 2, 37021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8481 by 4766.\nAnswer: -8481\/4766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -63*w - 106*w - 36*w**2 + 11*w**2 + 27*w**2 as p*w + d*w**2 + q and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*h - j + 16, 2*j - 21 = -5*h. Let z be -2 + -1 + h + 7. What is the third derivative of -3*g**2 - z*g**3 + 6*g**3 - g**2 - 9*g**3 wrt g?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2, 17, 38, 65, 98?\n\"Answer: 3*l**2 + 6*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6 - -2) + (-1 + 3)*2. Does 34 divide -10*(r\/(-2) - 17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from {i: 4, y: 7, z: 5}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27.053 - 0.053. Let n = -26.6 + v. Let z = -1.1 + 0.8. What is the second biggest value in z, -0.5, n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (820 + 0)\/((-2)\/(-2000)). Round s to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*b - 110 = 0, b - 2*b + 5 = 0. Let h = -61 + k. Suppose h = 3*p + 26. Which is smaller: p or -3.3?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of 7*o**5\/20 + 5*o**4\/12 + 2*o**3\/3 - 3*o**2 - 6*o. Let c(h) = -h**3 - h**2 - h + 1. Calculate -6*c(i) - p(i).\nAnswer: -i**3 + i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 0.068239142?\nAnswer: -0.0272956568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.6? (a) -6 (b) -0.3 (c) -5 (d) -5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 372 and 12772?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2, -1159728\/5 in descending order.\nAnswer: -0.1, -2, -1159728\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 31, 13, -19, -59, -101?\n\"Answer: c**3 - 13*c**2 + 14*c + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11622 is divided by 680.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.5 - -9. Let r = -0.83 - -0.63. Which is the third biggest value? (a) 2 (b) v (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -72.35 to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1825.\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 679 - 462. Does 17 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dz when two letters picked without replacement from {z: 1, f: 1, d: 6, c: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5412*f**2. Let n(z) = 66*z. What is n(g(j))?\nAnswer: 357192*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-420359.\nAnswer: 1261077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -4284 >= -21426\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15028640?\nAnswer: 2, 5, 11, 8539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 - 28 - (2 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -702887?\nAnswer: 702887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 5*j**5 + 134680*j**4 - 1751830*j**3 - 3907680*j**2 - 2021175*j = 0.\nAnswer: -26949, -1, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 21, 3 in ascending order.\nAnswer: 2, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 427459623 and 2668.\nAnswer: 1709838492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 4*u = -4*x, 6 = x - u. What is the second derivative of -6*s**3 - 23*s - 106*s - 2*s**x - 3*s**3 - 142*s wrt s?\nAnswer: -54*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*r**2*s - 33479*r**2 + 10328*r*s**3 wrt s.\nAnswer: -4*r**2 + 30984*r*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 69*j**2 + 66*j - 45*j**4 - 51 + j + 77*j - 102*j**3 - 9 - 6*j**2 = 0. What is j?\nAnswer: -2, -5\/3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 17*v = 99, 2539*u + 3*v = 2538*u - 25 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 229*p + 1719. What is z(-7)?\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -659535 (base 10) to base 15\nAnswer: -d0640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2. Let u(c) be the first derivative of 13*c**2\/2 - 5*c + 16. Let k be u(3). Let s(p) = -k*p + 53*p - 33*p. Determine g(s(o)).\nAnswer: 196*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**3 - 18*h**2 + 793*h + 6466. What is u(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -y**7\/42 - 247*y**6\/15 + 341*y**3\/6 + 1248*y. What is the second derivative of v(s) wrt s?\nAnswer: -20*s**3 - 5928*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppyppxpppyyxxpwyp. Give prob of picking 1 y and 1 w.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 9*t**2 - 342*t - 4. Let k be z(38). Put -11, 1, k, 3 in decreasing order.\nAnswer: 3, 1, k, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6 + 21)*5\/(-10) and 31\/(-2) + 0 - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 12:42 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3629\/24 + -442\/3. Let c = w - 201\/56. Let b = 3 - 6. What is the third smallest value in c, b, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 153, 281, 363, 375, 293?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -64, 0, -2, -3 in descending order.\nAnswer: 0, -2, -3, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -26ac5b (base 13) in base 8?\nAnswer: -3450052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -2*t - t + 51, -2*t + 3*x + 17 = 0. Let s = t + -7. What are the prime factors of (s\/(-12))\/(1\/(-36))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 8*n**2 - 51*n + 6. Let k = 465 + -449. Calculate the remainder when l(5) is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25521391 at least 25521390?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 30\/(-5)*1\/(-2). Suppose 2*v = -v + k. Solve 0 = -q + 2 + v for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28508 or 29044?\nAnswer: 29044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 9114?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, r: 1, j: 1, e: 1, d: 2}. What is prob of sequence jss?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 361669486 a multiple of 328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35325 is divided by 73.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 20*n. Let t(c) = 87*c + 78. Determine f(t(w)).\nAnswer: 1740*w + 1560","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p - 3. Let q be d(4). Suppose -3*f = -q*f. Suppose 3*z - 8*z - 34500000 = f. What is z rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*j - 1509 + 907 = -m, 5*j + 4*m + 99 = 0 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/4 + 6\/4. List the prime factors of 2\/(i\/1) + 13.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kekuuukkkuuuu. Give prob of sequence kuk.\nAnswer: 35\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/643?\nAnswer: 1\/643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 3*l**3 + 2*l**2 + 31*l + 16056. Let d(g) = 5*g**2 + 2*g + 15. Calculate 5*d(b) - 3*r(b).\nAnswer: -2*b**2 - 2*b - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**3 + 7*c**2 - 4*c. Let j be 8*(-1)\/(-2*1). Let r(p) = p**3 - 6*p**2 + 3*p. Let k(a) = j*r(a) + 3*h(a). Find the third derivative of k(x) wrt x.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -10 and -13585233414993.\nAnswer: -13585233415003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58615005 is divided by 19538323?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 31*s - 358 = -243. Which is the closest to s? (a) 0.2 (b) 190 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68060699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.265 + 0.265. What is the second smallest value in -0.5, f, -0.047, 3\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9000, 9046, 9106, 9168, 9220, 9250?\nAnswer: 9246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170832.\nAnswer: 2, 3, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(12\/5)*b)\/(b**15\/b))\/(b*b**(-3\/4)*b**10))**(1\/11) assuming b is positive.\nAnswer: b**(-417\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rooa when four letters picked without replacement from {q: 4, a: 3, o: 4, r: 5, e: 3}.\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -24362.6\nAnswer: 121813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.3437 rounded to one decimal place?\nAnswer: 17.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 382971?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus 22005?\nAnswer: -22004.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u - 1. Suppose -15 = -7*j + 2*j. Let i(w) = -w**3 - 4*w**2 - 3*w + 4. Let c be i(-3). Let q = c - j. What is s(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 42 + 36 = -2*z, 5 = -z. Let r = -11 + o. Suppose -2*b = 2*h + 8, -5*b = -7*b + h + 4. Solve b = -4*y + 5*t + 21, -y + r - 2 = -t for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607416809 to the power of 1\/2, to the nearest integer?\nAnswer: 24646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 9\/4, -2, 12, 0.1, 0.4 in increasing order.\nAnswer: -2, -1\/4, 0.1, 0.4, 9\/4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/179202 and 1\/22?\nAnswer: 1971222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7898 + 21c3?\nAnswer: -56a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q + 5 = 19. Let z be (-304)\/(-10) - (-2)\/(-5). Suppose -z = -3*d - q*d. Does 3 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - n + n)*(-1 + 4 + 0) + (-2*n + 2*n - 2*n)*(-2 - 3 + 3) + 0*n + 4*n - 2*n + 0 - n + 0.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from 1.0936.\nAnswer: 0.7936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1757 - 5311 = 997*y + 38794 for y.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(3*b**2 + b**2 - 2*b**2) - 3 - 3*b**2 + 3 + (-2 - 2 + 3)*(b**2 - b**2 + 2*b**2).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 150130135 + -150130134.22000033. Let t = f - 0.78. Round t to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1000869, 1000440, 1000027, 999636, 999273, 998944, 998655?\nAnswer: 998412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z**2 - 16*z + 3. Let d(w) = 7*w**2 - 31*w + 5. What is -3*d(g) + 5*t(g)?\nAnswer: -g**2 + 13*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 74\/5 - 4\/(-20). Suppose -c = -4*c - o. Let z(w) = 7*w + 4. Let s(i) be the second derivative of 2*i**3\/3 + i**2 - 2*i. Calculate c*s(f) + 3*z(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 7. Let b = s - -7. Suppose b = o + o. Solve x + 15 = -4*w, o*x = -x - 3*w - 18 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 + 62 - 125*i + 58 + 130*i**2 - 121*i**2 - 5*i**2.\nAnswer: 5*(i - 24)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*u - 47*u - 7*u + 5*l - 51, u + 28 = 5*l - 8*l for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 119100323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 625 * 636440.\nAnswer: 397775000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -12106*r**3 + 14*r**2 - 14*r + 14. Let g(i) = -3797250*i**3 + 4392*i**2 - 4392*i + 4392. Calculate -7*g(a) + 2196*l(a).\nAnswer: -4026*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 14*w**2 + 2*w - 14. Let g be p(14). Suppose -g = 7*r - 14*r. Sort r, 0.3, -2 in ascending order.\nAnswer: -2, 0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -142 - -1844\/13. What is the nearest to 5 in -2\/7, -2\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*g = 0. Suppose a + a - 844820 = g. Let s = a - 1022410. What is s rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24673548.\nAnswer: 2, 3, 29, 70901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 8:33 PM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 358 - 215. What are the prime factors of c?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 11:35 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 9*l**2 - 24*l + 14. Let t be w(11). Calculate the common denominator of 46 and 6\/(-20)*(4 - (-157)\/t).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) 16\/3 (c) -11 (d) 0.37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s - 3*s + 32. Let j be 108\/(-8)*s\/6. What is the greatest common factor of j and 108?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 603, 598, 605, 630, 679, 758, 873, 1030?\n\"Answer: a**3 - 12*a + 614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 0*c + p = 8, c - 23 = 5*p. Suppose -2*z + c = z. Is 0 less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0544332 and 2.5.\nAnswer: 2.4455668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (736\/24)\/(12\/(-42))*(-87)\/203\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -300*j**3 - 13165*j**2 - 11250983*j - 2 wrt j.\nAnswer: -1800*j - 26330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4049143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 143*n - 186*n + 4 - 4 to h*n + m and give h.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/3635914 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(18) + sqrt(2) + (sqrt(8) + 2 - sqrt(2))**2)*-3.\nAnswer: -33*sqrt(2) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4\/2391, 0.4, 4\/3, -13?\nAnswer: 4\/2391","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 62 - 52. Suppose -29 = x*b + 1. Sort -5, 6, b in descending order.\nAnswer: 6, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/((-18)\/(-6)) + (-598)\/(-39). Let t = -15 + 16. Which is the fourth smallest value? (a) 2\/15 (b) o (c) -4\/3 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 4*x + 97 = 95, 5*p - 11*x = -3 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1695192588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 5:38 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 3908\nAnswer: 390.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*h + 136*h + 24 = 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 392 - -255. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of 79*a**5\/20 + 73*a**3\/6 - a**2\/2 + 28*a. Find the second derivative of q(v) wrt v.\nAnswer: 474*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4 = -0*w. Let q = -25 + 24. Let d = 15 - 16. Which is the closest to d? (a) 0 (b) w (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*w - 2*k - 74, 0 = 44*w - 42*w + 5*k - 4 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3453.\nAnswer: 3, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -7*q**2. Suppose -1179689 = -14*k + 1127455. Let s(n) = 20*n - k + 164796. Give y(s(a)).\nAnswer: -2800*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5281?\nAnswer: 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**2 + 9 - 9)*(3 - 4*f**2 - 3).\nAnswer: -16*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o + 3. Let r(h) = h**2 + h. Suppose 0 = -3*j, 3*a - 2*a + 2 = -3*j. Calculate a*r(f) + k(f).\nAnswer: -2*f**2 + 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 492228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*b*r**4*x**2 - b*r**3 - 11*b*r**2*x**2 - b*r*x - 3*r**5 + r**2*x + 2*r*x**2 wrt r?\nAnswer: -288*b*r*x**2 - 6*b - 180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) 0.3 (c) -35 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 0 - -2628 - (7 + 152\/(-19))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from noonononooeenonoo. Give prob of sequence on.\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -y + 7. Is (-263 - (-1 - (3 + -3)))\/y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 113+4035848216.51\nAnswer: 4035848329.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -109605.999949473 + 109606. What is b rounded to six decimal places?\nAnswer: 0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - s = -2*s + 22, 38 = 3*m - s. Let v be (6\/(m\/(-5)))\/(5\/(-10)). Solve -8 = 2*d + v*k + 13, 5*d - k = -12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66 (base 11) to base 14\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*i - 195. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 244 and 732?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a microsecond in nanoseconds?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 + 9. Let t be q\/(-30)*(2 - -26608). Is t\/18*(-9)\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-15746)\/(-7140) - 12\/42 - 52\/(-520).\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 + 658 = 5*w. Suppose -w = 5*n - 4*m, 5*m = -5*n + 4*m - 146. Calculate the common denominator of 165\/50 - 14*6\/(-12) and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 3, -46, 2\/13.\nAnswer: -46, 2\/13, 4\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c - 11. Let o be f(-8). Suppose 95 = 5*d + o*w, 4*d + 0*d + w - 61 = 0. Suppose -j - 1 = -4*q, 3*j + 5*q - d = -0. Which is bigger: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1011 - -1004. What is the closest to 2 in 2\/3, m, -1\/6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.5 + -0.3. Let k = -19 - -13. Let q be ((-4)\/7)\/(k\/21). What is the biggest value in v, q, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450) - sqrt(450)*-2 - (sqrt(18) + -2*sqrt(18)*-5))\/(-6*4*sqrt(18)\/sqrt(2)).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -368\/9 - -41. Sort 3, 5, a in increasing order.\nAnswer: a, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49212069 - 7312069 = x. What is x rounded to the nearest 1000000?\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4*x - 10 = 0. Let g be 24\/84 - 276\/(-14). Calculate the greatest common divisor of g and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.660914 milligrams to tonnes.\nAnswer: 0.000000007660914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -49, -62, -87, -130, -197, -294, -427, -602?\n\"Answer: -m**3 - 6*m - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*63908.\nAnswer: 19172.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/28 - (-616)\/196?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 + 59. Let q = -3 + p. Let u = 17.99999966 - q. 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: Let o(h) = 9*h**2 - 1. Let p(x) = x**3 - 6*x**2 + 5*x + 1. Suppose -n = -3*u + 14, -4*n = u - 5*n - 4. Let g be p(u). What is the units digit of o(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1214461, -2428904, -3643325, -4857724, -6072101, -7286456, -8500789?\n\"Answer: 11*w**2 - 1214476*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2224)\/(-695))\/(4\/10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/7)\/(540\/(-126))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) - (-4*sqrt(105)\/sqrt(3) - sqrt(35) - sqrt(35)) - sqrt(35))\/sqrt(5)*2.\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j*j*j**15\/j)*j**(6\/13))\/(j**(-3\/7)\/j*j*j\/j**(1\/18)))**2 assuming j is positive.\nAnswer: j**(-23021\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 619756361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -328 + 331. Suppose -4*a - 20 = 2*g - 6*g, 4*g = 2*a + 16. Solve -g = 3*v + i for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 - 4\/2)*3. Suppose -y = -2*b + b. What is the smallest common multiple of 4 and b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1548852 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 323, 1295, 2909, 5159, 8039?\n\"Answer: -s**3 + 327*s**2 - 2*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wg when two letters picked without replacement from {z: 2, c: 1, g: 6, s: 3, w: 4}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**4 - 3*b**5 + 4*b**5 - 2*b**2 + b**4 - b = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -206596*r + 233. Is j(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -70 + 3264?\nAnswer: 3174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0, 2\/7, -0.5, 597.9, 4, -1\/6, 0.058?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3096103583?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) - sqrt(686)*1)\/sqrt(2))**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = q + 3. Let c = 7 + q. Solve -o - 4*d = -c, -o - d + 2 = -0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 109*v**2 + 2495*v + 7. Calculate s(19).\nAnswer: 1204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uoosupnpusseoon. Give prob of sequence opu.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 times -2288215?\nAnswer: 27458580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 12538.72291 to the nearest 100.\nAnswer: 12500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/108 + 6\/(-27). What is the nearest to 2\/13 in n, -2\/5, -0.1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-two fifths of a milligram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*(a\/(a**(-3)*a))\/a*a)**(-16\/9)*a**(2\/3)\/a*a*a*a*a**(-2\/19) assuming a is positive.\nAnswer: a**(-1082\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -886764, -1773523, -2660282, -3547041, -4433800?\nAnswer: -5320559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 6. Find the common denominator of -73\/6 and (-32)\/(-12) - (2 + s).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.284 times 7?\nAnswer: -1.988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-20 - (-14 - 8)) - -9\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2609\/6 - -871\/2. Factor 2\/3 + o*h**4 - 2\/3*h - 2\/3*h**5 + 4\/3*h**3 - 4\/3*h**2.\nAnswer: -2*(h - 1)**3*(h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -6. Suppose -t*h = h - 10. Let b be 8*h*2\/8. Solve 5*o + b*f = -40, 4*f = 4*o - 0 - 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34225 - -34401 - (2 + (1 - -42))\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008700014 rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 9:56 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11016 - 11021. Let t = 7 - 4. Suppose -4*k = -i - 14, -t*i = -k - k + 12. Put 1, k, w, -4 in increasing order.\nAnswer: w, -4, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 62 - 11. Let z(u) = u**3 + 3*u**2 - 5*u - 6. Let k be z(-5). Let s = -14 - k. Calculate the greatest common divisor of s and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -312, -612, -912, -1212, -1512?\nAnswer: -1812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m + 10. Let g be a(-9). Let t(c) = 8*c**2 + 7*c + 5. Let u = -12 - -18. Let b(h) = -17*h**2 - 15*h - 11. Let p(w) = u*b(w) + 13*t(w). What is p(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 6 + 26 = 2*t, -d - t - 10 = 0. Suppose -11 + 31 = -4*v. Sort d, v, -1 in descending order.\nAnswer: -1, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (5 + -3 + 1 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 - 5*z + 22 - 35 in the form o + d*z and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 14 = 4*r, -17 = -4*r + 2*a + 17. Suppose 51 = l + 2*l. Calculate the remainder when l is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300 + 162 = 7*n. What is the highest common factor of 22 and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1792078, -1792203, -1792328, -1792453, -1792578?\n\"Answer: -125*y - 1791953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3565*h - 3257. What is the ten thousands digit of c(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {j: 1, g: 2, l: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 234*t**2 - 12*t + 22. Let a be h(1). Calculate the greatest common divisor of a and 6039.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5143\/10 - 517. Let s = 63 - 25\/2. Find the common denominator of s and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.18 + -19.82. Let o = -114 + 133.9. Let q = o + w. What is the nearest to q in 2\/13, -3, -0.5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/(-7))\/((-10)\/((-560)\/12)))\/(-26)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00417308513 to four decimal places.\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 650.1644 nanometers?\nAnswer: 0.0000000006501644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -u + i, 6*u - 4*i = 3*u + 29. Suppose u*m - 1352 = 592. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**4 + 8059*l**3 + 16009*l**2 wrt l?\nAnswer: 48*l + 48354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/33 and -37\/368589?\nAnswer: 4054479","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkokokkokk. Give prob of picking 1 o and 1 k.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10163 divided by -3.\nAnswer: 10163\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 65*q**3 + 6*q**3 - 20*q**3 + 7 + 1 - 2*q.\nAnswer: -79*q**3 - 2*q + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -413 - -3?\nAnswer: -410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 339*r**3 - 4*r**2 + 3*r - 1. Let q be 1\/(-8) + (-34)\/(-16). Let i be b(q). Suppose 2*k = -3*k + 2*n + i, 2*n + 537 = k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 9 (b) -7 (c) 1.3 (d) 0.5 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (32 + (-15222)\/559)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/63 and -2*74\/(-24)*107\/(-2247).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -234556 divided by -14?\nAnswer: 16754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16096999 + -1802796943\/112. Let h = a - 4146\/7. Calculate the common denominator of -49\/16 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/19 (b) 39 (c) -2\/41 (d) 1 (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - 5)*-1 - -3. Suppose -3*x + j*t = -102, -2*t + 207 = 5*x + 2*t. What is the greatest common factor of x and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/20 - (-6)\/(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 3*l + 3*f + 33, 10*l + f + 36 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 574c94 (base 15) in base 11?\nAnswer: 2397198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2240341 + 3?\nAnswer: 2240344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*g - 1)*(17 - 5 + 8)*(-4*g**4 - 3*g**4 + g**4).\nAnswer: -240*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-11))**(-48)\/(a**(9\/2)*a**(2\/19)*a) assuming a is positive.\nAnswer: a**(19851\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a - 1. Let n(x) = -65*x**2 + 4*x + 9. Determine 4*k(p) - n(p).\nAnswer: 65*p**2 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3812, -3903, -4042, -4253, -4560, -4987, -5558?\n\"Answer: -4*l**3 - 63*l - 3745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5138 = -f + 15*f. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1241 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221886728.\nAnswer: 2, 7, 59, 67157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -1295*v. Let a be p(-3). Let w = -2289 + a. Suppose 3*x + 4621 - w = 4*q, -q = 3*x - 760. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 834, -2 in descending order.\nAnswer: 834, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -2, -3, 5 in increasing order.\nAnswer: -8, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {y: 5, g: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1 + q**3 + 47*q + 3.\nAnswer: q**3 + 47*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8, -33, -132, -295, -528, -837?\n\"Answer: -l**3 - 23*l**2 + 35*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -337*d**4*r - 82*d**2*r**2 + 119*d*r**2 - 24*d*r + 5*r wrt d.\nAnswer: -4044*d**2*r - 164*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5\/6, 5, -1\/10, -9, -19?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (718 - j + 1022 + 2164 + 819 + 21)*(3 - 4 + 3).\nAnswer: -2*j + 9488","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 2. Suppose -k*x + 30 = 4*z - 42, -2 = z. Let f = 23 - x. Which is the smallest value? (a) -3 (b) f (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 1 - (53 + -50) - 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*u - 75*u + 7268 = -5008. Is 62 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 150 = 4*s, -3*q + q - 5*s = -288. Let m = q - 68. What is the remainder when m is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2311201 or -0.071?\nAnswer: -2311201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2 - 3)*(0 - 3 + 1) - 222 - 152 - 66)*(5*p**4 + 3*p**4 - 4*p**4).\nAnswer: -1744*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 1341 = -3*k, 0 = k - 4*t - 428 - 5. Let p = k - 119. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*t + 42*t - 64*t.\nAnswer: 21*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 7*b**2 + 9*b + 6. Let q(m) = -6*m**2 - 8*m - 5. Let u(h) = 3*d(h) + 4*q(h). Let s(r) = 16*r**2 + 25*r + 11. Give -2*s(v) - 11*u(v).\nAnswer: v**2 + 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1620\/(-8))\/(-9))\/(-12*11\/176).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439415 is divided by 20409?\nAnswer: 10826","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u. Let k be p(5). Sort k, 28, -2 in decreasing order.\nAnswer: 28, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 6:34 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 6*f**2 + 0*f**2 - 4*f**2)*(13*f - f - 3*f)*(-3 + 0 + 1) in the form h*f + l + o*f**3 + r*f**2 and give h.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 8, w: 2, e: 2}. What is prob of picking 1 w, 2 y, and 1 e?\nAnswer: 112\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 14538 divided by -1?\nAnswer: -14538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 - 42.000098. What is w rounded to 5 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 195573\/58090 - 1\/17427. What is the common denominator of z and -49\/55?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.2 + 4.199891. What is i rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 5) to base 12\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 26. Suppose -u - z = -3*u. What is the greatest common factor of 126 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -162 - -10735?\nAnswer: 10573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 = 2*z + 3*z. Let t(q) = -q + 69. Let w be t(0). Let r = w + -46. What is the remainder when z is divided by r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -411, -899, -1467, -2115, -2843, -3651?\n\"Answer: -40*c**2 - 368*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 4*x**5\/5 - 4*x**4 + 16*x**3\/3 + 22. Factor n(k).\nAnswer: 4*k**2*(k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 465.\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-320)\/15)\/8*(-21)\/2. Let i = 29 - b. What is the highest common divisor of 9 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((1 + (sqrt(192)*-2 - sqrt(192)) + 0)**2 - (sqrt(192) + -1)*4*2).\nAnswer: -560*sqrt(3) + 8685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2574*s + 2937. What is n(-1)?\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (8\/((-48)\/12318))\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 8:19 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103925059749*w - 207850119519*w + 103925059756*w.\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(15 + (-36720)\/2436 + 4\/(-58)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-16)\/(-28) - 45\/(-56) and 51\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**4\/4 - 1903*a**3 - 7246623*a**2\/2 - 7240915*a - 14478025\/4 = 0.\nAnswer: -3805, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12799 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4381665 is divided by 9981?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 2*b + 55, 107*a - 102*a - 4*b = -85. Let y(t) = -11*t**3 - 10*t**2 + 15. Let j(u) = 5*u**3 + 5*u**2 - 7. Give a*j(f) - 6*y(f).\nAnswer: f**3 - 5*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-15 - -10) + 4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 253 and -0.4.\nAnswer: -101.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**5\/17 - 2242*h**4\/17 + 627196*h**3\/17 + 631684*h**2\/17 - 36894*h - 37026 = 0.\nAnswer: -1, 1, 561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 37*l + 41. Let z be x(29). Round z to the nearest ten.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 20*g = 22*g + 3, -i + 4*g + 21 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/8)\/(f\/(f\/(f*f\/f**(6\/11)))))**(-35))**(-4\/27) assuming f is positive.\nAnswer: f**(-4865\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4*u - 4. Let y be t(5). Suppose -a + 2*g = 3*a - y, -g = -a + 3. Suppose a*q - 4 = -z + 54, 4*q + 5*z - 38 = 0. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*v**2\/5 - 222*v + 2196\/5.\nAnswer: 6*(v - 183)*(v - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 0.3, 2\/3, 0.1, -17 in descending order.\nAnswer: 8, 2\/3, 0.3, 0.1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of 22*d**2 + 0*d**3 + 0 + 0*d - 11\/24*d**4. Let i(l) be the first derivative of l**2 - 1. What is i(p(b))?\nAnswer: -22*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 155 + -154.9. Let l = -3 + 3.4. What is the closest to -1 in l, d, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -54\/385 and -131\/36652.\nAnswer: 183260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h**2 - 19*h + 4. Let m(p) = 2*p**2 + 18*p - 2. Let o(d) = 4*m(d) + 3*s(d). Let c be o(15). Solve c = a + 2*v, 3*a = 6*a + v + 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 44*u = -287 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59\/33, -4\/3, -0.2 in ascending order.\nAnswer: -4\/3, -0.2, 59\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23958 = -1081*f - 13662 - 13750 - 518 for f.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34 and ((-24)\/16)\/(15\/(-123)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-22))\/(110\/(-220))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 210560 and 61040.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2\/5 + 0*b**2 + 4\/5*b**3 + 2\/5*b**4 - 4\/5*b = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vpvvvvvvdvvvt. What is prob of sequence tdp?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -69*h + 65*h + 14, 3 = h - q for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*s - 4 = 0. Let o = 5 - s. Suppose -r - 122 = -o*n, n - 2*r - 8 = 41. Calculate the highest common factor of n and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 9:20 AM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1244 - -1.1244. Which is the nearest to p? (a) -1\/2 (b) -9 (c) -4\/7 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-110)\/165*-1*(-6)\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 3*x**2 - 2*x + 25. Let b be o(-5). Let j(n) = 4*n + 46. Determine j(b).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2716476 a multiple of 443?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**6*x**(1\/4)*(x*x**(2\/19)\/x*x)\/x*x*(((x**(1\/2)*x)\/x)\/x)\/x assuming x is positive.\nAnswer: x**(445\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 162073729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -81*p - 5. Suppose 76*b = -224 + 604. Let q(y) = -40*y - 3. Determine b*q(s) - 3*f(s).\nAnswer: 43*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 3*g + 24 = 0, 5*x = -g + 3*g + 25 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 181 - 175. Let w(i) = 15*i**2 + 43*i - 35. Let r(v) = -2*v**2 - 2*v + 1. Let u(g) = j*r(g) + w(g). Differentiate u(x) wrt x.\nAnswer: 6*x + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -2, -17435, -9, 9, 1 in descending order.\nAnswer: 9, 3, 1, 0, -2, -9, -17435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from chhhchchhhc. Give prob of picking 1 c and 1 h.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-1*(0 - -1)). Let z(v) = 0*v - 4 + v**3 + 6 + 6*v**2 - 4*v - 2*v**3. What is z(a)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 6*y = -2*i + 32, 0 = 8*y - 5*y + 57*i - 322 - 356 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 56, 2741, 1, 13 in increasing order.\nAnswer: -4, 1, 5, 13, 56, 2741","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7*20\/(-4) - 0. Let w = j + 82. What are the prime factors of w?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 313 - 236. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.6, -2, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/4 of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-3\/5)*x)**(1\/35)\/(x**(-13)*((x*(x\/(x**(4\/25)\/x))\/x*x)\/x*x)\/x*x))**(-29\/2) assuming x is positive.\nAnswer: x**(-5162\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -224 - -225. Solve 0*k = k - i for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4619239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 7189171, -4.\nAnswer: -4, 34, 7189171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7008 by 48.\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00022917 to five decimal places.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, 0.3, -4, 1, -48 in decreasing order.\nAnswer: 33, 1, 0.3, -4, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 8. Suppose -j - 2*k = n - 6, -2*k = 0. What is the third derivative of -4*m**6 + 7*m**2 - 4*m**j + 0*m**6 wrt m?\nAnswer: -480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32537297.78 to the nearest one thousand.\nAnswer: 32537000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 + 2915*f + 8700.\nAnswer: 5*(f + 3)*(f + 580)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 614475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63 + -60. What is the remainder when f is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*8\/(-36) - 8\/(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, -15, 0.69, 96.6 in increasing order.\nAnswer: -15, 0.02, 0.69, 96.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9339 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**3 - t**2 + 2*t + 3. Let v be w(-2). Let s = v + -15. Sort s, 3, 0.\nAnswer: s, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 38791.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 103 - 107. Let k be 28*(2 - (-4)\/z). Solve w = -5*y + k, -y - y = 5*w - 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 4. Suppose 3*d + 52 = o*d. Factor -c**4 - 14*c**3 + d*c**3 + 0*c**2 + 0*c**2.\nAnswer: -c**3*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4191 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -8, 10, -3\/7, 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79362089 to the nearest integer?\nAnswer: 8909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 5*y - 1. Let r(o) be the third derivative of -o**7\/5040 + o**5\/6 - 3*o**2. Let u(k) be the third derivative of r(k). Give -3*u(x) - z(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 727710*p**5*r + 8*p**4*r - 3*p**2 - 3305*p*r - 2*p + 6*r + 8 wrt p.\nAnswer: 43662600*p**2*r + 192*p*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 63695 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 4:40 PM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**2 - 7*n**2 - n**2.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -19*k**3 - 10*k**2 + 10*k + 6. Let a = -151 + 146. Is t(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, n: 1}. What is prob of picking 2 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4926 + 4924. Which is the biggest value? (a) 5\/7 (b) -5 (c) -4 (d) i (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -60169 less than or equal to 0.3833?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -43\/37 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 - 1564*u + 245920. Determine q(564).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 5*x + 5245 = 0, -16*g + 12*g = 3*x - 4201. What is the remainder when g is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -267 + 267. Let r be (-1 + q)\/((-36)\/(-8) - 5). Solve 4*l + 0 - 12 = -4*f, 5*l - 15 = -r*f for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -14. Let f(d) = d + 4. What is f(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -3*j. What is the remainder when 0 + 60\/(2 - j) is divided by (-78)\/(-5) - (-56)\/140?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 8*u**2 + 6*u + 10. Let w be q(7). Let p = -4 + 6. Let t(v) = v**2 - 5*v + w*v + p*v. Let n(c) = -2*c**2. Determine n(t(z)).\nAnswer: -2*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + 4 + 4\/(-2). Suppose l*w - 5*i - 3 - 17 = 0, -2*w - 2 = 3*i. Find the second derivative of -w*v**3 - v + 2*v**3 - 2*v**5 wrt v.\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -p**7\/840 - p**6\/90 + 7*p**5\/120 + 7*p**4\/24 - p**3 - 7*p**2. Let a(q) be the first derivative of j(q). What is a(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11802057 is divided by 655669.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 87\/18 + (-1)\/(-6). Suppose -3*n - u*s = -4*n + 12, -8 = 4*s. Let y = 54.73 + -54.23. Sort 11, n, y in descending order.\nAnswer: 11, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (26\/(-104) + (-46995)\/(-4))*2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/7)\/(d**(1\/2)\/d)*d**0*d*d\/((d\/d**0*d*d)\/d))\/((d\/((d*d*d**(-6))\/d))\/(d*d\/(d*d*d*d*d**(2\/7))*d)*d**(-1)*d**(-5\/6)) assuming d is positive.\nAnswer: d**(-101\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r**2 - 25*r - 45. Let d be y(-5). Put -3, 3, -53, d in ascending order.\nAnswer: -53, -3, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -0*m + 378. Let w = m + 60. Suppose -4 = -4*k + 16. Solve -w*i + i - k = -5*x, 0 = -5*x - i - 13 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -43 + 3323331?\nAnswer: 3323244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - 6*f - 5. Let a be u(-2). Suppose y + y = -4*t + 4, 5*y + a*t = 31. Solve 3 = -5*h + y for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -103*k**5*u + 2*k**3*u + 16*k**2*u + 4*k**2 wrt k?\nAnswer: -6180*k**2*u + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m**2 + 16*m + 1. Let f = 3085 - 3089. Give p(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 292 + -290. Let d(j) be the first derivative of -2\/5*j**b + 4\/15*j**3 + 0*j - 3 - 1\/20*j**4. Factor d(h).\nAnswer: -h*(h - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -24*s**3 - 3*s**2 - 2. Suppose -y = -31 + 28. Suppose -y*u = 3*h + 18, h - 3*h = 5*u + 18. Is w(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*l**4 + 5*l**4 - 6*l**4 + 0*l**4 - 3*l**4 + 5*l**4 + (-l**3 - 2 + 2)*(1056 + 58*l - 1056).\nAnswer: -66*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12525*h + 82 + 12523*h - 25037*h to a + d*h and give a.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1413225 a multiple of 670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 12 = -22. Let t(r) = r - 4. Let l(v) = -3*v + 12. Suppose 2*s = -d + 7, -5*d = s - 0*s + 19. Let n(c) = m*t(c) + s*l(c). Give n(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -261 + 418. Find m, given that -10*m**5 + i*m**5 + 29*m + 444*m**2 - 27*m - 74*m - 450*m**3 - 819*m**4 = 0.\nAnswer: -1, 0, 2\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away -20446291?\nAnswer: 20446292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + g - 4. Suppose r = 4*j + 6, -g*j - 2 = -0*j. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -253*h - 2. Let y(o) = -10*o. Give u(y(z)).\nAnswer: 2530*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 190 less than -16513355.6?\nAnswer: -16513545.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - f + 4 = 0. Let t(s) = 2 + 6*s**2 + 37*s + 3*s**f + s**3 - 30*s. Let b be t(-8). Calculate the highest common factor of b and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(-3)\/15*((-6)\/2)\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of -c**5\/15 - 3*c**4\/8 + c**3\/2 - 2*c**2 - 167*c. Give b(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 2. Let b = -92\/133 + 24\/19. Is r greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5494 = 5492?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a tonne in kilograms?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 5. Let o(x) = x**3 - 4*x**2 + x + 1. Let m be o(3). Let y(r) = -11. Let h(k) = -60. Let i(f) = -4*h(f) + 22*y(f). Determine m*i(d) + 2*b(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(7\/(-3))*10\/(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -11*t + 55. Give x(-5).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 18*x**3 + 142*x**2 - 17*x - 4. Let f be r(-8). Let c be -3 - ((-59)\/5)\/1. Solve -6\/5*m**f + c*m**3 + 0 - 64\/5*m**2 - 64\/5*m = 0 for m.\nAnswer: -2\/3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, -4, -3, 2.7164 in increasing order.\nAnswer: -4, -3, -0.6, 2.7164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -89.014 + 89.33. What is the third biggest value in 0.2, s, 0, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 590.9 - 555. Let p = v - 26.9. Which is the second biggest value? (a) -5 (b) 0 (c) p (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 78\/24 - 1\/4. Solve -3*c = x + 16, 0*x = -3*x - n*c - 18 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 6*l - 11. Let r be u(-8). Suppose -3 = -c - 2, r*j + c - 26 = 0. Solve -6*g + 4*g + i - 3 = 0, -18 = g + j*i for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of n**5\/20 + n**4\/6 - n**2\/2 - n - 3. Give p(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 7*v - 52. Let z be f(0). Let g = 53 + z. Solve 3*c = 4 - g for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1 + sqrt(272)*-1 + 4 - ((1 + sqrt(272))*-6 + 1))*4)**2.\nAnswer: 184320*sqrt(17) + 3953664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-3395)\/(-6930) - 49\/(-882)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5708 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2566 - -8086. List the prime factors of u.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a + 76. Let g be t(-23). Suppose k + 228 = g*k. Suppose -5*n + 1 + 4 = 2*q, 4*n - k = -5*q. Solve -z - z = -q for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9550 and 2.\nAnswer: 9550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of y**3 - 32. Let o(d) = 5*d. Calculate o(p(l)).\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + b2?\nAnswer: b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2*a + 50 = -0*k, a = 0. Let v = k + 28. Suppose -5*w - 8 = -2*g, -v*g - 2 = 2*w - 14. Solve w*u = -2*u + 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 7:58 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 20 = -0*m + 2*m, 16 = -2*m + 4*w. Suppose -p = -m*p - 3. Let s = 17 + p. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9606 and 44017894.\nAnswer: 132053682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-794)\/8)\/(-397))\/(2\/8*40\/6)?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 0.11079.\nAnswer: -0.044316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**5 + 42*s**4 + 168*s**3 - 1312*s**2 - 8640*s - 7200 = 0. What is s?\nAnswer: -10, -6, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 = 4*j - 5*t, -184 = -5*j - t + 4*t. Let m = j - 37. Is -1\/89 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 517 - 492 = -5*b + 2*k, 4*k + 20 = -4*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 + -27.9. Let r = a + -2.2. What is the biggest value in 3, 1\/2, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v + 16. Let g be x(11). Suppose 4*q - 1095 = -g*k, -3*q - 1110 = -5*k - 4*q. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1356 = -x - 5*s, 6808 = 5*x - 3*s - 0*s. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27789*w = -27812*w + 161 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*o - 32, -4*o + 24 = -2*n - 2*o. Let k(i) = i**2 + 12*i - 24. Let g be k(n). List the prime factors of 3 - -2*(g + 81).\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94330974 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**3 - 14*q**2 - 134*q + 497. Give p(3).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a464d2 - -99?\nAnswer: 1a4658b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*w - 10 = 0, -8740*o + 2*w = -8742*o + 18. Solve -4\/7*z**o + 0 - 48\/7*z = 0.\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 + 389*f.\nAnswer: -f*(f - 389)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 11 - 32 = 0. Calculate the highest common divisor of 3 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - ((-12 - -8 - 3 - -6) + 23).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(2160) + sqrt(2160))*-1*3)\/(sqrt(768)*1 + -3*sqrt(108)).\nAnswer: 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005610305756 rounded to five dps?\nAnswer: -0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*d**4*v + 104*d**3*v + d**2*v - 29*d*v + d + 72*v wrt d.\nAnswer: 36*d**2*v + 624*d*v + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6697350 and 72182550.\nAnswer: 649642950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x**2 - 31*x + 15. Give w(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3892481957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -6*f**3 - 2*f**2 + 5*f - 5. Let v = -173 + 178. Suppose -w + v = -2*w. Let h(c) = -c**3 + c - 1. What is w*h(j) + q(j)?\nAnswer: -j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2132499 is divided by 266512?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 250253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/1817298 and -20\/459?\nAnswer: 92682198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007656259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 22*v - 9. Let o be h(4). Let n(w) = -155*w + o*w + 76*w + 9*w**2. Let f(d) = -2*d**2. Calculate f(n(r)).\nAnswer: -162*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4820*y - 18. Let g(c) = 1202*c + 4. Give 9*g(x) + 2*m(x).\nAnswer: 1178*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -563 divided by 2?\nAnswer: -563\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13842171 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-20)\/12*-2086*3 + (-194)\/97?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1446683, 1446653, 1446603, 1446533?\n\"Answer: -10*x**2 + 1446693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.028 and 10490.6.\nAnswer: 10490.572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = u + v, 2*v - 17 = u - v for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243*a**3 + a - 721*a**2 + 723*a**2 - 9*a**3.\nAnswer: 234*a**3 + 2*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: 3690.2 * -784.7\nAnswer: -2895699.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 6*z - 57 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 9*v**2 - 5*v + 12. Let a(l) = -l**2 + 21*l - 89. Let t be a(7). Determine i(t).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 6*o + 3. Let k(t) = t**2 + 5*t - 2. Let z(r) = 5*c(r) + 6*k(r). Let y(i) be the first derivative of z(i). Let n(v) = -21*v**2. Give n(y(g)).\nAnswer: -84*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 485 = -9*x. Let c = 46 + x. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-6)*o)\/((o**2*o*o*o)\/o*o))\/(o**(-2\/13)*o**(-2\/7)) assuming o is positive.\nAnswer: o**(-779\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 - 27 = -7*p. Solve 0 = l - 3*l + p for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 316672?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -7. Let d be 2\/3 + 8\/6. Suppose p + 0 = d. Solve -3*s - p = -n*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/198 - (-35)\/(-308) - 1.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 2*a**2. Let x be d(-2). Suppose -2*y + x = 5*k - 1, 5*y - 12 = -3*k. Suppose y*m = 3546 + 2607. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k. Let t(x) = 7*x**2 + x + 7. Let s(r) = -r**2 - 1. Let n(q) = 6*s(q) + t(q). Let d(v) = -j(v) + n(v). Factor d(h).\nAnswer: (h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3 + ((sqrt(171)*3)\/sqrt(9)*-4)**2 + 2 + (sqrt(2736) - (0 + sqrt(2736)))**2.\nAnswer: 2743","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(605) + -5)**2.\nAnswer: 110*sqrt(5) + 630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ekexxv. Give prob of sequence ekv.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 353 - 345. Suppose 389*r - 414*r = -375. Solve r*z = b*z + 21 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 16*r + 38. Let a be o(20). Let h be 9\/(-45) + a\/(-10) + -3. Is h greater than 3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 666.3803ug?\nAnswer: 0.0000000006663803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -16*c**3 + 3*c**2. Let x(r) = 17*r**3 - 2*r**2. Calculate -2*b(m) - 3*x(m).\nAnswer: -19*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 8 = 5*v, -b + 0 + 4 = v. Suppose -3*n + 69 = b*t + 16, n + 49 = 2*t. What is the greatest common divisor of t and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -4, -7, -0.01, -1\/5, -0.335?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*294\/70*918\/189.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/76203 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 391*l - 810 = 428*l + 1447 for l.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven sixteenths of a kilometer?\nAnswer: 43750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 225 divided by -489448.\nAnswer: -225\/489448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/61)*b\/b**(-2\/69)*b*b assuming b is positive.\nAnswer: b**(12887\/4209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/4)*(k\/k**(-2))\/k)\/(k**(-2)\/k*k)**(-47))**(-33\/5) assuming k is positive.\nAnswer: k**(12111\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*d - 2*d**2 - 1 + 6*d - 16*d)*(-60 - 75 - 130) to the form p*d + q + g*d**2 and give q.\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 398970?\nAnswer: 2, 3, 5, 11, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 31402674 and -6378.\nAnswer: 31396296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -23, 38, 99, 160, 221?\n\"Answer: 61*i - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/((-4)\/(-460)*5). What is the tens digit of d\/(-10) - (-5 + 135\/25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 521 is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10 - -9) + (-446)\/(-2). Suppose i = 5*d - 270, -4*d + 5*i - 3*i + j = 0. Let w = 269\/5 - d. Which is the third smallest value? (a) w (b) 3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.142 in 8, 2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1430 by 9.\nAnswer: -1430\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2626097*v. Let r(t) = t + 4. Let h be r(-3). Let d be m(h). Let p = 1226097 + d. What is p rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of g**4\/24 + 3*g**3\/2 + 10*g**2. Let u be q(-4). Suppose -2 = u*x - 17. Solve -4 = -5*b + x*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a hour in minutes?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 6*d**2 + 7*d + 4. Let g be i(-4). Suppose -g*n = -n - 434. Calculate the highest common factor of 93 and n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25176 > 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -6. Suppose l = 2*m + 8. Let x = 5 + m. Let n(t) = -9*t**3 + t**2 - t. Give n(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-57)\/(-76))\/(1\/(-4)) + 1196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f - 6. Let c be h(-9). Sort c, 0.1, -2 in decreasing order.\nAnswer: c, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 5. Suppose a - 129 = -4*g + 6*a, 3*g + 4*a - 89 = d. Let v = -20 + g. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 952242 is divided by 190443?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 18*h + 4. Let b be z(17). Suppose 4*n + q + 19 = 0, 0 = -5*n - 2*q - 2*q - b. Let j be (6\/n)\/((-6)\/20). Solve j*d = 4 - 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 17*t = 338. Let i = 30 + t. Let u(r) = -r**2 - r. What is u(i)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 7:30 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-4)*c)\/(c\/(c\/(c*c**2*c*c*c))))**(-6)*(c**7*c**(2\/27))**(-15) assuming c is positive.\nAnswer: c**(-469\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 353\/170 - 57\/34. What is the third smallest value in 0, -1\/12, c, 21.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6417156 (base 8) to base 12.\nAnswer: -6a66ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*f = -24*f - 1020. Let q = f + 591. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-14))\/((-20)\/546*2334\/1945)?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m - 38 + 31 - m.\nAnswer: -m - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 136 and 4124504.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (28\/(-12))\/(7\/(-21)). Find the common denominator of -218*-2*d\/504 and 73\/56.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -365*w + 5. Let u be y(-3). Suppose 4*n + h - u = 0, -2*h + 1360 = 5*n + 3*h. Suppose -n = -4*r - 3*s, 0*r = 3*r - s - 220. Is r a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 244 + 6373326?\nAnswer: 6373571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(6\/(-15) - (-611)\/65). Solve -2*r + s = -5*i, -4*i + 2 - 26 = -4*r for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of 0*u - 159*u**2 - 7\/6*u**3 - 1\/12*u**4 + 0. Give r(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from blnlltlgbtlbltng. Give prob of picking 3 t.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -30 - 2b?\nAnswer: -5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/15)\/(75\/125).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 1\/13226 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1.3 times 427\nAnswer: -555.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 90*l**5 + 700*l.\nAnswer: 1800*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 245a06323 - 1?\nAnswer: 245a06322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7\/2 (b) 0.21 (c) -4 (d) -2\/17 (e) -0.2 (f) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.1, 2, -5\/3, 0?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w + 20*w = -1035. Let l = 10427\/10 - w. Calculate the common denominator of l and 151\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.5935012 - -1.29349. Let k = 0.7 - c. What is k rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**3*g**2 + 3*a**3*r + 101*a*g**2*r - 45*a*g**2 - 4*a*r - 25*g**2 with respect to r.\nAnswer: 3*a**3 + 101*a*g**2 - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15010252?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*(-5)\/25*100\/8. Solve 5 + x = -5*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -22*m + 314. Calculate z(31).\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189 = -2*u + 163. Let q(z) = z**2 + 12*z - 14. Let x be q(u). What is the units digit of 1 + 3 + -3 + 195 + x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wtwwyltytttt. What is prob of picking 2 w?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**4\/2 - 14*i**3 + 29*i**2\/2 = 0. Calculate i.\nAnswer: -29, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21 - 4?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 5 - 16)*(0*r - 3*r + 2*r) + 8*r + 0 + 0.\nAnswer: 34*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 206 + 191 = 2*a, 4*m + 12 = -a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 8*a - 4. Let g(z) = -3*z**2 + 2*z**2 + 17*z - z**3 - 5 + 19*z**2 + 2*z. Let b be g(19). Does 11 divide j(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/6 - 4*n**2 - 2101*n\/6 + 354.\nAnswer: (n - 59)*(n - 1)*(n + 36)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*o + 4*g, -3*o = -o - 3*g + 2. Suppose -2*q = -o*i + 1631, 2*i - 4*q = -7*q + 660. Calculate the remainder when i is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/25*(-2)\/(-2)*2.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1589, 1763, 1937, 2111, 2285, 2459?\n\"Answer: 174*m + 1415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19217 - 17770. Is -2 at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 6 - 4 = x, -8 = -2*x for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 63221928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -26 in decreasing order.\nAnswer: 5, 2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.89 - 0.8857. Round p to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -19*q + 9*q + 12*q**2 - 8 - q**3 - 1. Let n be a(11). Is n greater than or equal to 9\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = -14*z + 16*z. Calculate the smallest common multiple of z and 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - w**2 + w - 2. Let s be u(2). Suppose 932 = s*k - 240. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (72\/135)\/(84\/(-20))*(273\/(-28))\/13\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*l - 6*l + 4*l + 1 - 4*l - 1 + (-1 - l + 1)*(2 + 1 - 1).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.08 and -2.3.\nAnswer: 0.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 5*k = -3*o - 18, 4*k = -2*o - 12 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**4\/w)\/w)\/(w\/w**(-18\/11)))\/(w**(-13\/5)*w)**(4\/11) assuming w is positive.\nAnswer: w**(-3\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12827589, -12827607, -12827629, -12827655?\n\"Answer: -2*o**2 - 12*o - 12827575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w + 5*q + 5, -2*w + 136*q - 64*q = 67*q for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2046*w + 321271. Calculate c(-157).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - 4*q - 3. Let z be r(0). Let d(k) = -25*k**3 - 5*k - 14. List the prime factors of d(z).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/19 (b) -0.44 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (0 + (0 - -7) + 0) - -14\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -p**4\/4 + 5*p**3\/3 + 2*p**2 + 3*p + 198. Determine z(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223042135 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -225*c - 2302 + 52 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -18*h + 13*h. What are the prime factors of h\/(-21) - (-1059)\/21?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -151 + 84. Let q = -1.1972 + 0.9972. What is the biggest value in q, 1\/3, i?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7455078.\nAnswer: 2, 3, 17, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -b + 6, -r = 3*b - 2*r + 3. Solve -n - 3 = -b*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 8*z = 21. Let a be 6 - (5 + -3 - z). Let k(q) = 5*q**2 - 2*q. Let v(r) = -r**3 + 26*r**2 - 10*r. Let o(g) = -11*k(g) + 2*v(g). Give o(a).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -8. Suppose 9 - 1 = -j*g. Let q be (-1)\/(1\/g) - 902. What is q rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 100181841 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (-3 - (-19 + -38 + 14)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243 - 328*s**3 - 3*s**2 - 625*s**3 - 243 + s**2.\nAnswer: -953*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*p**2 - 8*p**5 + 14*p**5 + 12*p**2 - 5*p wrt p.\nAnswer: 360*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -109, -231, -351, -469, -585, -699, -811?\n\"Answer: d**2 - 125*d + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -3.5. Let z = -0.8 + 0.3. Let d = z - r. What is the second biggest value in d, 4, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*s + 25*s + 207 - 105 - 102.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**3 - 6*n**2 - 2*n - 3. Let m(b) = 2*b**3 + 5*b**2 + 2*b + 2. Let z(d) = -d**3 - 16*d**2 + 22*d + 82. Let y be z(-17). Determine y*m(i) - 2*g(i).\nAnswer: -2*i**3 - 3*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -12\/11, 4\/69 in descending order.\nAnswer: 5, 4\/69, -12\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*c - 43*c**2 + 41*c**2 + 2*c.\nAnswer: -2*c**2 + 96*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.63 - 1.64. Let q = p + 0.925. Let u = 0.1013 + q. What is u rounded to three decimal places?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}